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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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2017]
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Year of Publication:2017
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Physical Description:1 online resource (XVII, 288 p.)
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(OCoLC)1013827111
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spelling Kostin, Georgy Viktorovich, author. aut http://id.loc.gov/vocabulary/relators/aut
Dynamics of Solid Structures : Methods using Integrodifferential Relations / Georgy Viktorovich Kostin, Vasily V. Saurin.
Berlin ; Boston : De Gruyter, [2017]
©2018
1 online resource (XVII, 288 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
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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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
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021)
Elasticity Mathematical models.
Strength of materials.
Viscoelastic materials.
SCIENCE / Mechanics / General. bisacsh
Saurin, Vasily V., author. aut http://id.loc.gov/vocabulary/relators/aut
Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018 9783110719550
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2017 9783110540550 ZDB-23-DGG
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE ENGLISH 2017 9783110625264
Title is part of eBook package: De Gruyter EBOOK PACKAGE Physics, Chemistry, Materials Sc, Geosc 2017 9783110548235 ZDB-23-DPC
EPUB 9783110516258
print 9783110516234
https://doi.org/10.1515/9783110516449
https://www.degruyter.com/isbn/9783110516449
Cover https://www.degruyter.com/cover/covers/9783110516449.jpg
language English
format eBook
author Kostin, Georgy Viktorovich,
Kostin, Georgy Viktorovich,
Saurin, Vasily V.,
spellingShingle Kostin, Georgy Viktorovich,
Kostin, Georgy Viktorovich,
Saurin, Vasily V.,
Dynamics of Solid Structures : Methods using Integrodifferential Relations /
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
author_facet Kostin, Georgy Viktorovich,
Kostin, Georgy Viktorovich,
Saurin, Vasily V.,
Saurin, Vasily V.,
Saurin, Vasily V.,
author_variant g v k gv gvk
g v k gv gvk
v v s vv vvs
author_role VerfasserIn
VerfasserIn
VerfasserIn
author2 Saurin, Vasily V.,
Saurin, Vasily V.,
author2_variant v v s vv vvs
author2_role VerfasserIn
VerfasserIn
author_sort Kostin, Georgy Viktorovich,
title Dynamics of Solid Structures : Methods using Integrodifferential Relations /
title_sub Methods using Integrodifferential Relations /
title_full Dynamics of Solid Structures : Methods using Integrodifferential Relations / Georgy Viktorovich Kostin, Vasily V. Saurin.
title_fullStr Dynamics of Solid Structures : Methods using Integrodifferential Relations / Georgy Viktorovich Kostin, Vasily V. Saurin.
title_full_unstemmed Dynamics of Solid Structures : Methods using Integrodifferential Relations / Georgy Viktorovich Kostin, Vasily V. Saurin.
title_auth Dynamics of Solid Structures : Methods using Integrodifferential Relations /
title_alt 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
title_new Dynamics of Solid Structures :
title_sort dynamics of solid structures : methods using integrodifferential relations /
publisher De Gruyter,
publishDate 2017
physical 1 online resource (XVII, 288 p.)
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
isbn 9783110516449
9783110719550
9783110540550
9783110625264
9783110548235
9783110516258
9783110516234
callnumber-first Q - Science
callnumber-subject QC - Physics
callnumber-label QC173
callnumber-sort QC 3173.4 S94
url https://doi.org/10.1515/9783110516449
https://www.degruyter.com/isbn/9783110516449
https://www.degruyter.com/cover/covers/9783110516449.jpg
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 530 - Physics
dewey-ones 530 - Physics
dewey-full 530.427
dewey-sort 3530.427
dewey-raw 530.427
dewey-search 530.427
doi_str_mv 10.1515/9783110516449
oclc_num 1013827111
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hierarchy_parent_title Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2017
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE ENGLISH 2017
Title is part of eBook package: De Gruyter EBOOK PACKAGE Physics, Chemistry, Materials Sc, Geosc 2017
is_hierarchy_title Dynamics of Solid Structures : Methods using Integrodifferential Relations /
container_title Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018
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