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Indexed by:期刊论文

Date of Publication:2019-01-01

Journal:EUROPEAN JOURNAL OF MECHANICS A-SOLIDS

Included Journals:SCIE、EI、Scopus

Volume:73

Page Number:22-33

ISSN No.:0997-7538

Key Words:Symplectic method; Forced vibration; Completely free nanoplate; Nonlocal elasticity theory; Viscoelastic foundation

Abstract:Exact solutions for forced vibration of completely free orthotropic rectangular nanoplates resting on viscoelastic foundations are obtained by an analytical Hamiltonian-based method. Eringen's nonlocal theory is employed to take into account the small size effect. In the present method, a Hamiltonian system for the vibration of the orthotropic rectangular nanoplate is established by introducing a new total unknown vector. The vibration analysis is reduced to an eigenproblem in the symplectic space. Closed-form solutions of the completely free nanoplate are derived by using the solution of a guided supported nanoplate and a superposition of boundaries. Numerical examples including comparison studies are presented to illustrate the efficiency and accuracy of the proposed method. A detailed parametric study and some new results are provided also.