Hygrothermally Induced Nonlinear Free Vibration Response of Laminated Composite Plates with Random System Properties: Stochastic Finite Element Micromechanical Model Investigation

Rajesh Kumar


This paper presents the hygrothermally induced nonlinear free vibration response of laminated composite plate with random system properties using micromechanical based stochastic finite element model subjected to uniform temperature and moisture changes. System properties such as material properties of each constituent’s material, geometric properties, coefficients of hygroscopic expansion and thermal expansion coefficients are taken as independent random input variables. The basic formulation is based on higher order shear deformation theory (HSDT) with von-Karman nonlinear strains using modified C0 continuity. A direct iterative based nonlinear finite element method in conjunction with first order perturbation technique (FOPT) developed earlier for the composite plate is extended to compute the second order statistics (mean and coefficient of variation) of the nonlinear fundamental frequency. The present outlined approach has been validated with those results available in the literature and independent Monte Carlo simulation (MCS).

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