Transient analysis of flexible multi-body systems. I. Dynamics of flexible bodies
type: Item
instance of: scholarly article
title: Transient analysis of flexible multi-body systems. I. Dynamics of flexible bodies
zbMATH Open document ID: 0575.73066
DOI: 10.1016/0045-7825(86)90036-8
author: Ahmed A. Shabana
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1986-01-01T00:00:00Z
review text: The formulation for the dynamic analysis of undamped linear structural systems using the finite element method results in two element matrices; the mass and stiffness matrices, that describe the element inertia and stiffness properties. However, these matrices are not sufficient to describe the dynamics of structures that undergo large rigid-body motion.Other element matrices, in addition to the mass and stiffness matrices, are required to account for the inertia coupling between gross motion and elastic deformation. These matrices are time-invariant and can be generated and assembled in the same manner as the mass and stiffness matrices are assembled in linear structural dynamics. An inherent relation between these matrices and the deformable body mean axes exists. This paper is the first of two parts. It presents the two-dimensional and three-dimensional formulation of the system equations of motion of inertia-variant flexible bodies. In particular, Euler parameters are employed to describe the rotations of the body reference in the spatial analysis.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 3919965
zbMATH Keywords: transient analysis
zbMATH Keywords: flexible multi-body systems
zbMATH Keywords: dynamic analysis
zbMATH Keywords: undamped linear structural systems
zbMATH Keywords: large rigid-body motion
zbMATH Keywords: Other element matrices, in addition to the mass and stiffness matrices
zbMATH Keywords: inertia coupling between gross motion and elastic deformation
zbMATH Keywords: matrices are time- invariant
zbMATH Keywords: two-dimensional and three-dimensional formulation of the system equations of motion
zbMATH Keywords: inertia-variant flexible bodies
zbMATH Keywords: Euler parameters
zbMATH Keywords: rotations
MaRDI profile type: Publication
full work available at URL: 0045-7825(86)90036-8
OpenAlex ID: W1985704732
cites work: Q3875490
cites work: Hamilton's principle - Finite-element methods and flexible body dynamics
cites work: Q4138203
cites work: Q3318237
cites work: Multibody Dynamics
cites work: Q5564152
cites work: Transient analysis of flexible multi-body systems. II. Application to aircraft landing
description: scientific article; zbMATH DE number 3919965