Nonlinear and Stochastic Dynamics of Compliant Offshore Structures:
The purpose of this monograph is to show how a compliant offshore structure in an ocean environment can be modeled in two and three di mensions. The monograph is divided into five parts. Chapter 1 provides the engineering motivation for this work, that is, offshore structures. These are very comple...
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Hauptverfasser: | , |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Dordrecht
Springer Netherlands
2002
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Schriftenreihe: | Solid Mechanics and Its Applications
98 |
Schlagworte: | |
Online-Zugang: | FHI01 BTU01 Volltext |
Zusammenfassung: | The purpose of this monograph is to show how a compliant offshore structure in an ocean environment can be modeled in two and three di mensions. The monograph is divided into five parts. Chapter 1 provides the engineering motivation for this work, that is, offshore structures. These are very complex structures used for a variety of applications. It is possible to use beam models to initially study their dynamics. Chapter 2 is a review of variational methods, and thus includes the topics: princi ple of virtual work, D'Alembert's principle, Lagrange's equation, Hamil ton's principle, and the extended Hamilton's principle. These methods are used to derive the equations of motion throughout this monograph. Chapter 3 is a review of existing transverse beam models. They are the Euler-Bernoulli, Rayleigh, shear and Timoshenko models. The equa tions of motion are derived and solved analytically using the extended Hamilton's principle, as outlined in Chapter 2. For engineering purposes, the natural frequencies of the beam models are presented graphically as functions of normalized wave number and geometrical and physical pa rameters. Beam models are useful as representations of complex struc tures. In Chapter 4, a fluid force that is representative of those that act on offshore structures is formulated. The environmental load due to ocean current and random waves is obtained using Morison's equa tion. The random waves are formulated using the Pierson-Moskowitz spectrum with the Airy linear wave theory |
Beschreibung: | 1 Online-Ressource (XIV, 274 p) |
ISBN: | 9789401599122 |
DOI: | 10.1007/978-94-015-9912-2 |
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520 | |a The purpose of this monograph is to show how a compliant offshore structure in an ocean environment can be modeled in two and three di mensions. The monograph is divided into five parts. Chapter 1 provides the engineering motivation for this work, that is, offshore structures. These are very complex structures used for a variety of applications. It is possible to use beam models to initially study their dynamics. Chapter 2 is a review of variational methods, and thus includes the topics: princi ple of virtual work, D'Alembert's principle, Lagrange's equation, Hamil ton's principle, and the extended Hamilton's principle. These methods are used to derive the equations of motion throughout this monograph. Chapter 3 is a review of existing transverse beam models. They are the Euler-Bernoulli, Rayleigh, shear and Timoshenko models. The equa tions of motion are derived and solved analytically using the extended Hamilton's principle, as outlined in Chapter 2. For engineering purposes, the natural frequencies of the beam models are presented graphically as functions of normalized wave number and geometrical and physical pa rameters. Beam models are useful as representations of complex struc tures. In Chapter 4, a fluid force that is representative of those that act on offshore structures is formulated. The environmental load due to ocean current and random waves is obtained using Morison's equa tion. The random waves are formulated using the Pierson-Moskowitz spectrum with the Airy linear wave theory | ||
650 | 4 | |a Engineering | |
650 | 4 | |a Offshore Engineering | |
650 | 4 | |a Vibration, Dynamical Systems, Control | |
650 | 4 | |a Applications of Mathematics | |
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Datensatz im Suchindex
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author | Han, Seon Mi Benaroya, Haym |
author_facet | Han, Seon Mi Benaroya, Haym |
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dewey-full | 627.98 |
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dewey-ones | 627 - Hydraulic engineering |
dewey-raw | 627.98 |
dewey-search | 627.98 |
dewey-sort | 3627.98 |
dewey-tens | 620 - Engineering and allied operations |
discipline | Bauingenieurwesen |
doi_str_mv | 10.1007/978-94-015-9912-2 |
format | Electronic eBook |
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indexdate | 2024-07-10T08:10:04Z |
institution | BVB |
isbn | 9789401599122 |
language | English |
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spelling | Han, Seon Mi Verfasser aut Nonlinear and Stochastic Dynamics of Compliant Offshore Structures by Seon Mi Han, Haym Benaroya Dordrecht Springer Netherlands 2002 1 Online-Ressource (XIV, 274 p) txt rdacontent c rdamedia cr rdacarrier Solid Mechanics and Its Applications 98 The purpose of this monograph is to show how a compliant offshore structure in an ocean environment can be modeled in two and three di mensions. The monograph is divided into five parts. Chapter 1 provides the engineering motivation for this work, that is, offshore structures. These are very complex structures used for a variety of applications. It is possible to use beam models to initially study their dynamics. Chapter 2 is a review of variational methods, and thus includes the topics: princi ple of virtual work, D'Alembert's principle, Lagrange's equation, Hamil ton's principle, and the extended Hamilton's principle. These methods are used to derive the equations of motion throughout this monograph. Chapter 3 is a review of existing transverse beam models. They are the Euler-Bernoulli, Rayleigh, shear and Timoshenko models. The equa tions of motion are derived and solved analytically using the extended Hamilton's principle, as outlined in Chapter 2. For engineering purposes, the natural frequencies of the beam models are presented graphically as functions of normalized wave number and geometrical and physical pa rameters. Beam models are useful as representations of complex struc tures. In Chapter 4, a fluid force that is representative of those that act on offshore structures is formulated. The environmental load due to ocean current and random waves is obtained using Morison's equa tion. The random waves are formulated using the Pierson-Moskowitz spectrum with the Airy linear wave theory Engineering Offshore Engineering Vibration, Dynamical Systems, Control Applications of Mathematics Mathematical Modeling and Industrial Mathematics Theoretical, Mathematical and Computational Physics Applied mathematics Engineering mathematics Mathematical models Physics Vibration Dynamical systems Dynamics Building construction Benaroya, Haym aut Erscheint auch als Druck-Ausgabe 9789048159994 https://doi.org/10.1007/978-94-015-9912-2 Verlag URL des Erstveröffentlichers Volltext |
spellingShingle | Han, Seon Mi Benaroya, Haym Nonlinear and Stochastic Dynamics of Compliant Offshore Structures Engineering Offshore Engineering Vibration, Dynamical Systems, Control Applications of Mathematics Mathematical Modeling and Industrial Mathematics Theoretical, Mathematical and Computational Physics Applied mathematics Engineering mathematics Mathematical models Physics Vibration Dynamical systems Dynamics Building construction |
title | Nonlinear and Stochastic Dynamics of Compliant Offshore Structures |
title_auth | Nonlinear and Stochastic Dynamics of Compliant Offshore Structures |
title_exact_search | Nonlinear and Stochastic Dynamics of Compliant Offshore Structures |
title_full | Nonlinear and Stochastic Dynamics of Compliant Offshore Structures by Seon Mi Han, Haym Benaroya |
title_fullStr | Nonlinear and Stochastic Dynamics of Compliant Offshore Structures by Seon Mi Han, Haym Benaroya |
title_full_unstemmed | Nonlinear and Stochastic Dynamics of Compliant Offshore Structures by Seon Mi Han, Haym Benaroya |
title_short | Nonlinear and Stochastic Dynamics of Compliant Offshore Structures |
title_sort | nonlinear and stochastic dynamics of compliant offshore structures |
topic | Engineering Offshore Engineering Vibration, Dynamical Systems, Control Applications of Mathematics Mathematical Modeling and Industrial Mathematics Theoretical, Mathematical and Computational Physics Applied mathematics Engineering mathematics Mathematical models Physics Vibration Dynamical systems Dynamics Building construction |
topic_facet | Engineering Offshore Engineering Vibration, Dynamical Systems, Control Applications of Mathematics Mathematical Modeling and Industrial Mathematics Theoretical, Mathematical and Computational Physics Applied mathematics Engineering mathematics Mathematical models Physics Vibration Dynamical systems Dynamics Building construction |
url | https://doi.org/10.1007/978-94-015-9912-2 |
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