Topological Optimisation of Sound Absorbing Materials Using an Isogeometric Boundary Element Method Through Subdivision Surfaces

Liu, Z. , Chen, L. and Lu, C. (2019) Topological Optimisation of Sound Absorbing Materials Using an Isogeometric Boundary Element Method Through Subdivision Surfaces. UKACM 2019, London, UK, 10-12 Apr 2019.

Abstract

A topology optimisation approach based on the boundary element method (BEM) with subdivision surfaces is proposed for the optimal distribution of sound absorbing material on structural surfaces. The sound absorbing materi- als used here are porous materials. The materials are passive mediums which can reduce acoustic energy by transferring it into heat. They are widely used in many manufacturing industries, e.g. automotive, electronic and electrical equip- ment and building industries. The proposed optimisation method aims to find a cost-efficient distribution of sound absorbing material for a given structural design. The sound absorbing materials are mostly applied on the surfaces of the structures. The BEM solves integral equations constructed only on the bound- aries. Moreover, BEM automatically satisfies the Sommerfeld boundary con- dition which has advantages over other methods in handling exterior acoustic scattering problems. Thus, the BEM is the most appropriate numerical method for this optimisation analysis. A collocation approach is adopted to formulate the boundary integral equations in order to reduce the computational time. The subdivision surfaces provides a multi-resolution discretisation for optimisa- tion. The mesh can be refined without changing the geometry which eliminates the mesh regeneration steps in the conventional workflow and the optimisation efficiency is dramatically increased. The adjoint variable method is used to com- pute sensitivities and the method of moving asymptotes optimization algorithm is adopted to find the optimal solution.

• Item Type: Conference or Workshop Item
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Liu, Dr Zhaowei
• Authors: Liu, Z., Chen, L., and Lu, C.
• Subjects: T Technology > TA Engineering (General). Civil engineering (General)
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment

Related URLs

• Organisation

Project Code	Award No	Project Name	Principal Investigator	Funder's Name	Funder Ref	Lead Dept
300129	0	Strategic Support Package: Engineering of Active Materials by Multiscale/Multiphysics Computational Mechanics	Christopher Pearce	Engineering and Physical Sciences Research Council (EPSRC)	EP/R008531/1	ENG - Infrastructure & Environment