Spatial joint constraints for the absolute nodal coordinate formulation using the non-generalized intermediate coordinates
type: Item
instance of: scholarly article
title: Spatial joint constraints for the absolute nodal coordinate formulation using the non-generalized intermediate coordinates
zbMATH Open document ID: 1275.74031
author: Hiroyuki Sugiyama
author: Hiroki Yamashita
published in: Multibody System Dynamics
publication date: 2011-06-08T00:00:00Z
review text: A wide variety of mechanical and structural multibody systems consist of large deformable and rigid bodies connected by joints (spherical, cylindrical, sliding, etc.). In this paper, a systematic procedure is developed for modeling joint constraints in the absolute nodal coordinate formulation. At first, a fully parameterized three-dimensional beam element obtained using the absolute nodal coordinate formulation is reviewed. Then the constraint formulations are obtained using the joint coordinate system determined by gradient coordinates. Non-generalized intermediate coordinates are introduced to derive a mapping between generalized gradient coordinates and non-generalized rotation parameters. A new constraint formulation using the non-generalized coordinates is developed, and procedures for eliminating the non-generalized coordinates and dependent Lagrange multipliers are presented. In order to demonstrate the use of the developed formulation, a rigid-flexible double pendulum and a four-bar mechanism with large deformable coupler are considered in numerical examples.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 70E55
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 70-08
zbMATH DE Number: 5905320
zbMATH Keywords: flexible multibody dynamics
zbMATH Keywords: three-dimensional beam element
zbMATH Keywords: four-bar mechanism
zbMATH Keywords: rigid-flexible double pendulum
MaRDI profile type: Publication
full work available at URL: s11044-010-9236-5
OpenAlex ID: W2036047571
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DOI: 10.1007/S11044-010-9236-5
description: scientific article; zbMATH DE number 5905320