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Nonlinear Panel Flutter with Temperature Effects of Functionally Graded Material Panels with Temperature-Dependent Materia...

H. Ibrahim, M. Tawfik, and M. Al-Ajmi
Nonlinear Panel Flutter with Temperature Effects of Functionally Graded Material Panels with Temperature-Dependent Material Properties
Computational Mechanics, Vol. 41, No. 2, January 2008.
DOI 10.1007/s00466-007-0188-4

Abstract

The nonlinear flutter and thermal buckling of an FGM panel under the combined effect of elevated temperature conditions and aerodynamic loading is investigated using a finite element model based on the thin plate theory and von Karman strain-displacement relations to account for large deflection. The aerodynamic pressure is modeled using the quasi-steady first order piston theory. 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. This system of nonlinear equations is solved by Newton-Raphson numerical technique. It is found that the temperature increase has an adverse effect on the FGM panel flutter characteristics through decreasing the critical dynamic pressure. Decreasing the volume fraction enhances flutter characteristics but this is limited by structural integrity aspect. The presence of aerodynamic flow results in postponing the buckling temperature and in suppressing the post buckling deflection. The clamp boundary condition is found to have better response than the simply supported one.

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