On the Dynamics of an Arbitrary Flexible Body with Large Overall Motion: An Integrated Approach

摘要

This paper presents a procedure for studying flexibility effects of arbitrarily shaped bodies having large overall motion. The procedure automatically incorporates the so-called #x201C;dynamic stiffness#x201D; effects through its analysis, which is an integration of the techniques of structural dynamics and multibody dynamics. Nonlinear strain-displacement relations are used to obtain a consistent set of governing equations, which are linear in their displacements away from the; undeformed state. The governing equations themselves are developed from Kane's equations, using partialvelocity vectors and partial angular velocity vectors. Explicit expressions for the coefficients and terms of the governing equations are presented. The procedure is checked with two examples, a rotating beam and a rotating plate, whose solutions are reasonably well established.