Purpose <p>This 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.</p> Methods <p>Governing 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.</p> Results <p>Nonlinear 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.</p> Conclusions <p>This investigation can be helpful for mechanical analysis of structural elements under aero-thermal conditions.</p>

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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

  • Mehdi Alimoradzadeh,
  • Şeref Doğuşcan Akbaş

摘要

Purpose

This 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.

Methods

Governing 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.

Results

Nonlinear 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.

Conclusions

This investigation can be helpful for mechanical analysis of structural elements under aero-thermal conditions.