Concurrent topology optimization with uniform microstructure for minimizing dynamic response in the time domain

• Published in: Computers & structures Vol. 222; pp. 98 - 117
• Main Authors: Zhao, Junpeng, Yoon, Heonjun, Youn, Byeng D.
• Format: Journal Article
• Language: English
• Published: New York Elsevier Ltd 01.10.2019; Elsevier BV
• Subjects: Asymptotes; Concurrent topology optimization; Decoupled sensitivity analysis; Dynamic loads; Dynamic response; Dynamic response minimization; Economic models; Lightweight design; Macrostructure; Microstructure; Mode acceleration; Multiscale structure; Numerical homogenization; Optimization; Sensitivity analysis; Sensitivity enhancement; Structural hierarchy; Time domain analysis; Topology optimization; Multiscale structure; Concurrent topology optimization; Decoupled sensitivity analysis; Numerical homogenization; Lightweight design; Dynamic response minimization
• ISSN: 0045-7949; 1879-2243
• DOI: 10.1016/j.compstruc.2019.07.008

•An enhanced decoupled sensitivity analysis method for dynamic response problems.•Black-and-white designs for both the macrostructure and material microstructure.•Discoveries in concurrent topology optimization for dynamic response problems.•Potential of concurrent topology optimization for designing lightweight structures. This paper aims to develop an efficient concurrent topology optimization approach for minimizing the maximum dynamic response of two-scale hierarchical structures in the time domain. Compared with statics problems, the dynamic response problems usually involve many time steps, which may lead to intensive computational burdens in both dynamic response and sensitivity analyses. This study thus proposes an enhanced decoupled sensitivity analysis method for concurrent topology optimization of the time-domain dynamic response problems. The mode acceleration method is incorporated for efficient dynamic response analysis. The three-field density-based approach is employed for topology optimization of macrostructure and microstructure. A previously proposed aggregation functional is employed to approximate the maximum dynamic response of the structure. The method of moving asymptotes (MMA) is employed to update the design variables. Three numerical examples are presented to demonstrate the effectiveness of the proposed approach. Some discoveries regarding the concurrent topology optimization for dynamics problems are presented and discussed. Furthermore, the potential of the concurrent topology optimization formulation for designing lightweight structures under dynamic loads is also demonstrated.