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Dynamics of solid structures : methods using integrodifferential relations

By: Contributor(s): Language: English Publication details: De Gruyter 2018 BerlinDescription: xvii, 288pISBN:
  • 9783110516234
Subject(s): DDC classification:
  • 620.1 K848d
Summary: 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
List(s) this item appears in: New arrival July 16 to 29, 2018
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Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
Books Books PK Kelkar Library, IIT Kanpur General Stacks 620.1 K848d (Browse shelf(Opens below)) Available A183658
Total holds: 0

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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