Description

Book Synopsis

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 range from natural vibrations or forced motions of elastic and viscoelastic bodies to heat and mass transfer processes.

Contents
Generalized formulations of parabolic and hyperbolic problems
Variational principles in linear elasticity
Variational statements in structural mechanics
Ritz method for initial-boundary value problems
Variational and projection techniques with semi-discretization
Integrodifferential approach to eigenvalue problems
Spatial vibrations of elastic beams with convex cross-sections
Double minimization in optimal control problems
Semi-discrete approximations in inverse dynamic problems
Modeling and control in mechatronics

Dynamics of Solid Structures: Methods using Integrodifferential Relations

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    A Hardback by Georgy Viktorovich Kostin, Vasily V. Saurin

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      View other formats and editions of Dynamics of Solid Structures: Methods using Integrodifferential Relations by Georgy Viktorovich Kostin

      Publisher: De Gruyter
      Publication Date: Publication Date: 20/11/2017
      ISBN13: 9783110516234, 978-3110516234
      ISBN10:

      Description

      Book Synopsis

      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 range from natural vibrations or forced motions of elastic and viscoelastic bodies to heat and mass transfer processes.

      Contents
      Generalized formulations of parabolic and hyperbolic problems
      Variational principles in linear elasticity
      Variational statements in structural mechanics
      Ritz method for initial-boundary value problems
      Variational and projection techniques with semi-discretization
      Integrodifferential approach to eigenvalue problems
      Spatial vibrations of elastic beams with convex cross-sections
      Double minimization in optimal control problems
      Semi-discrete approximations in inverse dynamic problems
      Modeling and control in mechatronics

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