Analytical And Finite Element Studies on Free Vibration of Aluminum Alloy Plate and Control Passive with Damping Orthotropic Patches
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Abstract
This paper presents studies made on fundamental flexural frequencies of isotropic alloy aluminum rectangular thin plate with various boundary conditions. The first four vibration mode and corresponding frequencies and mode shapes of this plate were obtained by using analytical method, based on Rayleigh-Ritz energy approach and finite element method (FEM) by using ABAQUS code. The convergency and accuracy of the numerical solution was examined. A comparison was made between the analytical values and the finite element solution. The effect of geometrical parameters on natural vibrations of the isotropic rectangular plate was investigated. The values of frequency parameter of the plate having different (length/width) ratios in case of (a/b³1) were studied. The results obtained by the analytical approach are in good agreement with the FE solutions. Also, the paper presents simulations results of testing of the plate with passive vibration control realized through patches bonded to the plate.
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