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Advances in the Mechanics of Plates and Shells

The Avinoam Libai Anniversary Volume

  • Book
  • © 2002

Overview

Editors:
  1. D. Durban

    1. Faculty of Aerospace Engineering, Technion, Haifa, Israel

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  2. D. Givoli

    1. Faculty of Aerospace Engineering, Technion, Haifa, Israel

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  3. J. G. Simmonds

    1. Department of Civil Engineering, University of Virginia, Charlottesville, USA

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

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Table of contents (22 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Breathing Oscillations of Rotating Nonlinearly Elastic and Viscoelastic Rings

    • Stuart S. Antman
    Pages 1-16

  3. A Consistent Theory of, and a Variational Principle for, Thick Elastic Shells Undergoing Finite Rotations

    • S. N. Atluri, M. Iura, Y. Suetake
    Pages 17-32

  4. On the Theory of Quasi-shallow Shells

    • E. L. Axelrad
    Pages 33-48

  5. Experiments for Measuring Interface Fracture Properties

    • Leslie Banks-Sills
    Pages 49-66

  6. Some Refinements in Analysis of Thick-walled Tubes in Axial Bending

    • Charles W. Bert
    Pages 67-78

  7. Optimization of Panels with Riveted Z-shaped Stiffeners via PANDA2

    • D. Bushnell
    Pages 79-102

  8. Nondestructive Testing of Thin-walled Ceramic Matrix Composites with Matrix Cracks Using Thermography

    • Larry W. Byrd, Victor Birman
    Pages 103-118

  9. A Shell-buckling Paradox Resolved

    • C.R. Calladine
    Pages 119-134

  10. Buckling Analysis of Composite Plates

    • R. Gilat, J. Aboudi
    Pages 135-150

  11. Static Optimal Control of the Large Deformation of a Hyperelastic Plate

    • Dan Givoli, Igor Patlashenko
    Pages 151-166

  12. Computer Simulation of Nonisothermal Elastoplastic Shell Responses

    • W. B. Krätzig, U. Montag, J. Sorić, Z. Tonković
    Pages 167-180

  13. On Application of the Exact Theory of Elastic Beams

    • P. Ladevèze, P. Sanchez, J. G. Simmonds
    Pages 181-196

  14. Effects of Eccentric Stiffening on Static and Dynamic Nonlinear Response of Rectangular Panels Exposed to Thermomechanical Loading

    • Liviu Librescu, Marco A. Souza
    Pages 197-212

  15. Bending and Twisting Effects in the Three-dimensional Finite Deformations of an Inextensible Network

    • Cheng Luo, David J. Steigmann
    Pages 213-228

  16. Plastic Buckling of Rectangular Plates with Random Material Properties and Random Loading: A Demonstration of Probabilistic Structural Analysis

    • G. Maymon
    Pages 229-244

  17. On Using Rotations as Primary Variables in The Non-linear Theory of Thin Irregular Shells

    • W. Pietraszkiewicz
    Pages 245-258

  18. On Shear Deformation Plate Solutions: Relationship to The Classical Solutions

    • J. N. Reddy, C. M. Wang
    Pages 259-276

  19. A Simple Derivation of Cosserat Theories of Shells, Rods and Points

    • M. B. Rubin
    Pages 277-294

  20. Structural Similitude and Scaling Laws for Plates and Shells: A Review

    • G. J. Simitses, J.H. Starnes Jr, J. Rezaeepazhand
    Pages 295-310
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Keywords

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.

Editors and Affiliations

  • Faculty of Aerospace Engineering, Technion, Haifa, Israel

    D. Durban, D. Givoli

  • Department of Civil Engineering, University of Virginia, Charlottesville, USA

    J. G. Simmonds

Bibliographic Information

  • Book Title: Advances in the Mechanics of Plates and Shells

  • Book Subtitle: The Avinoam Libai Anniversary Volume

  • Editors: D. Durban, D. Givoli, J. G. Simmonds

  • Series Title: Solid Mechanics and Its Applications

  • DOI: https://doi.org/10.1007/0-306-46954-5

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2002

  • Softcover ISBN: 978-1-4020-0380-6Published: 30 November 2001

  • eBook ISBN: 978-0-306-46954-1Published: 11 April 2006

  • Series ISSN: 0925-0042

  • Series E-ISSN: 2214-7764

  • Edition Number: 1

  • Number of Pages: XIV, 361

  • Number of Illustrations: 47 b/w illustrations

  • Topics: Automotive Engineering, Classical Mechanics, Solid Mechanics, Civil Engineering

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