A new method for parametric design of hull surface based on energy optimization

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.

[1]  Shuxu Guo,et al.  An energy minimization method for MS lesion segmentation from T1-w and FLAIR images. , 2017, Magnetic resonance imaging.

[2]  M. Sahba.  Globally convergent algorithm for nonlinearly constrained optimization problems , 1987 .

[3]  Stefano Lucidi,et al.  Ship hydrodynamic optimization by local hybridization of deterministic derivative-free global algorithms , 2016 .

[4]  Carlo H. Séquin,et al.  Functional optimization for fair surface design , 1992, SIGGRAPH.

[5]  Michael Kallay,et al.  Constrained Optimization in Surface Design , 1993, Modeling in Computer Graphics.

[6]  Chang Haichao.  A New Method of Modifying Hull Surface and Its Application in Ship Hull Form Optimization , 2013 .

[7]  Shen Mei.  Rapid Design for Hull Form Based on Energy Optimization , 2013 .

[8]  John C. Platt,et al.  Elastically deformable models , 1987, SIGGRAPH.

[9]  Zhang Ping.  Parametric modeling approach of hull form , 2009 .

[10]  Ji Zhuoshang.  A New Method for Parametric Design of Hull Surface , 2013 .

[11]  Gunar E. Liepins,et al.  Genetic algorithms: Foundations and applications , 1990 .

[12]  Hong Qin,et al.  Triangular NURBS and their dynamic generalizations , 1997, Comput. Aided Geom. Des..

[13]  Baiwei Feng,et al.  Sample Selection Method for Ship Resistance Performance Optimization Based on Approximated Model , 2016 .

[14]  Ebru Sarıöz.  An optimization approach for fairing of ship hull forms , 2006 .

[15]  Ping Zhang,et al.  Parametric Approach to Design of Hull Forms , 2008 .

[16]  M. Diez,et al.  Design-space dimensionality reduction in shape optimization by Karhunen–Loève expansion , 2015 .

[17]  Les A. Piegl,et al.  Symbolic operators for NURBS , 1997, Comput. Aided Des..

[18]  Les A. Piegl,et al.  The NURBS Book , 1995, Monographs in Visual Communication.

[19]  L. Fernández-Jambrina,et al.  Automatic surface modelling of a ship hull , 2006, Comput. Aided Des..

[20]  Chi Yang,et al.  Hull form optimization of a cargo ship for reduced drag , 2016 .

[21]  Andrea Serani,et al.  Towards Augmented Design-Space Exploration via Combined Geometry and Physics Based Karhunen-Loève Expansion , 2017 .

[22]  Soonhung Han,et al.  Hydrodynamic hull form optimization using parametric models , 2012 .

[23]  Mokhtar S. Bazaraa,et al.  Nonlinear Programming: Theory and Algorithms , 1993 .

[24]  Hong Qin,et al.  Dynamic NURBS with geometric constraints for interactive sculpting , 1994, TOGS.

[25]  Bernd Hamann,et al.  A tessellation algorithm for the representation of trimmed surfaces with arbitrary trimming curves , 1996, Comput. Aided Des..

[26]  Fuhua Cheng,et al.  Energy and B-spline interproximation , 1997, Comput. Aided Des..

[27]  George Celniker,et al.  Deformable curve and surface finite-elements for free-form shape design , 1991, SIGGRAPH.

[28]  Chen Ming,et al.  Ship Hull Representation With a Single NURBS Surface , 2005 .

[29]  M. Patriksson.  Partial linearization methods in nonlinear programming , 1993 .

[30]  M. Connor,et al.  A new augmented penalty function technique for optimal control problems , 1977 .

[31]  Andrea Serani,et al.  Parameter selection in synchronous and asynchronous deterministic particle swarm optimization for ship hydrodynamics problems , 2016, Appl. Soft Comput..

[32]  Hyunyul Kim,et al.  A new surface modification approach for CFD-based hull form optimization , 2010 .