Analytical modeling for vibrating piezoelectric nanoplates in interaction with inviscid fluid using various modified plate theories

This study aimed to investigate the fluid-structure interaction of a piezoelectric nanoplate using the analytical method. For the purpose of the study, nonlocal elasticity theory is employed for capturing the small-scale effects of the structure. The structure is modeled based upon several theories including classical plate theory, Mindlin plate theory, third-order shear deformation theory and six different types of modified shear deformation theory. These modified shear deformation theories devote various nonlinear distributions for transverse shear stress along the thickness of nanoplate. Two new distributions for transverse shear stress are proposed for the first time in this article. The fluid is considered to be incompressible, inviscid and irrotational. Fluid velocity potential associated with bulging and sloshing modes are obtained with satisfying Laplace's equation and fluid boundary conditions. Governing equations of fluid-structure interaction are derived with Hamilton's principle and Galerkin approach is applied to solve them. After validation of the present study with the available results in the literature, the effects of various parameters such as dimensions of fluid, nonlocal parameter and dimensions of piezoelectric nanoplate on the wet frequencies and mode shapes of the system are illustrated.


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  • Accession Number: 01703306
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Apr 29 2019 9:26AM