Symmetric force finding method of prestressed cable rod structure

A technology of prestressed cable and rod structure, which is applied in the direction of building construction and construction, and can solve the problems of difficulty in operation and increased error probability

Active Publication Date: 2015-12-02
SOUTHEAST UNIV
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Problems solved by technology

However, when the geometry of the structure becomes complex and the scale increases, the

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  • Symmetric force finding method of prestressed cable rod structure
  • Symmetric force finding method of prestressed cable rod structure
  • Symmetric force finding method of prestressed cable rod structure

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[0033] The present invention will be further explained below in conjunction with the embodiments and the drawings of the specification.

[0034] figure 1 This is the technical flow chart of the method for symmetrical force finding of the prestressed cable rod structure in the present invention, which mainly includes the following steps:

[0035] (1) According to the given initial geometric configuration of the prestressed cable and rod structure, construct the force balance matrix H of the overall structure; according to the independent symmetry operation of the cable and rod structure, the overall symmetry of the structure and the symmetry group to which it belongs are clarified, The symmetrical operations include identity transformation, rotation, mirroring, and inverse operations. Under these symmetrical operations, the geometric configuration of the structure remains unchanged. Use the group theory method to establish a symmetric subspace corresponding to the external load vect...

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Abstract

The invention discloses a symmetric force finding method of a prestressed cable rod structure, and belongs to the field of the design of modern space structures. The method comprises the steps that 1, a force equilibrium matrix is set up, and symmetric subspaces corresponding to an external load vector and an internal force vector are set up respectively; 2, a first partition submatrix of the symmetric type equilibrium matrix is calculated; 3, a holohedric self-stress mode is solved; 4, whether the holohedric self-stress mode is an untrivial solution or not is judged, and if the holohedric self-stress mode is a zero solution, a geometric structure is redesigned; 5, an initial prestress combination coefficient is determined; 6, whether the set-up prestressed cable rod structure meets the stability conditions or not is judged, if the structure is stable, a symmetric force finding result is output, the symmetric force finding process is finished, and otherwise, the last step is executed again to seek an initial prestress distribution scheme again.

Description

technical field [0001] The invention relates to a symmetrical force-finding method for a prestressed cable-strut structure based on a group theory method, and belongs to the field of architectural design and structural design of space structures. Background technique [0002] The prestressed cable-strut structure is composed of tensioned cable units and compressed compression rod units. A significant difference between this type of structure and traditional structures is that in the initial state, there are both mechanism displacement modes and self-stress modes inside the structure. And mainly rely on the initial prestress to maintain or improve the stiffness of the structure. Therefore, the distribution mode of the initial prestress directly affects the overall performance of the prestressed cable-strut structure. In order to achieve the optimal mechanical properties of the prestressed cable-strut structure, finding its reasonable initial prestress (referred to as finding...

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Application Information

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IPC IPC(8): E04B1/18
Inventor 陈耀冯健
Owner SOUTHEAST UNIV
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