Topological optimization method for multi-material structure

Abstract

The invention belongs to the field of structural optimization design, and particularly discloses a topological optimization method for a multi-material structure. The method comprises the steps of performing finite element mesh generation on a design domain of a to-be-processed object to obtain a preset number of mesh units, and establishing level set functions in one-to-one correspondence with entity materials; calculating an elastic matrix, a rigidity matrix and a displacement vector; calculating a velocity field and a sensitivity degree, and converting or deleting the entity material in thegrid cell according to the sensitivity degree to obtain a level set function after the first optimization under the current iteration; updating to obtain a level set function optimized for the secondtime under the current iteration by utilizing the speed field; and judging whether the result of the second optimization is converged or not according to the flexibility and the volume error. According to the method, the defects that a classical level set topological optimization method depends on initial design and a two-way progressive optimization method cannot obtain a smooth boundary are overcome, the structural rigidity is improved to a certain extent, and the provided method is stable and effective.

Description

technical field [0001] The invention belongs to the field of structural optimization design, and more specifically relates to a multi-material structure topology optimization method. Background technique [0002] The topology optimization of multi-material structures refers to the rational arrangement of multiple materials with different mechanical properties in a specified space domain to obtain structures with excellent properties. In recent years, with the emergence of additive manufacturing technology, the manufacturing cost of multi-material structures has been relatively reduced, so such structures have received more and more attention in engineering applications. [0003] In the design method of multi-material structure topology optimization, the level set method uses multiple level set functions to represent the areas occupied by different materials and the boundaries between them, and then evolves the boundaries to optimize the topology and shape of the structure; t...

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Problems solved by technology

The above two methods have shortcomings in the topology optimization of multi-material structures, and cannot effectively solve practical engineering problems.

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