A higher order beam finite element for bending and vibration problems

Nonlinear Vibrations of Cantilever Beams and Plates

A finite-element approach has been developed for determining nonlinear flutter characteristics of twodimensional panels, based on aerodynamic forces from quasi-steady aerodynamic theory. The stiffness equations of motion, iterative solution procedure, and convergence characteristics are presented. Comparisons are made with linear flutter and large amplitude vibration results and demonstrate that good accuracy is obtained. Nonlinear flutter results are presented; effects of aerodynamic damping, boundary support conditions, and initial in-plane forces are included.

K. K. Raju

Papers

Nonlinear vibrations of beams considering shear deformation and rotary inertia