能量有限元法是一种有效的中高频动力学分析方法,当采用该方法对耦合板类结构进行分析时,需要研究振动能量在各板传递情况,获得能量传递系数并建立能量耦合矩阵。基于板类结构中高频振动时的能量传递特性,将有限尺寸耦合板结构等效为与之具有相同参数的半无限结构,并采用波动方法对任意耦合角度下耦合板的能量传递系数进行研究。考虑到多板耦合结构中的波型转换现象,分别研究弯曲波、纵波以及剪切波入射下的耦合边界处能量传递特性。基于能量有限元法中的混响场假设,对特定入射角度下的能量传递系数进行处理使之成为与能量有限元法基本假设相适应的全局能量传递系数。研究不同波型入射情况下耦合板的耦合角度、外界激励频率和板厚对全局能量传递系数和波型转换能量比的影响规律。可用于确定在考虑波型转换情况下任意角度耦合板的能量传递系数,是能量有限元法在耦合板结构上应用的重要前提。
Energy finite element analysis (EFEA) is an effective dynamic analysis method in mid to high frequencies. When EFEA is adopted to analyze the coupled plate structures, the study on vibration energy transfer is necessary, and the energy transmission coefficients (ETCs) are required to build the energy coupling matrix. On the basis of the structures' impendenee characteristic in mid to high frequencies, the wave method is performed to acquire the ETCs of coupled plates with arbitrary coupling angle by replacing finite coupled plates by semi-infinite coupled plates with same parameters. Considering of the wave type conversions in coupled plates, the characteristics of the energy transmission are investigated in ease of flexural, longitudinal and shear waves impinging, respectively. Based on the reverberation field assumption, the ETCs of certain incident angle are processed to make them compatible with the main assumption of EFEA. The influences of coupling angle, excitation frequency, and plate's thickness on diffuse energy transmission coefficients (DETCs) and energy transmission ratio with the wave type conversion are studied. The research can be used to obtain the ETCs of coupled plates with arbitrary coupling angles when the wave type conversion is considered, and it is the prerequisite for the application of EFEA as well.