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Method for determining initial prestress distribution of cable-pole tensile structure

A technology of initial prestress and tension structure, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve problems such as regardless of structural stiffness, and achieve the effect of saving raw materials and facilitating construction

Active Publication Date: 2012-09-12
SOUTHEAST UNIV
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Problems solved by technology

[0012] In order to overcome the disadvantage that the existing method for determining the initial prestress distribution does not consider the structural stiffness, the present invention uses an optimization method to find a structure that can ensure geometric stability, maximum stiffness, uniform prestress distribution, and satisfy the conditions of the tension of the cable and the compression of the compression bar. Initial prestress distribution form

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  • Method for determining initial prestress distribution of cable-pole tensile structure
  • Method for determining initial prestress distribution of cable-pole tensile structure
  • Method for determining initial prestress distribution of cable-pole tensile structure

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Embodiment Construction

[0040] Determining the initial prestress distribution of the cable-strut tension structure includes the following steps:

[0041] (1) Given the geometric and topological relations of the cable-strut tension structure, and calculating its equilibrium matrix;

[0042](2) Calculate the self-stress modal number of the cable-strut tension structure. When the required self-stress mode number s is 1, if the self-stress mode satisfies the condition that the cable is under tension and the bar is under compression, it is the required initial prestress distribution; if this condition is not satisfied, the structure needs to be given again geometric or topological relationships. The present invention is mainly aimed at the situation that the self-stress modal number s is greater than 1, then the general prestressed state T is a linear combination of s independent self-stress modes, namely

[0043] T=α 1 T 1 +α 2 T 2 +...+α s T s

[0044] In the formula: T i is the i-th independe...

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Abstract

The invention discloses a method for determining initial prestress distribution of a cable-pole tensile structure, belonging to the field of architectural design and structural design of space structure. The method comprises the following steps of: a first step of giving the geometry and topology relation of the cable-pole tensile structure and calculating the balanced matrix of the cable-pole tensile structure; a second step of calculating the self-stress mode number of the cable-pole tensile structure; a third step of determining a target function in the optimizing method; a fourth step of randomly generating c groups of self-stress mode combination coefficients and thereby obtaining c initial prestress distributions, using the gradient method to optimize and thereby obtaining c groups of final initial prestress distributions, then comparing stiffness matrix quadratic form minimum characteristic roots corresponding to the c groups of final distributions of initial prestress and taking the data with the largest stiffness matrix quadratic form minimum characteristic root as the final result, wherein the value of c is integers greater than 100; and a fifth step of judging whether the cable-pole tensile structure with the selected initial prestress distribution satisfies the stability condition.

Description

technical field [0001] The invention discloses a method for determining the initial prestress distribution of 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 cable-strut tension structure is composed of cables and compression rods as basic units. The biggest difference between it and the general traditional structure is that there are self-stress modes and mechanism displacements inside the structure. If the structure can provide stiffness by applying prestress, although there is a first-order infinitesimal mechanism inside the structure, it can still bear a certain load like a traditional structure. Before the prestress is applied, the rigidity of the structure itself cannot maintain its shape, and the system is in a relaxed state. Only a certain amount of prestress can be applied to form and bear the load; and the size and dist...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F19/00
Inventor 蔡建国冯健
Owner SOUTHEAST UNIV
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