A bi‐directional evolutionary structural optimization algorithm for mass minimization with multiple structural constraints

Author(s):  
David J. Munk
2013 ◽  
Vol 438-439 ◽  
pp. 445-450 ◽  
Author(s):  
Xiao Lei Yan ◽  
Xiao Dong Huang ◽  
Yi Min Xie

Different from the independent optimization of macrostructures or materials, a two-scale topology optimization algorithm is developed in this paper based on the bi-directional evolutionary structural optimization (BESO) method for concurrently designing a macrostructure and its composite microstructure. The objective is to minimize the mean compliance of the structure which is composed of a two-phase composite. The effective properties of the composite are calculated through the homogenization method and integrated into the finite element analysis of the structure. Sensitivity analysis for the structure and microstructure is conducted by the adjoint method. Based on the derived sensitivity numbers, the BESO approach is applied for iteratively updating the topologies for both the structure at the macro level and the microstructure of composite at the micro level. Numerical examples are presented to validate the effectiveness of the proposed optimization algorithm.


Author(s):  
Marc J. Richard ◽  
Mohamed Bouazara ◽  
Laouhari Khadir ◽  
Guoqiang Q. Cai

Stringent tolerances on mechanical components have created increasingly severe demands on the quality of new mechanical designs. The mathematical models used to analyze the various types of mechanical systems these days need to incorporate an optimization algorithm capable of minimizing the levels of vibrations coming from varied sources. The suggested method is based on the parallel combination of three methods; the Rayleigh-Ritz approach (to determine the first eigenfrequencies) which is incorporated into an efficient multicriterion optimization process based on the ESO (Evolutionary Structural Optimization) method and the finite element software ABAQUS. The analytical resolution and the numerical calculations of the mechanical component are, finally, validated by an experimental set-up which exploits a frequency analyser, acceleration sensors and an excitation hammer. The effectiveness of this approach is also demonstrated in the analysis of an upper car suspension arm. By gradually removing material from the initial car suspension design, the frequency of the component can be controlled in order to optimize the structural constraints.


2021 ◽  
Vol 147 (10) ◽  
pp. 04021164
Author(s):  
Gérard Jacques Poitras ◽  
Gabriel Cormier ◽  
Armel Stanislas Nabolle

Sign in / Sign up

Export Citation Format

Share Document