Mathematical Techniques for Wave Interaction with Flexible Structures

Mathematical Techniques for Wave Interaction with Flexible Structures

by Trilochan Sahoo

Hardcover

$170.00
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Product Details

ISBN-13: 9781466506046
Publisher: Taylor & Francis
Publication date: 10/26/2012
Series: IIT Kharagpur Research Monograph Series , #4
Pages: 242
Product dimensions: 6.20(w) x 9.30(h) x 0.80(d)

Table of Contents

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

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