Energy-consistent, Galerkin approach for the nonlinear dynamics of beams using mixed, intrinsic equations
نویسندگان
چکیده
The paper presents a Galerkin approach for the solution of the nonlinear beam equations. Nonlinear beam analysis is required when analyzing helicopter blades or high-aspect-ratio wings. The present analysis improves on earlier solution techniques based on nonlinear finite element approach used in Refs. 1 and 2, and is the ideal choice for beam-like structures undergoing large motion. Furthermore, the approach leads to an nonlinear, order-reduction technique which can be applied to the Galerkin equations as well as a finite-element equations.
منابع مشابه
Energy-consistent, Galerkin approach for the nonlinear dynamics of beams using intrinsic equations
The paper presents a Galerkin approach for the solution of nonlinear beam equations. The approach is energy consistent, i.e., it is shown that the weighted residual integral describes energy flow. The Galerkin approach gives accurate results with less degrees of freedom as compared to low-order finite element formulation. The Galerkin approach also leads to a nonlinear order-reduction technique...
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