Nonlinear and Stochastic Dynamics of Compliant Offshore Structures

Author:   Seon Mi Han ,  Haym Benaroya
Publisher:   Springer-Verlag New York Inc.
Edition:   2002 ed.
Volume:   98
ISBN:  

9781402005732


Pages:   274
Publication Date:   30 April 2002
Format:   Hardback
Availability:   In Print   Availability explained
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Nonlinear and Stochastic Dynamics of Compliant Offshore Structures


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Overview

The purpose of this monograph is to demonstrate 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 and 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, should find this a useful book.

Full Product Details

Author:   Seon Mi Han ,  Haym Benaroya
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2002 ed.
Volume:   98
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   1.290kg
ISBN:  

9781402005732


ISBN 10:   1402005733
Pages:   274
Publication Date:   30 April 2002
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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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