| Description |
1 online resource (426 pages) |
| Contents |
Cover; STOCHASTIC DYNAMICS OF MARINE STRUCTURES; Title; Copyright; Contents; Preface; 1 Preliminaries; 1.1 Introduction; 1.2 Equations of Motion; 1.3 Stochastic Models; 1.4 Organization of the Book; 2 Dynamics of Single-Degree-of-Freedom Linear Systems; 2.1 Introduction; 2.2 Harmonic Oscillator -- Free Vibrations; 2.2.1 Motions of Marine Structures; 2.2.2 Translational Oscillations; 2.2.3 Example -- Amplitude and Phase of a Free Oscillation; 2.2.4 Example -- Heave Oscillations of a Spar Buoy; 2.2.5 Example -- Heave and Surge Oscillations of a TLP; 2.2.6 Rotational Oscillations |
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2.2.7 Example -- Ideal Pendulum2.2.8 Example -- Tilting Oscillations of an ALP; 2.2.9 Example -- Pitch and Roll Oscillations of a Semisubmersible; 2.2.10 Example -- Yaw Oscillations of a TLP; 2.3 Free Damped Oscillations; 2.3.1 Example -- Critical Damping; 2.3.2 Example -- Logarithmic Decrement; 2.3.3 Example -- Vibrating Tower; External Forces, Inertia Forces and External Damping; Elastic Forces and Internal Damping; Effect of Axial Forces; 2.3.4 Example -- Coulomb Damping; 2.4 Forced Vibrations by Harmonic Excitation; 2.4.1 Example -- Harmonic Force |
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2.4.2 Example -- Damping Ratio from Half-Value Width2.5 Forced Vibration -- Complex Analysis; 2.5.1 Example -- Transfer Function; 2.5.2 Example -- Structure on a Vibrating Foundation; 2.5.3 Example -- Vibrating Beam; 2.6 Forced Vibrations by Periodic Excitation; 2.6.1 Example -- Periodic Excitation; 2.7 Forced Vibrations by Arbitrary Excitation; 2.8 Impulse Response Function and Duhamel Integral; 2.8.1 Example -- Suddenly Applied Force; 2.9 Maximum Response to Various Force Time Histories; 2.9.1 Example -- Torsional Rotation of a Suspension Bridge; 2.9.2 Example -- Response to Collision Load |
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3 Dynamics of Multi-Degree-of-Freedom Linear Systems3.1 Introduction; 3.2 Discrete Systems; 3.2.1 Discrete Systems of Rigid Bodies; 3.2.2 Other Examples; 3.2.3 Vibrating Bars and Strings; Vibrating Bar; Vibrating String; 3.3 Beams Under Axial and Lateral Loads; 3.3.1 Basic Principles of Structural Mechanics; General Laws Used to Solve Structural Problem; Differential Formulation for a Bar Element; Virtual Work Formulation for a Bar Element; Differential Equation for the Bending of a Beam Under Lateral Loads; Modification of Beam Theory |
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Differential and Virtual Work Formulation for a Beam with Lateral LoadsDifferential Formulation of Timoshenko Beam Theory -- with Account of Shear Deformation; 3.3.2 Differential Equation for Dynamic Behavior; Bar; Slender Beam; Timoshenko Beam; Other Cases; 3.3.3 Approximate Solution of Dynamic Response Based on Discretization; Approximations by Discrete Masses; 3.3.4 Example -- Simple Estimates of Lowest Eigenfrequency of Complex Structures; Approximations by Using Generalized Displacements; 3.3.5 Example -- Cantilever Beam; 3.3.6 Example -- Wind Turbines |
| Summary |
For students and professionals, this covers theory and methods for stochastic modelling and analysis of marine structures under environmental loads |
| Notes |
3.3.7 The Rayleigh-Ritz Method for Determining Mode Shapes and Natural Frequencies |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Offshore structures.
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Structural dynamics.
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Stochastic processes -- Congresses
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Offshore structures.
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Stochastic processes.
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Structural dynamics.
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| Genre/Form |
Conference papers and proceedings.
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| Form |
Electronic book
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| Author |
Moan, Torgeir
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| ISBN |
9781139779180 |
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1139779184 |
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0521881552 |
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9780521881555 |
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9781283715911 |
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1283715910 |
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9781139782173 |
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1139782177 |
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9781139021364 |
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1139021362 |
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