复杂结构中频声振问题的方法研究

The hybrid method for vibro-acoustic problem of the complex structure

在波动理论的基础上,结合统计能量分析原理和有限元方法,建立了复杂结构的分析模型,综合扩散场多自由度互易原理,给出了求解中频问题的混合方法,进而实现刚性构件和柔性构件的耦合计算,给出了复杂结构在外界激励下的声振响应。通过数值计算板结构的传递损失,与传统的SEA及质量效应曲线对比,验证了本文方法的可行性、有效性,同时还数值计算了圆柱壳模型的声辐射,与相应实验进行比较,结果基本上一致,随后分析了造成误差的原因。证明该方法计算复杂结构的高效性与精确性,可以应用于实际工程问题。

Based on wave theory,the analysis model of complex structure is developed by combining with statistical energy analysis and finite element method.The reciprocity relationship for diffuse field is subsequently employed to deduce a hybrid FE-SEA method,which realizes the coupling calculation between stiffness component and flexible one.Then the vibro-acoustic response of complex structure is obtained.Transmission loss of plate is numerical calculated.Through the comparison with results from traditional SEA method and mass law curve,the effectiveness and accuracy of the current method is validated.Meanwhile,the sound radiation of cylindrical shell model is calculated,the result of which is proved to be coincident with corresponding test.Also variance analysis is preceded.It is demonstrated that the hybird method can be applied to practical project for its effectiveness and accuracy in the calculation of complex structure.