Last modified: 2013-04-19
Abstract
A energy flow analysis has been developed to analyze the vibration of finite plates with an in-plane point force excitation. The analysis is based on the energy governing equations for in-plane waves (longitudinal and shear waves). Those equations are expressed with the time- and locally space-averaged energy density in the plates at mid-and high- frequency range. To solve the equation for each type of wave, the input power due to the in-plane point force is estimated and decomposed to its contributions to propagation of longitudinal and shear waves. A verification of the study of the power flow analysis is performed by comparing the power flow solutions for the energy density and the intensity in the plates to corresponding analytical solutions. The analytical solutions are evaluated using the wave decomposition of the in-plane vibration of the plates. The dependence of the power flow solutions on frequency and damping is discussed.
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