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Group theory-based symmetric cable-strut structure form finding method

A symmetrical and cable-rod technology, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve the problem of large influence on the results of the setting method

Active Publication Date: 2018-07-31
SOUTHEAST UNIV
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  • Abstract
  • Description
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  • Application Information

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Problems solved by technology

For the cable-strut structure with support boundary constraints, some scholars convert the support constraints into bar constraints by adding virtual members, thereby transforming the structure into a self-balancing tensegrity structure for analysis, but the virtual member Different settings have a greater impact on the results

Method used

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  • Group theory-based symmetric cable-strut structure form finding method
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Embodiment Construction

[0040] The present invention will be further described below in conjunction with embodiment and accompanying drawing.

[0041] Based on the MATLAB programming platform, the figure 2 The structure is solved using the method described in the present invention. figure 2 The structure shown has 6 nodes and 8 rods, of which nodes 1, 2, 3, and 4 are free nodes, and nodes 5 and 6 are constrained nodes, which belong to C 2V Symmetrical structure, according to the symmetry, the rods are divided into three groups, horizontal cables, oblique cables and pressure rods, respectively with T h , T v and T d Indicates the force density of the horizontal stay cables, diagonal stay cables and struts.

[0042] Such as figure 2 The structure shown has four symmetry operations: identity transformation (E), rotation around the z-axis by 180° (C 2 ), mirror symmetry with respect to the horizontal plane (σ V ) and mirror symmetry with respect to the vertical plane (σ′ V ).

[0043] When th...

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Abstract

The invention discloses a group theory-based symmetric cable-strut structure form finding method. For symmetric cable-strut structure with support boundary conditions, symmetric groups, to which the structures belong, are determined according to a group theory from two angles of all the nodes and free nodes of the structure, symmetric sub-spaces considering irreducible representations, related torigid body translation of the structure in X, Y and Z directions, of all the nodes and the free nodes are solved, feasible force densities and node coordinates of the structures are directly solved according to rank defect conditions and null spaces of force density block sub-matrixes corresponding to the irreducible representations, and finally node coordinates under a Cartesian coordinate systemare solved. The method is capable of correctly and rapidly calculating rod force densities and corresponding node coordinates.

Description

technical field [0001] The invention belongs to the fields of spatial structure, shape analysis, design and development of a symmetrical cable-strut structure, and relates to a form-finding method for a symmetrical cable-strut structure. Background technique [0002] In the traditional structure, the structure obtains its stiffness from the geometry and materials, and this kind of structure mainly obtains the stiffness from the geometry and materials, which is the so-called rigid structure. The cable-strut structure mainly obtains the stiffness from the prestress, and the analysis to determine the geometric shape and prestress state of the cable-strut structure is the so-called form-finding analysis, also known as the initial shape analysis, where the shape is the initial geometric shape, and the state is initial prestressed state. [0003] Most of the existing form-finding methods are aimed at the self-balancing cable-strut system, and most of the structures applied in civ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/20
Inventor 陈耀孙求知冯健
Owner SOUTHEAST UNIV
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