Theoretical model demonstrates natural frequency responses in elastically restrained porous annular plates, highlighting accurate wave-based structural analysis.
Free axisymmetric vibration analysis of a porous annular plate is presented in this paper.Both the edges of the plate are elastically restrained against rotation and translation.The classical plate theory is used to develop the mathematical model.The mechanical properties are varying in thickness direction.The Haar wavelets are used in the analysis.The highest order derivative is approximated by Haar wavelets and a generalized eigenvalue problem is obtained.The first three frequencies for different combinations of restraint parameters, radii ratio and porosity coefficient are obtained.The present analysis is validated by a convergence study.The frequencies for classical boundary conditions are obtained by assuming particular values of restraint parameters and compared with those available in the literature.A close agreement of results is observed.
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Yakshansh Kumar (2024) studied this question.
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