小尺度封闭空间无网格Galerkin声场数值计算方法  

An Effective Galerkin Meshless Model for Calculating Sound Fields in Arbitrarily Shaped Enclosures

作　　者：王海涛[1] 曾向阳[1] 陈玲[2] 

机构地区：[1]西北工业大学航海学院,陕西西安710072 [2]上海飞机设计研究院,上海200232

出　　处：《西北工业大学学报》2012年第1期102-107,共6页Journal of Northwestern Polytechnical University

基　　金：航空科学基金(20091553018);西北工业大学基础研究基金(JC200925)资助

摘　　要：文章将无网格法引入小尺度封闭空间声场的计算。首先推导了适用于任意形状小尺度封闭空间的无网格Galerkin声场数值计算模型。在模型中,利用Galerkin型加权残量法推导了计算节点声压的系统方程,根据移动最小二乘近似法构造了无网格形函数,并给出了积分运算方案;然后对一个矩形封闭空间的声传递函数及混响时间进行了计算,通过与理论计算结果、SYSNOISE计算结果及其文献实验结果对比,证明了模型的正确性;最后对一个实际机舱进行了建模计算,并与测量结果进行了比较,证明了模型对较复杂结构的正确性及适用性。Sections 1 and 2 of the full paper explains our effective model as mentioned in the title. Their core con- sists of： ＂In the model, the system equation for calculating the sound pressure of nodes is derived according to Galerkin weighted residual method. The shape functions are constructed with the moving least squares method and the methods for calculating the integrations are introduced in detail. Then, the acoustic transfer function and reverberation time of a rectangular enclosure are calculated with the model and compared with the results obtained by the theoretical method, SYSNOISE and measurements respectively. ＂ Section 2 uses our model to calculate the sound field in an airplane cabin. The results, presented in Table 1 and Fig 8, and their analysis show preliminarily that the accuracy and the applicability of our method for arbitrarily shaped enclosures are validated.

关 键 词：无网格法 小尺度封闭空间 声场计算 伽辽金法 实际机舱 

分 类 号：TU112[建筑科学—建筑理论]