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 traditional composite plate
impregnated with pre-strained shape memory alloy (SMA) fibers plate
subjected to combined thermal and acoustic loads are investigated using a
finite element model based on the first order shear deformable 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 an integral quantity of the thermal expansion coefficient with respect
to temperature 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 a
SMA hybrid composite plate panel are presented, illustrating the effect of
SMA volume fraction, pre-strain, sound pressure level and temperature rise
on the panel response.
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