Noon Digital Resources
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Random Response of Shape Memory Alloy Hybrid Composite Plates subject to White-Gaussian Noise and Thermal Environment
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Abstract
The random response and thermal buckling of a functionally graded
material (FGM) plate subjected to combined thermal and acoustic loads are
investigated using a finite element model based on the thin plate theory and
von Karman strain-displacement relations to account for moderately large
deflection. The thermal load is assumed to be steady state constant
temperature distribution, and the acoustic excitation is considered to be a
stationary Gaussian pressure with zero mean and uniform magnitude over the
plate surface. The governing nonlinear equations are obtained using the
principal of virtual work adopting an approach based on the thermal strain
being a cumulative physical quantity to account for temperature dependent
material properties. The static nonlinear equations are solved by Newton-Raphson
numerical technique to get the thermal post-buckling deflection. The dynamic
nonlinear equations of motion are transferred to modal coordinates to reduce
the computational efforts. The Newmark implicit integration scheme is
employed to solve the second order ordinary differential equations of
motion. Finally, the buckling temperature, post-buckling deflection and the
random response of an FGM panel are presented, illustrating the effect of
volume fraction exponent, sound pressure level and temperature rise on the
panel response.
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