无单元空间离散域的声波叠加方法  

Acoustic superposition method in element free spatial discrete domains

作　　者：吴绍维[1] 向阳[1] 夏雪宝[1] 王校青[1] 

机构地区：[1]武汉理工大学能源与动力工程学院,湖北武汉430063

出　　处：《华中科技大学学报（自然科学版）》2013年第11期22-25,共4页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：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)

摘　　要：在传统波叠加法的基础上将无单元方法与波叠加法相结合,针对振动结构辐射表面离散化域,形成无单元空间离散域波叠加计算方法.找到产生奇异性的那一项格林函数的近似解析表达,以克服当声源点与接收点重合时格林函数的奇异性问题,得到声压自辐射项和速度自辐射项的非奇异表达.通过速度边界条件求解声源强度及声压.经具有解析解的脉动球源实例验证,结果表明该近似表达具有较好的一致性,可用于声场计算.A wave superposition method in element free spatial discrete domains was proposed via tra- ditional wave superposition, in which the surface of vibration structure was discretized to an element free domain for wave superposition. The singular nature of Greenrs 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 ob- tained. The source strength could be calculated according to the vibration velocity boundary condi- tions, 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 obi：ained from its ana- lytic acoustic pressure and radiated resistance. These analytic expressions can be used in acoustic field calculation.

关 键 词：声波叠加 无单元 离散域 格林函数 奇异性 

分 类 号：O422.6[理学—声学]