Nonliner vibrations of FGM shallow shells subjected to random excitation in thermal environment

Abstract eng:
In this paper, nonlinear Vibrations of functionally graded (FGM) shallow shells under random excitation in thermal environment are studied using multimodal finite element method (FEM). The material properties which are function of temperature, vary in the thickness direction based on a simple power law distribution. The equations of motion are obtained first in the structural node degrees of freedom (DOF) based on higher order shear deformation theory (HST) using an improved element. Then using modal reduction method the order of equations of motion are reduced. Three buckled equilibrium positions (BEPs) are obtained for FGM shallow shells under uniform temperature rise. The effects of various parameters including sound pressure level (SPL), initial condition, and radii of curvature on the nonlinear behavior of the system are studied. It is shown that FGM shallow shells demonstrate a snap through behavior under random load in thermal environment.

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