Size-Dependent Analysis of Orthotropic Mindlin Nanoplate on Orthotropic Visco-Pasternak Substrate with Consideration of Structural Damping

Document Type: Research Paper

Authors

1 Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran----- Institute of Nanoscience & Nanotechnology, University of Kashan, Kashan, Iran

2 Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran

3 School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran

10.22034/jsm.2019.665162

Abstract

This paper discusses static and dynamic response of nanoplate resting on an orthotropic visco-Pasternak foundation based on Eringen’s nonlocal theory. Graphene sheet modeled as nanoplate which is assumed to be orthotropic and viscoelastic. By considering the Mindlin plate theory and viscoelastic Kelvin-Voigt model, equations of motion are derived using Hamilton’s principle which are then solved analytically by means of Fourier series -Laplace transform method. The parametric study is thoroughly accomplished, concentrating on the influences of size effect, elastic foundation type, structural damping, orthotropy directions and damping coefficient of the foundation, modulus ratio, length to thickness ratio and aspect ratio. Results depict that the structural and foundation damping coefficients are effective parameters on the dynamic response, particularly for large damping coefficients, where response of nanoplate is damped rapidly.  

Keywords

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