摘要
该分析涉及到计算在某一点上耦合的任意数量的结构分量之间的弹性波传输系数和耦合损耗因子。给出了解决该问题的一般方法,并证明了所产生的耦合损失因子满足互易性。该方法的一个关键方面是考虑二维分量中的圆柱波,这是建立在最近关于用圆柱坐标表示的漫射波场的能量学的结果之上的。结合入射波类型及入射波幅度计算出各板的响应位移,然后得到对应的响应波幅度,根据波幅度及类型可计算出波功率,进而计算出传递系数。根据净功率流表达式,结合模态密度变化得到子系统之间传递的耦合损耗因子,同时讨论了入射波是板入射和梁入射的情况。给出了梁和薄板构件的具体方法,并给出了一些实例。
This analysis is concerned with the calculation of the elastic wave transmission coefficients and cou-pling loss factors among an arbitrary number of structural components that are coupled at a point. A general approach to the problem is presented and it is demonstrated that the resulting coupling loss factors satisfy reciprocity. A key aspect of the method is the consideration of cylindrical waves in two-dimensional components, and this builds upon recent results regarding the energetics of diffuse wavefields when expressed in cylindrical coordinates. The response displacement of each plate is calculated combined with the incident wave type and the incident wave amplitude, and then the corresponding response wave amplitude is obtained. The wave power can be calculated according to the wave amplitude and type, and then the transmission coefficient can be calculated. We discuss the coupling loss factor of the transmission between subsystems where the incident wave is plate incident and beam incident. Specific details of the method are given for beam and thin plate components, and a number of examples are presented.
出处
《应用数学进展》
2022年第6期3986-4002,共17页
Advances in Applied Mathematics
