A finite element time domain modal approach is presented for determini
ng the nonlinear flutter characteristics of composite panels at elevat
ed temperatures. The von Karman large-deflection strain-displacement r
elations, quasisteady first-order piston theory aerodynamics, and quas
isteady thermal stress theory are used to formulate the nonlinear pane
l flutter finite element equations of motion in nodal displacements. A
set of nonlinear modal equations of motion of much smaller degrees of
freedom for the facilitation in time numerical integration is then ob
tained through a modal transformation and reduction. All five types of
panel behavior-flat, buckled, limit-cycle, periodic, and chaotic moti
ons-can be determined. Examples show the accuracy, convergence, and ve
rsatility of the present approach.