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Kostin, Georgy Viktorovich / Saurin, Vasily V.

Dynamics of Solid Structures

Methods using Integrodifferential Relations

    119,95 € / $137.99 / £98.99*

    eBook (PDF)
    Publication Date:
    November 2017
    Copyright year:
    2018
    ISBN
    978-3-11-051644-9
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    Overview

    Aims and Scope

    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

    Details

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    Georgy V. Kostin and Vasily V. Saurin, Institute for Problems in Mechanics, Russia.

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