Mathematical Techniques for Wave Interaction with Flexible Structures

Trilochan Sahoo

Hardback
$117.56

October 24, 2012 by CRC Press
Monograph - 242 Pages - 34 B/W Illustrations
ISBN 9781466506046 - CAT# K14604
Series: IIT Kharagpur Research Monograph Series

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Features

  • Introduces basic differential equations and the fundamentals of wave structure interaction problems
  • Covers the application of Fourier analysis to deal with boundary value problems associated with Laplace equations satisfying higher order boundary conditions in single and double layer fluid
  • Uses Green’s function techniques to derive alternate derivation of the expansion formulae
  • Illustrates the role of wave interaction with vertical flexible structures in the cases of both single and double-layer fluids having a free surface
  • Discusses and illustrates mathematical approaches to deal with initial boundary value problems associated with surface wave interactions with large floating structures
  • Deals with wave structure interaction problems in case of long wave under the assumption of linear shallow water approximation
  • Illustrates the use of the boundary integral equation method by analyzing the wave diffraction by a flexible floating membrane

Summary

Mathematical Techniques for Wave Interaction with Flexible Structures is a thoughtful compilation of the various mathematical techniques used to deal with wave structure interaction problems. The book emphasizes unique determination of the solution for a class of physical problems associated with Laplace- or Helmholtz-type equations satisfying higher order boundary conditions with the applications of the theory of ordinary and partial differential equations, Fourier analysis, and more.

Features:

  • Provides a focused mathematical treatment for gravity wave interaction with floating and submerged flexible structures
  • Highlights solution methods for a special class of boundary value problems in wave structure interaction
  • Introduces and expands upon differential equations and the fundamentals of wave structure interaction problems

This is an ideal handbook for naval architects, ocean engineers, and geophysicists dealing with the design of floating and/or flexible marine structures. The book’s underlying mathematical tools can be easily extended to deal with physical problems in the area of acoustics, electromagnetic waves, wave propagation in elastic media, and solid-state physics.

Designed for both the classroom and independent study, Mathematical Techniques for Wave Interaction with Flexible Structures enables readers to appreciate and apply the mathematical tools of wave structure interaction research to their own work.