Modeling and Control in Vibrational and Structural Dynamics : A Differential Geometric Approach
Language: English
Published by CRC Press Jul 2011, 2011
Series: Book 6 of 14 - Chapman & Hall/CRC Applied Mathematics & Nonlinear Science
- Hardcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
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Neuware - Modeling and Control in Vibrational and Structural Dynamics: A Differential Geometric Approach describes the control behavior of mechanical objects, such as wave equations, plates, and shells. It shows how the differential geometric approach is used when the coefficients of partial differential equations (PDEs) are variable in space (waves/plates), when the PDEs themselves are defined on curved surfaces (shells), and when the systems have quasilinear principal parts.To make the book self-contained, the author starts with the necessary background on Riemannian geometry. He then describes differential geometric energy methods that are generalizations of the classical energy methods of the 1980s. He illustrates how a basic computational technique can enable multiplier schemes for controls and provide mathematical models for shells in the form of free coordinates. The author also examines the quasilinearity of models for nonlinear materials, the dependence of controllability/stabilization on variable coefficients and equilibria, and the use of curvature theory to check assumptions.With numerous examples and exercises throughout, this book presents a complete and up-to-date account of many important advances in the modeling and control of vibrational and structural dynamics.…
Seller Inventory # 9781439834558
- Title
- Modeling and Control in Vibrational and Structural Dynamics : A Differential Geometric Approach
- Author
- Peng-Fei Yao
- Publisher
- CRC Press Jul 2011
- Publication year
- 2011
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 1439834555
- ISBN 13
- 9781439834558
- Item weight
- 762 grams
- Dimensions
- 234x156x24 mm
- Series
- Book 6 of 14: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science
Modeling and Control in Vibrational and Structural Dynamics: A Differential Geometric Approach describes the control behavior of mechanical objects, such as wave equations, plates, and shells. It shows how the differential geometric approach is used when the coefficients of partial differential equations (PDEs) are variable in space (waves/plates), when the PDEs themselves are defined on curved surfaces (shells), and when the systems have quasilinear principal parts.
To make the book self-contained, the author starts with the necessary background on Riemannian geometry. He then describes differential geometric energy methods that are generalizations of the classical energy methods of the 1980s. He illustrates how a basic computational technique can enable multiplier schemes for controls and provide mathematical models for shells in the form of free coordinates. The author also examines the quasilinearity of models for nonlinear materials, the dependence of controllability/stabilization on variable coefficients and equilibria, and the use of curvature theory to check assumptions.
With numerous examples and exercises throughout, this book presents a complete and up-to-date account of many important advances in the modeling and control of vibrational and structural dynamics.
"Synopsis" may belong to another edition of this title.
About the Author
Peng-Fei Yao is a professor in the Key Laboratory of Systems and Control in the Chinese Academy of Sciences. His research interests include control and modeling of vibrational mechanics, the scattering problem of vibrational systems, global and blow-up solutions, and nonlinear elasticity.
"About the title" may belong to another edition of this title.
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