Advanced Series on Ocean Engineering - Vol. 6
KALMAN FILTER METHOD IN THE ANALYSIS OF VIBRATIONS DUE TO WATER WAVES
by Piotr Wilde & Andrzej Kozakiewicz (Polish Acad. Scis.)
The central theme of this book is the application of the linear filtering theory to the vibration of structures in a fluid. Emphasis is placed on the mathematical models which, in the theory of systems, characterize the state of a dynamic system. The mathematical models are in the form of linear Ito stochastic differential equations. Discretization of the models, which leads to straightforward computer applications, is also discussed. The book also presents an approach to nonlinear problems based on the expansion of random functions in a series. To elucidate the proposed approach, examples on the application of Kalman filters, which refer to the vibrations of cylinders in waves, are cited. This provides a practical orientation to complement the proposed theory and contributes to a clearer and deeper understanding of the subject matter.
Contents:
- Introduction
- Mathematical Models for Random Functions without
Dominant Frequencies
- Mathematical Models for Random Functions with Dominant Frequency
- Expansion in a Series of Random Functions with Multiple Dominant Frequencies
- Properties of a Dynamic System
- Free Vibrations of a Structure in a Fluid
- Vibrations of Structures Due to Water Waves
- Nonlinear Problems of Vibrations
Readership: Civil, ocean and mechanical engineers, applied scientists in
analysis of vibrating systems.
"I found the book of interest, and learned something from it. The authors convincingly establish the appropriateness of their statistical techniques to the problem in hand ... I feel that it covers worthwhile material."
C J Chapman
J Fluid Mechanics |
"... this book should be purchased by the libraries of universities with engineering programs; the book will be of special importance for departments of Civil and Environmental Engineering."
| J Z Sasiadek Control Engineering Practice |
| 184pp |
Pub. date: May 1993 |
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