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双激励情况下结构-声耦合系统的声场研究
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摘要
本文利用WBM方法,建立了一个双激励情况下的三维结构-声耦合系统模型。与基于单元的方法不同,此法将求解域内的动力学变量展开成精确满足控制方程齐次部分的全局波函数,和满足控制方程非齐次部分的特解函数的线性叠加,波函数的系数通过对边界条件进行加权余量积分得到,因此结构和声域都不再需要划分成更小的单元以及在每个单元内采用简单、近似的形函数来求解动力学方程。以一个双激励三维结构-声学空腔结构为研究实例,验证了模型的有效性,并讨论了吸声材料和阻尼对声场分布的影响规律
Based on wave-based method, a model has been developed for dynamic analysis of 3D coupled structure-acoustic systems under two exciting inputs. In contrast with the finite element method, in which the acoustic and structure domains are discretized into small elements and the dynamic equations are solved within each element using simple, approximate shape functions, the dynamic field variables are expressed as global wave function expansions, which exactly satisfy the governing dynamic equations. The contributions of the wave functions to the coupled structure-acoustic response result from an integral formulation of the boundary conditions. Based on a 3D structure-acoustic cavity example model, the validation of the method is proved, and the influence of damping and absorption to the sound filed distribution are discussed.
引文
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