摘要: Nonlinear oscillations of viscoelastic simply supported rectangular plates are studied by assuming the Voigt–Kelvin constitutive model. Using Hamilton's principle in conjunction with kinematics associated Kirchhoff's plate model, governing equations motion including effect damping represented terms transversal deflection and a stress function. Utilizing Bubnov–Galerkin method, nonlinear partial differential reduced to an ordinary equation which is geometrically approximate construction Poincare maps. Explicit expressions given for periodic solutions.
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