CN102605891B - Movable truss with high-order curve shape - Google Patents

Movable truss with high-order curve shape Download PDF

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Publication number
CN102605891B
CN102605891B CN201210059632.6A CN201210059632A CN102605891B CN 102605891 B CN102605891 B CN 102605891B CN 201210059632 A CN201210059632 A CN 201210059632A CN 102605891 B CN102605891 B CN 102605891B
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China
Prior art keywords
connecting rod
quadric chain
node
connecting bar
pin joint
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Expired - Fee Related
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CN201210059632.6A
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Chinese (zh)
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CN102605891A (en
Inventor
蔡建国
冯健
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Southeast University
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Southeast University
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Abstract

The invention discloses a truss structure with a high-order curve shape, comprising a connecting bar mechanism and an inhaul cable, wherein the connecting bar mechanism is obtained by interconnection of n four-connecting bar mechanisms by n-1 joints; the four-connecting bar mechanism is obtained by rotary connection of a first connecting bar, a second connecting bar, a third connecting bar and a fourth connecting bar; lengths of the first connecting bar and the fourth connecting bar are the same; lengths of the second connecting bar and the third connecting bar are the same; and lengths of the first connecting bar and the fourth connecting bar are longer than those of the second connecting bar and the third connecting bar. Because lengths of the first connecting bar and the second connecting bar in the connecting bar mechanism are different, in the movable truss, the joint of each sub connecting bar mechanism becomes arc during deformation; the corresponding geometrical shape is arc; and curvatures of the arcs change during the movement of the truss, so that the movable truss can form a geometrical shape with high-order curve.

Description

The movable truss with luminance curve profile
Technical field
The present invention relates to a kind of trussed construction, especially a kind of trussed construction with luminance curve profile.
Background technology
Large-span roof structure generally all adopts curved-surface structure, and curved-surface structure is and Appearance of Architecture closely-related " shape opposing type " space structures.The selection of curved-surface structure form, not only affects safety and the economy of building, also directly affects all requirements to building such as usability, taste of building.The curved-surface structure form that can select is at present confined to more simple geometry (cylindrical shape, the flattened ball bodily form, hyperbolic paraboloid shape etc.), can not meet growing Appearance of Architecture requirement.The supposition of curved-surface structure form is artificial, and its reasonability and diversity and designer's experience, the know-how of grasping are closely related, and the scope of selecting is also very narrow.The design variable close relations such as the mechanical property of curved-surface structure shape and stress state, structure boundary characteristic, support condition, it is quite difficult with simple geometry, realizing predetermined reasonable structure.So experience abundant, the theoretical level high reasonability that can not guarantee completely objectively structural form more in general, and the construction project of more complicated is found to a rational structural form is suitable difficulty.If roof structure in use can constantly be adjusted structural form according to external condition, not only can guarantee the reasonability of structural form, and multiple architectural appearance can be provided, to reach self adaptation and the intellectuality of building.
Summary of the invention
In order to meet the receive strength rationality of curved-surface structure and multi-functional gymmasium, hold different light when movable, space, energy-conservation etc. requirement, extremely be necessary the structural system that proposition can change between a plurality of how much states, and its geometric shape can be changed to high-order curve form from cylindrical reticulated shell.
In order to achieve the above object, the present invention has adopted following technical scheme:
A kind of trussed construction with luminance curve profile, comprise linkage and drag-line, described linkage is interconnected and is formed by n-1 node by n quadric chain, n is not less than 3 and be not more than 720, described quadric chain is by first connecting rod, second connecting rod, third connecting rod and the 4th connecting rod are rotationally connected composition mutually, the first connecting rod of the third connecting rod of described quadric chain and the 4th connecting rod and adjacent quadric chain and second connecting rod share a node, in n quadric chain, the first connecting rod of first quadric chain and the node of second connecting rod and the first bearing pin joint are rotationally connected, the node of the third connecting rod of last quadric chain and the 4th connecting rod is also rotationally connected with the second bearing pin joint, a described n-1 node comprises the first pin joint, a the second pin joint and n-3 pin-connected joints, being arranged between n-3 pin-connected joints of the first pin joint and the second pin joint interval, the third connecting rod of the first quadric chain of two quadric chains that are connected with each pin-connected joints and the first connecting rod of another quadric chain form a rod member, the 4th connecting rod of the first quadric chain of two quadric chains that are connected with each pin-connected joints and the second connecting rod of another quadric chain form a rod member, described linkage is by the first pin joint, the second pin joint, the first bearing pin joint and the second bearing pin joint are divided into three sub-linkages, in every sub-linkage, head and the tail are hinged joint, on every sub-bar linkage structure, the first drag-line and the second drag-line are set, described the first drag-line is from the first node of this sub-connection structure, through the first connecting rod of first quadric chain and the connected node of the 4th connecting rod, then through the second connecting rod of first quadric chain and the connected node of third connecting rod, again through the first connecting rod of second quadric chain and the connected node of the 4th connecting rod, subsequently again through the second connecting rod of second quadric chain and the connected node of third connecting rod, so repeatedly, until be connected to the node of afterbody, two nodes of the second described drag-line connexon linkage head and the tail, between the second connecting rod of adjacent two quadric chains connecting at the first hinged joint or the second pin joint and the connected node of third connecting rod, an expansion link is set, it is characterized in that: described first connecting rod is identical with the length of the 4th connecting rod, described second connecting rod is identical with the length of third connecting rod, and the length of first connecting rod and the 4th connecting rod is greater than the length of second connecting rod and third connecting rod.
The present invention changes the geometric shape of trussed construction by the variation of six roots of sensation drag-line and a length of telescopic bar.
The present invention has the movable trussed construction of luminance curve profile, this truss can be as the braced structures that needs a plurality of stable geometrical configuration roof systems, it can not only meet the various functions requirement of building to roof system change in shape, also there is the advantages such as design and easy construction, can meet preferably the requirement of various span buildings to roof system folding function.
The invention has the beneficial effects as follows, the present invention consists of the linkage with four degree of freedom depression bar, and utilizes six roots of sensation drag-line and an expansion link drive link mechanism, forms movable trussed construction; This invention can change to arbitrarily other a plurality of geometrical configuration from a geometrical configuration, and can bear external load at these geometrical configuration places; Because first connecting rod is different with second connecting rod length in linkage, so the node of every sub-linkage becomes a circular arc when distortion in movable truss, corresponding geometric shape is for being also circular arc, and the curvature of these circular arcs also changes in truss motion process, so movable truss can form the geometric shape with luminance curve; Because the present invention is comprised of high strength rope and depression bar, its quality is less, and the part rigidity of structure is provided by prestressing force, so can save a large amount of materials, reduces deadweight; And its structure rationally, design and construction simple, be suitable for the building of various spans.
Accompanying drawing explanation
Below in conjunction with drawings and Examples, the present invention is described in more detail:
Fig. 1 is structural representation of the present invention.
Fig. 2 is the geometrical configuration (drag-line and expansion link do not show) after movable truss changes.
Fig. 3 is movable Truss Design schematic diagram.
The specific embodiment
Below with reference to Figure of description, the specific embodiment of the present invention is made to more detailed explanation:
As shown in Figure 1, a kind of movable truss with luminance curve profile, by linkage and drag-line, formed, linkage is comprised of a plurality of quadric chains 5, quadric chain 5 is by first connecting rod 1, second connecting rod 2, third connecting rod 3 and the 4th connecting rod 4 form, and one end of one end of first connecting rod 1 and second connecting rod 2 is rotationally connected, one end of the other end of second connecting rod 2 and third connecting rod 3 is rotationally connected, one end of the other end of third connecting rod 3 and the 4th connecting rod 4 is rotationally connected, the other end of one end of the 4th connecting rod 4 and first connecting rod 1 is rotationally connected, the first connecting rod 1 of described quadric chain 5 and the 4th connecting rod 4 equal in length, and the length of its second connecting rod 2 and third connecting rod 3 also equates, and the length of first connecting rod 1 and the 4th connecting rod 4 is greater than the length of second connecting rod 2 and third connecting rod 3, described linkage is interconnected and is formed by n-1 node by n quadric chain 5, n is not less than 3 and be not more than 720, and the first connecting rod 1 of the third connecting rod 3 of quadric chain and the 4th connecting rod 4 and adjacent quadric chain and second connecting rod 2 share a node, in n quadric chain, the first connecting rod 1 of first quadric chain and node and the bearing of second connecting rod 2 are rotationally connected, the third connecting rod 3 of last quadric chain and the node of the 4th connecting rod 4 are also rotationally connected with bearing, and in this n-1 node, there is the third connecting rod 3 of quadric chain and the first connecting rod of adjacent quadric chain 4 that n-3 node connects to form a rod member, and the 4th connecting rod 4 of quadric chain forms a rod member with the second connecting rod 2 of adjacent quadric chain, thereby make this n-3 node become the pin-connected joints of two bar rod members, and two other node is the still four rod members node that is hinged, be referred to as the first pin joint 6 and the second pin joint 7, the linkage forming like this has four degree of freedom, in order to make organisation conversion, it is structure, the present invention uses six roots of sensation drag-line and an expansion link as drive unit.
Described linkage is by the first pin joint 6, the second pin joint 7 and two bearing pin joints are divided into three sub-linkages, in every sub-linkage, head and the tail are hinged joint, and pin joint is adjacent from beginning to end with a drag-line 8, described drag-line, from stem hinged joint, through the first connecting rod 1 of first quadric chain and the connected node of the 4th connecting rod 4, then through the second connecting rod 2 of first quadric chain and the connected node of third connecting rod 3, again through the first connecting rod 1 of second quadric chain and the connected node of the 4th connecting rod 4, subsequently again through the second connecting rod 2 of second quadric chain and the connected node of third connecting rod 3, so repeatedly, until be connected to the hinged joint of afterbody, two hinged joints of another root drag-line 9 connexon linkage head and the tail, between the second connecting rod 2 of adjacent two quadric chains connecting at the first hinged joint 6 and the connected node of third connecting rod 3, an expansion link 10 is set, thereby by the variation of six roots of sensation drag-line and a length of telescopic bar, change the geometric shape of trussed construction, the truss with luminance curve profile after variation of Fig. 2.
Bearing hinged joint shown in Fig. 1 forms by 4 quadric chains with the sub-linkage being connected in the middle of the first pin joint 6, the second pin joint 7, in this little linkage, the line of quadric chain connected node is a circular arc, and the curvature of these circular arcs changes in truss motion process, so movable truss can form the geometric shape with luminance curve.
The geometry designs of movable truss is divided into two aspects: one is Top-Down Design; Another is reverse engineer.Wherein Top-Down Design refers to known input parameter, asks the geometrical configuration of truss; Reverse engineer refers to known its geometrical configuration, asks input parameter.
As shown in Figure 3, movable truss can be regarded as to Yi Ge seven-link assembly mechanism, it has 4 rotating hinges and 3 sliding hinges, is also RPRPRPR mechanism.Can find out, the length of AB, s fixes, and system has 4 degree of freedom, and can be defined as the length of AD, DE and BE be s to its input parameter 1, s 2and s 3and the angle β of rod piece A B and AD.Its Top-Down Design can be defined as known s 1, s 2, s 3and β, ask rise, span of truss etc.From geometric knowledge, if the coordinate that D point, E are ordered is known, the rise of the truss of system, span etc. can be tried to achieve easily.The coordinate that D point, E are ordered can be tried to achieve by following formula:
( x D - x A ) 2 + ( y D - y A ) 2 = s 1 2 ( x D - x E ) 2 + ( y D - y E ) 2 = s 2 2 ( x E - x B ) 2 + ( y E - y B ) 2 = s 3 2 y D x D = tan β - - - ( 1 )
Reverse engineer is also how much of known architectures, asks s 1, s 2, s 3and β.Also the coordinate that be known D point, E ordered, can utilize formula (1) to try to achieve s equally 1, s 2, s 3and β.

Claims (1)

1. a trussed construction with luminance curve profile, comprise linkage and drag-line, described linkage is interconnected and is formed by n-1 node by n quadric chain, n is not less than 3 and be not more than 720, described quadric chain is by first connecting rod, second connecting rod, third connecting rod and the 4th connecting rod are rotationally connected composition mutually, the first connecting rod of the third connecting rod of described quadric chain and the 4th connecting rod and adjacent quadric chain and second connecting rod share a node, in n quadric chain, the first connecting rod of first quadric chain and the node of second connecting rod and the first bearing pin joint are rotationally connected, the node of the third connecting rod of last quadric chain and the 4th connecting rod is also rotationally connected with the second bearing pin joint, a described n-1 node comprises the first pin joint, a the second pin joint and n-3 pin-connected joints, being arranged between n-3 pin-connected joints of the first pin joint and the second pin joint interval, the third connecting rod of the first quadric chain of two quadric chains that are connected with each pin-connected joints and the first connecting rod of another quadric chain form a rod member, the 4th connecting rod of the first quadric chain of two quadric chains that are connected with each pin-connected joints and the second connecting rod of another quadric chain form a rod member, described linkage is by the first pin joint, the second pin joint, the first bearing pin joint and the second bearing pin joint are divided into three sub-linkages, in every sub-linkage, head and the tail are hinged joint, on every sub-bar linkage structure, the first drag-line and the second drag-line are set, described the first drag-line is from the first node of this sub-bar linkage structure, through the first connecting rod of first quadric chain and the connected node of the 4th connecting rod, then through the second connecting rod of first quadric chain and the connected node of third connecting rod, again through the first connecting rod of second quadric chain and the connected node of the 4th connecting rod, subsequently again through the second connecting rod of second quadric chain and the connected node of third connecting rod, so repeatedly, until be connected to the node of afterbody, two nodes of the second described drag-line connexon linkage head and the tail, between the second connecting rod of adjacent two quadric chains connecting at the first pin joint or the second pin joint and the connected node of third connecting rod, an expansion link is set, it is characterized in that: described first connecting rod is identical with the length of the 4th connecting rod, described second connecting rod is identical with the length of third connecting rod, and the length of first connecting rod and the 4th connecting rod is greater than the length of second connecting rod and third connecting rod.
CN201210059632.6A 2012-03-08 2012-03-08 Movable truss with high-order curve shape Expired - Fee Related CN102605891B (en)

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Families Citing this family (6)

* Cited by examiner, † Cited by third party
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CN103993661A (en) * 2014-03-24 2014-08-20 淮海工学院 Concave cable-arch structure
CN103993660A (en) * 2014-03-24 2014-08-20 淮海工学院 Double-jack-stay inwards-concave rope arch structure
CN106498839B (en) * 2016-11-15 2018-05-18 东南大学 A kind of bi-directional folded truss-type bridges structure
CN106351109B (en) * 2016-11-15 2018-05-18 东南大学 A kind of collapsible arch bridge structure
CN106351110B (en) * 2016-11-15 2018-03-16 东南大学 A kind of deck type folded truss bridge structure
CN106903716B (en) * 2017-01-22 2019-10-29 浙江厚达智能科技股份有限公司 Curve telescopic manipulator

Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
ES8505073A1 (en) * 1984-05-02 1985-04-16 Escrig Pallares Felix Modular system for the construction of spacelous drawbar structures of bars (Machine-translation by Google Translate, not legally binding)
CN2487800Y (en) * 2001-01-09 2002-04-24 于汉荣 Longspan expanding structure beam
CN1729339A (en) * 2002-12-19 2006-02-01 Isis创新有限公司 Deployable structure
ES2368639A1 (en) * 2009-08-21 2011-11-21 Rodrigo García González Structural system fractal deplegable. (Machine-translation by Google Translate, not legally binding)
CN202611065U (en) * 2012-03-08 2012-12-19 东南大学 Movable truss with high-order curved shape

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
ES8505073A1 (en) * 1984-05-02 1985-04-16 Escrig Pallares Felix Modular system for the construction of spacelous drawbar structures of bars (Machine-translation by Google Translate, not legally binding)
CN2487800Y (en) * 2001-01-09 2002-04-24 于汉荣 Longspan expanding structure beam
CN1729339A (en) * 2002-12-19 2006-02-01 Isis创新有限公司 Deployable structure
ES2368639A1 (en) * 2009-08-21 2011-11-21 Rodrigo García González Structural system fractal deplegable. (Machine-translation by Google Translate, not legally binding)
CN202611065U (en) * 2012-03-08 2012-12-19 东南大学 Movable truss with high-order curved shape

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