Joint iterative algorithm-based tree structure shape finding optimization design method

Abstract

According to a joint iterative algorithm-based tree structure shape finding optimization design method, all components of a tree structure only receive the action of axis pressure under the action of a vertical load, and the problem that the stable bearing capacity of the components needs to be considered besides shape finding is solved. According to the method, the balance matrix is used for carrying out shape finding analysis on the tree-shaped structure, and on the basis, the Euler stable bearing capacity is introduced to consider the influence of the geometric length of the component on the stable bearing capacity. On the basis of carrying out shape finding on a tree-shaped structure by utilizing a balance matrix, a corresponding iterative algorithm is provided by combining with Euler stable bearing capacity of branches. A stiffness matrix is formed in general finite element software, and the internal force of the branches is extracted. The aim of optimizing the length of each branch is achieved by changing the force density of each branch. The reliability of the calculation method provided by the invention is verified through comparison with previous calculation results; and finally, through analysis of the large-scale space tree structure, the applicability of the algorithm to the large-scale tree structure is verified. The tree structure is optimized through the improved balance matrix method, so that the problem of calculation misconvergence caused by improper flexural rigidity of a double-unit method can be avoided. The research result of the method can provide a theoretical basis for the shape-finding optimization design of the tree structure.

Description

technical field [0001] The invention relates to the technical field of building structure engineering, in particular to a form-finding optimization design method based on a joint iterative algorithm tree structure. Background technique [0002] The tree structure is widely used in large public buildings such as airports and railway stations due to its beautiful shape and efficient load transfer form, such as figure 1 shown. Among the scientific problems about tree structures, form-finding analysis has always been the focus of scholars. The inverse hanging method is a very typical analysis method of tree structure. Before the rapid development of numerical analysis techniques, at the end of last century and the beginning of this century, the form-finding of tree structures was mainly carried out through experiments. Kolodziejczyk immerses the silk model in water and uses the surface tension of water to realize the form-finding of the tree structure; Buelow proposes the dry...

AI Technical Summary

Problems solved by technology

[0005] In order to solve the problem of form-finding of large and complex tree structures and the traditional method not considering the stable bearing capacity of compression members, the present invention adopts the following technical solutions:

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