Nonlinear vibration of viscoelastic sandwich plates under narrow-band random excitations

DOI10.1007/s11071-013-0956-yzbMath1281.74022OpenAlexW2039294106MaRDI QIDQ2436960

S. Mahmoudkhani, H. Haddadpour

Publication date: 27 February 2014

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-013-0956-y

zbMATH Keywords

method of multiple scalesprobability densitynonlinear random vibrationFPK equationmoderate transverse shear strain and rotationviscoelastic sandwich plates

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Plates (74K20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Random vibrations in dynamical problems in solid mechanics (74H50)

Related Items (6)

Legendre wavelets Galerkin method for solving nonlinear stochastic integral equations ⋮ Nonlinear vibration of viscoelastic sandwich plates under narrow-band random excitations ⋮ Chaotic analysis of Kelvin-Voigt viscoelastic plates under combined transverse periodic and white noise excitation: an analytic approach ⋮ Nonlinear damping in nonlinear vibrations of rectangular plates: derivation from viscoelasticity and experimental validation ⋮ Nonlinear vibration of a beam with asymmetric elastic supports ⋮ Nonlinear-forced vibrations of piezoelectrically actuated viscoelastic cantilevers

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