Modeling and control in vibrational and structural dynamics : a differential geometric approach / Pengfei YaoMaterial type: Book; Format: print Publisher: Boca Raton : CRC Press, 2011Description: XIII, 405 p. : il. ; 24 cm.ISBN: 978-1-4398-3455-8.Subject(s): Vibration -- Mathematical models
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This book presents one of the first up-to-date and comprehensive treatments of the differential geometric approach to modeling and control of vibration systems, such as waves, plates, and shells. It focuses on vibrational systems in three situations: dynamic systems variable in space, dynamic systems defined on curved surfaces, and quasilinear systems with nonlinear materials. The author shows how global geometry provides desired results in modeling and control problems. He also includes the necessary background material so that readers fully understand how differential geometry is used in modeling and control.