Multi-Body Large Displacement Equations of Motion for Flexible Bodies Represented as Finite Element Models

摘要

A general approach for creating equations of motion for large displacement dynamic analysis of bodies represented in finite element form is presented. The resulting motion equations include flexible body and gyroscopic terms. The equations are expressed using the finite element normal modes and generalized coordinates and represent a flexible body undergoing large displacement linear strain motions. Mode truncated normal modes are used and the result is an equation of motion very similar to a standard modal transient equation of motion. A new formulation of the gyroscopic terms in the equation of motion is presented, as well as a new multibody dynamics formulation. The multibody dynamics formulation can incorporate mixtures of rigid and flexible body components, open and closed chains of bodies, and prescribed motions of the body-to-body connections.