TWI512234B - Balance arm lights - Google Patents
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- TWI512234B TWI512234B TW102119325A TW102119325A TWI512234B TW I512234 B TWI512234 B TW I512234B TW 102119325 A TW102119325 A TW 102119325A TW 102119325 A TW102119325 A TW 102119325A TW I512234 B TWI512234 B TW I512234B
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Description
本發明涉及一種利用被動式張力系統的平衡臂燈，特別是涉及一種利用基於正弦定理的拉索長度動態調節機構的拉索張力系統，以平衡地心引力對燈臂造成的力矩影響的平衡臂燈，對於拉索張力系統對平衡臂的施力位置點，進行了最佳化配置，使拉索張力系統能發揮最大效益。The invention relates to a balance arm lamp using a passive tension system, in particular to a cable tension system using a cable length dynamic adjustment mechanism based on a sine theorem, and a balance arm lamp for balancing the influence of gravity on the torque caused by the lamp arm. For the cable tension system, the position of the balance arm is optimized, so that the cable tension system can maximize the benefits.
平衡臂燈是一種具有可收折、可伸展的燈臂的燈具，能勝任多樣的照明需要，是家居和工作場所常見的設備。The Balance Arm Light is a luminaire with a foldable, extendable lamp arm that is suitable for a wide variety of lighting needs and is a common device in homes and workplaces.
一般而言，平衡臂燈有類似人手臂的結構，除光源與燈罩等結構外，具有前燈臂、關節部、後燈臂、基座等結構。In general, the balance arm lamp has a structure similar to a human arm, and has a structure of a front lamp arm, a joint portion, a rear lamp arm, a base, and the like in addition to a structure such as a light source and a lamp cover.
光源與燈罩結構設置於前燈臂的前端，前燈臂的後端通過關節部與後燈臂相連結，關節部具有轉軸結構，使前燈臂能在一個垂直面上，向下收折或向上抬起；後燈臂的後端連接基座，後燈臂與基座之間，一般而言，也具有轉軸結構，相對於基座，後燈臂能適度調整傾角並做水平轉動。The light source and the lampshade structure are disposed at the front end of the front lamp arm, and the rear end of the front lamp arm is coupled to the rear lamp arm through the joint portion, and the joint portion has a rotating shaft structure, so that the front lamp arm can be folded downward on a vertical surface or The rear end of the rear lamp arm is connected to the base, and the rear lamp arm and the base generally have a rotating shaft structure. The rear lamp arm can appropriately adjust the tilt angle and perform horizontal rotation with respect to the base.
以下若非特別指明，前燈臂與後燈臂皆統稱為燈臂，燈臂傾斜或伸展時，會受到地心引力產生的力矩作用，而有下垂的趨勢，必須依靠張力系統的張力和轉軸結構的摩擦力或其他反方向的平衡力矩，來抵抗地心引力，才能使燈臂停留在傾斜或伸展的位置不下垂。Unless otherwise specified, the headlight arm and the rear lamp arm are collectively referred to as the lamp arm. When the lamp arm is tilted or extended, it will be subjected to the moment generated by the gravity of the earth, and there is a tendency to sag, and the tension and the shaft structure of the tension system must be relied upon. Friction or other counter-balanced moments to resist gravity, so that the lamp arm stays in a tilted or extended position without sagging.
平衡臂燈的燈臂，伸展至水平位置時，地心引力對燈臂產生的力矩最大，此時燈臂的張力系統應有足夠的張力，以抵抗地心引力產生的力矩，使伸展的燈臂能靜止而不下垂。When the arm of the balance arm lamp is extended to the horizontal position, the gravity generated by the gravity force on the lamp arm is maximum. At this time, the tension system of the lamp arm should have sufficient tension to resist the moment generated by gravity, so that the extended lamp The arm can be stationary without sagging.
但是，傳統平衡臂燈燈臂的張力系統的張力，與拉伸彈簧被拉伸的長度成正比關係，平衡臂燈燈臂由水平位置向下收折時，拉伸彈簧 會被拉伸得較長，因此導致產生較大的彈簧張力。這種結果，與實際需要是背道而馳的，因為平衡臂燈燈臂由水平位置向下收折時，地心引力對燈臂產生的力矩是遞減的，拉伸彈簧反而被拉伸得較長，是有害無益的，造成平衡臂燈的燈臂不能大角度收折，或者是因為向下收折角度較大，拉伸彈簧被拉伸至極限，使拉伸彈簧容易疲乏。例如：美國專利文獻US 2,076,446，US 2,787,434，US 5,016,153等，都有類似的問題。However, the tension of the tension system of the conventional balance arm lamp arm is proportional to the length of the tension spring being stretched. When the balance arm lamp arm is folded downward from the horizontal position, the tension spring It will be stretched longer, thus resulting in a larger spring tension. This result is contrary to the actual needs. Because the balance arm lamp arm is folded downward from the horizontal position, the moment generated by the gravity force on the lamp arm is decremented, and the tension spring is stretched longer. It is harmful and unhelpful, and the arm of the balance arm lamp cannot be folded at a large angle, or because the downward folding angle is large, the tension spring is stretched to the limit, and the tension spring is easily fatigued. For example, U.S. Patent Nos. 2,076,446, 2,787,434, 5,016,153, etc. all have similar problems.
本發明技術方案，利用基於正弦定理的拉索長度動態調節機構的拉索張力系統，以平衡地心引力對燈臂造成的力矩影響，對於拉索張力系統對平衡臂的施力位置點，進行了最佳化配置，使拉索張力系統能發揮最大效益。According to the technical solution of the present invention, the cable tension system of the cable length dynamic adjustment mechanism based on the sinusoidal theorem is used to balance the influence of the gravity of the gravity on the lamp arm, and the position of the force of the balance arm of the cable tension system is performed. The optimized configuration allows the cable tension system to maximize its benefits.
為解決傳統問題及達到本發明的目的，本發明的具體技術手段是這樣實現的，如下揭示：一種平衡臂燈，其特徵在於，至少包括一平衡臂、一拉索張力系統、一平衡臂支架、一基座，所述拉索張力系統包括一拉索、一金屬圓線彈簧、一拉索長度動態調節機構，所述拉索長度動態調節機構根據直角兩股和a+b=2√2 R．sin(A+π/4)，∠C=π/2，0<∠A<π/2，函數式建構，所述拉索張力系統對平衡臂的施力位置點與平衡臂的水平轉軸的距離，為所述直角三角形的外接圓半徑的2.4倍；所述拉索長度動態調節機構，包括：一力矩支柱、一固定臂、一活動臂、一水平轉軸；所述力矩支柱、固定臂、活動臂長度相等，以水平轉軸為軸心，徑向設置，其端末位置，分別設置有力矩支柱滑輪、固定臂滑輪、活動臂滑輪；所述力矩支柱與固定臂，以水平轉軸為中心，力矩支柱位於水平轉軸的上方，呈一對稱直線剛體結構，構成拉索長度動態調節機構直角三角形的弦邊；所述直角三角形的弦邊，垂直固定於所述平衡臂支架上；所述金屬圓線彈簧是一張力彈簧，金屬圓線彈簧的第一端固定於平衡臂支架上，金屬圓線彈簧的第二端與拉索的第一端連接，拉索的第二端通過拉索長度動態調節機構後，施力於平衡臂的施力位置點；拉索的第二端通過拉索長度動態調節機構時，依序跨騎過固定臂滑輪、活動臂滑輪與力矩支柱滑輪，固定臂滑輪與 活動臂滑輪、活動臂滑輪與力矩支柱滑輪之間的拉索，分別構成拉索長度動態調節機構的直角三角形的兩股；所述水平轉軸與所述直角三角形的平面垂直，所述活動臂與所述平衡臂是剛體結構，以所述水平轉軸為軸心同步轉動，活動臂與平衡臂的相對關係為當平衡臂在水平位置時，直角三角形為等腰直角三角形狀態，而當平衡臂轉動時，直角三角形的直角頂點，能隨著拉索長度動態調節機構之活動臂在直角三角形外接圓半圓弧線上同步移動。In order to solve the conventional problems and achieve the object of the present invention, the specific technical means of the present invention is implemented as follows. A balance arm lamp is characterized in that it comprises at least one balance arm, a cable tension system and a balance arm bracket. a susceptor, the cable tensioning system comprises a cable, a metal round wire spring, and a cable length dynamic adjustment mechanism, wherein the cable length dynamic adjustment mechanism is according to a right angle of two strands and a+b=2√2 R. Sin(A+π/4), ∠C=π/2, 0<∠A<π/2, functional construction, the tension point of the cable tensioning system on the balance arm and the horizontal axis of the balance arm The distance is 2.4 times the radius of the circumcircle of the right triangle; the cable length dynamic adjustment mechanism comprises: a torque strut, a fixed arm, a movable arm, a horizontal rotating shaft; the torque strut, the fixed arm, The movable arm has the same length, with the horizontal rotating shaft as the axis, and the radial setting, and the end position thereof is respectively provided with the torque strut pulley, the fixed arm pulley and the movable arm pulley; the torque strut and the fixed arm are centered on the horizontal rotating shaft, and the torque The pillar is located above the horizontal rotating shaft and has a symmetrical linear rigid body structure, which constitutes a chord edge of a right-angled triangle of the cable length dynamic adjustment mechanism; the chord edge of the right-angled triangle is vertically fixed on the balance arm bracket; the metal round wire The spring is a force spring, the first end of the metal round wire spring is fixed on the balance arm bracket, the second end of the metal round wire spring is connected with the first end of the cable, and the second end of the cable is dynamically adjusted by the length of the cable mechanism Afterwards, the force is applied to the point of the force-applying position of the balance arm; when the second end of the cable is dynamically adjusted by the length of the cable, the straddle pulley, the movable arm pulley and the torque strut pulley are slid in sequence, and the fixed arm pulley is a cable between the movable arm pulley, the movable arm pulley and the torque strut pulley respectively constitutes two squares of a right triangle of the cable length dynamic adjustment mechanism; the horizontal rotating shaft is perpendicular to the plane of the right triangle, the movable arm and The balance arm is a rigid body structure, and the horizontal rotation axis is synchronously rotated. The relative relationship between the movable arm and the balance arm is that when the balance arm is in the horizontal position, the right triangle is an isosceles right triangle state, and when the balance arm rotates At right angles, the right-angled vertices of the right-angled triangle can move synchronously with the movable arm of the cable length dynamic adjustment mechanism on the circumscribed circular semi-circular line of the right-angled triangle.
更優選的是，平衡臂支架(2)包括一支架立桿(20)和一立桿垂直轉軸(21)，支架立桿(20)是一中空圓柱體，金屬圓線彈簧(S)設置於支架立桿(20)中，支架立桿20的底部有金屬圓線彈簧S的固定設施(22)和立桿垂直轉軸(21)，立桿垂直轉軸(21)與基座(3)是轉動結合，立桿垂直轉軸(21)在基座(3)中能水平轉動。More preferably, the balance arm bracket (2) comprises a bracket upright (20) and a vertical pole vertical shaft (21), the bracket upright (20) is a hollow cylinder, and the metal round spring (S) is disposed on In the bracket pole (20), the bottom of the bracket pole 20 has a fixing device (22) of a metal round spring S and a vertical shaft (21) of the vertical pole, and the vertical shaft (21) and the base (3) of the vertical pole are rotated. In combination, the vertical shaft (21) of the vertical pole can be horizontally rotated in the base (3).
更優選的是，平衡臂支架為一伸縮桿，其包括一固定於基座的固定桿和一活動桿，固定桿是一中空圓柱形立桿，活動桿能在固定桿中伸縮或轉動，活動桿是一中空圓柱體，活動桿內部設置有金屬圓線彈簧，金屬圓線彈簧的一端固定於活動桿的底部，金屬圓線彈簧的另一端與拉索連接，伸縮桿還具有鎖緊裝置，能升降或轉動活動桿至適當位置後再予以鎖緊。More preferably, the balance arm bracket is a telescopic rod, which comprises a fixed rod fixed to the base and a movable rod. The fixed rod is a hollow cylindrical pole, and the movable rod can be expanded or rotated in the fixed rod, and the movable rod is movable. The rod is a hollow cylinder, and a metal round wire spring is arranged inside the movable rod. One end of the metal round spring is fixed to the bottom of the movable rod, and the other end of the metal round spring is connected with the cable, and the telescopic rod also has a locking device. It can be lifted or turned to the appropriate position and then locked.
更優選的是，平衡臂包括一平面平行四桿裝置和一延伸臂，平面平行四桿裝置的基桿是拉索長度動態調節機構固定臂的一部份，平面平行四桿裝置的連桿上，設置有與延伸臂結合的轉軸機構，該轉軸機構具有一垂直轉軸，延伸臂能利用轉軸機構的垂直轉軸做水平轉動，延伸臂的遠端設置有燈罩設施。More preferably, the balance arm comprises a plane parallel four-bar device and an extension arm, and the base rod of the plane parallel four-bar device is a part of the cable length dynamic adjustment mechanism fixing arm, and the connecting rod of the plane parallel four-bar device A rotating shaft mechanism is provided, which is coupled with an extending arm, the rotating shaft mechanism has a vertical rotating shaft, the extending arm can be horizontally rotated by the vertical rotating shaft of the rotating shaft mechanism, and the distal end of the extending arm is provided with a lampshade device.
更優選的是，平衡臂的轉動機構具有一檔體機構，使平衡臂最高只能抬高至水平位置，平衡臂只能從水平位置，垂直向下轉動，不能向上轉動；拉索張力系統對平衡臂的施力位置點至水平轉軸的距離長度，等於拉索長度動態調節機構直角三角形外接圓半徑的2.4倍。More preferably, the rotating mechanism of the balance arm has a gear mechanism, so that the balance arm can only be raised up to the horizontal position, and the balance arm can only rotate from the horizontal position, vertically downward, and cannot rotate upward; the cable tension system is The distance from the point of application of the balance arm to the horizontal axis is equal to 2.4 times the radius of the circumscribed circle of the right angle triangle of the cable length dynamic adjustment mechanism.
1‧‧‧平衡臂1‧‧‧Balance arm
2‧‧‧平衡臂支架2‧‧‧Balance arm bracket
3‧‧‧基座3‧‧‧Base
a、b‧‧‧直角三角形兩股a, b‧‧‧ rectangular triangles
c‧‧‧直角三角形弦C‧‧‧right triangle strings
A、B‧‧‧直角三角形兩銳角頂點A, B‧‧‧ right angle triangle two acute angle vertices
C‧‧‧直角三角形直角頂點C‧‧‧ right angle triangle right angle vertex
T‧‧‧拉索T‧‧ Lasso
S‧‧‧金屬圓線彈簧S‧‧‧metal round spring
D‧‧‧施力位置點D‧‧‧ exertion point
R‧‧‧外接圓半徑R‧‧‧ circumscribed radius
K‧‧‧檔體機構K‧‧‧ body mechanism
XE‧‧‧基桿XE‧‧‧Base
FG‧‧‧連桿FG‧‧‧ connecting rod
11‧‧‧平面平行四桿裝置11‧‧‧ Planar parallel four-bar device
111‧‧‧延伸臂111‧‧‧Extension arm
20‧‧‧支架立桿20‧‧‧Support pole
21‧‧‧立桿垂直轉軸21‧‧‧ Vertical vertical axis
22‧‧‧固定設施22‧‧‧Fixed facilities
30‧‧‧伸縮桿30‧‧‧ Telescopic rod
31‧‧‧固定桿31‧‧‧Fixed rod
32‧‧‧活動桿32‧‧‧ activity pole
33‧‧‧鎖緊裝置33‧‧‧Locking device
40‧‧‧圓柱形支架40‧‧‧Cylindrical bracket
41‧‧‧圓柱形外套41‧‧‧Single jacket
X‧‧‧水平轉軸X‧‧‧ horizontal axis
Y‧‧‧轉軸機構Y‧‧‧ shaft mechanism
100‧‧‧拉索張力系統100‧‧‧ Cable tension system
101‧‧‧拉索長度動態調節機構101‧‧‧ Cable length dynamic adjustment mechanism
102‧‧‧力矩支柱102‧‧‧Torque pillar
103‧‧‧力矩支柱滑輪103‧‧‧Torque prop pulley
104‧‧‧固定臂104‧‧‧Fixed Arm
105‧‧‧固定臂滑輪105‧‧‧Fixed arm pulley
106‧‧‧活動臂106‧‧‧Active arm
107‧‧‧活動臂滑輪107‧‧‧Active arm pulley
第1圖：本發明基於正弦定理的原理說明圖。Fig. 1 is a schematic diagram of the principle of the present invention based on a sine theorem.
第2圖：本發明中利用的拉索長度動態調節機構實施例說明圖。Fig. 2 is an explanatory view showing an embodiment of a cable length dynamic adjustment mechanism used in the present invention.
第3圖：最佳化施力位置點的說明圖。Figure 3: An explanatory diagram of the optimum position of the applied force.
第4圖：本發明一個實施例示意圖。Figure 4: Schematic representation of one embodiment of the invention.
第5圖：本發明的一個應用例說明圖。Fig. 5 is an explanatory view showing an application example of the present invention.
第6圖：本發明另一個應用例說明圖。Figure 6 is an explanatory view of another application example of the present invention.
本發明技術方案，將配合附圖，詳細說明。The technical solutions of the present invention will be described in detail with reference to the accompanying drawings.
本發明的技術核心是基於正弦定理的拉索張力系統，首先由本發明技術核心的原理進行說明。The technical core of the present invention is a cable tension system based on the sine theorem, first explained by the principle of the core of the present technology.
第1圖是本發明基於正弦定理的拉索張力系統原理說明圖。第1圖中，a、b、c為△ABC的∠A、∠B、∠C的對邊，根據正弦定理，a/sinA=b/sinB=c/sinC=2R，其中，R為△ABC的外接圓半徑。Fig. 1 is an explanatory view showing the principle of a cable tension system based on the sine theorem of the present invention. In Fig. 1, a, b, and c are the opposite sides of ∠A, ∠B, and ∠C of ΔABC. According to the sine theorem, a/sinA=b/sinB=c/sinC=2R, where R is ΔABC The radius of the circumscribed circle.
令∠C為直角時，△ABC為直角三角形，∠C的對邊為弦邊c，弦邊c的長度為2R，a與b為兩股。∠C頂點C在以R為半徑的外接圓圓弧上移動時，例如移動至C1點位置，△ABC均保持為直角三角形。根據正弦定理，直角△ABC兩股和a+b=2R(sinA+sinB)=2R(sinA+cosA)。When ∠C is a right angle, ΔABC is a right-angled triangle, the opposite side of ∠C is a chord side c, the length of the chord side c is 2R, and a and b are two strands. When the 顶点C vertex C moves on a circumscribed circular arc having a radius of R, for example, moving to the position of the C1 point, ΔABC is maintained as a right-angled triangle. According to the sine theorem, two angles of right angle ΔABC and a+b=2R(sinA+sinB)=2R(sinA+cosA).
另根據，同樣週期但不同相位移動的正弦波的任何線性組合是有相同週期但不同相位移動的正弦波的特性，在正弦和餘弦波的線性組合的情況下，我們有：m sinx+n cosx=√(m^2+n^2)×sin(x+φ)；上述m、n是任意常數，φ=arctan(n/m)；令：m=1、n=1，則sin x+cos x=√2×sin(x+π/4)In addition, any linear combination of sinusoids with the same period but different phase shifts is a characteristic of a sine wave with the same period but different phase shifts. In the case of a linear combination of sine and cosine waves, we have: m sinx+n cosx =√(m^2+n^2)×sin(x+φ); the above m, n are arbitrary constants, φ=arctan(n/m); let: m=1, n=1, then sin x+ Cos x=√2×sin(x+π/4)
得到公式1：直角△ABC兩股和a+b=2√2 R×sin(A+π/4)；公式1顯示，直角△ABC兩股和(a+b)是一正弦函數，相位差為π/4。當∠A=π/4時，△ABC為等腰直角三角形，兩股和a+b為最大值，a+b=2√2R(最大值)；根據公式1及第1圖，直角△ABC的直角頂點C，離開△ABC為等腰直角三角形位置，在半圓弧線上移動時，兩股和a+b逐漸減小，當∠A→0時a→0，a+b→2R(最小值)，當∠A→π/2時b→0，a+b→2R(最 小值)，兩股和a+b的最大值與最小值的差為2√2R-2R，0<∠A<π/2。顯示直角△ABC的直角頂點C，離開△ABC為等腰直角三角形位置，在外接圓半圓弧線上移動時，兩股和a+b由最大值2√2R減小至最小值2R，最大的長度變化為：△(a+b)(最大值)=2√2R-2R=0.8R。Get the formula 1: right angle △ ABC two shares and a + b = 2 √ 2 R × sin (A + π / 4); Equation 1 shows that the right angle △ ABC two and (a + b) is a sine function, phase difference It is π/4. When ∠A=π/4, △ABC is an isosceles right triangle, two strands and a+b are maximum values, a+b=2√2R (maximum value); according to formula 1 and figure 1, right angle △ABC The right-angled vertex C, leaving △ABC as the isosceles right-angled triangle position, when moving on the semi-circular arc line, the two strands and a+b gradually decrease, when ∠A→0, a→0, a+b→2R (minimum Value), when ∠A→π/2, b→0, a+b→2R (most Small value), the difference between the maximum value and the minimum value of the two shares and a+b is 2√2R-2R, 0<∠A<π/2. Display the right angle apex C of the right angle △ABC, leaving △ABC as the isosceles right triangle position, when moving on the circumscribed semicircular arc line, the two strands and a+b are reduced from the maximum value 2√2R to the minimum value 2R, the largest The length change is: Δ(a + b) (maximum value) = 2 √ 2R - 2R = 0.8R.
這表示，如果a、b兩股是一拉索張力系統的部份拉索時，則直角△ABC的直角頂點C，離開△ABC為等腰直角三角形位置，在外接圓半圓弧線上移動時，該拉索張力系統的總長度不但沒有被拉伸，反而會因為a、b兩股和減小，而釋放出一些拉索，與傳統平衡臂燈燈臂的被動式張力系統被拉伸的行為完全不同。This means that if the two strands a and b are part of the cable of the cable tension system, then the right angle apex C of the right angle ΔABC leaves the ΔABC as the isosceles right triangle position and moves on the circumscribed semicircular arc line. The total length of the cable tension system is not stretched, but instead of releasing a few cables due to the a and b strands and the reduction, the passive tension system of the conventional balance arm lamp arm is stretched. completely different.
第2圖是本發明中利用的拉索張力系統說明圖。第2圖顯示的是一個被動式平衡臂系統，利用上述公式1的原理，可以設計一個不同於傳統被動式拉索張力系統的機構，使地心引力對平衡臂產生的力矩變化關係，與拉伸彈簧被拉伸的長度，不再背道而馳。Fig. 2 is an explanatory view of a cable tension system used in the present invention. Figure 2 shows a passive balance arm system. Using the principle of Equation 1 above, it is possible to design a mechanism different from the conventional passive cable tension system, so that the relationship between the force exerted by the gravity on the balance arm and the tension spring The length that is stretched is no longer the opposite.
第2圖中平衡臂1以水平轉軸X為軸心，能垂直上下運動，水平轉軸X垂直于平衡臂1的垂直運動平面。拉索張力系統100包括拉索T與金屬圓線彈簧S，金屬圓線彈簧S是一張力彈簧，拉索T通過一拉索長度動態調節機構101(以鏈線表示)後，施力於平衡臂1的施力位置點D。所述拉索長度動態調節機構101，是利用上述直角三角形兩股和函數式的特性而實施建構，以直角三角形△ABC，為基礎架構，拉索長度動態調節機構101的直角△ABC的兩股a、b是拉索張力系統100的拉索T的一部份，平衡臂1在水平位置時，直角△ABC為等腰直角三角形狀態，而當平衡臂1轉動時，直角△ABC的直角頂點C，能隨著機械結構在直角△ABC外接圓半圓弧線上同步移動，則拉索張力系統100中，由△ABC兩股a、b組成的部份拉索，將依上述直角△ABC兩股和a+b=2√2 R．sin(A+π/4)的函數式同步變化，其中，0<∠A<π/2。In the second figure, the balance arm 1 is pivoted up and down with the horizontal axis of rotation X, and the horizontal axis X is perpendicular to the vertical plane of motion of the balance arm 1. The cable tension system 100 includes a cable T and a metal round wire spring S. The metal round wire spring S is a force spring. The cable T is applied to the balance by a cable length dynamic adjustment mechanism 101 (shown by a chain line). The point of application of the arm 1 is point D. The cable length dynamic adjustment mechanism 101 is constructed by utilizing the characteristics of the two right-angled triangles and the functional formula, and the right angle triangle ΔABC is used as the basic structure, and the two sides of the right angle ΔABC of the cable length dynamic adjustment mechanism 101 are two. a, b is a part of the cable T of the cable tension system 100. When the balance arm 1 is in the horizontal position, the right angle ΔABC is in the isosceles right triangle state, and when the balance arm 1 is rotated, the right angle apex of the right angle ΔABC C, can move synchronously with the mechanical structure at a right angle △ABC circumscribed semi-circular arc line, then in the cable tension system 100, a part of the cable consisting of ΔABC two a and b will be according to the above right angle ΔABC Shares and a+b=2√2 R. The functional formula of sin(A+π/4) changes synchronously, where 0<∠A<π/2.
因為整個拉索張力系統100是由拉索T與金屬圓線彈簧S組成，而拉索T本身長度是不變的，因此所述的兩股和的長度變化，都是來自於金屬圓線彈簧S自身的長度變化。兩股和的長度較長時，表示金屬圓線彈簧S的長度被拉長，兩股和的長度較短時，表示金屬圓線彈簧S被 拉伸的長度減小。Since the entire cable tension system 100 is composed of the cable T and the metal round wire spring S, and the length of the cable T itself is constant, the length variation of the two strands is derived from the metal round wire spring. The length of S itself varies. When the length of the two strands is long, it means that the length of the metal round wire spring S is elongated, and when the length of the two strands is short, the metal round wire spring S is The length of the stretch is reduced.
由於平衡臂1在與地心引力垂直的水平位置時，受到的地心引力力矩最大，因此平衡臂1在水平位置時，金屬圓線彈簧S應處於最大拉伸狀態，以提供最大張力，亦即拉索張力系統的拉索總長度應處於最大值狀態，兩股和的長度應是最大值。Since the balance arm 1 is at the horizontal position perpendicular to the gravity of the earth, the gravity moment is the largest, so when the balance arm 1 is in the horizontal position, the metal round wire spring S should be in the maximum tensile state to provide the maximum tension. That is, the total length of the cable of the cable tension system should be at the maximum value, and the length of the two sums should be the maximum value.
根據公式1，直角△ABC兩股和a+b=2√2 R．sin(A+π/4)，兩股和最大值是在∠A=π/4時，亦即△ABC為等腰直角三角形時。因此，平衡臂1在水平位置時，直角△ABC應為等腰直角三角形狀態，金屬圓線彈簧S處於最大拉伸狀態，以提供最大張力。這樣，當平衡臂1離開水平位置時，拉索張力系統的張力將呈現遞減，改正了傳統平衡臂被動式拉索張力系統的張力與地心引力對平衡臂產生的力矩變化關係，有時是背道而馳的缺點。According to the formula 1, the right angle △ ABC two strands and a + b = 2 √ 2 R. Sin(A+π/4), the two-strand and the maximum value are when ∠A=π/4, that is, when ΔABC is an isosceles right triangle. Therefore, when the balance arm 1 is in the horizontal position, the right angle ΔABC should be in the isosceles right triangle state, and the metal round wire spring S is in the maximum tension state to provide the maximum tension. Thus, when the balance arm 1 leaves the horizontal position, the tension of the cable tension system will decrease, correcting the relationship between the tension of the conventional balance arm passive cable tension system and the moment generated by the gravity force on the balance arm, sometimes in the opposite direction. Shortcomings.
根據上述基於正弦定理的原理，本發明一種平衡臂燈的拉索長度動態調節機構101(以鏈線表示)，具體包括：一力矩支柱102，其端末設置有一力矩支柱滑輪103；一固定臂104，其端末設置有一固定臂滑輪105；一活動臂106，其端末設置有一活動臂滑輪107；所述力矩支柱102、固定臂104、活動臂106，長度相等，都等於直角△ABC外接圓的半徑R，以水平轉軸X為軸心，徑向設置，其中，力矩支柱102、固定臂104，以水平轉軸X為中心，呈一對稱直線結構，構成直角△ABC的弦邊；力矩支柱滑輪103與活動臂滑輪107之間的連線、活動臂滑輪107與固定臂滑輪105之間的連線，構成拉索長度動態調節機構101的直角三角形的兩股，該直角三角形機構的兩股，由局部的拉索構成。According to the principle of the sinusoidal theorem, the cable length dynamic adjustment mechanism 101 (indicated by a chain line) of the balance arm lamp comprises: a torque strut 102, and a torque strut pulley 103 is disposed at the end; a fixed arm 104 A fixed arm pulley 105 is disposed at the end; a movable arm 106 is disposed at the end with a movable arm pulley 107; the torque strut 102, the fixed arm 104, and the movable arm 106 are equal in length, and are equal to the radius of the circumscribed circle of the right angle ΔABC R, with the horizontal axis of rotation X as the axis, is arranged radially, wherein the moment strut 102 and the fixed arm 104 are centered on the horizontal axis of rotation X, and have a symmetrical linear structure, forming a chord edge of a right angle ΔABC; The connection between the movable arm pulley 107, the connection between the movable arm pulley 107 and the fixed arm pulley 105 constitutes two squares of the right triangle of the cable length dynamic adjustment mechanism 101, and the two sides of the right angle triangular mechanism are partially The cable is composed.
上述力矩支柱102、固定臂104、活動臂106，長度相等，都等於直角△ABC外接圓的半徑R，是一個概略的敘述，因為滑輪裝置的半徑長度相對較小，為了便於說明的緣故，簡化忽略了各滑輪裝置的半徑長度。The torque strut 102, the fixed arm 104, and the movable arm 106 are equal in length and equal to the radius R of the circumscribed circle of the right angle ΔABC, which is a rough description, because the radius of the pulley device is relatively small, which is simplified for convenience of explanation. The radius length of each pulley device is ignored.
所述活動臂106與平衡臂1是剛性結合，以水平轉軸X為轉軸，活動臂106隨平衡臂1同步轉動；活動臂106與平衡臂1的相對位置關係，為當平衡臂1在水平位置時，直角△ABC為等腰直角三角形狀態。The movable arm 106 is rigidly coupled with the balance arm 1 with the horizontal axis of rotation X as the rotation axis, and the movable arm 106 rotates synchronously with the balance arm 1; the relative positional relationship between the movable arm 106 and the balance arm 1 is when the balance arm 1 is in the horizontal position. When the right angle ΔABC is an isosceles right triangle state.
第2圖中平衡臂支架2和基座3，具有確定平衡臂1和拉索長度動態調節機構的活動臂106與地心引力之間的關係的功能。直角△ABC的弦邊與平衡臂支架2是剛性結合，當平衡臂1在水平位置時，拉索長度動態調節機構活動臂106垂直于直角△ABC的弦邊，直角△ABC為等腰直角三角形狀態。The balance arm bracket 2 and the base 3 in Fig. 2 have a function of determining the relationship between the balance arm 1 and the movable arm 106 of the cable length dynamic adjustment mechanism and the gravity. The chord edge of the right angle ΔABC is rigidly combined with the balance arm bracket 2. When the balance arm 1 is in the horizontal position, the cable length dynamic adjustment mechanism movable arm 106 is perpendicular to the chord edge of the right angle ΔABC, and the right angle ΔABC is an isosceles right triangle. status.
因為力矩是力臂與垂直於力臂的分力的乘積，施力位置點D至水平轉軸X的距離長度較大時，拉索張力系統100的金屬圓線彈簧S的張力可以小一些。施力位置點D至水平轉軸X的最佳距離長度，是本發明技術方案要解決的問題。Since the moment is the product of the force arm and the component force perpendicular to the force arm, the tension of the metal round wire spring S of the cable tension system 100 can be made smaller when the distance between the force application point D and the horizontal rotation axis X is large. The optimum distance length from the point of application D to the horizontal axis of rotation X is a problem to be solved by the technical solution of the present invention.
第3圖是最佳化施力位置點的說明圖，施力位置點D至水平轉軸X的距離長度為KR，平衡臂1位於水平位置XH時，位於直角△ABC拉索長度動態調節機構外部的拉索長度為AD，當平衡臂1垂直向下轉動θ角度後，位於直角△ABC拉索長度動態調節機構外部的拉索長度為：L=√(R+KRsin θ)^2+(KRcos θ)^2=√〔R^2+K^2×R^2×(sin θ)^2+2 K×R^2×sin θ+K^2×R^2×(cos θ)^2=√〔(R^2+K^2×R^2)+2 K×R^2×sin θ〕Figure 3 is an explanatory diagram of the optimum position of the applied force. The distance from the point D of the force application to the horizontal axis X is KR, and when the balance arm 1 is at the horizontal position XH, it is located outside the dynamic adjustment mechanism of the right angle ΔABC cable length. The length of the cable is AD. When the balance arm 1 is rotated vertically by θ angle, the length of the cable outside the right angle ΔABC cable length dynamic adjustment mechanism is: L=√(R+KRsin θ)^2+(KRcos θ)^2=√[R^2+K^2×R^2×(sin θ)^2+2 K×R^2×sin θ+K^2×R^2×(cos θ)^2 =√[(R^2+K^2×R^2)+2 K×R^2×sin θ]
當θ=0時，L(0)=√(R^2+K^2×R^2)；當θ=π/2時，L(π/2)=√(R+KR)^2=R+KRWhen θ=0, L(0)=√(R^2+K^2×R^2); when θ=π/2, L(π/2)=√(R+KR)^2= R+KR
當θ由θ=0轉動至θ=π/2時，位於直角△ABC拉索長度動態調節機構外部的拉索長度，增加了：△L=(R+KR)-√(R^2+K^2×R^2)When θ is rotated from θ=0 to θ=π/2, the length of the cable located outside the right angle ΔABC cable length dynamic adjustment mechanism is increased: ΔL=(R+KR)-√(R^2+K ^2×R^2)
與此同時，當平衡臂1垂直向下轉動θ角度後，直角△ABC的∠A增加了θ/2，根據公式1，拉索長度動態調節機構兩股的拉索長度和為：a+b=2√2 R×sin〔(A+θ/2)+π/4)〕，當θ=0時，∠A=π/4，a+b=2√2 R；當θ=π/2時，a+b=2R；當θ由θ=0轉動至θ=π/2時，直角△ABC的拉索長度動態調節機構兩股的拉索長度減少了：2√2 R-2R。At the same time, when the balance arm 1 is rotated vertically downward by the angle θ, the ∠A of the right angle ΔABC is increased by θ/2. According to the formula 1, the length of the cable of the cable length dynamic adjustment mechanism is: a+b =2√2 R×sin[(A+θ/2)+π/4)], when θ=0, ∠A=π/4, a+b=2√2 R; when θ=π/2 When a = b = 2R; when θ is rotated from θ = 0 to θ = π / 2, the length of the cable length of the cable length dynamic adjustment mechanism of the right angle ΔABC is reduced: 2 √ 2 R-2R.
如果位於直角△ABC拉索長度動態調節機構外部的拉索長 度增加的長度，與直角△ABC的拉索長度動態調節機構兩股的拉索長度減少的長度相等，則金屬圓線彈簧S被拉伸的長度不會增加。If the cable is located outside the right angle △ ABC cable length dynamic adjustment mechanism The length of the increase is equal to the length of the cable length reduction of the two cable length dynamic adjustment mechanisms of the right angle ΔABC, and the length of the metal round wire spring S is not increased.
亦即(R+KR)-√(R^2+K^2×R^2)=2√2 R-2R時，金屬圓線彈簧S被拉伸的長度不會增加。That is, when (R+KR)-√(R^2+K^2×R^2)=2√2 R-2R, the length at which the metal bobbin spring S is stretched does not increase.
解上式，得到K=2.4。Solve the above formula and get K=2.4.
綜合上述，當拉索張力系統100對平衡臂1的施力位置點D至水平轉軸X的距離長度XD，等於拉索長度動態調節機構直角△ABC外接圓半徑的2.4倍時，則當平衡臂1離開水平位置，向下轉動至垂直時，亦即當θ由θ=0向下轉動至θ=π/2時，金屬圓線彈簧S被拉伸的長度不會增加。在θ由θ=0轉動至θ=π/2的轉動過程中，直角△ABC的拉索長度動態調節機構兩股的拉索長度是趨向減短，能抵消直角△ABC拉索長度動態調節機構外部的拉索長度增加的趨勢，此一效果，能改正傳統平衡臂被動式拉索張力系統的張力與地心引力對平衡臂產生的力矩變化關係，呈現背道而馳的缺點。In summary, when the distance XD of the cable tensioning system 100 from the urging position point D of the balance arm 1 to the horizontal rotation axis X is equal to 2.4 times the radius of the circumscribed circle of the right angle ΔABC of the cable length dynamic adjustment mechanism, then the balance arm 1 When leaving the horizontal position and rotating downward to the vertical, that is, when θ is rotated downward from θ = 0 to θ = π/2, the length of the metal bobbin spring S being stretched does not increase. During the rotation of θ from θ=0 to θ=π/2, the length of the cable length of the cable length dynamic adjustment mechanism of the right angle △ABC is tending to be shortened, which can cancel the dynamic adjustment mechanism of the right angle ΔABC cable length. The tendency of the external cable length to increase, this effect can correct the relationship between the tension of the conventional balance arm passive cable tension system and the moment change caused by the gravity force on the balance arm, which presents the disadvantage of being contrary to each other.
第4圖是本發明一個實施例示意圖。在說明實施例示意圖之前，應當先釐清拉索長度動態調節機構直角△ABC的∠A由0到π/4的區間，拉索張力系統的變化情形。Figure 4 is a schematic illustration of one embodiment of the invention. Before explaining the schematic diagram of the embodiment, it should be clarified that the ∠A of the right angle ΔABC of the cable length dynamic adjustment mechanism is from 0 to π/4, and the tension of the cable tension system.
再回頭看第3圖，當∠A=0時，平衡臂1應位於垂直向上的位置而與XU重合，因此，直角△ABC拉索長度動態調節機構外部的拉索長度為：KR-R；當∠A=π/4時，平衡臂1位於水平位置XH，直角△ABC拉索長度動態調節機構外部的拉索長度為：√(R^2+K^2×R^2)；當∠A由0→π/4時，直角△ABC拉索長度動態調節機構外部的拉索長度增加了〔√(R^2+K^2×R^2)〕-(KR-R)，∵K=2.4Looking back at Figure 3, when ∠A=0, the balance arm 1 should be in the vertical position and coincide with the XU. Therefore, the cable length outside the right angle ΔABC cable length dynamic adjustment mechanism is: KR-R; When ∠A=π/4, the balance arm 1 is located at the horizontal position XH, and the length of the cable outside the dynamic adjustment mechanism of the right angle ΔABC cable length is: √(R^2+K^2×R^2); When A is 0→π/4, the length of the cable outside the right angle △ABC cable length adjustment mechanism is increased [√(R^2+K^2×R^2)]-(KR-R), ∵K =2.4
∴〔√(R^2+K^2×R^2)〕-(KR-R)=1.2R；與此同時，直角△ABC拉索長度動態調節機構內部的拉索長度增加了2√2 R-2R=0.8R。在這一區間，當∠A由0→π/4時，直角△ABC拉索長度動態調節機構內部和外部的拉索長度，都是呈現增加的趨 勢，拉索張力系統總長度總共增加了1.2R加0.8R等於2R，也就是當∠A由0→π/4時，金屬圓線彈簧S被拉伸了2R的長度，與傳統平衡臂被動式拉索張力系統相比較，在此區間，金屬圓線彈簧S被拉伸的長度是比較長的。∴[√(R^2+K^2×R^2)]-(KR-R)=1.2R; at the same time, the length of the cable inside the right angle △ABC cable length dynamic adjustment mechanism is increased by 2√2 R-2R = 0.8R. In this interval, when ∠A is from 0→π/4, the length of the cable inside and outside the right angle ΔABC cable length adjustment mechanism is increasing. The total length of the cable tension system is increased by 1.2R plus 0.8R equal to 2R, that is, when ∠A is from 0→π/4, the metal round wire spring S is stretched by 2R length, and the conventional balance arm is passive. In comparison with the cable tension system, the length of the metal round wire spring S being stretched is relatively long in this interval.
整體看來，直角△ABC拉索長度動態調節機構可以看成一個拉索預存機構，在∠A由0→π/4時，把拉索加速預存起來，在∠A由π/4時→π/2時，再釋放出來。Overall, the right angle △ ABC cable length dynamic adjustment mechanism can be regarded as a cable pre-existing mechanism. When ∠A is 0→π/4, the cable acceleration is pre-stored, when ∠A is π/4→π At /2, release it again.
根據上述解析，當平衡臂1的轉動空間包括∠A由0→π/4的區間時，金屬圓線彈簧S的設計，必須考慮到金屬圓線彈簧S將被拉伸2R的情況。According to the above analysis, when the rotational space of the balance arm 1 includes the section where ∠A is from 0 → π / 4, the design of the metal round wire spring S must take into consideration the case where the metal round wire spring S is to be stretched 2R.
因此，第4圖中，拉索張力系統對平衡臂1的施力位置點D至水平轉軸X的距離長度，等於拉索長度動態調節機構直角△ABC外接圓半徑R的2.4倍，當平衡臂1的轉動空間包括∠A由0→π/4的區間時，金屬圓線彈簧S需要比較大的變形空間，因此第4圖中設置有比較長的支架立桿20，取代第2圖中的平衡臂支架2，以提供比較大的變形空間給金屬圓線彈簧S。所述支架立桿20是一中空的圓柱體，金屬圓線彈簧S設置於支架立桿20圓柱體的內部，金屬圓線彈簧S的一端固定於支架立桿20的底部，金屬圓線彈簧S的另一端與拉索T連接。支架立桿20的底部有金屬圓線彈簧S的固定設施22和立桿垂直轉軸21，立桿垂直轉軸21與基座是轉動結合，立桿垂直轉軸21在基座中能水平轉動。Therefore, in Fig. 4, the distance between the point D of the cable tensioning system and the horizontal axis X of the balance arm 1 is equal to 2.4 times the radius of the circumscribed circle of the right angle ΔABC of the cable length adjusting mechanism, when the balance arm When the rotational space of 1 includes the interval of ∠A from 0→π/4, the metal round wire spring S needs a relatively large deformation space, so that a relatively long stand upright 20 is provided in FIG. 4 instead of the second figure. The arm bracket 2 is balanced to provide a relatively large deformation space to the metal bobbin spring S. The bracket pole 20 is a hollow cylinder, and the metal round spring S is disposed inside the cylinder of the bracket pole 20, and one end of the metal round spring S is fixed to the bottom of the bracket pole 20, and the metal round spring S The other end is connected to the cable T. The bottom of the bracket upright 20 has a fixing device 22 of a metal round wire spring S and a vertical shaft 21 of the vertical pole. The vertical shaft 21 of the vertical pole is rotatably coupled with the base, and the vertical shaft 21 of the vertical pole can be horizontally rotated in the base.
根據前述的說明，當平衡臂1離開水平位置，垂直向上抬起時，拉索張力系統對平衡臂1的施力將隨抬起的高度而漸減；當平衡臂1離開水平位置，垂直向下轉動，當垂直向下轉動的角度θ等於π/2時，亦即垂直向下時，因為拉索張力系統總長度不變，拉索張力系統對平衡臂1的施力，基本上維持平衡臂1在水平位置時的施力，但是在轉動過程中，由於垂直於平衡臂1的分力是遞減的，因此力矩是遞減的，這符合平衡臂1離開水平位置，地心引力力矩也是遞減的趨勢。改正了傳統平衡臂被動式拉索張力系統的張力與地心引力對平衡臂產生的力矩變化關係，背道而馳的缺點。According to the foregoing description, when the balance arm 1 is moved away from the horizontal position and lifted vertically upward, the force applied by the cable tension system to the balance arm 1 will gradually decrease with the height of the lift; when the balance arm 1 leaves the horizontal position, vertically downward Rotation, when the angle θ of vertical downward rotation is equal to π/2, that is, vertically downward, because the total length of the cable tension system is constant, the tension of the cable tension system to the balance arm 1 substantially maintains the balance arm 1 the force applied in the horizontal position, but during the rotation, since the component force perpendicular to the balance arm 1 is decreasing, the torque is decremented, which is in accordance with the balance arm 1 leaving the horizontal position, and the gravity moment is also decreasing. trend. Corrected the shortcomings of the relationship between the tension of the traditional balance arm passive cable tension system and the gravitational force of the gravity arm on the balance arm.
第5圖是本發明的一個應用例說明圖，與第4圖比較，支架立桿20被伸縮桿30取代，伸縮桿30包括一固定於基座3的固定桿31和一活動桿32，固定桿31是一中空圓柱形立桿，活動桿32能在固定桿31中伸縮或轉動，活動桿32是一中空圓柱形桿，具有與第4圖中的支架立桿20類似的功能，提供比較大的變形空間給金屬圓線彈簧S。活動桿32內部設置有金屬圓線彈簧S，金屬圓線彈簧S的一端固定於活動桿32的底部，金屬圓線彈簧S的另一端與拉索T連接。伸縮桿30還具有鎖緊裝置33，鬆開鎖緊裝置33後，能升降或轉動活動桿32至適當位置，然後再鎖緊。5 is an explanatory view of an application example of the present invention. Compared with FIG. 4, the stand upright 20 is replaced by a telescopic rod 30. The telescopic rod 30 includes a fixed rod 31 fixed to the base 3 and a movable rod 32 fixed. The rod 31 is a hollow cylindrical upright, the movable rod 32 can be telescoped or rotated in the fixed rod 31, and the movable rod 32 is a hollow cylindrical rod having a function similar to that of the bracket upright 20 in Fig. 4, providing a comparison A large deformation space is given to the metal round wire spring S. The movable rod 32 is internally provided with a metal round wire spring S. One end of the metal round wire spring S is fixed to the bottom of the movable rod 32, and the other end of the metal round wire spring S is connected to the cable T. The telescopic rod 30 also has a locking device 33. After the locking device 33 is released, the movable rod 32 can be raised or lowered to a proper position and then locked.
第5圖中平衡臂1包括一平面平行四桿裝置11和一延伸臂111，平面平行四桿裝置11的基桿XE是拉索長度動態調節機構固定臂104的一部份，與基桿XE相鄰且與水平轉軸X連接的連桿XG為主動桿，拉索T施力於主動桿上的施力位置點D，施力位置點D至水平轉軸X的距離長度XD，等於拉索長度動態調節機構直角△ABC外接圓半徑R的2.4倍。In Fig. 5, the balance arm 1 comprises a plane parallel four-bar device 11 and an extension arm 111. The base rod XE of the plane parallel four-bar device 11 is a part of the cable length dynamic adjustment mechanism fixing arm 104, and the base rod XE The connecting rod XG adjacent to the horizontal rotating shaft X is an active rod, and the cable T is applied to the point D of the force applying position on the active rod, and the distance length XD of the force applying position point D to the horizontal rotating shaft X is equal to the length of the cable. The dynamic adjustment mechanism has a right angle ΔABC circumscribed by a radius R of 2.4 times.
平面平行四桿裝置11的連接桿FG上，設置有與延伸臂111結合的轉軸機構Y，轉軸機構Y具有一垂直轉軸，延伸臂111能利用轉軸機構Y的垂直轉軸做水平轉動，延伸臂111的遠端，設置有燈罩等設施。The connecting rod FG of the plane parallel four-bar device 11 is provided with a rotating shaft mechanism Y coupled with the extending arm 111. The rotating shaft mechanism Y has a vertical rotating shaft, and the extending arm 111 can be horizontally rotated by the vertical rotating shaft of the rotating shaft mechanism Y, and the extending arm 111 The far end is equipped with a lampshade and other facilities.
上述平面平行四桿裝置是常見機構，因此不做詳述。The above-mentioned plane parallel four-bar device is a common mechanism and therefore will not be described in detail.
此外，前文中述及的直角△ABC的外接圓半徑R的長短，與整體結構密切相關，其長短與支撐臂的負載和金屬圓線彈簧S的彈簧力大小都有關聯，整體的美觀也是重要的考量因素。一般而言，選定直角△ABC的外接圓半徑R的長短，是一個實際應用時的選擇問題。In addition, the length of the circumscribed circle radius R of the right angle ΔABC mentioned in the foregoing is closely related to the overall structure, and the length thereof is related to the load of the support arm and the spring force of the metal round wire spring S, and the overall beauty is also important. Considerations. In general, the length of the circumscribed circle radius R of the right angle ΔABC is selected as a practical selection problem.
在進行第4圖實施例說明時，討論了拉索長度動態調節機構直角△ABC的∠A由0到π/4的區間中，拉索張力系統的長度變化情形。由於此一區間中，拉索張力系統的長度變化大，而此拉索張力系統的長度變化是由金屬圓線彈簧S提供的，導致第4圖實施例中的支架立桿20，必需具備一個基本的的長度，才能合理實現金屬圓線彈簧S的變形需要。因此對於能離開水平位置，垂直向上抬起，以調整位置的平衡臂燈，比較長的支架立桿20是必要的。In the description of the embodiment of Fig. 4, the change of the length of the cable tension system in the interval from 0 to π/4 of the right angle ΔABC of the cable length dynamic adjustment mechanism is discussed. Since the length of the cable tension system varies greatly in this interval, the length change of the cable tension system is provided by the metal round wire spring S, resulting in the stand upright 20 in the embodiment of Fig. 4, which must have a The basic length can reasonably realize the deformation of the metal round wire spring S. Therefore, for a balance arm lamp that can be lifted vertically upwards to adjust the position away from the horizontal position, a relatively long stand upright 20 is necessary.
但是，平衡臂燈在許多情況下，並不需要垂直向上抬起以調 整位置，例如，裝設於牆壁面比較高的位置的平衡臂燈，不需要再向上調整位置。對於不需要由水平位置垂直向上抬高，以調整位置的平衡臂燈，可以忽略上述對於拉索長度動態調節機構直角△ABC的∠A由0到π/4的區間，關於拉索張力系統的變化情形的討論。只需要專注於第3圖中，當θ由θ=0向下轉動至θ=π/2的區間即可，亦即只需要關注拉索長度動態調節機構直角△ABC的∠A由π/4到π/2的區間。However, in many cases, the balance arm light does not need to be lifted vertically upwards to adjust The entire position, for example, the balance arm lamp installed at a relatively high wall position, does not need to be adjusted upwards. For a balance arm lamp that does not need to be vertically raised upward from the horizontal position to adjust the position, it can be ignored that the ∠A of the right angle ΔABC of the cable length dynamic adjustment mechanism is from 0 to π/4, regarding the cable tension system. Discussion of the change situation. Only need to focus on the third picture, when θ is rotated downward from θ=0 to the interval of θ=π/2, that is, only need to pay attention to the cable length dynamic adjustment mechanism 直A of the right angle ΔABC from π/4 To the interval of π/2.
根據第3圖的解析，當拉索張力系統對平衡臂1的施力位置點D至水平轉軸X的距離長度XD，等於拉索長度動態調節機構直角△ABC外接圓半徑的2.4倍，則當平衡臂1離開水平位置，向下轉動至垂直位置時，亦即當θ由θ=0轉動至θ=π/2時，金屬圓線彈簧S被拉伸的長度不會增加。這表示，金屬圓線彈簧S只要具備足夠的張力即可，不需要考慮金屬圓線彈簧S變形空間的問題，也就是設計金屬圓線彈簧S時，不需要設置較大的變形空間，可以設計成較短的形狀。According to the analysis of FIG. 3, when the distance XD of the cable tensioning system to the biasing arm 1 from the point D to the horizontal axis X is equal to 2.4 times the radius of the circumscribed circle of the right angle ΔABC of the cable length adjusting mechanism, When the balance arm 1 is away from the horizontal position and is rotated downward to the vertical position, that is, when θ is rotated by θ = 0 to θ = π/2, the length at which the metal bobbin spring S is stretched does not increase. This means that the metal round wire spring S only needs to have sufficient tension, and does not need to consider the problem of the deformation space of the metal round wire spring S, that is, when designing the metal round wire spring S, it is not necessary to provide a large deformation space, and can be designed. In a shorter shape.
又，上述水平轉軸X，設置有能調整摩擦力的設施，是此技術領域技術人員所熟知，因此圖中未示。Further, the horizontal rotating shaft X is provided with a facility capable of adjusting the frictional force, and is well known to those skilled in the art, and thus is not shown.
根據上述討論，第6圖是本發明另一個應用例說明圖。第6圖中平衡臂1的轉動機構具有一檔體機構K，使平衡臂1最高只能抬高至水平高度，平衡臂1只能從水平位置垂直向下轉動，不能向上抬高。拉索張力系統對平衡臂1的施力位置點D至水平轉軸X的距離長度XD，等於拉索長度動態調節機構直角△ABC外接圓半徑的2.4倍，金屬圓線彈簧S在θ=0向下轉動至θ=π/2的區間中，實際上不會被拉長，因此，設計金屬圓線彈簧S時，幾乎不需要考慮變形空間。Based on the above discussion, Fig. 6 is an explanatory view of another application example of the present invention. In Fig. 6, the rotating mechanism of the balance arm 1 has a gear mechanism K, so that the balance arm 1 can only be raised up to the horizontal height, and the balance arm 1 can only be rotated vertically downward from the horizontal position and cannot be raised upward. The distance XD of the tensioning system of the balance arm 1 to the horizontal rotation axis X is equal to 2.4 times the radius of the circumscribed circle of the right angle ΔABC of the cable length dynamic adjustment mechanism, and the metal round wire spring S is at the θ=0 direction. When the lower portion is rotated to the range of θ = π/2, it is not actually elongated. Therefore, when designing the metal round wire spring S, it is almost unnecessary to consider the deformation space.
第6圖所示的平衡臂燈，基本上與第4圖相同，圓柱形支架40取代了平衡臂支架2，圓柱形支架40與基座3是一體結構，基座3固定於垂直的牆面上，金屬圓線彈簧S具有圓柱形外套41，金屬圓線彈簧S的一端固定於圓柱形外套41的底部，金屬圓線彈簧S的另一端與拉索T連結；圓柱形支架40具有一垂直中空內腔，金屬圓線彈簧S的圓柱形外套41能在圓柱形支架40的垂直中空內腔中作水平轉動，圓柱形支架40與基座3是一體結構，基座3固定於垂直的牆面上，使圓柱形支架40的垂直中空內 腔能保持垂直，以確保平衡臂1在水平位置時，直角△ABC的弦邊垂直于拉索長度動態調節機構的活動臂106，直角△ABC為等腰直角三角形狀態。The balance arm lamp shown in Fig. 6 is basically the same as Fig. 4, and the cylindrical bracket 40 replaces the balance arm bracket 2, and the cylindrical bracket 40 and the base 3 are integrally formed, and the base 3 is fixed to the vertical wall surface. The metal round wire spring S has a cylindrical outer casing 41. One end of the metal round wire spring S is fixed to the bottom of the cylindrical outer casing 41, and the other end of the metal round wire spring S is coupled with the cable T; the cylindrical bracket 40 has a vertical The hollow inner cavity, the cylindrical outer casing 41 of the metal round wire spring S can be horizontally rotated in the vertical hollow inner cavity of the cylindrical bracket 40. The cylindrical bracket 40 and the base 3 are integrally formed, and the base 3 is fixed to the vertical wall. On the face, the vertical cavity of the cylindrical bracket 40 is made The cavity can be kept vertical to ensure that the balance arm 1 is in the horizontal position, the chord of the right angle ΔABC is perpendicular to the movable arm 106 of the cable length dynamic adjustment mechanism, and the right angle ΔABC is an isosceles right triangle state.
綜合上述說明，本發明技術方案的主要特徵，包括：基於直角△ABC兩股和a+b=2√2 R．sin(A+π/4)函數式所建構的被動式拉索張力系統，所述拉索張力系統對平衡臂1的施力位置點D至平衡臂1的水平轉軸X的距離長度XD，等於拉索長度動態調節機構直角△ABC外接圓半徑的2.4倍。當利用上述技術特徵的平衡臂燈的燈臂在低於水平面高度的垂直空間中，垂直向下轉動時，燈臂受到的拉索張力系統的張力，不會像傳統被動式平衡臂燈一樣，呈現金屬彈簧反而被拉伸，張力反而增大的背道而馳的現象；拉索張力系統對平衡臂1的施力位置點至水平轉軸的距離長度，等於拉索長度動態調節機構直角△ABC外接圓半徑的2.4倍，則能發揮最大的平衡力矩效果。Based on the above description, the main features of the technical solution of the present invention include: based on right angle ΔABC two shares and a+b=2√2 R. A passive cable tension system constructed by the sin(A+π/4) function, the distance XD of the cable tensioning system from the point D of the balancing arm 1 to the horizontal axis X of the balancing arm 1 is equal to the pulling The cable length dynamic adjustment mechanism has a right angle ΔABC circumscribed circle radius of 2.4 times. When the lamp arm of the balance arm lamp utilizing the above technical features rotates vertically downward in a vertical space lower than the horizontal height, the tension of the cable tension system received by the lamp arm does not appear like a conventional passive balance arm lamp. The metal spring is instead stretched, and the tension is increased by the opposite phenomenon; the length of the tensioning system of the balance arm 1 to the horizontal axis is equal to the cable length dynamic adjustment mechanism, the right angle ΔABC circumscribed circle radius 2.4 times, it can exert the maximum balance torque effect.
實際應用時，燈臂的垂直運動角度，如果是能抬高至高過水平位置，則金屬圓線彈簧S需要比較大的變形空間，如果燈臂只能抬高至水平高度，則金屬圓線彈簧S完全不需要增加變形空間。會產生這樣不同的特徵變化，是因為直角△ABC拉索長度動態調節機構可以看成一個拉索預存機構，在∠A由0→π/4時，把拉索加速預存起來，在∠A由π/4時→π/2時，再釋放出來的緣故。In practical application, if the vertical movement angle of the lamp arm can be raised to a level higher than the horizontal position, the metal round wire spring S needs a relatively large deformation space, and if the lamp arm can only be raised to a horizontal level, the metal round wire spring S does not need to increase the deformation space at all. This kind of different feature change will occur because the right angle ΔABC cable length dynamic adjustment mechanism can be regarded as a cable pre-existing mechanism. When ∠A is 0→π/4, the cable acceleration is pre-stored. When π/4 → π/2, it is released again.
本發明對基於直角△ABC兩股和a+b=2√2 R．sin(A+π/4)函數式所建構的被動式拉索張力系統，對平衡臂燈平衡臂的施力點位置，進行的最佳化配置，使本發明基於正弦定律的拉索張力系統能發揮最大效益。The invention is based on two angles of right angle ΔABC and a+b=2√2 R. The passive cable tension system constructed by the sin(A+π/4) function formula optimizes the position of the force application point of the balance arm lamp balance arm, so that the cable tension system based on the sinusoidal law of the present invention can Give the most benefit.
1‧‧‧平衡臂1‧‧‧Balance arm
2‧‧‧平衡臂支架2‧‧‧Balance arm bracket
3‧‧‧基座3‧‧‧Base
A、B‧‧‧直角三角形兩銳角頂點A, B‧‧‧ right angle triangle two acute angle vertices
C‧‧‧直角三角形直角頂點C‧‧‧ right angle triangle right angle vertex
T‧‧‧拉索T‧‧ Lasso
S‧‧‧金屬圓線彈簧S‧‧‧metal round spring
D‧‧‧施力位置點D‧‧‧ exertion point
R‧‧‧外接圓半徑R‧‧‧ circumscribed radius
20‧‧‧支架立桿20‧‧‧Support pole
21‧‧‧立桿垂直轉軸21‧‧‧ Vertical vertical axis
22‧‧‧固定設施22‧‧‧Fixed facilities
X‧‧‧水平轉軸X‧‧‧ horizontal axis
Claims (5)
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| TW102119325A TWI512234B (en) | 2013-05-31 | 2013-05-31 | Balance arm lights |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| TW102119325A TWI512234B (en) | 2013-05-31 | 2013-05-31 | Balance arm lights |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| TW201445078A TW201445078A (en) | 2014-12-01 |
| TWI512234B true TWI512234B (en) | 2015-12-11 |
Family
ID=52706973
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| TW102119325A TWI512234B (en) | 2013-05-31 | 2013-05-31 | Balance arm lights |
Country Status (1)
| Country | Link |
|---|---|
| TW (1) | TWI512234B (en) |
Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| DE20105914U1 (en) * | 2001-04-04 | 2001-06-28 | Maurer Ingo | LAMP |
| CN1100232C (en) * | 1999-01-29 | 2003-01-29 | 林锦恒 | Ajustable lamp fixtures |
| US20080210842A1 (en) * | 2005-09-20 | 2008-09-04 | Technische Universiteit Delft | Balancing device |
| TWI307753B (en) * | 2006-04-14 | 2009-03-21 |
-
2013
- 2013-05-31 TW TW102119325A patent/TWI512234B/en not_active IP Right Cessation
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1100232C (en) * | 1999-01-29 | 2003-01-29 | 林锦恒 | Ajustable lamp fixtures |
| DE20105914U1 (en) * | 2001-04-04 | 2001-06-28 | Maurer Ingo | LAMP |
| US20080210842A1 (en) * | 2005-09-20 | 2008-09-04 | Technische Universiteit Delft | Balancing device |
| TWI307753B (en) * | 2006-04-14 | 2009-03-21 |
Also Published As
| Publication number | Publication date |
|---|---|
| TW201445078A (en) | 2014-12-01 |
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Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| MM4A | Annulment or lapse of patent due to non-payment of fees |