关键词: 狭长结构, 周期拼装, 尺寸效应, 拓扑优化, 周期结构

Abstract:

A repetitive module assembling method and a mixed finite element model   were presented where  the computational difficulties, intermediate density and complex geometries existed.The influences of repetitive module number,material volume fraction and beam section sizes on optimization results were   comparatively investigated on the basis of optimization design of  thin-and-long cantilever structure  subjecting to uniform pressures.The results show that optimization configuration with regularity,simplicity and easy to manufacture can be obtained by repetitive module assembling method.Size  effects of periodic thin-and-long structure are  obvious, and  there is an optimal module size for periodic  thin-and-long  structure to maximize stiffness.Regular truss-like configuration of repetitive module is obtained with  concurrent optimization of both module size and layout,based on mixed finite element model. Finally, topology optimization of a thin-and-long trapezoidal cantilever structure was achieved using the proposed method.

Key words: thin-and-long structure, repetitive assembling, size effect, topology optimization, periodic structure