Modeling and Control in Vibrational and Structural Dynamics

A Differential Geometric Approach

AvPeng-Fei Yao

E-bok

Engelska, 2011

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Beskrivning

With numerous examples and exercises throughout, this book describes the control behavior of mechanical objects, such as wave equations, plates, and shells. It presents a complete and up-to-date account of many important advances in the modeling and control of vibrational and structural dynamics. The text applies the differential geometric approach to waves, plates, shells, and quasilinear systems and describes differential geometric energy methods that are generalizations of classical energy methods. To make the book self-contained, the author gives an introduction to Riemannian geometry.

Produktinformation

Utgivningsdatum:2011-07-06
Språk:Engelska
Kopieringsskydd:LCP
ISBN:9781040055168
Förlag:Taylor & Francis Ltd
Serie:Chapman & Hall/CRC Applied Mathematics & Nonlinear Science

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Mer om författaren

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.

Innehållsförteckning

Preliminaries from Differential Geometry. Control of the Wave Equation with Variable Coefficients in Space. Control of the Plate with Variable Coefficients in Space. Linear Shallow Shells: Modeling and Control. Naghdi's Shells: Modeling and Control. Koiter's Shells: Modeling and Controllability. Control of the Quasilinear Wave Equation in Higher Dimensions. References. Bibliography. Index.