Negative Poisson's ratio lattice structure topology optimization method considering bearing characteristics

Abstract

The invention discloses a negative Poisson's ratio lattice structure topology optimization method considering bearing characteristics. The method comprises: firstly, using an improved SIMP interpolation function for defining the relation between the elasticity modulus and the density of a material, then solving an equivalent elastic matrix of a microstructure on the basis of an energy homogenization method, and representing the equivalent elastic matrix by using an equivalent method in allusion to the high nonlinearity of a negative Poisson's ratio expression of the structure; and finally, constructing an optimization model taking the negative Poisson ratio and the rigidity of the structure as targets, solving the topological optimization model by utilizing an improved OC algorithm, and outputting optimal unit cell configurations with different weights. According to the method, the bearing characteristic and the energy absorption characteristic of the structure are represented by the rigidity and the negative Poisson ratio respectively. The provided examples show that the topological optimization method comprehensively considers the structure bearing and energy absorption characteristics, the optimized lattice structure can effectively absorb energy generated by collision, the structure does not collapse in the compression process, and the topological optimization method has acertain bearing capacity.

Description

technical field [0001] The invention belongs to the related technical field of structure optimization design, and more specifically relates to a topology optimization method of a negative Poisson's ratio lattice structure considering bearing characteristics. Background technique [0002] As a structural design method, topology optimization has developed rapidly in the past few decades, and various methods and techniques have been developed on structural topology optimization. Among the representative methods are SIMP method (Solidisotropic material with penalization), level set method (Level set method), ESO method (Evolutionary structural optimization) and BESO method (Bidirectionalevolutionary structure optimization method) developed based on ESO method. Structural topology optimization is different from size and shape optimization. In the case of unknown initial topological relationship of the structure, the material seeks the topological form of the structure under the c...

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Problems solved by technology

[0004] The existing topology optimization design of negative Poisson's ratio structures generally only focuses on the Poisson's ratio optimization of the structure, ignoring the load-bearing performance requirements of the structure when absorbing collision energy

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