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.