Multi-resolution Topology Optimization Method for Composite Structures with In-plane Periodicity
At a microscopic level,composite materials exhibit intricate structural designs,necessita-ting detailed finite element mesh discretization for their analysis and design,leading to extensive computa-tional demands.While the in-plane periodic structure,a typical composite structure,can sustain various directional forces at a macroscopic level,defining its performance remains challenging and its design and a-nalysis are complex.This paper introduces a method for optimizing the topology of in-plane periodic struc-tures based on thick plate theory and a multi-resolution meshing strategy.Initially,a coarse mesh is used to distinguish between macro and micro configurations,address the micro boundary value problem,and perform a similar analysis of the mechanical characteristics of the irregular single cell;subsequently,the macroscopic boundary value problems are solved using uniform equivalent properties,and a fine mesh is employed to revise the design variables and chart the density variables.It is found that assuming a thick plate that accounts for out-of-plane shear deformation makes the two-scale topology optimization design closer to real load-bearing scenarios.Employing a multi-resolution meshing strategy circumvents the issue of limited solvable problem size caused by excessive finite element computation,while maintaining the res-olution of the optimized configuration.
万方数据
维普
