دانلود رایگان مقاله بهینه سازی شکل بدنه کشتی با تی اسپلاین مبتنی بر حل کننده ایزوهندسی BEM

Abstract

In this work, we present a ship-hull optimization process combining a T-spline based parametric ship-hull model and an Isogeometric Analysis (IGA) hydrodynamic solver for the calculation of ship wave resistance. The surface representation of the ship-hull instances comprise one cubic T-spline with extraordinary points, ensuring C2 continuity everywhere except for the vicinity of extraordinary points where G1 continuity is achieved. The employed solver for ship wave resistance is based on the Neumann–Kelvin formulation of the problem, where the resulting Boundary Integral Equation is numerically solved using a higher order collocated Boundary Element Method which adopts the IGA concept and the T-spline representation for the ship-hull surface. The hydrodynamic solver along with the ship parametric model are subsequently integrated within an appropriate optimization environment for local and global ship-hull optimizations against the criterion of minimum resistance.

6. Conclusion

In this work, we have presented a ship-hull optimization process combining a T-spline based parametric ship-hull model and an Isogeometric Analysis (IGA) hydrodynamic solver for the calculation of ship wave resistance. The parametric modeler is developed within Rhinoceros⃝R [10] modeling environment using Autodesk⃝R ’s TSplines⃝R Plug-In. The surface representation of the generated ship-hull instances comprise one cubic T-spline with extraordinary points, ensuring C 2 continuity everywhere except for the vicinity of extraordinary points where G 1 continuity is achieved. The developed solver is based on the Neumann–Kelvin formulation of the wave-resistance problem, where the resulting Boundary Integral Equation is numerically solved using a higher order collocated Boundary Element Method which adopts the IGA concept and the T-spline representation for the ship-hull surface.