Doppler Shift Approximation for Predicting the Wave-Induced Response of Advancing Vessels in Following Waves

Raphaël E. G. Mounet*, Ulrik Dam Nielsen, Astrid H. Brodtkorb

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Abstract

Being able to predict wave-induced responses of a ship is essential for assessment of safety and energy efficiency. The classical seakeeping theory has established a linear relationship between the wave spectrum and the induced response spectrum. However, for a ship sailing with non-zero forward speed, the wave components excite the structure at the encounter frequency, differing from the intrinsic wave frequency. In following seas, the Doppler shift introduces complications in the theoretical transformation of spectra from intrinsic- to encounter-frequency domains, and vice versa, the latter resulting in non-unique solutions. The present study proposes to mathematically substitute this nonbijective mapping with a bijective function approximating the true formulation of the Doppler shift. A case study is considered, simulating the motions of a Panamax containership in waves, to assess the quality of the response estimates computed  through the approximation approach. The results demonstrate the ability and practicality of the method in accurately deriving response spectra for a wide range of forward speeds and headings, also in conditions that involve following waves.
Original languageEnglish
Title of host publicationProceedings of the ASME 2023 : 42nd International Conference on Ocean, Offshore and Arctic Engineering
Number of pages10
Volume5
PublisherThe American Society of Mechanical Engineers (ASME)
Publication date2023
Article numberV005T06A053
ISBN (Electronic)978-0-7918-8687-8
DOIs
Publication statusPublished - 2023
Event42nd International Conference on Ocean, Offshore & Arctic Engineering - Melbourne Convention and Exhibition Centre, Melbourne, Australia
Duration: 11 Jun 202316 Jun 2023

Conference

Conference42nd International Conference on Ocean, Offshore & Arctic Engineering
LocationMelbourne Convention and Exhibition Centre
Country/TerritoryAustralia
CityMelbourne
Period11/06/202316/06/2023

Keywords

  • Spectral analysis
  • Ship operation
  • Wave loads
  • Uncertainty quantification
  • Seakeeping

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