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Static, Buckling and Vibration Response Analysis of Three-Layered Functionally Graded Piezoelectric Plate under Thermo-Electric Mechanical Environment

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Abstract

Purpose

The static, buckling, and vibration response of the hybrid ceramic–metal plate, in which properties vary as a Power–law (P-) and Sigmoid law (S-) based distribution subjected to thermo-electro-mechanical loading, has been analyzed.

Methods

The governing equations of motion obtained using first-order shear deformation theory (FSDT) with von-Karman displacement field and the principle of virtual displacements for the hybrid ceramic–metal plate is solved by the nine-node interpolation function with seven degrees of freedom using the finite element method.

Results

It has been observed that the Dimensionless centerline deflection and the stresses of hybrid ceramic-metal plates increase when the temperature difference increases from \(\Delta T = 0{\text{K}}\) to \(\Delta T = 100{\text{K}}\) and with an increase in the volume fraction exponent (\(p\)). There is an increase in the dimensionless frequency and the critical buckling load factor as the boundary condition changes from SSSS to CCCC.

Conclusions

The obtained results are essential for the functionally graded thermoelectric piezoelectric-based smart structures under different operating conditions like thermoelectric and piezoelectric effects.

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Authors and Affiliations

  1. Advanced Mechanical Vibration Lab, Mechanical & Industrial Engineering Department, IIT Roorkee, Roorkee, India

    Pawan Kumar & S. P. Harsha

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  1. Pawan Kumar
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Kumar, P., Harsha, S.P. Static, Buckling and Vibration Response Analysis of Three-Layered Functionally Graded Piezoelectric Plate under Thermo-Electric Mechanical Environment. J. Vib. Eng. Technol. 10, 1561–1598 (2022). https://doi.org/10.1007/s42417-022-00467-2

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  • DOI: https://doi.org/10.1007/s42417-022-00467-2

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