Substructure interpolation model modeling method for topology optimization design of multi-level lattice structures

Abstract

The invention belongs to the related technical field of structural topology optimization, and discloses a substructure interpolation model modeling method for topology optimization design of multi-level lattice structures. The method includes the following steps: selecting configuration forms and characteristic geometric parameters of substructures; defining the density of the substructures as design variables, and establishing a relationship between the design variables and the characteristic geometric parameters; changing values of the design variables, and generating a series of substructures with different density values; performing finite element discretization on the series of substructures; obtaining a series of super-element stiffness matrices; extracting the characteristic reduction basis of the series of super-element stiffness matrices and a characteristic reduction basis mapping coefficient of each super-element stiffness matrix; constructing a relationship between the characteristic reduction basis mapping coefficient and the design variables; and establishing an approximate calculation formula of the super-element stiffness matrices. According to the scheme of the invention, an approximate calculation model of the super-element stiffness matrices of the substructures is established, the model is used for the topology optimization design of scale-associated multi-level lattice structures, the connectivity of the structures can be guaranteed, and the design scheme can be directly used for manufacturing.

Description

technical field [0001] The invention belongs to the technical field related to structural topology optimization, and more specifically relates to a substructure interpolation model modeling method for topology optimization design of a multi-level lattice structure. Background technique [0002] Lattice structure topology optimization design is a new digital structure design method, the purpose is to find an economical and applicable structure form, and achieve the best performance of the structure with the least amount of material or the lowest cost. By establishing the relationship between the microstructure of the lattice material and the mechanical properties of the macroscopic overall structure, and based on the structural analysis, iteratively design a better material structure configuration that meets the performance requirements in the design domain, thereby obtaining greater economic benefits. Lattice material, as a new type of advanced material with porous and order...

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Problems solved by technology

However, this method lacks a well-defined size ratio on the macro-micro scale, and the mechanical properties of the fabricated macro-micro structures are much lower than those of the theoretically designed structures.

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