Volume I provides a comprehensive account of the mathematical study and self-contained analysis of vibration and damping in systems governed by partial differential equations. It presents partial differential equations techniques for the mathematical study of this subject. A special objective of establishing the stability theory to treat many distributed vibration models containing damping is discussed. The book presents the theory and methods of functional analysis, energy identities, and strongly continuous and holomorphic semigroups. Many mechanical designs provide concrete examples of damping devices. Numerical examples also confirm the strong agreements between the theoretical estimates and numerical computations of damping rates of eigenmodes.
- ISBN10 0849386187
- ISBN13 9780849386183
- Publish Date 31 March 1991
- Publish Status Out of Print
- Out of Print 5 March 2009
- Publish Country US
- Publisher Taylor & Francis Inc
- Imprint CRC Press Inc
- Format Paperback
- Pages 644
- Language English