Mathematical Techniques for Wave Interaction with Flexible Structures

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Opis: Mathematical Techniques for Wave Interaction with Flexible Structures - Trilochan Sahoo

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 solida 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.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


Szczegóły: Mathematical Techniques for Wave Interaction with Flexible Structures - Trilochan Sahoo

Tytuł: Mathematical Techniques for Wave Interaction with Flexible Structures
Autor: Trilochan Sahoo
Producent: CRC Press Inc.
ISBN: 9781466506046
Rok produkcji: 2012
Ilość stron: 242
Oprawa: Twarda
Waga: 0.5 kg


Recenzje: Mathematical Techniques for Wave Interaction with Flexible Structures - Trilochan Sahoo

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Mathematical Techniques for Wave Interaction with Flexible Structures

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 solida 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.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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Cena 446,30 PLN
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Szczegóły: Mathematical Techniques for Wave Interaction with Flexible Structures - Trilochan Sahoo

Tytuł: Mathematical Techniques for Wave Interaction with Flexible Structures
Autor: Trilochan Sahoo
Producent: CRC Press Inc.
ISBN: 9781466506046
Rok produkcji: 2012
Ilość stron: 242
Oprawa: Twarda
Waga: 0.5 kg


Recenzje: Mathematical Techniques for Wave Interaction with Flexible Structures - Trilochan Sahoo

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