Dynamics of Solid Structures : : Methods using Integrodifferential Relations /

Dynamics of Solid Structures : : Methods using Integrodifferential Relations / / Georgy Viktorovich Kostin, Vasily V. Saurin.

This monograph covers new variational and projection methods to study the dynamics within solid structures. To cope with the underlying initial-boundary value problems, the method of integrodifferential relations is employed. Applications and examples in physics, mechanics and control engineering ra...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018
VerfasserIn:
Kostin, Georgy Viktorovich,
Saurin, Vasily V.,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2017]
©2018
Year of Publication:2017
Language:English
Online Access:
Physical Description:1 online resource (XVII, 288 p.)
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Table of Contents:
  • Frontmatter
  • Preface
  • Basic notation
  • Contents
  • 1. Introduction
  • 2. Generalized formulations of parabolic and hyperbolic problems
  • 3. Variational principles in linear elasticity
  • 4. Variational statements in structural mechanics
  • 5. Ritz method for initial-boundary value problems
  • 6. Variational and projection techniques with semi-discretization
  • 7. Integrodifferential approach to eigenvalue problems
  • 8. Spatial vibrations of elastic beams with convex cross-sections
  • 9. Double minimization in optimal control problems
  • 10. Semi-discrete approximations in inverse dynamic problems
  • 11. Modeling and control in mechatronics
  • A. Vectors and tensors
  • B. Sobolev spaces
  • Bibliography
  • Index

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