Dynamics of Flexible Multibody Systems

Rigid Finite Element Method

  • Edmund Wittbrodt
  • Iwona Adamiec-Wójcik
  • Stanisaw Wojciech

Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)

Table of contents

About this book


A new approach is presented for modelling multi-body systems, which constitutes a substantial enhancement of the Rigid Finite Element method. The new approach is based on homogeneous transformations and joint coordinates, and it yields the advantage that equations of motion are automatically generated for systems consisting of alternate rigid and flexible links. Apart from its simple physical interpretation and easy computer implementation, the method is also valuable for educational purposes since it impressively illustrates the impact of mechanical features on the mathematical model. This novel modelling approach is then applied to systems such as offshore-cranes and telescopic rapiers.


Discretization Finite Elements Flexible Links Homogeneous Transformation Joint Coordinates Lagrange's Equations Spring-Damping Elements Transformation model modeling verification

Authors and affiliations

  • Edmund Wittbrodt
    • 1
  • Iwona Adamiec-Wójcik
    • 2
  • Stanisaw Wojciech
    • 3
  1. 1.Faculty of Mechanical EngineeringGdańsk University of TechnologyGdańskPoland
  2. 2.Department of Mechanics and Computer MethodsUniversity of Bielsko-BialaBielsko-BialaPoland
  3. 3.Department of Mechanics and Computer MethodsUniversity of Bielsko-BialaBielsko-BialaPoland

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2006
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-540-32351-8
  • Online ISBN 978-3-540-32352-5
  • Series Print ISSN 1612-1384
  • Buy this book on publisher's site