Modeling and Control in Vibrational and Structural Dynamics - 9781138116641

Name: Modeling and Control in Vibrational and Structural Dynamics - 9781138116641
Brand: CRC Press

CRC Press

Modeling and Control in Vibrational and Structural DynamicsA Differential Geometric Approach\nAuthor(s): Peng-Fei Yao\nFormat: Paperback\nPublisher: Taylor & Francis Ltd, United Kingdom\nImprint: CRC Press\nISBN-13: 9781138116641, 978-1138116641\nSynopsis\nModeling 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.\n\nTo 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 com.