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] ©2018 |
Year of Publication: | 2017 |
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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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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 |
work_keys_str_mv |
AT kostingeorgyviktorovich dynamicsofsolidstructuresmethodsusingintegrodifferentialrelations AT saurinvasilyv dynamicsofsolidstructuresmethodsusingintegrodifferentialrelations |
status_str |
n |
ids_txt_mv |
(DE-B1597)472933 (OCoLC)1013827111 |
carrierType_str_mv |
cr |
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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