Finite Element Nonlinear Flutter and Fatigue Life of Two-Dimensional Panels with Temperature Effects

A frequency domain method for two-dimensional nonlinear panel flutter with thermal effects obtained from a consistent finite element formulation is presented. von-Karman nonlinear strain-displacement relation is used to account for large deflections, and the quasisteady first-order piston theory is employed for aerodynamic loading. The panel motion under a combined thermal-aerodynamic loading can be mathematicall y separated into two parts and then solved in sequence: 1) thermal-aerodynamic static deflection (time-independent equilibrium position), and 2) limit-cycle oscillations. The finite element frequency domain results are compared with numerical time domain solutions. In a limit-cycle motion, the panel frequency and stress can be determined, thus fatigue life can be predicted. The influence of temperature and dynamic pressure on panel fatigue life is presented. Endurance and failure dynamic pressures can be established at a given temperature from the present method.

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