Abstract
A method for parametric design of hull surface based on energy optimization is presented. This method aims to obtaining the fairness hull surface based on NURBS. The traditional design method, based on the offsets to express ship form, does not really reflect the characteristics of the hull surface and is not easy to modify ship form. Hence the energy optimization method is proposed to obtain the expression of the hull curves and surface with NURBS. Attentions are focused on extracting the design parameters which represent the characteristic of the hull. The design parameters are selected as design variables meanwhile least sum of curvature square of hull curves is set as optimization objective. The basic shape feature of hull curves and surface can be adjusted under the constraints related to interpolation points, derivative vectors, curvatures, areas and centroid points. One successful design example of a 50000DWT tanker verifies the feasibility and practicality of this method. This method has a better performance in the design variability and model remodeling without relying on parent data, which realizes further fairness of the ship hull surface.
Similar content being viewed by others
References
Guan G, Lin Y, Ji ZS (2013) Rapid design for hull form based on energy optimization. Shipbuild China 54(1):12–20
Perez F, Suarez JA, Fernandez L (2006) Automatic surface modeling of a ship hull. Comput Aided Des 38:584–594
Rabien U (1996) Ship geometry modeling. Ship Technol Res 43:115–123
Chang HC, Cheng XD, Liu ZY, Feng BW, Zhan CS (2016) Sample selection method for ship resistance performance optimization based on approximated model. J Ship Res 60(1):1–13
Feng BW, Liu ZY, Zhan CS, Chang HC (2013) A new method of modifying hull surface and its application in ship hull form optimization. Shipbuild China 54(1):30–39
Huang FX, Yang C (2016) Hull form optimization of a cargo ship for reduced drag. J Hydrodyn 28(2):173–183
Terzopoulos D (1987) Elastically deformable models. Comput Graph 21(4):205–214
Celniker G, Gossard D (1991) Deformable curve and surface finite-elements for free-form shape design. Comput Graph 25(4):257–266
Welch W, Witckin A (1992) Variational surface modelling. Comput Graph 26(2):157–166
Moreton HP, Sequin CH (1992) Functional optimization for fair surface design. Comput Graph 26(2):167–176
Qin H, Terzopoulos D (1997) Triangular NURBS and their dynamic generalizations. CAGD 14(4):325–347
Zhao Y, Guo SX (2017) An energy minimization method for MS lesion segmentation from T1-w and FLAIR images. Magn Reson Imaging 39(2):1–6
Zhang P, Zhu DX, Leng WH (2008) Parametric approach to design of hull forms. J Hydrodyn 20(6):804–810
Zhang P, Leng WH, Zhu DX (2009) Parametric modeling approach of hull form. J Ship Mech 13(1):47–54
Kim H, Yang C (2010) A new surface modification approach for CFD-based hull form optimization. In: 9th international conference on hydrodynamics, 520–525
Han S, Lee YS, Choi YB (2012) Hydrodynamic hull form optimization using parametric models. J Mar Sci Technol 17(2):1–17
Yu YY, Lin Y, Ji ZS (2013) A new method for parametric design of hull surface. Shipbuild China 54(1):21–29
Diez M, Campana EF, Stern F (2015) Design-space dimensionality reduction in shape optimization by Karhunen–Loève expansion. Comput Methods Appl Mech Eng 283:1525–1544
Serani A, Fasano G, Liuzzi G, Lucidi S, Iemma U, Campana EF, Diez M (2016) Ship hydrodynamic optimization by local hybridization of deterministic derivative-free global algorithms. Appl Ocean Res 59:115–128
Serani A, Campana EF, Diez M, Stern F (2017) Towards augmented design-space exploration via combined geometry and physics based Karhunen–Loève expansion. In: AIAA/ISSMO multidisciplinary analysis and optimization (MA&O), AVIATION, Denver, USA, 5–9 June 2017
Harries S (1998) Parametric design and hydrodynamic optimization of ship hull forms. Technische Universitat Berlin, Berlin
Harries S (2005) Systematic optimization—a key for improving ship hydrodynamics. Hansa 142(12):26–45
Harries S, Hinrichsen H (2006) The InSAC—a new design feature for the improvement of transport efficiency. Hansa 143(9):23–34
Abt C, Harries S (2007) Friendship—framework: integrating ship-design modelling, simulation, and optimization. Naval Architect 4(1):33–35
Piegl L, Tiller W (1995) The NURBS book. Springer, New York
Ma X (1992) Research on key technologies and applications of NURBS method, Ph.D Dissertation, Nanjing Aeronautical University
Lu CH, Lin Y, Ji ZS (2005) Ship hull representation with a single NURBS surface. In: Proceedings of the 15th international offshore and polar engineering conference, ISOPE, 780–784
Hamann B, Tsai PY (1996) A tessellation algorithm for the representation of trimmed NURBS surfaces with arbitrary trimming curves. CAD 28(6–7):461–472
Piegl L, Tiller W (1997) Symbolic operators for NURBS. CAD 29(5):361–368
Wang X, Cheng F, Barsky BA (1997) Energy and B-spline interpolation. CAD 29(7):485–496
Terzopoulos D, Qin H (1994) Dynamic NURBS with geometric constraints for interactive sculpting. ACM Trans Graph 13(2):103–136
Kallay M (1993) Constrained optimization in surface design in modelling in computer graphics. Springer, New York, pp 85–93
Harries S, Abt C (1998) Parametric curve design applying fairness criteria. In: International workshop on creating fair and shape-preserving curves and surfaces, network fairshape. Berlin/Potsdam, Germany
Zhang R, Lin Y, Ji Z (2007) Smoothing of freeform curves based on multi-resolution B-spline-wavelet network. Dynamics of continuous, discrete and impulsive systems (DCDIS). Ser A Math Anal 14(S3):2288–2292
Ebru S (2006) An optimization approach for fairing of ship hull forms. Ocean Eng 33(16):2105–2118
Bazaraa MS, Shetty CM (1979) Nonlinear programming. Theory and algorithms. Wiley, New York
Serani A, Leotardi C, Iemma U, Campana EF, Fasano G, Diez M (2016) Parameter selection in synchronous and asynchronous deterministic particle swarm optimization for ship hydrodynamics problems. Appl Soft Comput 49:313–334
Connor MA, Vlach M (1977) A new augmented penalty function technique for optimal control problems. J Optim Theory Appl 21(1):39–49
Patriksson M (1993) Partial linearization methods in nonlinear programming. J Optim Theory Appl 78(2):39–49
Sahba M (1987) Globally convergent algorithm for nonlinearly constrained optimization problems. J Optim Theory Appl 52(2):291–309
Liepins GE, Hilliard MR (1989) Genetic algorithms: foundations and applications. Ann Oper Res 21(1):31–57
Acknowledgements
This work is sponsored by National Natural Science Foundation of China (Grant No. 51609036).
Author information
Authors and Affiliations
Corresponding author
About this article
Cite this article
Guan, G., Yang, Q., Yang, X. et al. A new method for parametric design of hull surface based on energy optimization. J Mar Sci Technol 24, 424–436 (2019). https://doi.org/10.1007/s00773-018-0562-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00773-018-0562-2