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.... 246 Data-flow content diagram, 1 14 Data-flow diagram, 8a9, 14a16, 113 application generator support, 196 CASE ... Data structure diagram, 87 Data Structured Systems Development (DSSD), 243a248 Data transfer, see Import/ exportanbsp;...
|Author||:||Ken S. Brathwaite|
|Publisher||:||CRC PressI Llc - 1991|