Dynamics of solid structures : methods using integrodifferential relations / Georgy V. Kostin and Vasily V. Saurin.

Format:

Book

Author/Creator:

Kostin, Georgy V., author.

Saurin, V. V., author.

Language:

English

Subjects (All):

Surfaces (Physics)--Optical properties.

Surfaces (Physics).

Physical Description:

1 online resource (288 pages) : illustrations

Edition:

1st ed.

Place of Publication:

Berlin, [Germany] ; Boston, [Massachusetts] : Walter de Gruyter GmbH, 2018.

Language Note:

In English.

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. ContentsGeneralized formulations of parabolic and hyperbolic problemsVariational principles in linear elasticityVariational statements in structural mechanicsRitz method for initial-boundary value problemsVariational and projection techniques with semi-discretizationIntegrodifferential approach to eigenvalue problemsSpatial vibrations of elastic beams with convex cross-sectionsDouble minimization in optimal control problemsSemi-discrete approximations in inverse dynamic problemsModeling and control in mechatronics

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

Notes:

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (EBC, viewed December 23, 2017).

ISBN:

9783110516258

311051625X

OCLC:

1013827111