Abstract
The free vibration analysis of functionally graded cylindrical and spherical shell panels with piezoelectric layers is studied using the finite element method based on a higher order shear deformation theory. An eight noded degenerated isoparametric shell element with nine degrees of freedom at each node is considered. Results are presented for the variation of the fundamental natural frequency of functionally graded cylindrical and spherical shell panels integrated with piezoelectric layers with the increase in thickness of piezoelectric layer and volume fraction exponent for simply supported and clamped boundary conditions.
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Yamini Poorna, N., Sai Ram, K.S. Free vibration of functionally graded cylindrical and spherical shell panels integrated with piezoelectric layers. ISSS J Micro Smart Syst 8, 113–125 (2019). https://doi.org/10.1007/s41683-019-00041-1
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DOI: https://doi.org/10.1007/s41683-019-00041-1