A Coupled Variable Order Acoustic Wave Envelope Element-finite Element Method for Sound Radiation in Infinite Domain

doi:10.3901/JME.2018.07.074

Abstract

Abstract: A coupled variable order acoustic wave envelope element-finite element method for sound radiation in infinite domain is studied based on wave envelope element method and finite element method. The coupling formula for predicting sound pressure is theoretically derived. In this method, the infinite domain exterior to structure is divided into inner region meshed with finite element and outer region discretized with wave envelope element. To improve computational efficiency in frequency range, the stiffness matrix corresponding to outer region is decomposed according to its characteristics to make the stiffness matrix in total coupled equation independent on the frequency. A hybrid adaptive Gauss integral is devised to calculate the matrix elements which have great effect on the prediction accuracy of the pressure. Examples of acoustic radiations from a uniformly pulsating sphere and an infinitely long cylinder indicate that the computational efficiency is improved significantly based on the decomposition. Simulations and experiments are performed to test the coupled method. The results show that the method has good accuracy and convergence.

Key words: finite element, infinite domain, sound radiation, wave envelope element

CLC Number:

O429

WU Shaowei, XIANG Yang, ZHANG Bo. A Coupled Variable Order Acoustic Wave Envelope Element-finite Element Method for Sound Radiation in Infinite Domain[J]. Journal of Mechanical Engineering, 2018, 54(7): 74-86.

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