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Mathematical Techniques for Wave Interaction with Flexible Structures: Iit Kharagpur Research Monograph, cartea 4

Autor Trilochan Sahoo
en Limba Engleză Hardback – 24 oct 2012
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.
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Specificații

ISBN-13: 9781466506046
ISBN-10: 1466506040
Pagini: 242
Ilustrații: 34 b/w images
Dimensiuni: 157 x 234 x 18 mm
Greutate: 0.5 kg
Ediția:New.
Editura: CRC Press
Seriile IIT Kharagpur Research Monograph Series, Iit Kharagpur Research Monograph


Cuprins

General Introduction
Preamble
State of the art
Fundamentals of differential equations
Fundamentals of waves and flexible structures
Examples and exercises

Fourier Analysis
General introduction
Integral transforms
Expansion formulae in single layer fluid
Flexural gravity wave maker problem
Effect of compression on wave scattering by a crack
Expansion formulae in double layer fluid
Examples and exercises

Green’s Function Technique
Introduction
Green’s function technique for expansion formulae
Green’s theorem for expansion formulae
Scattering of surface waves by floating elastic plates
Examples and exercises

Wave Interaction with Vertical Flexible Porous Structures
Introduction
Eigenfunction expansion method
Method of least square approximation
Transform method
Method of wide spacing approximation
Conclusion
Examples and exercises

Time Domain Analysis of Wave Structure Interaction Problems
General introduction
Mathematical formulation
Unsteady wave structure interaction problems
Flexural gravity wave motion due to initial disturbances
Conclusion
Examples and exercises

Shallow Water Approximation
General introduction
Surface gravity wave interaction with floating elastic plates
Flexural gravity wave scattering by articulated floating plates
Conclusion
Examples and exercises

Boundary Integral Equation Method
General introduction
Wave diffraction by a floating membrane
Mathematical formulation
Conclusion
Examples and exercises