Conversion of a Second- to First-Order Linear Nomoto Model in the Light of ZigZag Manoeuvre Performance

• Autorzy: Artyszuk J.

Identyfikatory

DOI

10.1515/aon-2018-0013

• Języki publikacji: EN

Abstrakty

EN

The problem of considerable difference between the first- and second-order linear Nomoto models is undertaken, not well covered in literature so far. If the former approximates the latter (better one, of a sound hydrodynamic interpretation) for some reasons, its parameters can not be easily derived from the other one, except for some specific rare cases. For such an identification purpose, we can use a simulated zigzag response and the classic procedure proposed by Nomoto in 1960. However, the first-order model thus developed yields somehow redefined constants against the original model, which lose their normal hydrodynamic (or kinematic) sense. In other words, it is very sensitive to the manoeuvre type on input, being therein the zigzag test. Therefore, the model is allowed to be only used for simulating motions essentially similar to the input zigzag. In other words, the identification procedure works like a blind curve-fitting and the first-order model (in contrast to second-order one) is inadequate for reflecting arbitrary manoeuvres, even for mild rudder as to be within 'linear' assumptions. This study examines systematically and in detail such an incompatibility of the first order model in that it presents the conversion charts from the standpoint of 10°/10° zigzag test matching. One can receive higher or lower values for the parameters of first-order model, versus the second-order one, depending on the T3/T2 ratio of the latter model.

PL

Artykuł zawiera systematyczne wyniki identyfikacji liniowego modelu Nomoto pierwszego rzędu na podstawie symulowanej próby wężowej różnych wariantów modelu drugiego rzędu. W toku analizy stwierdzono ogólną nieadekwatność (strukturalną) modelu pierwszego rzędu do symulacji dowolnych manewrów, w przeciwieństwie do modelu drugiego rzędu, nawet w granicach liniowości dynamiki statku. Wyniki identyfikacji silnie bowiem zależą od rozpatrywanego manewru.

Słowa kluczowe

EN

zigzag test; Kempf; ship; manoeuvring; steering; Nomoto

• Wydawca: Polskie Forum Nawigacyjne
• Czasopismo: Annual of Navigation
• Rocznik: 2018
• Tom: No. 25
• Strony: 187--203
• Opis fizyczny: Bibliogr. 13 poz., rys.

Twórcy

autor

Artyszuk J.

• Maritime University of Szczecin, Wały Chrobrego 1-2, 70-500 Szczecin, Poland

Bibliografia

• [1] Artyszuk J.: Inherent Properties of Ship Manoeuvring Linear Models in View of the Full-mission Model Adjustment. TransNav, The International Journal on Marine Navigation and Safety of Sea Transportation, Vol. 10, No. 4, doi: 10.12716/1001.10.04.08, pp. 595-604, 2016a.
• [2] Artyszuk J.: Peculiarities of zigzag behaviour in linear models of ship yaw motion. An-nual of Navigation, vol. 23, 2016b.
• [3] Artyszuk J.: Performance of the second-order linear Nomoto model in terms of zigzag curve parameters. In: Marine Navigation (Marine Navigation and Safety of Sea Trans-portation, Proceedings of 12th International Conference on Marine Navigation and Safety of Sea Transportation, TransNav 2017, Jun 21-23, Gdynia, Poland), Weintrit A. (ed.), CRC Press, Boca Raton, 2017.
• [4] Artyszuk J.: A study on the identification of the second-order linear Nomoto model from the zigzag test. Scientific Journals of the Maritime University of Szczecin, no. 53 (125), Mar, 2018.
• [5] Dudziak J.: Ship Theory. Wyd. Morskie, Gdansk, 1988 (in Polish).
• [6] Fossen T.I.: Guidance and Control of Ocean Vehicles. John Wiley & Sons, Chichester, 1994.
• [7] Fossen T.I.: Handbook of Marine Craft Hydrodynamics and Motion Control. John Wiley & Sons, Chichester, 2011.
• [8] Lewis E.V. (e.): Principles of Naval Architecture, vol. III (Motions in Waves and Con-trollability). Ed. 3, SNAME, Jersey City, 1989.
• [9] Motora S.: Proposed manoeuvrability indices as a measure of the steering qualities of ships. 9th ITTC Conference, Sep 8-17, Manoeuvrability Session (Formal discussion), Paris, 1960.
• [10] Motora S., Fujino M.: On the modified zig-zag manoeuvre to obtain the course-keeping qualities of less stable ships. 12th ITTC Conference, Manoeuvrability Session, Report of Manoeuvrability Committee (Written Contributions), Rome, 1969.
• [11] Nomoto K. et al.: On the Steering Qualities of Ships. International Shipbuilding Progress, vol. 4, no. 35 (Jul), 1957.
• [12] Nomoto K.: Analysis of Kempf's standard maneuver test and proposed steering quality indices. First Symposium on Ship Maneuverability, May 24-25, DTMB Rep. 1461 (AD 442036), DTMB, Washington, 1960.
• [13] Nomoto K., Norrbin N.H.: A review of methods of defining and measuring the manoeu-vrability of ships. 12th ITTC Conference, Report of Manoeuvrability Committee, Ap. I., Rome, 1969.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).