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《Acta Mechanica Solida Sinica》 2004-01
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WAVE SUPERPOSITION METHOD BASED ON VIRTUAL SOURCE BOUNDARY WITH COMPLEX RADIUS VECTOR FOR SOLVING ACOUSTIC RADIATION PROBLEMS

Xiang Yu 1,2 Huang Yuying 1 ( 1 College of Civil Engineering and Mechanics, Huazhong University of Science & Technology, Wuhan, 430074) ( 2 Department of Automobile Engineering, Guangxi University of Technology, Liuzhou, 545006)  
By virtue of the comparability between the wave superposition method and the dynamic analysis of structures, a general format to overcome the non-uniqueness of solution induced by the wave superposition method at the eigenfrequencies of the corresponding interior problems is proposed in this paper. By adding appropriate damp to the virtual source system of the wave superposition method, the unique solutions for all wavenumbers can be ensured. Based on this thought, a novel method--wave superposition method with complex radius vector is constructed. Not only the computational time of this method is approximately equal to that of the standard wave superposition method, but also the accuracy is much higher comparing with the other correlative methods. At last, taking pulsating sphere and oscillating sphere as examples, the results of calculation show that the present method can overcome the non-uniqueness problem effectively.
【Fund】: 国家自然科学基金 ( 10 172 0 3 8)资助
【CateGory Index】: O302
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