Nonlinear and Stochastic Dynamics of Compliant Offshore Structures
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Nonlinear and Stochastic Dynamics of Compliant Offshore Structures: (98 Solid Mechanics and Its Applications)

Nonlinear and Stochastic Dynamics of Compliant Offshore Structures: (98 Solid Mechanics and Its Applications)


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About the Book

The purpose of this monograph is to show how to model a compliant offshore structure in an ocean environment. Such structures are of increasing importance because of the desire to access the deep ocean. A brief history and an extensive review of the four existing transverse beam models are presented. The four beam models are Euler-Bernoulli, Rayleigh, shear and Timoshenko models. These are the fundamental models for the preliminary studies of offshore structures. The complete analytical solutions are given for each model. This review is followed by a chapter on the stochastic modelling of environmental forces. The waves are assumed to be random, and the fluid force is modelled using the Morison Equation. In subsequent chapters, the models are expanded to include the axial motion as well as the transverse motion in two and three dimensions.Numerical results are obtained using both deterministic and random forces. A detailed description of the numerical methods is provided so that the reader can adapt these methods to his or her particular problem. Researchers in the fields of structural mechanics and ocean engineering, especially those with an interest in nonlinear hybrid beam/cable models, will find this a useful book.

Table of Contents:
1. Introduction.- 2. Principle of Virtual Work, Lagrange’s Equation and Hamilton’s Principle.- 3. Overview of Transverse Beam Models.- 4. Environmental Loading-Waves and Currents.- 5. Coupled Axial and Transverse Vibration in Two Dimensions.- 6. Three-Dimensional Vibration.- 7. Summary.- Appendices.- Fourier Representation of a Gaussian Random.- Process.- Physically Plausible Initial Displacements.- Finite Difference Method.- 1. Two Dimensional Equations of Motion and Boundary Conditions.- 1.1 Discretized Equations of Motion.- 2. Three-Dimensional Equations of Motion and Boundary Conditions.- 2.1 Discretized Equations of Motion.- 2.2 Sample MATLAB Codes for 3D System.- 2.2.1 Main Program.- 2.2.2 Function Used in the Main Program.- Energy Loss Over One Cycle In Damped Case.- Steady-State Response Due to Ocean Current.- References.


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Product Details
  • ISBN-13: 9789048159994
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Height: 235 mm
  • No of Pages: 274
  • Series Title: 98 Solid Mechanics and Its Applications
  • ISBN-10: 9048159997
  • Publisher Date: 07 Dec 2010
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Width: 155 mm


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