Journal of Marine Science and Technology

, Volume 23, Issue 3, pp 706–717 | Cite as

Simulation of whipping response of a large container ship fitted with a linear generator on board in irregular head seas

  • Yuxiao Cheng
  • Tetsuo OkadaEmail author
  • Hiroaki Kobayakawa
  • Tetsuji Miyashita
  • Tomoki Nagashima
  • Isao Neki
Original article


There is plenty of energy contained in the ocean waves, and great efforts have been made over recent decades to make full use of these sustainable energy resources. As a novel device to utilize ocean wave energy, the authors propose in this paper a whipping energy converter, which utilizes a linear generator extracting power from ship’s whipping and springing (hull girder 2-node vibration) responses. The device is designed resonant to the hull girder 2-node vibration frequency. Numerical simulation of the responses of the whipping energy converter was carried out under irregular head sea condition, using time domain ship motion analysis by Rankine source method and subsequent three-dimensional whole ship FE analysis, and the main parameters of the whipping energy converter was studied. A 14,000 TEU large container ship was utilized in this study, because large container ship is prone to constant whipping and springing responses in real seas. As a result, it was found that the whipping energy converter can effectively generate power from the whipping and springing responses, and at the same time, the whipping energy converter functions as a dynamic damper. With the piston weight of 5–10 tons, the whipping vibration is visibly reduced, while if the piston weight is about 100 tons, the spectral peak is reduced to less than one-third. This implies that the whipping energy converter contributes to the prevention of fatigue damage due to whipping and springing, which is an imminent concern in the design of large container ships. It was also found that larger power generation can be expected as the piston weight is heavier, and the bow is the most effective location for this device.


Linear generator Whipping energy converter Whipping Springing Container ship Rankine source method 


  1. 1.
    Falcao AF de O (2010) Wave energy utilization: a review of the technologies. Renew Sustain Energy Rev 14:899–918CrossRefGoogle Scholar
  2. 2.
    Washio Y, Osawa H, Ogata T, Nakagawa H, Okayama S, Nagata Y (2001) A study on characteristics of generated output of the offshore floating type wave power device “Mighty Whale”. J Soc Naval Archit Jpn 190:395–405 (Japanese) Google Scholar
  3. 3.
    Ivanova IA, Bernhoff H, Agren O, Leijon M (2005) Simulated generator for wave energy extraction in deep water. Ocean Eng 32:1664–1678CrossRefGoogle Scholar
  4. 4.
    Gao Y, Shao S, Zou H, Tang M, Xu H, Tian C (2016) A fully floating system for a wave energy converter with direct-driven linear generator. Energy 95:99–109CrossRefGoogle Scholar
  5. 5.
    Minoura M, Inoue K, Yoshida H, Tanaka H (2014) Study on recovery of ship motion energy by utilizing linear generator, Conference Proceedings of the Japan Society of Naval Architects and Ocean Engineers, No.19, pp 515–518 (in Japanese)Google Scholar
  6. 6.
    Okada T, Takeda Y, Maeda T (2006) On board measurement of stresses and deflections of a post-panamax containership and its feedback to rational design. Mar Struct 19:141–172CrossRefGoogle Scholar
  7. 7.
    Toyoda M, Okada T, Maeda T, Matsumoto T (2008) Full scale measurement of stress and deflections of post-panamax container ship. Design and Operation of Container Ships, LondonGoogle Scholar
  8. 8.
    Kobayakawa H, Okada T, Kusumoto H, Nagashima T, Neki I (2015) Strength evaluation of containerships based on dynamic elastic response calculation of hull girder, 1st report—Unsteady time domain analysis of ship motions in head seas. J Jpn Soc Naval Archit Ocean Eng 22:161–173 (Japanese) Google Scholar
  9. 9.
    Kawasaki Y, Okada T, Kobayakawa H, Amaya I, Miyashita T, Nagashima T, Neki I (2016) Influence of hull girder flexibility to whipping response of an ultra large container ship, The 30th Asian-Pacific Technical Exchange and Advisory Meeting on Marine Structures (TEAM 2016). Mokpo pp 124–131Google Scholar
  10. 10.
    Kawasaki Y, Okada T, Kobayakawa H, Amaya I, Miyashita T, Nagashima T, Neki I (2017) A study on forced vibration of double bottom structure due to whipping on an ultra large container ship. Proceedings of the ASME 36th International Conference on Ocean, Offshore & Arctic Engineering (OMAE2017), Paper No. OMAE2017-61149. TrondheimGoogle Scholar
  11. 11.
    Kawasaki Y, Okada T, Kobayakawa H, Amaya I, Miyashita T, Nagashima T, Neki I (2017) Strength evaluation of containerships based on dynamic elastic response calculation of hull girder, 2nd report—Influence of hull girder rigidity and correlation between double bottom bending and hull girder bending. J Jpn Soc Naval Archit Ocean Eng 25:191–203 (Japanese) Google Scholar
  12. 12.
    Miyajima K, Kitada H (2004) Wave power generator, Patent WO2005040603 A1Google Scholar

Copyright information

© JASNAOE 2017

Authors and Affiliations

  1. 1.School of Naval Architecture, Ocean and Civil EngineeringShanghai Jiao Tong UniversityShanghaiChina
  2. 2.Faculty of EngineeringYokohama National UniversityYokohamaJapan
  3. 3.Offshore and Engineering DivisionJapan Marine United CorporationTokyoJapan
  4. 4.Technical Research CenterJapan Marine United CorporationTsuJapan
  5. 5.IEM Co., Ltd.KureJapan

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