Dy. Xue et C. Mei, FINITE-ELEMENT NONLINEAR FLUTTER AND FATIGUE LIFE OF 2-DIMENSIONAL PANELS WITH TEMPERATURE EFFECTS, Journal of aircraft, 30(6), 1993, pp. 993-1000
A frequency domain method for two-dimensional nonlinear panel flutter
with thermal effects obtained from a consistent finite element formula
tion is presented. von-Karman nonlinear strain-displacement relation i
s used to account for large deflections, and the quasisteady first-ord
er piston theory is employed for aerodynamic loading. The panel motion
under a combined thermal-aerodynamic loading can be mathematically se
parated into two parts and then solved in sequence: 1) thermal-aerodyn
amic 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 m
otion, the panel frequency and stress can be determined, thus fatigue
life can be predicted. The influence of temperature and dynamic pressu
re on panel fatigue life is presented. Endurance and failure dynamic p
ressures can be established at a given temperature from the present me
thod.