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Offshore tethered platform springing response statistics.

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The Naess-Gaidai method accurately extrapolates extreme value statistics for tension leg platforms (TLPs) using second-order Volterra series. This study validates the method against an exact solution, highlighting its efficiency and limitations for specific responses.

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Area of Science:

  • Ocean Engineering
  • Structural Dynamics
  • Extreme Value Statistics

Background:

  • Deepwater tension leg platforms (TLPs) face complex wave loading.
  • Second-order Volterra series are used to model non-linear responses.
  • Accurate extreme value statistics are crucial for TLP safety.

Purpose of the Study:

  • To validate the Naess-Gaidai extrapolation method for extreme value statistics.
  • To assess the accuracy of the Naess-Gaidai method using an exact Volterra series solution.
  • To investigate wave sum frequency effects on TLP restrained modes.

Main Methods:

  • Modeling a deepwater TLP using a linear damped mass-spring system.
  • Estimating wave loading with a second-order diffraction code (WAMIT).
  • Calculating TLP response using exact second-order Volterra series representation.
  • Applying the Naess-Gaidai mean up-crossing rate extrapolation method.

Main Results:

  • The Naess-Gaidai method demonstrated validity in extrapolating extreme value statistics for the TLP model.
  • Comparison with the exact Volterra series solution confirmed the efficiency and accuracy of the extrapolation method.
  • Limitations were identified for narrow-band effects like springing response clustering.

Conclusions:

  • The Naess-Gaidai method is a validated tool for TLP extreme value statistics extrapolation.
  • The study provides insights into the accuracy and limitations of the method.
  • Understanding these limitations is essential for reliable TLP design and safety assessment.