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Form-finding method of cable-strut tensile structure

A tension structure, cable-rod technology, applied in special data processing applications, instruments, electrical digital data processing, etc.

Inactive Publication Date: 2012-09-12
SOUTHEAST UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

The present invention writes these constraints into the function function of the gradient method optimization method, thereby solving this problem more easily

Method used

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  • Form-finding method of cable-strut tensile structure
  • Form-finding method of cable-strut tensile structure
  • Form-finding method of cable-strut tensile structure

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Embodiment Construction

[0049] Below in conjunction with specific implementation case the present invention is described in more detail:

[0050] The cables and compression rods that make up the cable-strut tension structure are only affected by the axial force, and their strain energy V can be expressed as:

[0051] V = 1 2 F 2 l EA - - - ( 1 )

[0052] Where F is the axial force of the rod, l is the length of the rod, and EA is the axial stiffness of the rod. Formula (1) can also be expressed as:

[0053] V = 1 2 q F EA l 2 = wl 2 - - - ( ...

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Abstract

The invention discloses a form-finding method of a cable-strut tensile structure, belonging to the field of building design and structure design of a space structure. The method provided in the invention comprises the following steps: setting a topological relation of the cable-strut tensile structure and rendering constraint conditions thereof and lengths of struts; determining an objective function in form-finding analysis of the cable-strut tensile structure; setting weight coefficients of the lengths of each cable and strut as well as weight coefficients of each boundary condition, and rendering an initial step length in a gradient optimization method; and calculating a gradient vector of a coordinate variable of each node in XK. The method provided in the present invention is based on viewpoint of energy, constraints such as boundary conditions of the cable-strut tensile structure and the like are written into the performance function of the gradient optimization method, thereby a form-finding problem of the tensile structure having the constraint conditions being easily solved. Too many constraint conditions and geometric constraints are added in traditional form-finding methods, while, few constraint conditions exist in the method provided in the present invention, therefore, a large number of irregular systems can be found.

Description

technical field [0001] The invention discloses a form-finding method for a cable-strut tension structure optimized based on a gradient method, and belongs to the field of architectural design and structural design of space structures. Background technique [0002] The stiffness of the cable-strut tension structure is provided by the prestress, and they need a process to reach the self-balance state, which is generally called the prestress state. The prestressed state of the structure depends on the shape of the structure, so the process of reaching the prestressed state is also called form-finding. The form-finding of the cable-strut tension structure is also a force-finding process. In the specific form-finding method, the shape parameters can be used as variables, and the internal force parameters can also be used as variables. Therefore, form-finding methods can be divided into two categories: "force-finding" and "form-finding". Dynamic relaxation method. The force den...

Claims

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Application Information

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IPC IPC(8): G06F19/00
Inventor 蔡建国冯健
Owner SOUTHEAST UNIV
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