JPS60201139A - Flywheel - Google Patents
FlywheelInfo
- Publication number
- JPS60201139A JPS60201139A JP59058699A JP5869984A JPS60201139A JP S60201139 A JPS60201139 A JP S60201139A JP 59058699 A JP59058699 A JP 59058699A JP 5869984 A JP5869984 A JP 5869984A JP S60201139 A JPS60201139 A JP S60201139A
- Authority
- JP
- Japan
- Prior art keywords
- flywheel
- fiber
- circumferential direction
- radial direction
- density
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Pending
Links
- 239000000835 fiber Substances 0.000 claims abstract description 30
- 239000011347 resin Substances 0.000 claims abstract description 22
- 229920005989 resin Polymers 0.000 claims abstract description 22
- 239000011159 matrix material Substances 0.000 claims abstract description 4
- 239000000843 powder Substances 0.000 claims abstract description 4
- 239000002184 metal Substances 0.000 claims abstract 3
- 238000009826 distribution Methods 0.000 claims description 18
- 239000000463 material Substances 0.000 description 12
- 238000004146 energy storage Methods 0.000 description 11
- 238000000034 method Methods 0.000 description 7
- 238000010586 diagram Methods 0.000 description 6
- 230000000694 effects Effects 0.000 description 3
- 229920000049 Carbon (fiber) Polymers 0.000 description 2
- 239000004917 carbon fiber Substances 0.000 description 2
- 239000004744 fabric Substances 0.000 description 2
- 239000003365 glass fiber Substances 0.000 description 2
- 238000004519 manufacturing process Methods 0.000 description 2
- 230000002093 peripheral effect Effects 0.000 description 2
- 229910001111 Fine metal Inorganic materials 0.000 description 1
- 229910000831 Steel Inorganic materials 0.000 description 1
- 239000003795 chemical substances by application Substances 0.000 description 1
- 238000010276 construction Methods 0.000 description 1
- 230000006378 damage Effects 0.000 description 1
- 230000001419 dependent effect Effects 0.000 description 1
- 238000011156 evaluation Methods 0.000 description 1
- VNWKTOKETHGBQD-UHFFFAOYSA-N methane Chemical compound C VNWKTOKETHGBQD-UHFFFAOYSA-N 0.000 description 1
- 238000000465 moulding Methods 0.000 description 1
- 239000010959 steel Substances 0.000 description 1
Classifications
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
- F16F15/00—Suppression of vibrations in systems; Means or arrangements for avoiding or reducing out-of-balance forces, e.g. due to motion
- F16F15/30—Flywheels
- F16F15/305—Flywheels made of plastics, e.g. fibre reinforced plastics [FRP], i.e. characterised by their special construction from such materials
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16C—SHAFTS; FLEXIBLE SHAFTS; ELEMENTS OR CRANKSHAFT MECHANISMS; ROTARY BODIES OTHER THAN GEARING ELEMENTS; BEARINGS
- F16C15/00—Construction of rotary bodies to resist centrifugal force
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16C—SHAFTS; FLEXIBLE SHAFTS; ELEMENTS OR CRANKSHAFT MECHANISMS; ROTARY BODIES OTHER THAN GEARING ELEMENTS; BEARINGS
- F16C2361/00—Apparatus or articles in engineering in general
- F16C2361/55—Flywheel systems
Landscapes
- Engineering & Computer Science (AREA)
- General Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- Physics & Mathematics (AREA)
- Acoustics & Sound (AREA)
- Aviation & Aerospace Engineering (AREA)
- Moulding By Coating Moulds (AREA)
Abstract
Description
【発明の詳細な説明】
〔発明の利用分野〕
本発明は蓄エネルギ用フライホイールに関するものであ
る。DETAILED DESCRIPTION OF THE INVENTION [Field of Application of the Invention] The present invention relates to an energy storage flywheel.
フライホイールをエネルギ貯蔵体として利用する場合、
フライホイールの最高回転外周速度で決まる餐エイ、ル
ギ密度の大小が重要なポイントになる。フライホイール
の蓄エネルギ密度は、構成材料およびその形状によシ大
きく左右される゛。When using the flywheel as an energy storage device,
The important point is the size of the flywheel density, which is determined by the flywheel's maximum rotational peripheral speed. The energy storage density of a flywheel is highly dependent on the materials of construction and its shape.
材料に関しては、その比強度（強度／密度）が大きいほ
ど、フライホイールの蓄エネルギ密度を大きくとれる。Regarding the material, the greater the specific strength (strength/density) of the material, the greater the energy storage density of the flywheel.
最近の高引張強度を有する繊維（炭素繊維、ガラス繊維
等々）を含有する繊維強化樹脂の繊維方向の比強度は、
高張力鋼の比強度に比べて数倍大きい。しかし、繊維強
化樹脂は、繊維と直角方向の比強度が、繊維方向の比強
度に比べて、２桁以上小さい欠点を有している。この強
度の異方性が、繊維強化樹脂製フライホイールの開発を
大きく阻害している。The specific strength in the fiber direction of recent fiber-reinforced resins containing fibers with high tensile strength (carbon fibers, glass fibers, etc.) is
It is several times greater than the specific strength of high-strength steel. However, fiber-reinforced resins have a drawback that the specific strength in the direction perpendicular to the fibers is two or more orders of magnitude smaller than the specific strength in the fiber direction. This strength anisotropy greatly hinders the development of fiber-reinforced resin flywheels.
形状に関しては、繊維強化樹脂の繊維方向の絶大な比強
度を有効に利用したものがいくつかある。Regarding the shape, there are several shapes that effectively utilize the tremendous specific strength of fiber-reinforced resin in the fiber direction.
それらのいくつかを第１図から第４図に示す。周方向に
繊維を配向したリング状の繊維強化樹脂を利用したもの
が、第１図のリング１．第３図および第４図のリング１
１，１２．１３である。第２図の複数本（図では３本）
のバー２は、長手方向に繊維を配向したものである。第
１図および第２図でのフライホイールは、それぞれ、リ
ング１の肉径を薄くすること、バー２の幅を小さくする
ことにより、繊維と直角方向に発生する応力を小さくし
ている。第３図および第４図のフライホイールは、いわ
ば第１図のフライホイールを同心円状に多重化したもの
であシ、ラバー状低剛性体リング３１，３２．３３を繊
維強化樹脂リング間に内在させている。これらラバーリ
ングの柔軟性によシ、半径方向の束縛を緩和し、半径方
向すなわち繊維と直角方向の応力を小さくしている。な
お、４は回転軸である。Some of them are shown in FIGS. 1 to 4. Ring 1 in Fig. 1 uses a ring-shaped fiber-reinforced resin with fibers oriented in the circumferential direction. Ring 1 in Figures 3 and 4
1, 12.13. Multiple pieces in Figure 2 (three pieces in the figure)
The bar 2 has fibers oriented in the longitudinal direction. In the flywheels shown in FIGS. 1 and 2, the stress generated in the direction perpendicular to the fibers is reduced by reducing the wall diameter of the ring 1 and the width of the bar 2, respectively. The flywheels shown in FIGS. 3 and 4 are, so to speak, the flywheels shown in FIG. I'm letting you do it. The flexibility of these rubber rings relieves radial constraints and reduces stress in the radial direction, ie, in the direction perpendicular to the fibers. Note that 4 is a rotation axis.
第３図および第４図のフライホイールは、形状は同じで
あるが、繊維強化樹脂の構成の仕方が異なる。第３図の
フライホイールでは、それぞれのリングの半径方向の密
度および弾性率は一様である。一方、第４図のフライホ
イールでは、それぞれのリングの半径方向の密度および
弾性率を式（１）のように変えておシ、半径方向に発生
する応力を完全に零にしている。The flywheels in FIGS. 3 and 4 have the same shape, but differ in the way the fiber-reinforced resin is constructed. In the flywheel of FIG. 3, the radial density and elastic modulus of each ring are uniform. On the other hand, in the flywheel shown in FIG. 4, the radial density and elastic modulus of each ring are changed as shown in equation (1), so that the stress generated in the radial direction is completely zero.
ここに、γ：半径座標
Ｅθ（ｒ）二層方向縦弾性率
ρ（ｒ）：密度
シθ：周方向ボアシソン比
ｒ２ ：各リングの外半径
以上述べた４種類のフライホイールの性能を第５図に定
量的に示す。これを見る限りでは、第４図のフライホイ
ールが、重量エネルギ密度および体積エネルギ密度とも
に優れた特性を有していることがわかる。しかし、第４
図の７ライホイールでは、ラバー状低剛性体３１，３２
．３３を使っていることで、新たな問題が発生している
。Here, γ: radial coordinate Eθ(r), longitudinal modulus of elasticity in the two-layer direction, ρ(r): density, θ: Boisison ratio in the circumferential direction, r2: outer radius of each ring. Quantitatively shown in the figure. From this, it can be seen that the flywheel shown in FIG. 4 has excellent characteristics in both gravimetric energy density and volumetric energy density. However, the fourth
In the 7 Rye wheel shown in the figure, the rubber-like low-rigidity bodies 31, 32
．． Using 33 has caused a new problem.
その問題は、ラバーリングの周方向強度が小さいため、
繊維強化樹脂よりも先に破壊することである。また、ラ
バーリングが破壊しないほどの低い回転数の回転状態に
おいても、ラバーの変形が比較的太きいため、回転体の
バランスが崩れ、回転振動の発生を招く。従って、この
問題を考慮すると、第３図および第４図のフライホイー
ルの蓄エネルギ密度は、第５図に示されているものに比
べて、実質的には数分の−になる。The problem is that the circumferential strength of the rubber ring is small.
The goal is to destroy it before the fiber-reinforced resin. Further, even when the rubber ring is rotated at a low rotational speed such that the rubber ring does not break, the deformation of the rubber is relatively large, causing the rotating body to become unbalanced and causing rotational vibration. Therefore, taking this issue into consideration, the energy storage density of the flywheels of FIGS. 3 and 4 is substantially a fraction of that shown in FIG. 5.
第４図において、ラバーリング３１，３２゜３３を設け
ないで、Ｅθ／ρを式（１）のごとく半径方向に変えて
いく手段が残されているかに考えらＥθ／ρ値は、外周
に比べて内周の部分を３桁〜４桁程小さくしなければな
らない。このとき、周方向の強度も、外周から内周にか
けて、発生応力以上に強く変化するため、効率的な構造
とはいえない。In Fig. 4, considering that there is a way to change Eθ/ρ in the radial direction as shown in equation (1) without providing the rubber rings 31, 32 and 33, the Eθ/ρ value is In comparison, the inner circumferential portion must be made three to four orders of magnitude smaller. At this time, the strength in the circumferential direction also changes more strongly than the generated stress from the outer circumference to the inner circumference, so it cannot be said to be an efficient structure.
本発明の目的は、重量エネルギ密度および体積エネルギ
密度ともに優れたフライホイールヲ提供することにある
。An object of the present invention is to provide a flywheel that is excellent in both gravimetric energy density and volumetric energy density.
第４図のフライホイールは、各リングの半径方向応力を
完全に零にするという思想の下に、各リングのＥθ／ρ
を半径方向にそって、式（１）のごとく強く変化させて
いる。このため、ラバーリングを数本同心円状に内在さ
せ、Ｅθ／ρの変化を緩和し、フライホイールとしての
構造の効率化をねらっている。The flywheel shown in Fig. 4 is based on the idea that the radial stress in each ring is completely zero, and the Eθ/ρ of each ring is
is strongly changed along the radial direction as shown in equation (1). For this reason, several rubber rings are provided in concentric circles to alleviate the change in Eθ/ρ and to improve the efficiency of the structure as a flywheel.
従って、ラバーリングの問題を解消するには、式（１）
で示されろＥａ／ρの強い変化を緩和する必要がある。Therefore, to solve the rubber ring problem, Equation (1)
It is necessary to alleviate the strong change in Ea/ρ, as shown by .
また、効率的な構造とするために、周方向に発生する応
力と密度の比、即ち比応力を一様にする構造である方が
良い。これらの条件を満足するＥｚ／ρの半径方向の分
布式は以下に示す式（２）のようになる。Furthermore, in order to have an efficient structure, it is better to have a structure that makes the ratio of stress and density, that is, the specific stress, generated in the circumferential direction uniform. The radial distribution equation of Ez/ρ that satisfies these conditions is as shown in equation (2) below.
ここに、ξ＝−
２
ｒ２：外半径
Ｑ ＝１＋λ＋λ２
λ ＝内径／外径
シミ二〇方向のポアッソン比
Ｅ、（ｒ）：半径方向縦弾性率
し
３ｕ２＋ｂ
Ｅａ／ρが式（２）の分布に従うときのその分布状況を
第６図に示す。また、このときの周方向および半径方向
の応力と密度の比、即ち比応力の分布を第７図に示す。Here, ξ=-2 r2: Outer radius Q = 1 + λ + λ2 λ = Poisson's ratio E in the inner diameter/outer diameter stain 20 direction, (r): radial longitudinal elastic modulus, 3u2 + b Ea/ρ is the distribution of equation (2) Figure 6 shows the distribution situation when the following is applied. Further, the ratio of the stress to the density in the circumferential direction and the radial direction at this time, that is, the distribution of the specific stress is shown in FIG.
第６図には比較のために、式（１）によるＥθ／ρ分布
を示しである。第７図において、σθ、σ。For comparison, FIG. 6 shows the Eθ/ρ distribution according to equation (1). In FIG. 7, σθ, σ.
はそれぞれ周方向および半径方向の応力を表わし、ρは
密度を表わす。また■２は回転の最大限界外周速度を表
わす。represent the circumferential and radial stress, respectively, and ρ represents the density. Also, ■2 represents the maximum limit outer circumferential speed of rotation.
周方向に発生する比応力を一様にしたことが、この発明
のポイントである。実際上は、Ｅθ／ρの分布は、厳密
に式（２）に従う必要性はなく、この分布にほぼ準する
分布、例えば階段上の分布でも、蓄エネルギ密度は同様
に向上させ得る。The key point of this invention is to make the specific stress generated in the circumferential direction uniform. In reality, the distribution of Eθ/ρ does not need to strictly follow equation (2), and the energy storage density can be similarly improved with a distribution that is approximately similar to this distribution, for example, a staircase distribution.
ここで、比弾性率Ｅθ／ρが式（２）に従うときの蓄エ
ネルギ密度、とシわけ重量エネルギ密度を評価しておく
。一般に、重量エネルギ密度ｅ、は用いる材料の最大比
強度（−／ρＬａｇに比例するので、式（３）のように
表現できる。Here, the energy storage density and the weight energy density when the specific elastic modulus Eθ/ρ follows equation (2) will be evaluated. Generally, the weight energy density e is proportional to the maximum specific strength (-/ρLag) of the material used, so it can be expressed as in equation (3).
ｅ 、 ＝＝Ｋ （−） ａｍ Ｘ ”’ ”・（３）
ρ
ここに、σ傘＝σ−十〇１＃＊
σ、＊二半後半径方向引張
強度＊：周方向引張強度
ρ ：密度
式（３）で示される比例定数にの大小によって、重量エ
ネルギ密度の相対的評価が可能である。本発明によるフ
ライホイールの場合の比例定数にと、−個のリングに関
する内径外径比λとの関係を第８図に示す。比較のため
に、第４図のフライホイールのものも示しておく。但し
、第８図に示した第４図のフライホイールの定数には、
第５図と同様、ラバーリング３１，３２．３３の破壊が
なく、変形による回転体の振動の発生もなく安定に回転
できるという理想論での結果である。従って実際的には
、本発明によるフライホイールは、第４図に示したフラ
イホイールに比べて数倍の蓄エネルギ密度を確保するこ
とが可能である。e, ==K (-) am X "'"・(3)
ρ Here, σ umbrella = σ − 101#* σ, *2-half radial tensile strength*: Circumferential tensile strength ρ: Depending on the magnitude of the proportionality constant shown by density formula (3), the weight energy density It is possible to make a relative evaluation of FIG. 8 shows the relationship between the proportionality constant for the flywheel according to the present invention and the inner/outer diameter ratio λ for - rings. For comparison, the flywheel shown in Figure 4 is also shown. However, the constant of the flywheel shown in Fig. 4 shown in Fig. 8 is as follows.
Similar to FIG. 5, this is an idealistic result that there is no destruction of the rubber rings 31, 32, 33, and that the rotary body can rotate stably without any vibrations caused by deformation. In practice, therefore, the flywheel according to the invention can ensure an energy storage density several times that of the flywheel shown in FIG.
ここで、第８図に示した本発明のフライホイールにおけ
る定数にと内外径比λとの関係の理論的根拠を明らかに
しておく。Here, the theoretical basis of the relationship between the constant and the inner/outer diameter ratio λ in the flywheel of the present invention shown in FIG. 8 will be clarified.
ｆｆｉ量エネルギ密度ｅ、は一般に次のように表わされ
る。The ffi quantity energy density e is generally expressed as follows.
ψ −１（ξ）ρ（ξ）
ここに、ｔ（ξ）は板の厚み、ρ（のけ密度、ｖ２は許
容外周速度、λは内径外径比を表わす。周方向及び半径
方向の応力をそれぞれσθ、σ、とし、ここで、ａ ｅ
＝ρｖｚＩＩｓａ、 ａ、＝ｐｖ２”Ｓｒとおけば、Ｓ
θ７８１は以下のように表わせる。ψ −1 (ξ) ρ (ξ) Here, t (ξ) is the thickness of the plate, ρ (sheath density, v2 is the allowable peripheral speed, and λ is the inner diameter outer diameter ratio. Stress in the circumferential and radial directions are σθ and σ, respectively, where a e
=ρvzIIsa, a, = pv2”Sr, then S
θ781 can be expressed as follows.
・・・・・・（６）
式（６）よシ、Ｓｒの最大値ＳｙＩｌＩｍｇをめると１
となる。Ｓθは一定なので、Ｓθの最大値Ｓｅ４工はも
ちろん式（５）そのものである。回転体の破壊は、周方
向および半径方向で同時に起きた方が効率的である。そ
こで、周方向強度をσθ−半径方向強度のＳｒが最大に
なるξにおける値をσ、＊とおくとなる。式（５）、
（７）、 （ｓ）よシまた、式（４）、（８）よシ
式（３）、 （５）、 （９）、 Ｃｌ０）よシれはψ
＝１のときの値である。密度ρの変化が小さい限９、Ｋ
は式圓に示される上限に近づくことができる。・・・・・・(6) According to equation (6), if we add the maximum value of Sr SyIlImg, we get 1
becomes. Since Sθ is constant, the maximum value Se4 of Sθ is of course the same as equation (5). It is more efficient for the rotating body to be destroyed simultaneously in the circumferential and radial directions. Therefore, the value at ξ where the circumferential strength is σθ−radial strength Sr is maximum is set as σ, *. Formula (5),
(7), (s) and equations (4), (8) and equations (3), (5), (9), Cl0) are ψ
This is the value when =1. Limit 9, K where the change in density ρ is small
can approach the upper limit shown in the equation circle.
第９図のごとくフライホイールを成形する場合、半径方
向の強度を向上させるには、繊維が半径方向にも配列し
た繊維強化樹脂を使う必要がある。When molding a flywheel as shown in FIG. 9, in order to improve the strength in the radial direction, it is necessary to use a fiber-reinforced resin in which fibers are also arranged in the radial direction.
−例として、第１０図に示すような積層板方式が考えら
れる。繊維が周方向に配列された円板状の繊維強化樹脂
製プリプレグ材５１、および繊維が半径方向に放射状に
配列された円板状の繊維強化樹脂製プリプレグ材５２を
ｊ−次積層してゆく。- As an example, a laminated plate system as shown in FIG. 10 can be considered. A disc-shaped fiber-reinforced resin prepreg material 51 in which fibers are arranged in the circumferential direction and a disc-shaped fiber-reinforced resin prepreg material 52 in which fibers are arranged radially in the radial direction are laminated in the j-th order. .
それぞれのプリプレグ材は、半硬化状態に成形され、最
後に積層板としてプレス加工して、１個の７ライホイー
ルを作り出す。Each prepreg material is molded into a semi-cured state and finally pressed into a laminate to create one 7-lie wheel.
ここで、周方向の比弾性率Ｅθ／ρを式（２）に示すご
とく変えていく方法としては、いろいろの方法がある。Here, there are various methods for changing the specific elastic modulus Eθ/ρ in the circumferential direction as shown in equation (2).
まず、周方向の縦弾性率Ｅθを半径方向に変えていく手
段として、周方向あるいは半径方向の繊維の含有率を半
径方向に変えていく方法がある。密度を半径方向に変え
ていく手段としては、繊維強化樹脂を形成する母体に金
属の微粉を混入し、その混入の度合を変えていく方法が
ある。First, as a means of changing the longitudinal elastic modulus Eθ in the circumferential direction in the radial direction, there is a method of changing the fiber content in the circumferential direction or the radial direction in the radial direction. As a means of changing the density in the radial direction, there is a method of mixing fine metal powder into the matrix forming the fiber-reinforced resin and changing the degree of mixing.
繊維含有率を具体的にどのように変えていけば良いかに
ついて、２つの計算例を示す。但し、本発明は、これら
の例に限定されるものではない。Two calculation examples will be shown to show how to specifically change the fiber content. However, the present invention is not limited to these examples.
第一の例と１．て、Ｖｔθ＝ ０．７ 。First example and 1. Therefore, Vtθ=0.7.
Ｖ ｔ −＝０．２６・（０，１ｒ／ｒｚ ）と・した
ものである。ここに、Ｖ１θは、一枚のプリプレグ材５
１における周方向に配列された繊維の含有率を表わし、
Ｖ ｌｒは、一枚のプリプレグ材５２における半径方向
に配列された繊維の含有率を表わす。この例では、プリ
プレグ材５１．５２の数の比率は１：１である。ｉた、
リングの内径外径比はこの場合０．１とした。第１２図
に、Ｖｔθ、Ｖ、、の分布を示し、第１３図にこのとき
の密度ρの分布を示す。V t −=0.26·(0,1r/rz). Here, V1θ is one prepreg material 5
represents the content of fibers arranged in the circumferential direction in 1,
Vlr represents the content rate of fibers arranged in the radial direction in one sheet of prepreg material 52. In this example, the ratio of the number of prepreg materials 51 and 52 is 1:1. It was,
The inner/outer diameter ratio of the ring was set to 0.1 in this case. FIG. 12 shows the distribution of Vtθ, V, , and FIG. 13 shows the distribution of the density ρ at this time.
ｖｆθＨＶ１ｒ）ρの分布はそれぞれ最大値と最小値の
起伏が小さく、充分に実現可能である。The distribution of vfθHV1r)ρ has small ups and downs in the maximum value and minimum value, and is fully achievable.
第二の例として、Ｖｔθ＝０．７．Ｖｔ、＝ｏ、５ｃｔ
ｅ（０−１’／ ”ｚ ） トＬ、７’）７’Ｌ＃材
５□。As a second example, Vtθ=0.7. Vt, = o, 5ct
e(0-1'/"z) L, 7') 7'L# material 5□.
５２の数の比率は１．２：１にし、リングの内径外径比
はこの場合も０．１とした。このときの、Ｖｆθ。The ratio of the number 52 was set to 1.2:1, and the ratio of the inner diameter to the outer diameter of the ring was also set to 0.1 in this case. At this time, Vfθ.
Ｖ ｔ ｒの分布およびρの分布をそれぞれ第１４図お
よび第１５図に示す。この場合も、第一の例と同様、充
分に実現可能である。The distribution of V tr and the distribution of ρ are shown in FIGS. 14 and 15, respectively. This case is also fully achievable as in the first example.
この実施例における効果は、蓄エネルギ密度の向上はも
ちろんのこと、回転中にフライホイールの変形が少ない
ため、安定回転が可能なことである。また、積層板方式
であるために量産性に優れておシ、低コストのフライホ
イールを提供できる。The effects of this embodiment include not only an improvement in energy storage density but also stable rotation because the flywheel is less deformed during rotation. In addition, since it is a laminated plate method, it is excellent in mass production and can provide a low-cost flywheel.
周方向および半径方向に繊維が配列したフライホイール
を形成する別の実施例として、第１１図に示す円形らせ
ん巻のクロス５３を用いた積層板で実施できる。この場
合の繊維含有率の分布状況は、第１０図で示した実施例
と同様でおる。この実施例では、初めから最終状態の繊
維強化樹脂を成形加工ができるため、積層間の接着性は
第１０図のプレス加工に比べ強靭である効果をもつ。Another embodiment of forming a flywheel with fibers arranged in the circumferential and radial directions can be implemented with a laminate using a circular spiral wound cloth 53 as shown in FIG. The fiber content distribution in this case is similar to the example shown in FIG. In this embodiment, since the fiber-reinforced resin in its final state can be molded from the beginning, the adhesiveness between the laminated layers is stronger than that in the press process shown in FIG. 10.
また周方向の比弾性率を変える別の手段として、繊維強
化樹脂中の繊維に関して、繊維の弾性率の異なる複数種
の繊維を使い、半径方向にそれらの混入比率を変えてい
く方法もある。高エネルギ密度を確保するためには、一
般に炭素繊維が使われるが、この方法を用いると、比較
的安価なガラス繊維等の使用が可能なため、フライホイ
ールの製造コストが低く抑えられる効果がある。Another method for changing the specific elastic modulus in the circumferential direction is to use multiple types of fibers with different elastic moduli in the fiber-reinforced resin and change their mixing ratio in the radial direction. Carbon fiber is generally used to ensure high energy density, but this method allows the use of relatively inexpensive materials such as glass fiber, which has the effect of keeping flywheel manufacturing costs low. .
本発明によれば、蓄エネルギ用フライホイールにおいて
、重量エネルギ密度を理論的限界近辺に高くとれるフラ
イホイールが得られる。また、フライホイールの内径外
径比を小さくする、即ち肉径を大きくできるから、体積
エネルギ密度も理論限界近辺に高くとれるフライホイー
ルが得られる。According to the present invention, it is possible to obtain a flywheel for energy storage in which the weight energy density can be kept high near the theoretical limit. In addition, since the inner diameter outer diameter ratio of the flywheel can be reduced, that is, the wall diameter can be increased, a flywheel can be obtained that has a high volumetric energy density close to the theoretical limit.
第１図から第４図は主要な従来例を示す概略図、第５図
はこれら従来例の蓄エネルギ密度の比較図、第６図はに
＝Ｂ ａ／Ｅ、＝２の比弾性率Ｅａ／ρについて半径ｒ
方向の分布を従来例とともに示す分布図、第７図は本発
明によるフライホイールの周方向および半径方向の比応
力分布σ０／ρ。
σ、／ρを示す図、第８図は本発明によるフライホイー
ルの重量エネルギ密度の大小を表わす比例定数にと内径
外径比との関係を示す図、第９図は本発明によるフライ
ホイールの一実施例の外観を示す斜視図、第１０図およ
び第１１図は本発明によるフライホイールにおける積層
プリプレグおよび積層クロスの繊維配列の実施例を示す
斜視図、第１２図および第１３図は第１０図および第１
１図の実施例における具体的な繊維含有率および密度分
布のひとつの実施例を示す図、第１４図および第１５図
はその第２の具体的実施例を示す図である。
１．１１，１２，１３．１４・・・リング、２・・・パ
ー３１．３２．３３・・・ラバー状低剛性体リング、４
・・・回転軸、
５１・・・周方向繊維配向プリプレグ、５２・・・半径
方向繊維配向グリプレグ、５３・・・円形らせん巻のク
ロス。
代理人 弁理士 鵜沼辰之
率１図 も２図
宅３図 ｆ］ｔ４−図
も５図
コうイ爪イー１しの押＠（ｑ＋図〜名牟口外り瞬）千６
図
「
山′１図
率８図
嘱ｑ図
４
率１０図
來１１区
不１２図
宅１４−図
ヒ（Ｘ１２）
奄１３図
ｒ（ｘｒ２）
不１５図
１−（ｘヒ２）Figures 1 to 4 are schematic diagrams showing major conventional examples, Figure 5 is a comparison diagram of energy storage density of these conventional examples, and Figure 6 is a specific modulus of elasticity Ea where = B a / E, = 2 radius r about /ρ
FIG. 7 shows the specific stress distribution σ0/ρ in the circumferential direction and the radial direction of the flywheel according to the present invention. σ, /ρ, FIG. 8 is a diagram showing the relationship between the proportionality constant representing the magnitude of the weight energy density of the flywheel according to the present invention and the inner diameter/outer diameter ratio, and FIG. 9 is a diagram showing the relationship between the ratio of the inner diameter and outer diameter of the flywheel according to the present invention. FIGS. 10 and 11 are perspective views showing an example of the fiber arrangement of the laminated prepreg and laminated cloth in a flywheel according to the present invention, and FIGS. 12 and 13 are Figure and 1st
FIG. 1 is a diagram showing one example of specific fiber content and density distribution in the example, and FIGS. 14 and 15 are diagrams showing a second specific example thereof. 1.11, 12, 13.14...Ring, 2...Par 31.32.33...Rubber-like low rigidity ring, 4
...Rotating shaft, 51... Circumferential fiber oriented prepreg, 52... Radial fiber oriented prepreg, 53... Circular spiral wound cross. Agent Patent Attorney Tatsuyuki Unuma 1 figure 2 figure 3 figure f] t4 - figure 5 figure Koi Tsume E 1 Shino push @ (q + figure ~ Namuguchi outside Shun) 16
Figure ``Mountain '1 figure rate 8 figure q figure 4 rate 10 figure come 11 ward fu 12 figure home 14-figure hi (X12) 奄13 figure r (xr2) not 15 figure 1-(xhi 2)
Claims (1)
板の半径方向の内側から外側に向って比弾性率を変化さ
せ、フライホイールが回転したときに周方向に発生する
応力と密度との比すなわち周方向の比応力を一様にした
ことを特徴とするフライホイール。 ２、特許請求の範囲第１項において、周方向の比応力を
一様にする手段として、繊維強化樹脂に内在する繊維を
周方向および半径方向に配列し、それぞれの繊維含有率
を円板の半径方向の内側から外側に向って変えたことを
特徴とするフライホイール。 ３．４？許請求の範囲第１項において、周方向の比応力
を一様にする手段として、繊維強化樹脂中の母体内に金
属等の微粉を混入し、半径方向の内側から外側に向けて
その混入率を変えたことを特徴とするフライホイール。 本 特許請求の範囲第１項において、周方向の比応力を
一様にする手段として、繊維強化樹脂に内在する繊維を
周方向および半径方向に配列しそれぞれの繊維含有率を
円板の半径方向の内側から外側に向って変えるとともに
、繊維強化樹脂中の母体内に金属等の微粉を混入し半径
方向の内側から外側に向けてその混入率を変えたことを
特徴とするフライホイール。 ５、特許請求の範囲第１項において、周方向の比応力を
一様にする手段として、繊維強化樹脂中に複数の種類の
繊維を配列し、それら繊維の混入比率を半径方向の内側
から外側に向けて変えたことを特徴とするフライホイー
ル。 ６、特許請求の範囲第１項において、周方向の比応力を
一様にする手段として、周方向の比弾性率の半径方向の
分布を、 のように変えることを特徴とするフライホイール。[Claims] In a flywheel made of 1° fiber-reinforced resin, the specific elastic modulus is changed from the inside to the outside in the radial direction of the disc, and the stress generated in the circumferential direction when the flywheel rotates is A flywheel characterized by having a uniform ratio to density, that is, specific stress in the circumferential direction. 2. In claim 1, as a means to make the specific stress in the circumferential direction uniform, the fibers inherent in the fiber-reinforced resin are arranged in the circumferential direction and the radial direction, and the fiber content of each is adjusted to A flywheel characterized by changing its radial direction from the inside to the outside. 3.4? In claim 1, as a means to make the specific stress uniform in the circumferential direction, fine powder such as metal is mixed into the matrix of the fiber-reinforced resin, and the mixing rate is from the inside to the outside in the radial direction. A flywheel characterized by a change in the . In claim 1, as a means to make the specific stress uniform in the circumferential direction, the fibers inherent in the fiber-reinforced resin are arranged in the circumferential direction and the radial direction, and the fiber content of each is adjusted in the radial direction of the disk. A flywheel characterized in that the rate of mixing is changed from the inside to the outside in the radial direction, and fine powder such as metal is mixed into the matrix in the fiber-reinforced resin, and the mixing rate is changed from the inside to the outside in the radial direction. 5. In claim 1, as means for making the specific stress uniform in the circumferential direction, a plurality of types of fibers are arranged in a fiber-reinforced resin, and the mixing ratio of these fibers is changed from the inside to the outside in the radial direction. A flywheel that is characterized by changes towards. 6. A flywheel according to claim 1, characterized in that the radial distribution of the specific modulus of elasticity in the circumferential direction is changed as follows as means for making the specific stress in the circumferential direction uniform.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP59058699A JPS60201139A (en) | 1984-03-26 | 1984-03-26 | Flywheel |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP59058699A JPS60201139A (en) | 1984-03-26 | 1984-03-26 | Flywheel |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| JPS60201139A true JPS60201139A (en) | 1985-10-11 |
Family
ID=13091771
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP59058699A Pending JPS60201139A (en) | 1984-03-26 | 1984-03-26 | Flywheel |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPS60201139A (en) |
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US5778736A (en) * | 1996-06-12 | 1998-07-14 | Dow-United Technologies Composite Products, Inc. | Spiral woven composite flywheel rim |
| JP2014088044A (en) * | 2001-09-13 | 2014-05-15 | Beacon Power Llc | Fly wheel rim made of composite equipped with plurality of co-mingled fiber layers, and method for manufacturing the same |
| JP2016525335A (en) * | 2013-07-19 | 2016-08-22 | ジーケーエヌ ハイブリッド パワー リミテッド | Energy storage flywheel and method of manufacturing the same |
| CN106523595A (en) * | 2015-09-11 | 2017-03-22 | 熵零股份有限公司 | Full-load flywheel |
-
1984
- 1984-03-26 JP JP59058699A patent/JPS60201139A/en active Pending
Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US5778736A (en) * | 1996-06-12 | 1998-07-14 | Dow-United Technologies Composite Products, Inc. | Spiral woven composite flywheel rim |
| US6029350A (en) * | 1996-06-12 | 2000-02-29 | Gkn Westland Aerospace Inc. | Spiral woven composite flywheel rim |
| JP2014088044A (en) * | 2001-09-13 | 2014-05-15 | Beacon Power Llc | Fly wheel rim made of composite equipped with plurality of co-mingled fiber layers, and method for manufacturing the same |
| JP2016525335A (en) * | 2013-07-19 | 2016-08-22 | ジーケーエヌ ハイブリッド パワー リミテッド | Energy storage flywheel and method of manufacturing the same |
| CN106523595A (en) * | 2015-09-11 | 2017-03-22 | 熵零股份有限公司 | Full-load flywheel |
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