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ISBN 10: 9812778705 ISBN 13: 9789812778703
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Published by World Scientific Publishing Company, Incorporated, 2009
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Published by World Scientific Publishing Company, 2009
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Add to basketHardback. Condition: New. 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.
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ISBN 10: 9819814766 ISBN 13: 9789819814763
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Published by World Scientific Publishing Co Pte Ltd, SG, 2009
ISBN 10: 9812778705 ISBN 13: 9789812778703
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Add to basketHardback. Condition: New. 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.
Language: English
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ISBN 10: 9819814766 ISBN 13: 9789819814763
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Add to basketHardcover. Condition: Brand New. 992 pages. 3.94x3.94x2.36 inches. In Stock.
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Published by World Scientific Publishing Co Pte Ltd, SG, 2025
ISBN 10: 9819814766 ISBN 13: 9789819814763
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Hardback. Condition: New. Contributed by eminent researchers, this unique volume is a collection of papers in the field of structural engineering with a special focus on stability and dynamics.The useful reference text benefits professionals, researchers, academics and graduate students in mechanical engineering and civil engineering.
Language: English
Published by World Scientific Publishing, 2025
ISBN 10: 9819814766 ISBN 13: 9789819814763
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Published by World Scientific Publishing Co Pte Ltd, SG, 2025
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Add to basketHardback. Condition: New. Contributed by eminent researchers, this unique volume is a collection of papers in the field of structural engineering with a special focus on stability and dynamics.The useful reference text benefits professionals, researchers, academics and graduate students in mechanical engineering and civil engineering.
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Published by World Scientific Publishing Company Sep 2025, 2025
ISBN 10: 9819814766 ISBN 13: 9789819814763
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Buch. Condition: Neu. Neuware - Contributed by eminent researchers, this unique volume is a collection of papers in the field of structural engineering with a special focus on stability and dynamics.The useful reference text benefits professionals, researchers, academics and graduate students in mechanical engineering and civil engineering.
Language: English
Published by World Scientific Publishing Company, 2009
ISBN 10: 9812778705 ISBN 13: 9789812778703
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Add to basketGebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Solid mechanics problems have long been regarded as bottlenecks in the development of elasticity. This book presents an approach based on the Hamiltonian principle and the symplectic duality system where solutions are derived in a rational manner in the sym.
Language: English
Published by World Scientific Publishing Co Pte Ltd, Singapore, 2025
ISBN 10: 9819814766 ISBN 13: 9789819814763
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Add to basketHardcover. Condition: new. Hardcover. Contributed by eminent researchers, this unique volume is a collection of papers in the field of structural engineering with a special focus on stability and dynamics.The useful reference text benefits professionals, researchers, academics and graduate students in mechanical engineering and civil engineering. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.