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Structural–acoustic sensitivity analysis of radiated sound power using a finite element/ discontinuous fast multipole boundary element scheme
Authors:Leilei Chen  Haibo Chen  Changjun Zheng  Steffen Marburg
Institution:1. College of Civil Engineering, Xinyang Normal University, Xinyang, Henan, China;2. CAS Key Laboratory of Mechanical Behavior and Design of Materials, Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui, China;3. Institute of Sound and Vibration Research, Hefei University of Technology, Hefei, Anhui, China;4. Institute of Vibroacoustics of Vehicles and Machines, Faculty of Mechanical Engineering, Technical University of Munich, 85748 Garching bei München, Germany
Abstract:The complete interaction between the structural domain and the acoustic domain needs to be considered in many engineering problems, especially for the acoustic analysis concerning thin structures immersed in water. This study employs the finite element method to model the structural parts and the fast multipole boundary element method to model the exterior acoustic domain. Discontinuous higher‐order boundary elements are developed for the acoustic domain to achieve higher accuracy in the coupling analysis. Structural–acoustic design sensitivity analysis can provide insights into the effects of design variables on radiated acoustic performance and thus is important to the structural–acoustic design and optimization processes. This study is the first to formulate equations for sound power sensitivity on structural surfaces based on an adjoint operator approach and equations for sound power sensitivity on arbitrary closed surfaces around the radiator based on the direct differentiation approach. The design variables include fluid density, structural density, Poisson's ratio, Young's modulus, and structural shape/size. A numerical example is presented to demonstrate the accuracy and validity of the proposed algorithm. Different types of coupled continuous and discontinuous boundary elements with finite elements are used for the numerical solution, and the performances of the different types of finite element/continuous and discontinuous boundary element coupling are presented and compared in detail. Copyright © 2016 John Wiley & Sons, Ltd.
Keywords:acoustic–  structure interaction  FEM/FMBEM coupling  design sensitivity analysis  discontinuous boundary element  radiated sound power
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