An Introduction to Modern Variational Techniques in Mechanics and Engineering:
This book is devoted to the basic variational principles of mechanics: the Lagrange-D'Alembert differential variational principle and the Hamilton integral variational principle. These two variational principles form the main subject of contemporary analytical mechanics, and from them the whole...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2004
|
| Schlagworte: | |
| Online-Zugang: | FHI01 BTU01 URL des Erstveröffentlichers |
| Zusammenfassung: | This book is devoted to the basic variational principles of mechanics: the Lagrange-D'Alembert differential variational principle and the Hamilton integral variational principle. These two variational principles form the main subject of contemporary analytical mechanics, and from them the whole colossal corpus of classical dynamics can be deductively derived as a part of physical theory. In recent years students and researchers of engineering and physics have begun to realize the utility of variational principles and the vast possi bilities that they offer, and have applied them as a powerful tool for the study of linear and nonlinear problems in conservative and nonconservative dynamical systems. The present book has evolved from a series of lectures to graduate stu dents and researchers in engineering given by the authors at the Depart ment of Mechanics at the University of Novi Sad Serbia, and numerous foreign universities. The objective of the authors has been to acquaint the reader with the wide possibilities to apply variational principles in numerous problems of contemporary analytical mechanics, for example, the Noether theory for finding conservation laws of conservative and nonconservative dynamical systems, application of the Hamilton-Jacobi method and the field method suitable for nonconservative dynamical systems,the variational approach to the modern optimal control theory, the application of variational methods to stability and determining the optimal shape in the elastic rod theory, among others |
| Beschreibung: | 1 Online-Ressource (X, 346 p) |
| ISBN: | 9780817681623 |
| DOI: | 10.1007/978-0-8176-8162-3 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV045148612 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 180827s2004 |||| o||u| ||||||eng d | ||
| 020 | |a 9780817681623 |9 978-0-8176-8162-3 | ||
| 024 | 7 | |a 10.1007/978-0-8176-8162-3 |2 doi | |
| 035 | |a (ZDB-2-ENG)978-0-8176-8162-3 | ||
| 035 | |a (OCoLC)1050949218 | ||
| 035 | |a (DE-599)BVBBV045148612 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-573 |a DE-634 | ||
| 082 | 0 | |a 621 |2 23 | |
| 100 | 1 | |a Vujanovic, B. D. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a An Introduction to Modern Variational Techniques in Mechanics and Engineering |c by B. D. Vujanovic, T. M. Atanackovic |
| 264 | 1 | |a Boston, MA |b Birkhäuser Boston |c 2004 | |
| 300 | |a 1 Online-Ressource (X, 346 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 520 | |a This book is devoted to the basic variational principles of mechanics: the Lagrange-D'Alembert differential variational principle and the Hamilton integral variational principle. These two variational principles form the main subject of contemporary analytical mechanics, and from them the whole colossal corpus of classical dynamics can be deductively derived as a part of physical theory. In recent years students and researchers of engineering and physics have begun to realize the utility of variational principles and the vast possi bilities that they offer, and have applied them as a powerful tool for the study of linear and nonlinear problems in conservative and nonconservative dynamical systems. The present book has evolved from a series of lectures to graduate stu dents and researchers in engineering given by the authors at the Depart ment of Mechanics at the University of Novi Sad Serbia, and numerous foreign universities. The objective of the authors has been to acquaint the reader with the wide possibilities to apply variational principles in numerous problems of contemporary analytical mechanics, for example, the Noether theory for finding conservation laws of conservative and nonconservative dynamical systems, application of the Hamilton-Jacobi method and the field method suitable for nonconservative dynamical systems,the variational approach to the modern optimal control theory, the application of variational methods to stability and determining the optimal shape in the elastic rod theory, among others | ||
| 650 | 4 | |a Engineering | |
| 650 | 4 | |a Mechanical Engineering | |
| 650 | 4 | |a Calculus of Variations and Optimal Control; Optimization | |
| 650 | 4 | |a Mechanics | |
| 650 | 4 | |a Appl.Mathematics/Computational Methods of Engineering | |
| 650 | 4 | |a Engineering, general | |
| 650 | 4 | |a Theoretical and Applied Mechanics | |
| 650 | 4 | |a Engineering | |
| 650 | 4 | |a Calculus of variations | |
| 650 | 4 | |a Mechanics | |
| 650 | 4 | |a Applied mathematics | |
| 650 | 4 | |a Engineering mathematics | |
| 650 | 4 | |a Mechanics, Applied | |
| 650 | 4 | |a Mechanical engineering | |
| 650 | 0 | 7 | |a Mechanik |0 (DE-588)4038168-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Variationsrechnung |0 (DE-588)4062355-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Mechanik |0 (DE-588)4038168-7 |D s |
| 689 | 0 | 1 | |a Variationsrechnung |0 (DE-588)4062355-5 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Atanackovic, T. M. |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9781461264675 |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-0-8176-8162-3 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-2-ENG | ||
| 940 | 1 | |q ZDB-2-ENG_2000/2004 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-030538311 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u https://doi.org/10.1007/978-0-8176-8162-3 |l FHI01 |p ZDB-2-ENG |q ZDB-2-ENG_2000/2004 |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-0-8176-8162-3 |l BTU01 |p ZDB-2-ENG |q ZDB-2-ENG_Archiv |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804178818851667968 |
|---|---|
| any_adam_object | |
| author | Vujanovic, B. D. Atanackovic, T. M. |
| author_facet | Vujanovic, B. D. Atanackovic, T. M. |
| author_role | aut aut |
| author_sort | Vujanovic, B. D. |
| author_variant | b d v bd bdv t m a tm tma |
| building | Verbundindex |
| bvnumber | BV045148612 |
| collection | ZDB-2-ENG |
| ctrlnum | (ZDB-2-ENG)978-0-8176-8162-3 (OCoLC)1050949218 (DE-599)BVBBV045148612 |
| dewey-full | 621 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621 |
| dewey-search | 621 |
| dewey-sort | 3621 |
| dewey-tens | 620 - Engineering and allied operations |
| doi_str_mv | 10.1007/978-0-8176-8162-3 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03902nmm a2200625zc 4500</leader><controlfield tag="001">BV045148612</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">180827s2004 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780817681623</subfield><subfield code="9">978-0-8176-8162-3</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-0-8176-8162-3</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-2-ENG)978-0-8176-8162-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1050949218</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV045148612</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-573</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">621</subfield><subfield code="2">23</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Vujanovic, B. D.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">An Introduction to Modern Variational Techniques in Mechanics and Engineering</subfield><subfield code="c">by B. D. Vujanovic, T. M. Atanackovic</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boston, MA</subfield><subfield code="b">Birkhäuser Boston</subfield><subfield code="c">2004</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (X, 346 p)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This book is devoted to the basic variational principles of mechanics: the Lagrange-D'Alembert differential variational principle and the Hamilton integral variational principle. These two variational principles form the main subject of contemporary analytical mechanics, and from them the whole colossal corpus of classical dynamics can be deductively derived as a part of physical theory. In recent years students and researchers of engineering and physics have begun to realize the utility of variational principles and the vast possi bilities that they offer, and have applied them as a powerful tool for the study of linear and nonlinear problems in conservative and nonconservative dynamical systems. The present book has evolved from a series of lectures to graduate stu dents and researchers in engineering given by the authors at the Depart ment of Mechanics at the University of Novi Sad Serbia, and numerous foreign universities. The objective of the authors has been to acquaint the reader with the wide possibilities to apply variational principles in numerous problems of contemporary analytical mechanics, for example, the Noether theory for finding conservation laws of conservative and nonconservative dynamical systems, application of the Hamilton-Jacobi method and the field method suitable for nonconservative dynamical systems,the variational approach to the modern optimal control theory, the application of variational methods to stability and determining the optimal shape in the elastic rod theory, among others</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Engineering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mechanical Engineering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Calculus of Variations and Optimal Control; Optimization</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mechanics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Appl.Mathematics/Computational Methods of Engineering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Engineering, general</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Theoretical and Applied Mechanics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Engineering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Calculus of variations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mechanics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Applied mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Engineering mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mechanics, Applied</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mechanical engineering</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mechanik</subfield><subfield code="0">(DE-588)4038168-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Variationsrechnung</subfield><subfield code="0">(DE-588)4062355-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Mechanik</subfield><subfield code="0">(DE-588)4038168-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Variationsrechnung</subfield><subfield code="0">(DE-588)4062355-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Atanackovic, T. M.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9781461264675</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-0-8176-8162-3</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-ENG</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-ENG_2000/2004</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-030538311</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-0-8176-8162-3</subfield><subfield code="l">FHI01</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="q">ZDB-2-ENG_2000/2004</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-0-8176-8162-3</subfield><subfield code="l">BTU01</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="q">ZDB-2-ENG_Archiv</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV045148612 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:10:01Z |
| institution | BVB |
| isbn | 9780817681623 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030538311 |
| oclc_num | 1050949218 |
| open_access_boolean | |
| owner | DE-573 DE-634 |
| owner_facet | DE-573 DE-634 |
| physical | 1 Online-Ressource (X, 346 p) |
| psigel | ZDB-2-ENG ZDB-2-ENG_2000/2004 ZDB-2-ENG ZDB-2-ENG_2000/2004 ZDB-2-ENG ZDB-2-ENG_Archiv |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Birkhäuser Boston |
| record_format | marc |
| spelling | Vujanovic, B. D. Verfasser aut An Introduction to Modern Variational Techniques in Mechanics and Engineering by B. D. Vujanovic, T. M. Atanackovic Boston, MA Birkhäuser Boston 2004 1 Online-Ressource (X, 346 p) txt rdacontent c rdamedia cr rdacarrier This book is devoted to the basic variational principles of mechanics: the Lagrange-D'Alembert differential variational principle and the Hamilton integral variational principle. These two variational principles form the main subject of contemporary analytical mechanics, and from them the whole colossal corpus of classical dynamics can be deductively derived as a part of physical theory. In recent years students and researchers of engineering and physics have begun to realize the utility of variational principles and the vast possi bilities that they offer, and have applied them as a powerful tool for the study of linear and nonlinear problems in conservative and nonconservative dynamical systems. The present book has evolved from a series of lectures to graduate stu dents and researchers in engineering given by the authors at the Depart ment of Mechanics at the University of Novi Sad Serbia, and numerous foreign universities. The objective of the authors has been to acquaint the reader with the wide possibilities to apply variational principles in numerous problems of contemporary analytical mechanics, for example, the Noether theory for finding conservation laws of conservative and nonconservative dynamical systems, application of the Hamilton-Jacobi method and the field method suitable for nonconservative dynamical systems,the variational approach to the modern optimal control theory, the application of variational methods to stability and determining the optimal shape in the elastic rod theory, among others Engineering Mechanical Engineering Calculus of Variations and Optimal Control; Optimization Mechanics Appl.Mathematics/Computational Methods of Engineering Engineering, general Theoretical and Applied Mechanics Calculus of variations Applied mathematics Engineering mathematics Mechanics, Applied Mechanical engineering Mechanik (DE-588)4038168-7 gnd rswk-swf Variationsrechnung (DE-588)4062355-5 gnd rswk-swf Mechanik (DE-588)4038168-7 s Variationsrechnung (DE-588)4062355-5 s 1\p DE-604 Atanackovic, T. M. aut Erscheint auch als Druck-Ausgabe 9781461264675 https://doi.org/10.1007/978-0-8176-8162-3 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Vujanovic, B. D. Atanackovic, T. M. An Introduction to Modern Variational Techniques in Mechanics and Engineering Engineering Mechanical Engineering Calculus of Variations and Optimal Control; Optimization Mechanics Appl.Mathematics/Computational Methods of Engineering Engineering, general Theoretical and Applied Mechanics Calculus of variations Applied mathematics Engineering mathematics Mechanics, Applied Mechanical engineering Mechanik (DE-588)4038168-7 gnd Variationsrechnung (DE-588)4062355-5 gnd |
| subject_GND | (DE-588)4038168-7 (DE-588)4062355-5 |
| title | An Introduction to Modern Variational Techniques in Mechanics and Engineering |
| title_auth | An Introduction to Modern Variational Techniques in Mechanics and Engineering |
| title_exact_search | An Introduction to Modern Variational Techniques in Mechanics and Engineering |
| title_full | An Introduction to Modern Variational Techniques in Mechanics and Engineering by B. D. Vujanovic, T. M. Atanackovic |
| title_fullStr | An Introduction to Modern Variational Techniques in Mechanics and Engineering by B. D. Vujanovic, T. M. Atanackovic |
| title_full_unstemmed | An Introduction to Modern Variational Techniques in Mechanics and Engineering by B. D. Vujanovic, T. M. Atanackovic |
| title_short | An Introduction to Modern Variational Techniques in Mechanics and Engineering |
| title_sort | an introduction to modern variational techniques in mechanics and engineering |
| topic | Engineering Mechanical Engineering Calculus of Variations and Optimal Control; Optimization Mechanics Appl.Mathematics/Computational Methods of Engineering Engineering, general Theoretical and Applied Mechanics Calculus of variations Applied mathematics Engineering mathematics Mechanics, Applied Mechanical engineering Mechanik (DE-588)4038168-7 gnd Variationsrechnung (DE-588)4062355-5 gnd |
| topic_facet | Engineering Mechanical Engineering Calculus of Variations and Optimal Control; Optimization Mechanics Appl.Mathematics/Computational Methods of Engineering Engineering, general Theoretical and Applied Mechanics Calculus of variations Applied mathematics Engineering mathematics Mechanics, Applied Mechanical engineering Mechanik Variationsrechnung |
| url | https://doi.org/10.1007/978-0-8176-8162-3 |
| work_keys_str_mv | AT vujanovicbd anintroductiontomodernvariationaltechniquesinmechanicsandengineering AT atanackovictm anintroductiontomodernvariationaltechniquesinmechanicsandengineering |