Abstract

An efficient, vector-version generalized unsymmetric eigenequation solver is developed for large-amplitude vibration and nonlinear panel flutter analyses by finite-element methods on high-performance computers. The proposed eigensolver is designed to extract extreme eigenpairs which are all that are required in solving panel flutter problems. A loop-unrolling technique is employed to enhance the vector speed of the eigensolver. A finiteelement approach is presented for determining the nonlinear flutter characteristics of isotropic and composite panels using unsteady, third-order piston theory aerodynamics. Both nonlinear structural (large-amplitude, and nonlinear aerodynamics terms are considered in the finite-element formulation. Solution procedures are presented to solve the nonlinear panel flutter and large amplitude-free vibration finite-element equations. Nonlinear flutter analyses are performed for different dynamic pressures A; and maximum deflection-to-thickness ratios clh. Large-amplitude vibration finite-element results are compared with classical analytical solutions. Nonlinear aerodynamic and linear structural finite-element flutter results for composite panels are also presented.

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