Symplectic elasticity:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New Jersey
World Scientific
2009
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| Subjects: | |
| Item Description: | Print version record |
| Physical Description: | 1 online resource (xxi, 292 pages) illustrations |
| ISBN: | 9789812778727 9812778721 1282441361 9781282441361 |
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MARC
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| 100 | 1 | |a Yao, Weian |d 1963- |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Symplectic elasticity |c Weian Yao, Wanxie Zhong, Chee Wah Lim |
| 264 | 1 | |a New Jersey |b World Scientific |c 2009 | |
| 300 | |a 1 online resource (xxi, 292 pages) |b illustrations | ||
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| 500 | |a Print version record | ||
| 505 | 8 | |a Exact analytical solutions in some areas of solid mechanics, in particular problems in the theory of plates, have long been regarded as bottlenecks in the development of elasticity. In contrast to the traditional solution methodologies, such as Timoshenko's approach in the theory of elasticity for which the main technique is the semi-inverse method, this book presents a new approach based on the Hamiltonian principle and the symplectic duality system where solutions are derived in a rational manner in the symplectic space. Dissimilar to the conventional Euclidean space with one kind of variables, the symplectic space with dual variables thus provides a fundamental breakthrough. A unique feature of this symplectic approach is the classical bending problems in solid mechanics now become eigenvalue problems and the symplectic bending deflection solutions are constituted by expansion of eigenvectors. The classical solutions are subsets of the more general symplectic solutions. This book explains the new solution methodology by discussing plane isotropic elasticity, multiple layered plate, anisotropic elasticity, sectorial plate and thin plate bending problems in detail. A number of existing problems without analytical solutions within the framework of classical approaches are solved analytically using this symplectic approach. Symplectic methodologies can be applied not only to problems in elasticity, but also to other solid mechanics problems. In addition, it can also be extended to various engineering mechanics and mathematical physics fields, such as vibration, wave propagation, control theory, electromagnetism and quantum mechanics | |
| 546 | |a Translated from Chinese | ||
| 650 | 7 | |a SCIENCE / Mechanics / General |2 bisacsh | |
| 650 | 7 | |a SCIENCE / Mechanics / Solids |2 bisacsh | |
| 650 | 7 | |a Elasticity |2 fast | |
| 650 | 7 | |a Symplectic spaces |2 fast | |
| 650 | 4 | |a Elasticity |a Symplectic spaces | |
| 650 | 0 | 7 | |a Symplektische Geometrie |0 (DE-588)4194232-2 |2 gnd |9 rswk-swf |
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| 689 | 0 | 0 | |a Elastizitätstheorie |0 (DE-588)4123124-7 |D s |
| 689 | 0 | 1 | |a Symplektische Geometrie |0 (DE-588)4194232-2 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Zhong, Wanxie |e Sonstige |4 oth | |
| 700 | 1 | |a Lim, Chee Wah |d 1965- |e Sonstige |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |a Yao, Weian, 1963- |t Symplectic elasticity |d New Jersey : World Scientific, 2009 |z 9789812778703 |
| 912 | |a ZDB-4-ENC | ||
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Record in the Search Index
| _version_ | 1804179162723778560 |
|---|---|
| any_adam_object | |
| author | Yao, Weian 1963- |
| author_facet | Yao, Weian 1963- |
| author_role | aut |
| author_sort | Yao, Weian 1963- |
| author_variant | w y wy |
| building | Verbundindex |
| bvnumber | BV045343728 |
| classification_rvk | UF 3000 |
| collection | ZDB-4-ENC |
| contents | Exact analytical solutions in some areas of solid mechanics, in particular problems in the theory of plates, have long been regarded as bottlenecks in the development of elasticity. In contrast to the traditional solution methodologies, such as Timoshenko's approach in the theory of elasticity for which the main technique is the semi-inverse method, this book presents a new approach based on the Hamiltonian principle and the symplectic duality system where solutions are derived in a rational manner in the symplectic space. Dissimilar to the conventional Euclidean space with one kind of variables, the symplectic space with dual variables thus provides a fundamental breakthrough. A unique feature of this symplectic approach is the classical bending problems in solid mechanics now become eigenvalue problems and the symplectic bending deflection solutions are constituted by expansion of eigenvectors. The classical solutions are subsets of the more general symplectic solutions. This book explains the new solution methodology by discussing plane isotropic elasticity, multiple layered plate, anisotropic elasticity, sectorial plate and thin plate bending problems in detail. A number of existing problems without analytical solutions within the framework of classical approaches are solved analytically using this symplectic approach. Symplectic methodologies can be applied not only to problems in elasticity, but also to other solid mechanics problems. In addition, it can also be extended to various engineering mechanics and mathematical physics fields, such as vibration, wave propagation, control theory, electromagnetism and quantum mechanics |
| ctrlnum | (ZDB-4-ENC)ocn610176684 (OCoLC)610176684 (DE-599)BVBBV045343728 |
| dewey-full | 531/.382 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 531 - Classical mechanics |
| dewey-raw | 531/.382 |
| dewey-search | 531/.382 |
| dewey-sort | 3531 3382 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Electronic eBook |
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| id | DE-604.BV045343728 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T08:15:29Z |
| institution | BVB |
| isbn | 9789812778727 9812778721 1282441361 9781282441361 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030730432 |
| oclc_num | 610176684 |
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| psigel | ZDB-4-ENC |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Yao, Weian 1963- Verfasser aut Symplectic elasticity Weian Yao, Wanxie Zhong, Chee Wah Lim New Jersey World Scientific 2009 1 online resource (xxi, 292 pages) illustrations txt rdacontent c rdamedia cr rdacarrier Print version record Exact analytical solutions in some areas of solid mechanics, in particular problems in the theory of plates, have long been regarded as bottlenecks in the development of elasticity. In contrast to the traditional solution methodologies, such as Timoshenko's approach in the theory of elasticity for which the main technique is the semi-inverse method, this book presents a new approach based on the Hamiltonian principle and the symplectic duality system where solutions are derived in a rational manner in the symplectic space. Dissimilar to the conventional Euclidean space with one kind of variables, the symplectic space with dual variables thus provides a fundamental breakthrough. A unique feature of this symplectic approach is the classical bending problems in solid mechanics now become eigenvalue problems and the symplectic bending deflection solutions are constituted by expansion of eigenvectors. The classical solutions are subsets of the more general symplectic solutions. This book explains the new solution methodology by discussing plane isotropic elasticity, multiple layered plate, anisotropic elasticity, sectorial plate and thin plate bending problems in detail. A number of existing problems without analytical solutions within the framework of classical approaches are solved analytically using this symplectic approach. Symplectic methodologies can be applied not only to problems in elasticity, but also to other solid mechanics problems. In addition, it can also be extended to various engineering mechanics and mathematical physics fields, such as vibration, wave propagation, control theory, electromagnetism and quantum mechanics Translated from Chinese SCIENCE / Mechanics / General bisacsh SCIENCE / Mechanics / Solids bisacsh Elasticity fast Symplectic spaces fast Elasticity Symplectic spaces Symplektische Geometrie (DE-588)4194232-2 gnd rswk-swf Elastizitätstheorie (DE-588)4123124-7 gnd rswk-swf Elastizitätstheorie (DE-588)4123124-7 s Symplektische Geometrie (DE-588)4194232-2 s 1\p DE-604 Zhong, Wanxie Sonstige oth Lim, Chee Wah 1965- Sonstige oth Erscheint auch als Druck-Ausgabe Yao, Weian, 1963- Symplectic elasticity New Jersey : World Scientific, 2009 9789812778703 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Yao, Weian 1963- Symplectic elasticity Exact analytical solutions in some areas of solid mechanics, in particular problems in the theory of plates, have long been regarded as bottlenecks in the development of elasticity. In contrast to the traditional solution methodologies, such as Timoshenko's approach in the theory of elasticity for which the main technique is the semi-inverse method, this book presents a new approach based on the Hamiltonian principle and the symplectic duality system where solutions are derived in a rational manner in the symplectic space. Dissimilar to the conventional Euclidean space with one kind of variables, the symplectic space with dual variables thus provides a fundamental breakthrough. A unique feature of this symplectic approach is the classical bending problems in solid mechanics now become eigenvalue problems and the symplectic bending deflection solutions are constituted by expansion of eigenvectors. The classical solutions are subsets of the more general symplectic solutions. This book explains the new solution methodology by discussing plane isotropic elasticity, multiple layered plate, anisotropic elasticity, sectorial plate and thin plate bending problems in detail. A number of existing problems without analytical solutions within the framework of classical approaches are solved analytically using this symplectic approach. Symplectic methodologies can be applied not only to problems in elasticity, but also to other solid mechanics problems. In addition, it can also be extended to various engineering mechanics and mathematical physics fields, such as vibration, wave propagation, control theory, electromagnetism and quantum mechanics SCIENCE / Mechanics / General bisacsh SCIENCE / Mechanics / Solids bisacsh Elasticity fast Symplectic spaces fast Elasticity Symplectic spaces Symplektische Geometrie (DE-588)4194232-2 gnd Elastizitätstheorie (DE-588)4123124-7 gnd |
| subject_GND | (DE-588)4194232-2 (DE-588)4123124-7 |
| title | Symplectic elasticity |
| title_auth | Symplectic elasticity |
| title_exact_search | Symplectic elasticity |
| title_full | Symplectic elasticity Weian Yao, Wanxie Zhong, Chee Wah Lim |
| title_fullStr | Symplectic elasticity Weian Yao, Wanxie Zhong, Chee Wah Lim |
| title_full_unstemmed | Symplectic elasticity Weian Yao, Wanxie Zhong, Chee Wah Lim |
| title_short | Symplectic elasticity |
| title_sort | symplectic elasticity |
| topic | SCIENCE / Mechanics / General bisacsh SCIENCE / Mechanics / Solids bisacsh Elasticity fast Symplectic spaces fast Elasticity Symplectic spaces Symplektische Geometrie (DE-588)4194232-2 gnd Elastizitätstheorie (DE-588)4123124-7 gnd |
| topic_facet | SCIENCE / Mechanics / General SCIENCE / Mechanics / Solids Elasticity Symplectic spaces Elasticity Symplectic spaces Symplektische Geometrie Elastizitätstheorie |
| work_keys_str_mv | AT yaoweian symplecticelasticity AT zhongwanxie symplecticelasticity AT limcheewah symplecticelasticity |