期刊
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
卷 73, 期 -, 页码 22-33出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.euromechsol.2018.06.007
关键词
Symplectic method; Forced vibration; Completely free nanoplate; Nonlocal elasticity theory; Viscoelastic foundation
类别
资金
- National Natural Science Foundation of China (NSFC) [11672054]
- National Basic Research Program of China (973 Program) [2014CB046803]
- Natural Science Foundation of Liaoning Province of China [20170540186]
- Fundamental Research Funds for the Central Universities [DUT17LK57, 31020170QD014]
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.
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