Vibration and stability of hybrid plate based on elasticity theory

Hexiang, Lu; Li, Junyong

doi:10.1007/s10483-009-0402-3

Cited by 1 publication

(1 citation statement)

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“…Flexural stability of a homogeneous plate compressed in its plane and lying on an elastic foundation was studied by Morozov and Tovstik [3] . The governing equations of elasticity theory for natural vibration and buckling of anisotropic plate were derived by Lu and Li [4] from Hellinger-Reissner's variational principle with nonlinear strain-displacement relations.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration analysis of laminated composite Mindlin micro/nano-plates resting on orthotropic Pasternak medium using DQM

Arani

Jafari

2015

Appl. Math. Mech.-Engl. Ed.

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The nonlocal nonlinear vibration analysis of embedded laminated microplates resting on an elastic matrix as an orthotropic Pasternak medium is investigated. The small size effects of micro/nano-plate are considered based on the Eringen nonlocal theory. Based on the orthotropic Mindlin plate theory along with the von Kármán geometric nonlinearity and Hamilton's principle, the governing equations are derived. The differential quadrature method (DQM) is applied for obtaining the nonlinear frequency of system. The effects of different parameters such as nonlocal parameters, elastic media, aspect ratios, and boundary conditions are considered on the nonlinear vibration of the micro-plate. Results show that considering elastic medium increases the nonlinear frequency of system. Furthermore, the effect of boundary conditions becomes lower at higher nonlocal parameters.

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Section: Introductionmentioning

confidence: 99%