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The Theory and Practice of Hydrodynamics and Vibration : Advanced Ocean Engineering - Subrata Kumar Chakrabarti

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The Theory and Practice of Hydrodynamics and Vibration

By: Subrata Kumar Chakrabarti

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Hardcover | 18 November 2002

At a Glance

Hardcover
464 Pages

Dimensions(cm)
21.49 x 17.07 x 2.57

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$251.40

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This book covers the basics of the hydrodynamics and vibration of structures subjected to environmental loads. It describes the interaction of hydrodynamics with the associated vibration of structures, giving simple explanations. Emphasis is placed on the applications of the theory to practical problems. Several case studies are provided to show how the theory outlined in the book is applied in the design of structures. Background material needed for understanding fluid-induced vibrations of structures is given to make the book reasonably self-sufficient. Examples are taken mainly from the novel structures that are of interest today, including ocean and offshore structures and components.Besides being a text for undergraduates, this book can serve as a handy reference for design engineers and consultants involved in the design of structures subjected to dynamics and vibration.

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Introduction to the Book	p. 1
What is Hydrodynamics?	p. 1
What is Vibration?	p. 2
Interrelationship of Hydrodynamics and Vibration	p. 4
Overview of Contents	p. 5
References	p. 7
Basic Theory of Hydrodynamics	p. 9
Introduction	p. 9
Equations of Motion	p. 10
Fluid Flow and Continuity	p. 10
Rotational Flow	p. 11
Potential Function	p. 12
Laplace Equation	p. 12
Bernoulli's Equations	p. 13
Laminar and Turbulent Flow	p. 14
Steady Drag and Lift Force	p. 18
Vorticity Parameter, Reduced Velocity and Strouhal Number	p. 24
Moving Structures in Fluid	p. 26
Free Surface Flows	p. 34
Kinematical Condition at the Floor	p. 36
Kinematical Condition at the Free Surface	p. 37
Dynamic Condition at the Free Surface	p. 38
Linear Wave Theory	p. 39
Oscillatory Drag and Inertia Forces	p. 42
Summary of Hydrodynamic Forces	p. 45
Combined Steady and Oscillating Flows	p. 46
Exercises	p. 49
References	p. 50
Basic Theory of Vibration	p. 51
Introduction	p. 51
Periodic Vibration	p. 52
Linear Single Degree of Freedom System	p. 54
Transient Response	p. 56
Forced Linearly Damped System	p. 63
Energy Dissipation	p. 68
Mechanical Oscillation	p. 69
Nonlinear Single Degree of Freedom System	p. 73
Phase-Plane Diagram	p. 75
Nonlinearly Damped Free Vibration	p. 76
Nonlinearly Damped Forced Vibration	p. 80
General Nonlinear Damping	p. 81
Nonlinear Restoring Force	p. 82
Duffing's Equation	p. 86
Nonlinear Damping and Restoring Force	p. 90
Vibration of a Rigid Body	p. 95
Linear Multi-Degree Freedom System	p. 100
Two Degree-of-Freedom System	p. 100
Multi-Mass System	p. 106
Multiple Degree-of-Freedom System	p. 107
Nonlinear Multiple Degree of Freedom Systems	p. 108
Continuous Systems	p. 110
Modes of Vibration	p. 111
Vibration of an Elastic Structure	p. 112
Self-Excited Vibration	p. 115
Exercises	p. 116
References	p. 118
Experiments in Hydrodynamics and Vibration	p. 119
Introduction	p. 119
Planning a Model Test	p. 120
Benefits of Model Testing	p. 121
Requirements of a Facility	p. 121
Description of Test Facilities	p. 122
Current Generating Facility	p. 122
Towing Tanks	p. 127
Planar Motion Mechanism	p. 129
Wave Generating Facility	p. 132
Random Wave Generation	p. 134
Wind Tunnels	p. 135
Modeling Laws	p. 137
Dimensional Method	p. 137
Froude Similitude	p. 139
Reynolds Similitude	p. 140
Strouhal Similitude	p. 143
Cauchy Similitude	p. 144
Dynamic Similarity	p. 146
Hydrodynamic Model	p. 148
Modeling of Rigid Structure	p. 148
Modeling of Elastic Structure	p. 149
Modeling of Mooring Line	p. 150
Modeling of Riser	p. 153
Vibration Instruments	p. 158
Accelerometers	p. 160
Motion Sensors	p. 161
Load Measuring Device	p. 163
Design of a Load Cell	p. 165
Design of a Propeller Dynamometer	p. 169
Waterproofing of Transducers	p. 170
Excitation Level for Transducers	p. 171
In-Situ Vibration Measurements	p. 171
Exercises	p. 173
References	p. 173
Statistical Theory in Vibration	p. 175
Introduction	p. 175
Random Variables and Processes	p. 176
Probability Distribution Function	p. 178
Probability Density Function	p. 179
Gaussian Distribution	p. 181
Rayleigh Distribution	p. 183
Weibull Distribution	p. 184
Gumbel Distribution	p. 185
Power Spectrum and Statistics	p. 186
Extreme Values and Envelope Functions	p. 189
Extreme Value Function	p. 189
Design Extreme Value	p. 190
Response Spectra	p. 193
Transfer Function	p. 194
Cross Spectral Analysis	p. 198
Error Analysis	p. 199
Exercises	p. 202
References	p. 206
Random Vibration	p. 207
Introduction	p. 207
Random Single Degree of Freedom Linear System	p. 207
Non-Harmonic Vibration	p. 208
Random Vibration	p. 211
Response of SDOF System to Random Input	p. 212
Frequency Domain Analysis	p. 212
Frequency domain linear system	p. 213
Frequency domain nonlinear system	p. 214
Time Domain Analysis	p. 216
Time domain linear system	p. 217
Time domain nonlinear system	p. 218
Random Decrement Technique	p. 222
Random Response of Multi-Degree of Freedom System	p. 225
Multi-Moduled Time-Domain Solution	p. 225
Response of Nonlinear Systems to Random Input	p. 231
Stochastic Linearization of Force	p. 231
Stochastic Linearization of Response	p. 233
Numerical Methods in Stochastic Dynamics	p. 235
Eigenvalues and Eigenvectors	p. 235
Structure Finite Element Method	p. 237
Response Statistics in Random Excitation	p. 239
Exercises	p. 245
References	p. 247
Fluid Structure Interaction	p. 249
Introduction	p. 249
Structures in Steady Flow	p. 250
Vertical Cylinder in Uniform Flow	p. 254
Vertical Cylinder in Shear Flow	p. 257
Horizontal Cylinder in Uniform Flow	p. 261
Horizontal Cylinder in Shear Flow	p. 263
Blockage Factor in Steady Flow	p. 269
Structures in Waves	p. 271
Linear Diffraction Theory	p. 272
Two-Body Interaction Problem	p. 276
Fluid-Structure Finite Element Method	p. 278
Stability of Motion	p. 279
Structure Damping	p. 284
Damping of a TLP in Heave	p. 285
Damping in Ship Roll	p. 286
Skin friction	p. 287
Eddy making damping	p. 290
Lift damping	p. 294
Wave damping	p. 295
Bilge-keel damping	p. 295
Damping results	p. 297
Roll Suppression	p. 302
Tensioned Riser Analysis	p. 303
Flexible Line Analysis	p. 308
Coupled Dynamic Analysis	p. 311
Exercises	p. 313
References	p. 314
Fluid Induced Vibration	p. 317
Introduction	p. 317
Flow-Induced Vortices	p. 319
Formation of Vortices	p. 319
Reynolds and Strouhal Dependence	p. 321
Vortex Formation in Steady Uniform Flow	p. 321
Vortex Formation in Shear Flow	p. 323
Vortex Formation in Oscillatory Flow	p. 325
Theory of Vortex-Induced Vibration	p. 327
Empirical VIV Models	p. 330
Transverse Oscillator Model	p. 331
Analytic VIV Model	p. 335
Eigenfrequencies of Structures	p. 344
Vortex-Induced Vibration of Risers, Cables and Pipelines	p. 346
VIV of Risers	p. 346
VIV of Cables	p. 348
VIV of Subsea Pipeline	p. 355
Interference Effect in Vortex-Induced Vibration	p. 357
VIV between Two Closely Spaced Cylinders	p. 358
VIV among Multiple Cylinders	p. 361
VIV Spoilers	p. 362
Streamline Geometry	p. 363
Super Smooth Surface	p. 364
External Damper	p. 365
Pneumatic Damper	p. 367
Damping Plate	p. 367
Helical Strakes	p. 369
Wavy Edge	p. 371
External Disturbance	p. 372
Porosity	p. 374
Tension Control	p. 376
Exercises	p. 377
References	p. 377
Practical and Design Case Studies	p. 383
Introduction	p. 383
Damping Experiment of a Tethered TLP Caisson	p. 383
Caisson with Leaf Springs	p. 384
Caisson with Coil Springs	p. 387
Field Experiment of Vibration of a Riser	p. 390
Collision Within Riser Group	p. 390
Towing of Riser	p. 393
Impact Loading on a Fixed Platform	p. 397
Current Effect on Jacket	p. 398
Jacket Structure in Regular Waves	p. 400
Pile Structure in Random Waves	p. 402
Sloshing in a Hydroelastic Vertical Caisson	p. 405
Simplified Sloshing Theory	p. 407
Elastic Model Design	p. 415
Elastic Model Tests	p. 416
Articulated Tower Instability in Waves	p. 422
Theory of Inclined Tower	p. 422
Model Test of Inclined Tower	p. 424
Analysis of SLIM Response	p. 425
Hydroelasticity of a Multi-Moduled Structure	p. 428
Mobile Offshore Base	p. 429
Analysis of a MOB	p. 430
Dynamics of a Flexible Jack-Up Unit	p. 436
Hydrodynamic Jack-Up Analysis	p. 437
Jack-Up Structural Analysis	p. 438
Wave Response Method	p. 439
Response in Regular Waves	p. 441
Impact of a Submarine with a Jacket Structure	p. 444
Safety Check on Residual Strength	p. 445
Structural Damping	p. 446
References	p. 449
List of Symbols	p. 453
List of Acronyms	p. 457
Conversion Factors	p. 457
Author Index	p. 459
Subject Index	p. 463
Table of Contents provided by Ingram. All Rights Reserved.

The Theory and Practice of Hydrodynamics and Vibration

At a Glance

Hardcover

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