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《Journal of Huazhong University of Science and Technology(Natural Science Edition)》 2013-11
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Acoustic superposition method in element free spatial discrete domains

Wu Shaowei;Xiang Yang;Xia Xuebao;Wang Xiaoqing;School of Energy and Power Engineering,Wuhan University of Technology;  
A wave superposition method in element free spatial discrete domains was proposed via traditional wave superposition,in which the surface of vibration structure was discretized to an element free domain for wave superposition.The singular nature of Green′s function occurred when the source and receiver points coincided.To overcome the singularity problem,approximate analytic expressions for Green′s function were derived.The nonsingular pressure self term and velocity self term were obtained.The source strength could be calculated according to the vibration velocity boundary conditions,and then the acoustic field pressures were obtained.By using pulsating sphere source having analytic solution as calculating example,the method was validated.The derived analytic velocity self term and pressure self term are well agreed with self term numerical solutions obtained from its analytic acoustic pressure and radiated resistance.These analytic expressions can be used in acoustic field calculation.
【Fund】: 国家自然科学基金项目资助(51079118);; 武汉理工大学自主创新研究基金资助项目(135105006)
【CateGory Index】: O422.6
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