Multi-scale optimization design method for gradient random dot matrix/porous structure

Abstract

The invention provides a gradient random dot matrix / porous structure multi-scale optimization design method, which comprises the following steps of: performing modeling analysis on a microstructure on a micro-scale to construct a relationship between the relative density and an elastic parameter and a size parameter of the microstructure; on the macroscopic scale, a penalty-free node density optimization algorithm is provided to obtain relative density distribution; the average slenderness ratio distribution of the rod pieces is obtained by combining the relation between the relative density distribution of the microstructures and the slenderness ratios of the rod pieces; based on the average slenderness ratio distribution and the relative density distribution of the rod pieces, a framework of the dot matrix / porous structure and a symbol distance function of the framework are obtained by means of a grid generation algorithm, and the geometric configuration of the full-scale dot matrix / porous structure is generated by cutting the symbol distance function. The problems of defects, load sensitivity and the like caused by anisotropy of unit cells of a traditional regular lattice structure are solved, the problem of connectivity of adjacent microstructures of the traditional regular lattice structure is solved, and the method can be directly applied to lightweight design of engineering structures.

Description

technical field [0001] The invention belongs to the technical field of engineering structure design, and in particular relates to a gradient random lattice / porous structure multi-scale optimization design method. Background technique [0002] Multi-scale structures such as bamboo and bone in nature usually have the advantages of light weight, high strength, impact resistance, and multiple functions. They are favored by engineers for their excellent performance and good designability. Multiscale structures usually have two or more characteristic scales: the material scale is called the microscale, and the structural scale is called the macroscale. These two scales are mutually coupled, that is, the distribution of microscopic materials will affect the performance of macroscopic structures, and changes in the boundary conditions of macroscopic structures will cause changes in the distribution of microscopic materials, thus achieving perfect matching of structures and materials...

AI Technical Summary

Problems solved by technology

Since the macroscopic mechanical properties of regular lattice microstructures are easy to obtain, there are currently many studies on lattice structures, but relatively few studies on random lattice structures.

In addition, the regular lattice structure has strong anisotropy, which leads to high sensitivity to local defects and loads, that is, when the local position of the regular lattice structure has defects or failures, and the direction or position of the load changes, the regular point The physical properties of the array structure usually have obvious changes, which may even affect the normal use of the components

Furthermore, the connectivity between adjacent microstructures of the regular lattice structure is also difficult to be guaranteed. Usually, there will be mismatched connections or imperfect connections at the interface of adjacent microstructures, which may lead to the failure of components during use. In the middle, a large stress concentration occurs at the interface of adjacent microstructures, which affects the service life of the component

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