Size-dependent vibration analysis of a three-layered porous rectangular nano plate with piezo-electromagnetic face sheets subjected to pre loads based on SSDT

ABSTRACT

In the present research vibration of a porous rectangular plate which is located between two piezo-electromagnetic layers based on two variables sinusoidal shear deformation plate theory and according to nonlocal theory is investigated. The plate is resting on Winkler–Pasternak foundation and was subjected to pre loads. The motion equations have been obtained using Hamilton principle and are solved using analytical Navier's solution method. The effects of porosity coefficient, pores distribution, nonlocal parameter, pre load values, foundation constants and geometric size of the plate have been discussed in details. The results can be used to design more efficient sensors and actuators.

KEYWORDS:

• Free vibration
• Nonlocal theory
• porous material
• piezo-electromagnetic face sheet
• Pasternak foundation

Acknowledgments

The authors would like to thank the reviewers for their valuable comments and suggestions to improve the clarity of this study. The authors are grateful to University of Kashan for supporting this work by Grant No. 785412/1. They would also like to thank the Iranian Nanotechnology Development Committee for their financial support.