On the Dynamics of Flexible Beams Under Large Overall Motions—The Plane Case: Part II

Abstract

The numerical treatment of the methodology proposed in Part I of this paper is considered in detail. Unlike traditional approaches, a Galerkin spatial discretization of the equations of motion, now referred to the inertial frame, yields the standard form of nonlinear structural dynamics: Mq̈ + Dq̇ + P(q) = F , with M and D constant matrices. Numerical examples that involve finite vibrations coupled with large overall motions are presented. These simulations also demonstrate the capability of the present formulation in handling multibody dynamics.