Methodology for the development and practical testing of calculated dependencies for determining ice loads on the structures of ice reinforcements of ice-navigation transport vessels based on a new model of dynamic ice destruction

   A methodology and algorithm for constructing dependencies for determining the parameters of calculated ice loads on the on-board structures of ice navigation vessels based on a new model of dynamic ice destruction (MDRL) are described. The theoretical foundations of MDRL are considered. To construct the calculated dependencies, representative statistical information on the shape of the hull of ice navigation vessels was collected and analyzed in a wide range of displacement and for various ice classes. Based on the systematization of this information, it is proposed to divide ships into several groups, differing in the values of hull shape parameters at the level of the calculated waterline. The initial data for performing calculations of ice loads according to the new model are substantiated. The structure of the initial data is determined by the experiment design matrix — a numerical experiment using specialized software. The calculated dependencies are presented in the form of quadratic regression dependencies. The adjustment of the calculated dependencies for determining the parameters of ice loads is based on calculations of ice loads for real ships. The results of practical testing of the calculated dependencies are presented. The results obtained can be used to improve the requirements of the Rules of the Russian Maritime Register of Shipping.

1. Rules for the Classification and Construction of Sea-Going Ships. Part II. Hull / Russian Maritime Register of Shipping. 2024.

2. Kurdyumov V.A., Kheisin D.E. Hydrodynamic model of the impact of a solid on ice. Soviet Applied Mechanics. 1976. Vol. 12. № 10. P. 1063 — 1068.

3. Timco G.W., Frederking R.M.W. Drop impact tests on freshwater ice: spherical head. Proceeding of the 10^th IAHR Ice Symposium. Vol. 11. Espoo, Finland, Aug. 20 — 23, 1990. P. 776 — 787.

4. Timco G.W., Frederking R.M.W. Laboratory impact tests on freshwater ice. Cold Region Science and Technology. 1993. Vol. 22. P. 77 — 97.

5. Frederking R.M.W., Jordaan I.J., McCallum J.S. Field tests of ice indentation of medium scale Hobson's choice ice island. Proceeding of the 10^th IAHR Ice Symposium. Vol. 11. Espoo, Finland, Aug. 20 — 23, 1990. P. 931 — 944.

6. Ritch R, St. John J., Browne R., Sheinberg R. Ice load impact measurements on the CCGS Louis S. St. Laurent during the 1994 Arctic Ocean crossing. Proceedings of the 18^th International Conference on Offshore Mechanics and Arctic Engineering. July 11 — 16, 1999, St. John’s Newfoundland. Paper OMAE99/P&A-1141.

7. Appolonov E.M. Ledovaya prochnost' sudov, prednaznachennykh dlya kruglogodichnoi arkticheskoi navigatsii [Ice strength of ships designed for year-round Arctic navigation]. St. Petersburg: SPbGMTU, 2016. 288 p.

8. Appolonov E.M., Didkovskii A.V., Kuteinikov M.A., Nesterov A.B. Sovershenstvovanie metodologii opredeleniya ledovykh nagruzok [Improving the methodology for determining ice loads]. Transactions of Russian Maritime Register of Shipping. 2002. No. 25 P. 83 — 100.

9. Appolonov E.M., Platonov V.V., Tryaskin V.N. Improvement of RMRS ice strengthening requirements for ice class vessels and icebreakers. Transactions of the Krylov State Research Centre. 2018. Vol. 3. No. 385. — P. 18 — 28. (In Russ.)

10. Appolonov E.M., Platonov V.V. New model of dynamic ice failure as basis for improvement of RS requirements to ice belts of ice-going ships and icebreakers. Transactions of the Krylov State Research Centre. 2019. Vol. 4. No. 390. P. 99 — 116. (In Russ.)

11. Platonov V.V., Tryaskin V.N. Methodological basis for the calculation of ice loads acting on the icebreaker hull based on a new model of ice dynamic fracture. Research Bulletin by Russian Maritime Register of Shipping. 2021. No. 62/63. P. 78 — 88. (In Russ.)

12. Platonov V.V., Tryaskin V.N., Moroz V.S. The method for determination of permissible speeds of ice-going ships based on a new model of dynamic ice destruction. Research Bulletin by Russian Maritime Register of Shipping. 2024. No. 76. P. 52 — 62. (In Russ.)

13. Platonov V.V., Tryaskin V.N. Methodological basis for determining the design ice loads on the hull of modern ice vessels in the bow and stern areas. The Arctic: Ecology and Economics. 2019. No. 4 (36). P. 83 — 98. (In Russ.)

14. Kashtelyan V.I. Priblizhennoe opredelenie usilii, razrushayushchikh ledyanoi pokrov [An approximate definition of the forces that destroy the ice sheet]. Problemy Arktiki i Antarktiki [Problems of the Arctic and Antarctic : collection of articles]. Leningrad: Morskoi transport, 1960. Issue 5. P. 31 — 38.

15. Kheisin D.E. Prochnost' ledyanogo polya pod deistviem nagruzki, prilozhennoi k ego kromke [The strength of the ice field under the action of a load applied at the edge]. Modern Issues of Icebreaking. Leningrad: Morskoi transport, 1960. P. 133 — 152. (Transactions of the Arctic Research Institute. T. 237.)

16. Rylin A.Ya., Kheisin D.E. Ispytanie sudov vo l'dah [Ice trials of ships]. Leningrad: Sudostroenie, 1980. 208 p.

17. Rules for the Classification and Construction of Sea-Going Ships. Part I. Classification. / Russian Maritime Register of Shipping. 2025.

18. Tryaskin V.N. Metodologiya avtomatizirovannogo proektirovaniya konstruktsiy korpusa sudna. Razdel 3.2 [Methodology of computer-aided design of ship hull structures. Part 3.2.: DSc thesis]. St. Petersburg, 2007.