POWER FLOW MODELS AND ANALYSIS OF IN-PLANE WAVES IN FINITE COUPLED THIN PLATES

Abstract

Energy equations analogous to the thermal conductivity equation are derived to examine the propagation of longitudinal waves and in-plane shear waves in finite thin plates. The derived energy equations are expressed with the time- and locally space-averaged energy density, and can be used as the prime equations for the prediction of in-plane structural vibration energy and intensity at middle–high-frequency ranges. To the cases of finite coupled structures connected at a certain angle, the derived in-plane wave energy equation and developed flexural wave energy equation have been applied by changing the frequency and the damping loss factor to evaluate the proposed methods for the predictions of middle–high-frequency vibration energy and intensity distributions.