Free Vibration of Orthotropic Thin Plates with Cantilever and Clamped Boundary Conditions
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Abstract
The vibration of the delaminated composites concerns the structure safety and dynamic behavior of the composite structures as it can be vital in the presence of delamination. In this research paper, analytical analysis, experimental work and finite element simulations are combined to analyze the vibration behavior at different delamination size, different stacking sequences. The boundary condition in this investigation were all sides clamped and cantilever supported. Analytical results were obtained using the first order shear deformation theory. Rayleigh-Ritz method was used to derive the governing equations to find the natural frequencies and the results were computed using Matlab tool. Experiments have been conducted to study the vibration characteristics of carbon fiber reinforced polymer (CFRP) composite plate. The finite element analysis was done using software package, ANSYS is used to fetch the vibration response of carbon fiber reinforced polymer composite plate for CCCC boundary conditions, stacking sequences and delamination sizes. The results from analytical, experimental, and finite element analysis were then compared and verified that the maximum percentage of error is ignorable. It is seen that the natural frequencies of carbon fiber reinforced polymer decreased with an increase in delamination size. Stacking sequence of (0/90/45/90) showed higher values of natural frequencies subjected to all-sided clamped boundary conditions. It was interesting to know that there were small differences in values of natural frequencies for lower modes, but the difference gradually increased in case of higher modes.
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