Journal
MECCANICA
Volume 52, Issue 4-5, Pages 1063-1077Publisher
SPRINGER
DOI: 10.1007/s11012-016-0432-0
Keywords
Free vibration; Viscoelastic nanoplates; Non-uniform geometry; Nonlocal first-order shear deformation theory
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In this paper, vibration features of variable thickness rectangular viscoelastic nanoplates are studied. In order to consider the small-scale and the transverse shear deformation effects, governing differential equations and relevant boundary conditions are adopted based on the nonlocal elasticity theory in relation to first-order shear deformation theory of plates. The numerical solution for the nanoplate vibration frequencies is proposed applying the differential quadrature method, as a simple, effective and precise numerical tool. The present formulation and solution method are validated showing their fast convergence rate and comparison of results, in limited cases, using the available literature. Excellent agreement between the obtained and available results is observed. The effects of structural damping coefficient, boundary conditions, aspect ratio, nonlocal and variable thickness parameters on viscoelastic nanoplates vibration behaviour are studied in detail.
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