Noon Digital Resources
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Abstract
A traditional composite plate impregnated with pre-strained shape memory
alloy (SMA) fibers and subject to combined thermal and aerodynamic loads is
investigated, to demonstrate the effectiveness of using the SMA fiber
embeddings in improving the dynamic response of composite plates. The
problem investigated is the nonlinear flutter limit-cycle and chaotic
oscillations at elevated temperatures. A nonlinear finite element model
based on the first-order shear deformable plate theory is derived. von
Karman strain displacement relations are utilized to account for geometric
nonlinearity. Aerodynamic pressure is modeled using the quasi-steady
first-order piston theory. The governing equations are obtained using the
principle of virtual work based on thermal strain being a cumulative
physical quantity. Newton-Raphson iteration is employed to obtain the
dynamic response at each time step of the Newmark numerical integration
scheme. A time domain method along with modal transformation is applied to
numerically investigate periodic, non-periodic, and chaotic limit-cycle
oscillations. The results show that the amplitude of the limit-cycle
oscillation is highly decreased by using SMA fiber embeddings.
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