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    Nonlinear Aero-Thermo Elastic Oscillation of Inextensible Functionally Graded Beams Subject to Concentrated Harmonic Load Based on the Nonlinear Piston Theory
    (Springer Heidelberg, 2025) Alimoradzadeh, Mehdi; Akbas, Seref Doguscan
    PurposeThis paper presents nonlinear aero-thermo elastic oscillation of inextensible functionally graded (FG) beams with temperature dependent properties subject to concentrated harmonic point load with viscous aerodynamic heating by using nonlinear piston theory.MethodsGoverning nonlinear equations are derived based on Euler-Bernoulli-inextensible beam theory. Properties of FG material are considered as temperature dependent and expressed by nonlinear equation of thermoplastic material. Galerkin's method is utilized to discretize governing nonlinear partial differential equation in form of a nonlinear ordinary differential equation. Then, obtained nonlinear differential equation is solved analytically by using method of multiple time scales.ResultsNonlinear dynamic behavior of three different material constituent for FG beam includes combinations of Stainless Steel with Silicon , Stainless Steel with Zirconia and Titanium alloy with Zirconia is investigated.ConclusionsThis investigation can be helpful for mechanical analysis of structural elements under aero-thermal conditions.
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    The influence of temperature on nonlinear vibration of laminated composite beams covered by FGM layers embedded on nonlinear viscoelastic foundation subjected to moving load
    (Elsevier Science Inc, 2025) Alimoradzadeh, Mehdi; Akbas, Seref Doguscan
    This investigation highlights nonlinear vibration of fiber reinforced composite laminated beams coated by functionally graded materials (FG-FRCL) resting on viscoelastic nonlinear foundation under concentrated moving load and temperature rising by von Karman nonlinearity. In solution of nonlinear dynamic problem, Galerkin method with three term approximation is implemented with using multiple time scales method to study three- to- one internal resonance. To this aim, frequency response equation of system in three-to-one internal resonance are obtained. Influences of stacking sequence, power index of the FG materials, and nonlinear parameters of foundation, temperature rising, excitation amplitude on frequency response curves of the system in three-to-one internal resonance is studied.