Advances in the Mechanics of Plates and Shells

The Avinoam Libai Anniversary Volume

  • D. Durban
  • D. Givoli
  • J. G. Simmonds

Part of the Solid Mechanics and its Applications book series (SMIA, volume 88)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. E. L. Axelrad
    Pages 33-48
  3. C.R. Calladine
    Pages 119-134
  4. R. Gilat, J. Aboudi
    Pages 135-150
  5. W. B. Krätzig, U. Montag, J. Sorić, Z. Tonković
    Pages 167-180
  6. P. Ladevèze, P. Sanchez, J. G. Simmonds
    Pages 181-196
  7. G. J. Simitses, J.H. Starnes Jr, J. Rezaeepazhand
    Pages 295-310
  8. Charles R. Steele
    Pages 327-342
  9. Back Matter
    Pages 357-361

About this book


The optimal control of flexible structures is an active area of research. The main body of work in this area is concerned with the control of time-dependent displacements and stresses, and assumes linear elastic conditions, namely linear elastic material behavior and small defor- tion. See, e. g. , [1]–[3], the collections of papers [4, 5], and references therein. On the other hand, in the present paper we consider the static optimal control of a structure made of a nonlinear elastic material and und- going large deformation. An important application is the suppression of static or quasi-static elastic deformation in flexible space structures such as parts of satellites by the use of control loads [6]. Solar rad- tion and radiation from other sources induce a temperature field in the structure, which in turn generates an elastic displacement field. The displacements must usually satisfy certain limitations dictated by the allowed working conditions of various orientation-sensitive instruments and antennas in the space vehicle. For example, a parabolic reflector may cease to be effective when undergoing large deflection. The elastic deformation can be reduced by use of control loads, which may be imp- mented via mechanically-based actuators or more modern piezoelectric devices. When the structure under consideration is made of a rubb- like material and is undergoing large deformation, nonlinear material and geometric effects must be taken into account in the analysis.


deformation fracture mechanics optimization rotation shells simulation structural analysis vibration

Editors and affiliations

  • D. Durban
    • 1
  • D. Givoli
    • 1
  • J. G. Simmonds
    • 2
  1. 1.Faculty of Aerospace EngineeringTechnionHaifaIsrael
  2. 2.Department of Civil EngineeringUniversity of VirginiaCharlottesvilleUSA

Bibliographic information

  • DOI
  • Copyright Information Kluwer Academic Publishers 2002
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-7923-6785-7
  • Online ISBN 978-0-306-46954-1
  • Series Print ISSN 0925-0042
  • Buy this book on publisher's site