Modeling, Analysis and Control of Dynamic Elastic Multi-Link Structures

  • J. E. Lagnese
  • Günter Leugering
  • E. J. P. G. Schmidt

Part of the Systems & Control: Foundations & Applications book series (SCFA)

Table of contents

  1. Front Matter
    Pages i-xv
  2. J. E. Lagnese, Günter Leugering, E. J. P. G. Schmidt
    Pages 1-11
  3. J. E. Lagnese, Günter Leugering, E. J. P. G. Schmidt
    Pages 13-46
  4. J. E. Lagnese, Günter Leugering, E. J. P. G. Schmidt
    Pages 47-93
  5. J. E. Lagnese, Günter Leugering, E. J. P. G. Schmidt
    Pages 95-133
  6. J. E. Lagnese, Günter Leugering, E. J. P. G. Schmidt
    Pages 135-199
  7. J. E. Lagnese, Günter Leugering, E. J. P. G. Schmidt
    Pages 201-249
  8. J. E. Lagnese, Günter Leugering, E. J. P. G. Schmidt
    Pages 251-317
  9. J. E. Lagnese, Günter Leugering, E. J. P. G. Schmidt
    Pages 319-378
  10. Back Matter
    Pages 379-390

About this book

Introduction

The purpose of this monograph is threefold. First, mathematical models of the transient behavior of some or all of the state variables describing the motion of multiple-link flexible structures will be developed. The structures which we have in mind consist of finitely many interconnected flexible ele­ ments such as strings, beams, plates and shells or combinations thereof and are representative of trusses, frames, robot arms, solar panels, antennae, deformable mirrors, etc. , currently in use. For example, a typical subsys­ tem found in almost all aircraft and space vehicles consists of beam, plate and/or shell elements attached to each other in a rigid or flexible manner. Due to limitations on their weights, the elements themselves must be highly flexible, and due to limitations on their initial configuration (i. e. , before de­ ployment), those aggregates often have to contain several links so that the substructure may be unfolded or telescoped once it is deployed. The point of view we wish to adopt is that in order to understand completely the dynamic response of a complex elastic structure it is not sufficient to con­ to take into account the sider only its global motion but also necessary flexibility of individual elements and the interaction and transmission of elastic effects such as bending, torsion and axial deformations at junctions where members are connected to each other. The second object of this book is to provide rigorous mathematical analyses of the resulting models.

Keywords

calculus continuum mechanics deformation flexible structures geometry mechanics modeling torsion variable

Authors and affiliations

  • J. E. Lagnese
    • 1
  • Günter Leugering
    • 2
  • E. J. P. G. Schmidt
    • 3
  1. 1.Department of MathematicsGeorgetown UniversityUSA
  2. 2.Fakultät für Mathematik und PhysikUniversity of BayreuthBayreuthGermany
  3. 3.Dept. of Mathematics and StatisticsMcGill UniversityMontrealCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-0273-8
  • Copyright Information Birkhäuser Boston 1994
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6689-1
  • Online ISBN 978-1-4612-0273-8
  • Series Print ISSN 2324-9749
  • About this book