Structure and level set implicit type expression method of multi-type boundaries of structure

Abstract

The invention discloses a structure and a level set implicit type expression method of the multi-type boundaries of the structure. The method includes the following steps that: (1) a corresponding number of independent topological indication functions are established according to the n types of surfaces of a structure Omega; (2) a plurality of types of boundaries are statically expressed: the topological indication functions are used to express the structure region Omega, topological indication functions are used to describe the different boundary types in the structure; and (3) the plurality of types of boundaries are expressed dynamically and evolutionarily: dynamic evolution equation sets are solved, so that each level function set can be evolved, updated topological indication functions are circularly substituted into step (2), so that a new structure and new boundaries can be obtained, and the operation is performed until an optimization target is reached. With the method of the invention adopted, the plurality of types of the surfaces of the structure can be clearly and accurately described, and the evolution process of the surfaces of the structure can be dynamically expressed.

Description

technical field [0001] The invention belongs to the field of structural dynamic modeling, in particular to a level set implicit expression method of a structure and its multi-type boundaries. Background technique [0002] The design work of modern more and more complicated mechanical and electrical products has changed from the traditional way of relying on the designer's experience and inspiration to the way of using computer for structural design and optimization. Structural optimization improves the performance index by changing the geometric configuration of the mechanical structure. A structure is a region of space bounded by boundaries whose size, shape, and topology determine the geometry of the structure. The boundary of the structure includes many types: displacement boundary (that is, the support condition), external force boundary (that is, the loading boundary of external force) and free boundary (that is, the boundary that is not subject to external constraints...

AI Technical Summary

Problems solved by technology

[0003] However, in most current structural optimization problems, the displacement boundary and external force boundary of the structure are given in advance, and are limited to remain unchanged during the optimization process

In many practical engineering problems, such restrictions are unreasonable, so the potential of structural optimization cannot be fully exploited

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