Prediction of the dynamic responses for two containerships operating in the black sea


  • Carmen Gasparotti "Dunarea de Jos" University of Galati
  • Liliana Rusu "Dunarea de Jos" University of Galati



numerical wave models, seakeeping performance, containerships operability, seakeeping criteria, ship responses


This work presents a methodology for the evaluation of the vessels operability in the basin of the Black Sea. The approach proposed is based on the results provided by a wave prediction system that was implemented and validated in the Black Sea. This offers a meaningful framework in the assessment of the seakeeping performance for ships operating in different conditions. The aim of the work is to improve the seakeeping performances for various types of ships that sail in the Romanian coastal zones. Two containerships are considered, of 1300TEU and 800TEU respectively, which have however the same displacement. For predicting the ship motions induced by the various wave conditions encountered in the operational area, it is necessary to know the transfer functions for different ship speeds and heading angles. These are computed with a numerical code based on the strip theory. The predicted motions are then compared with the limit values of the relevant seakeeping criteria, considered as the criteria for checking the operability of the ship. By defining the acceptable operating boundaries, the ship behavior in waves can be quantified. The vessel meets the criteria for those combinations wave height-wave period that are below the limit curves. The results are presented as operational maps for the Black Sea basin, allowing the identification of the areas that should be avoided due to unfavorable weather conditions. The methodology proposed herewith can be extended and applied to various marine environments and types of ships.



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Author Biographies

Carmen Gasparotti, "Dunarea de Jos" University of Galati

Lecturer PhD eng. Naval Architecture Department

Liliana Rusu, "Dunarea de Jos" University of Galati

Associate Professor PhD, Department of Mechanical Engineering


Antão, P., Almeida, T., Jacinto, C. and Guedes Soares, C. (2008): Causes of Occupational Accidents in the Fishing Sector in Portugal, Safety Science, Vol. 46, Issue 6, pp. 885-899.

Antão, P., Grande, O., Trucco, P. and Guedes Soares, C. (2008): Analysis of maritime accident data with BBN modelling, Safety, Reliability and Risk Analysis Theory, Methods and Applications, Martorell, S., Guedes Soares, C. & Barnett, J. (Eds), Balkema, Taylor & Francis Group, Vol. II, pp. 3265-3274.

Bertram, V., Veelo, B., Söding, H. and Graf, K. (2006): Development of a freely available strip method for Seakeeping, Proc. 5th International Conference on Computer Aplications and Information Technology in the Maritime Industries, 8-10 May 2006, Oegstgeest, The Netherlands, pp. 356-369.

Bitner-Gregersen, E.M. and Guedes Soares, C. (2007): Uncertainty of Average Wave Steepness Prediction from Global Wave Databases, Advancements in Marine Structures, C. Guedes Soares and P. K. Das (Eds.), London UK, pp. 3-10.

Booij, N., Ris, R.C. and Holthuijsen, L.H. (1999): A third-generation wave model for coastal regions, Part I, Model description and validation, Journal of Geophysical Research: Oceans, Vol. 104, Issue C4, pp. 7649-7666.

Domni?oru L. (2001): Ships Dynamics, Ocilations and vibrations of the ship hull, Technical Publishing House, Buchares, Romania (in Romanian).

Domni?oru, L., Rubanenco, I. and Mirciu, I. (2009): DYN programs package (modules DYN_OSC, DYN_LIN, DYN_NLN.), software for the ship dynamics analysis, Faculty of Naval Architecture, Dunarea de Jos Galati University, Romania.

Eleye-Datubo, A.G., Wall, A., Saajedi, A. and Wang, J. (2006): Enabling a Powerful Marine and Offshore Decision-Support Solution through Bayesian Network Technique, Risk Analysis, Vol. 26, Issue 3, pp. 695-721.

Fonseca, N. and Guedes Soares, C. (2002): Sensitivity of the expected ships availability to different seakeeping criteria, Proc. 21th International Conference on Offshore Mechanics and Arctic Engineering (OMAE2002), ASME, paper OMAE-28542.

Gasparotti, C. (2010): Risk assessment of marine oil spills, Environmental Engineering and Management Journal, Vol. 9, No. 4, pp. 527-534.

Guedes Soares, C., Bitner-Gregersen, E.M. and Antão, P. (2001): Analysis of the frequency of ship accidents under severe North Atlantic weather conditions, Proc. of The Royal Institution of Naval Architects (RINA), Design and Operation for Abnormal Conditions II, pp. 221-230.

Hanzu-Pazara, R. (2007): Risk assessment in marine industry, The human errors and the impact on the environment, Nautical Press, Constan?a, pp. 43-46 (in Romanian).

Hasselmann K., Barnett, T.P., Bouws, E., Carlson, H., Cartwright, D.E., Enke, K., Ewing, J.A., Gienapp, H., Hasselmann, D.E., Kruseman, P., Meerburg, A., Müller, P., Olbers, D.J., Richter, K., Sell, W. and Walden, H. (1973): Measurements of Wind-Wave Growth and Swell Decay During the Joing North Sea Wave Project (JONSWAP), Deutsche Hydrograph. Zeit., Erganzungsheft Reihe 12, A8.

IMO (1994): International Safety Management IMO code, issued by International Management Organization, 739 (18), London.

ITTC (1999): Recommended Procedures and Guidelines, Testing and Extrapolation Methods, High Speed Marine Vehicles, Excerpt of ISO 2631, Seasickness and Fatigue, report 7.5-02-05-04.1.

Milan I. and Gomoiu M. (2008): Causes and consequences of oil marine pollution, Geo-Eco-Marine Review 14 Supplement no. 1, Earth Sciences, Knowledge and Environment, pp. 14-22.

Myrhaug, D. and Dahl, E.A. (1996): Ship capsize in breaking waves, Fluid Structure Interaction in Offshore Engineering, S. K. Chakrabarti, Ed., Computational Mech. Publications, Chap. 2, pp. 146164, Advances in Fluid Mechanics, M. Rahman, Series Editor.

Norrington, L., Quigley, J., Russell, A. and Van der Meer, R. (2008): Modelling the reliability of search and rescue operations with Bayesian Belief Networks, Reliability Engineering & System Safety, Vol. 93, Issue 7, pp. 940-949.

Platonov, G.V. and Trub, S.M. (2010): Improvement of Seakeeping Qualities of Small Fishing Vessels as One of the Ways to Increase Their Energy Efficiency, First International Symposium on Fishing Vessel Energy Efficiency E-Fishing, Vigo, Spain.

Rusu, E., Soares, C.V. and Rusu, L. (2005): Computational Strategies and Visualization Techniques for the Waves Modeling in the Portuguese Nearshore, Maritime Transportation and Exploitation of Ocean and Coastal Resources, Editors Taylor & Francis, London, Vol II, pp. 1129-1136.

Rusu, E. (2010a): Modeling of wave-current interactions at the Danubes mouths, Journal of Marine Science and Technology, Vol. 15, Issue 2, pp. 143-159.

Rusu, E. (2011): Strategies in using numerical wave models in ocean/coastal applications, Journal of Marine Science and Technology- Taiwan, Vol. 19, No. 1, 58-73.

Rusu, L. (2010b): Application of numerical models to evaluate oil spills propagation in the coastal environment of the Black Sea, Journal of Environmental Engineering and Landscape Management, Vol. 18, No. 4, pp. 288-295.

Rusu, L. and Ivan, A. (2010): Modelling Wind Waves in the Romanian Coastal Environment, Environmental Engineering and Management Journal, Vol. 9, No. 4, pp. 547-552.

Rusu, L. and Guedes Soares, C. (2013): Evaluation of a high-resolution wave forecasting system for the approaches to ports, Ocean Engineering, Vol. 58, pp. 224-238.

Rusu, L. and Butunoiu, D. (2014): Evaluation of the wind influence in modeling the Black Sea wave conditions, Environmental Engineering and Management Journal, Vol. 13, No. 2, pp. 305-314.

Rusu, L. and Guedes Soares, C. (2014a): Forecasting containership responses in the Azores Archipelago, Developments in Maritime Transportation and Exploitation of Sea Resources Guedes Soares & López Peña (eds), Taylor & Francis Group, London, Vol 2, pp. 987-993.

Rusu, L. and Guedes Soares, C. (2014b): Forecasting fishing vessel responses in coastal areas, Journal of Marine Science and Technology, Vol. 19, Issue 2, pp. 215-227.

Rusu, L., Bernardino, M. and Guedes Soares, C. (2014): Wind and wave modelling in the Black Sea, Journal of Operational Oceanography, Vol. 7, No. 1, pp. 5-20.

Salvesen, N., Tuck, E.O. and Faltisen, O. (1970): Ship motions and sea loads, Transactions Society Naval Architects Marine Engineers, Vol. 78, pp. 250-287.

Sariöz, K. and Narli, E. (2005): Effect of criteria on seakeeping performance assessment, Ocean Engineering 32, Issue 10, pp. 11611173.

Toffoli, A., Lefevre, J.M., Monbaliu, J., Savina, H. and Bitner-Grgersen, E. (2003): Freak waves: clues for prediction in ship accidents, Proc. 13th International Offshore and Polar Engineering Conference, Honolulu, Hawaii, USA, 2530 May 2003, pp. 2329.

Trucco, P., Cagno, E., Grande, O. and Ruggeri, F. (2006): A Bayesian Approach for Integrating Organizational Factors in Risk Analysis, Safety and Reliability for Managing Risk, C., Guedes Soares & E. Zio (Eds.), Balkema, Taylor & Francis Group, Vol. I, pp. 443-450.

Zhang, S., Sun, X., Zhang, S. and Chen, X. (2006): Risk analysis methods in oil spill contingency plans, Proc. 7th Annual General Assembly of the International Association of Maritime University, Dalian Maritime University, pp. 34-41.

Wayment, E.C. and Wagstaff, B. (1999): Appropriate technology for oil spill management in developing nations, Pure and Applied Chemistry, Vol. 71, Issue 1, pp. 203208.




How to Cite

Gasparotti, C., & Rusu, L. (2014). Prediction of the dynamic responses for two containerships operating in the black sea. Journal of Naval Architecture and Marine Engineering, 11(1), 55–68.