Page 17 - Pipelines and Risers
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XIV                                                            Contents

              9.5.2   Single Span Modal Analysis ........................................................................................................   130
              9.5.3   Multiple Span Modal Analysis  .....................................................................................................  130
            9.6   Example Cases .....................................................................................................................................   131
              9.6.1   General  .........................................................................................................................................   131
              9.6.2   Fatigue Assessment ......................................................................................................................   133
             9.7   References  ............................................................................................................................................   135
           Chapter 10  Force Model and Wave Fatigue                              137
             10.1  Introduction  ..........................................................................................................................................   137
             10.2  Fatigue Analysis ...................................................................................................................................   138
              10.2.1   Fatigue of Free-spanning Pipelines ..............................................................................................  138
              10.2.2   Fatigue Damage Assessment Procedure ......................................................................................   140
              10.2.3   Fatigue Damage Acceptance Criteria  ...........................................................................................   141
              10.2.4   Fatigue Damage Calculated using Time-Domain Solution ..........................................................   142
              10.2.5   Fatigue Damage Calculated Using Frequency Domain Solution .................................................   142
             10.3  Force Model .........................................................................................................................................   144
              10.3.1   The Equation of In-line Motion for a Single Span .......................................................................   144
              10.3.2   Modal Analysis ............................................................................................................................   145
              10.3.3   Time Domain Solution  .................................................................................................................   147
              10.3.4   Frequency Domain Solution  .........................................................................................................   150
             10.4   Comparisons  of Frequency Domain and Time Domain Approaches ...................................................   152
             10.5  Conclusions and Recommendations .....................................................................................................   153
             10.6  References  ............................................................................................................................................   154

           Chapter 11  Trawl Impact, Pullover and Hooking Loads                  155
             11.1  Introduction  ..........................................................................................................................................   155
             1 1.2  Trawl Gears ..............................................................................................
               1 1.2.1   Basic Types of Trawl Gear ..........................................................................................................   155
               1 1.2.2   Largest Trawl Gear in Present Use ..............................................................................................   156
             1 1.3  Acceptance Criteria  ..............................................................................................................................   156
               11.3.1   Acceptance Criteria for Impact Response Analyses ....................................................................   156
               11.3.2   Acceptance Criteria for Pullover Response Analyses ..................................................................   157
             11.4   Impact Response Analysis ...................................................................................................................   157
               11.4.1   General  .........................................................................................................................................  157
               11.4.2   Methodology for Impact Response Analysis ...............................................................................   157
               11.4.3   Steel Pipe and Coating Stifmess ..................................................................................................   160
               11.4.4   Trawl Board Stiffness, Mass and Hydrodynamic Added Mass  ....................................................   163
               11.4.5   Impact Response ............................................................................
             11.5  Pullover Loads .......................................................................................
             11.6  Finite Element Model for Pullover Response Analyses .......................................................................   168
               11.6.1   General  .........................................................................................................................................  168
               11.6.2   Finite Element Models .................................................................................................................  168
               11.6.3   Analysis Methodology .................................................................................................................  169
             1 1.7   Case Study ...........................................................................................................................................   170
               11.7.1   General  .........................................................................................................................................   170
               11.7.2   Trawl Pull-Over For Pi   on an Uneven Seabed ..................................................................   170
             1 1.8  References  ...........................   .....................................................................................................   175
            Chapter 12  Installation Design                                      177
             12.1  Introduction  ..........................................................................................................................................  177
             12.2  Pipeline Installation Vessels ................................................................................................................   178
               12.2.1   Pipelay Semi-submersibles  ..........................................................................................................   178
                                    ..............................................................................................................  182
               12.2.2   Pipelay Ships and B~g
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