A finite element structural dynamics model of a beam with an arbitrary moving base. I: Formulations
type: Item
instance of: scholarly article
title: A finite element structural dynamics model of a beam with an arbitrary moving base. I: Formulations
zbMATH Open document ID: 0765.73063
DOI: 10.1016/0168-874X(92)90059-L
author: S. Singh
published in: Finite Elements in Analysis and Design
publication date: 1993-04-01T00:00:00Z
review text: A general lumped mass finite element structural dynamics model was developed for a three-dimensional elastic beam with an arbitrary and large base movement. The six degrees of freedom of the base movement can incorporate either a prescribed arbitrary motion of the base or as coupling of the beam with other substructures. The beam can be pretwisted and have a mass centre offset from the elasticity centre in order to model some specific structures such as helicopter blades. The equations of motion were derived using the virtual work principle. Large deflections and small strains of the beam were assumed so that the geometrical nonlinearities are included. The centrifugal stiffness terms caused by the large base movement were specifically considered so that the dynamics model is applicable for both nonlinear and linear analyses.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 147067
zbMATH Keywords: large deflections
zbMATH Keywords: general lumped mass finite element structural dynamics model
zbMATH Keywords: three-dimensional elastic beam
zbMATH Keywords: large base movement
zbMATH Keywords: virtual work principle
zbMATH Keywords: small strains
zbMATH Keywords: geometrical nonlinearities
zbMATH Keywords: centrifugal stiffness terms
MaRDI profile type: Publication
full work available at URL: 0168-874x(92)90059-l
OpenAlex ID: W1982344219
description: scientific article; zbMATH DE number 147067