Microstructural topology optimization for minimizing the sound pressure level of structural–acoustic coupled systems with multi-scale random parameters. Issue 7 (3rd July 2019)

• Record Type: Journal Article
• Authors: Yin, Shengwen; Chen, Ning; Yu, Dejie; Ma, Zhengdong
• Is Part Of: Engineering optimization. Volume 51:Issue 7(2019)
• Page Start: 1185
• Page End: 1206
• Publication Date: 2019-07-03
• Subjects: Robust microstructural topology optimization -- multi-scale random uncertainty -- structural–acoustic coupled system -- perturbation method -- homogenization method; Engineering design -- Periodicals; Mathematical optimization -- Periodicals; 620.0042
• DOI: 10.1080/0305215X.2018.1517259
• Languages: English
• ISSNs: 0305-215X

Abstract

ABSTRACT: The main aim of this article is to present a robust microstructural topology optimization methodology for structural–acoustic coupled systems with multi-scale random parameters. During the microstructural topology optimization, both the uncertainty at the macro-scale, which comes from the physical parameters of the acoustic medium or the external load, and the uncertainty existing in the constituent material properties of the microstructure at the micro-scale are considered as random parameters. A homogenization-based probabilistic finite element method (HPFEM) is first developed for quantifying the structural–acoustic system with multi-scale random parameters. The use of the HPFEM transforms the problem of microstructural topology optimization with multi-scale random parameters to an augmented deterministic microstructural topology optimization problem. This provides a computationally cheap alternative to Monte Carlo-based optimization algorithms. A numerical example of a hexahedral box is given to demonstrate the efficiency of the proposed method.