當使用建模或繪圖軟體將船體建立出來後，計算出船體靜水性能進而分析阻力、耐海性等進階資訊以提供設計者修改整順船型，如何快速、準確而有效地達成此目的是許多造船工程師努力改善的目標，故本文以NURBS理論為基礎，發展出NURBS自動水下網格建立系統，輔以Hyper Tangent函數，得以彈性分佈建立船體瞬時水下網格，使其可成為船體設計與船體性能分析之橋樑。
為了模擬此流程，本文嘗試使用Rhino軟體建出船模，並取出截片線的NURBS參數資訊輸入NURBS自動水下網格建立系統，以即時解析穿浪型雙體船此一複雜船型航行於縱向波中之運動。由於穿浪雙體船之水下船體數於不同海況下會改變的特性，使用頻率領域方法並無法對其進行適當分析，針對此現象吾人使用時程領域方法來進行模擬分析。在時程領域分析中，以截片理論（Strip Theory）為基礎，使用四階Runge-Kutta數值方法求解穿浪型雙體船在波浪中之運動模擬。
本研究應用NURBS自動水下網格建立系統針對穿浪型雙體船進行時程領域船體運動之模擬以驗證此系統即時分佈點位之準確性與可應用性並探討此船於規則縱向波中之運動反應。

In order to analyze the ship resistance and seakeeping characteristics, the effective tool to construct the underwater hull shape quickly and accurately is necessary, which is also the expected goal of many naval architects. Therefore the present study based on the NURBS theorem to develop an auto-mesh generation system incorporating with the Hyper Tangent function to flexibly to construct the instantaneous underwater hull mesh, which offers an effective tool to improve the ship design and ship performance analysis.
In the simulation process, the present paper applies the Rhino software to construct the ship model and pick out the strip line data based on NURBS parameters to serve as the input to the NURBS auto-mesh generation system, which can instantaneously offer the complicated wave-piercing hull form data to analyze the ship motion. Because of the complicated underwater hull shape change while the wave-piercing ship is advancing in waves, the time domain simulation technique is necessary. In the present study, the 4th order Runge Kutta method is applied to solve the motions of wave-piercing ship in the longitudinal waves based on the strip theory.

1. Piegl, L.and W. Tiller, The NURBS Book. 1997: Springer.
2. Nam, J.-H.and M.G. Parsons (2000), "A Parametric Approach for Initial Hull Form Modeling Using NURBS Representation", Journal of Ship Production. 16: pp. 76-89.
3. Ventura, M.and S.C. Guedes, Hull Form Modeling using NURBS Curves and Surfaces, in 7th Symposium on Practical Design of Ship and Mobile Units. 1998: Netherlands. pp. 289-296.
4. 陳紹平and 陳賓康 (2001), "基於NURBS曲線的雙艉船型線設計研究", Ship Building of China. 42.
5. 仵大偉, 林焰and 紀卓尚 (2002), "船體曲面的NURBS表達與設計", Journal of Dalian University of Technology. 42.
6. Korvin-Kroukovsky, B.V.and W.R. Jacobs (1957), "Pitching and Heaving Motions of A Ship In Regular Waves".
7. Gerritsma, J.and W. Burkelman. The Distribution of the Hydrodynamic Force on a Heaving and Pitch Ship Model in Still Water. in 5th Symp. on Naval Hydrodynamic. 1964. Bergen, Norway.
8. Salvesen, N., E.O. Tuckand O. Faltinsen (1970), "Ship Motion and Sea Loads", Transaction of the Society of Naval Architects and Marine Engineers. 78: pp. 250-287.
9. Kaplan, P.and A.I. Raff, Evaluation and Verification of Computer Calculation of Wave-induced Ship Structural Load. 1972.
10. Fang, M.-C., M.-L. Leeand C.-L. Lee (1993), "Time simulation of water shipping for a ship advancing in large longitudinal waves", Journal of Ship Research 37,NO.2: pp. 126-137.
11. Lee, C.M. (1977), "Prediction of Motion, Stability, and Wave Load of Small-Waterplane-Area, Twin-Hull Ships", SNAME Transactions. 85: pp. 94-130.
12. Hong, Y.S., Improvement in the Prediction of Heave and Pitch Motion for SWATH Ships. 1980, David W.Taylor Naval Ship Research and Development Center.
13. IKEDA, Y.and Y. NIHEI (2007), "An Experimental Study on Seakeeping Characteristics of a Fast Wave-Piercing Catamaran in Heavy Waves", Journal of the Japan Society of Naval Architects and Ocean Engineers. 6: pp. 331-337.

14. IKEDA, Y.and T. MOMOKI (2008), "An Experimental Study on Seakeeping Characteristics of a Fast Wave-Piercing Catamaran in Real Seas", Journal of the Japan Society of Naval Architects and Ocean Engineers. 8: pp. 107-114.
15. Davis, M.R., N.L. Watsonand D.S. Holloway (2004), "Measurement and prediction of wave loads on a high-speed catamaran fitted with active stern tabs", Marine Structures. 17(7): pp. 503-535.
16. Fang, C.-C.and H.-S. Chan (2004), "Investigation of Seakeeping Characteristics of High-Speed Catamarans in Waves", Journal of Marine Science and Technology. 12: pp. 7-15.
17. Fang, C.and H. Chan (2007), "An investigation on the vertical motion sickness characteristics of a high-speed catamaran ferry", Ocean Engineering. 34(14-15): pp. 1909-1917.
18. 王世婷 (2009), "以二維理論分析穿浪型雙體船在波浪中運動之時程模擬", 國立成功大學系統及船舶機電工程研究所碩士論文.
19. 顏守平 (2009), "以三維理論分析穿浪型雙體船在縱波中運動之時程模擬", 國立成功大學系統及船舶機電工程研究所碩士論文.
20. Kim, C.H., F.S. Chouand D. Tein (1980), "Motions and Hydrodynammic Loads of a Ship Advancing in Oblique Waves", SNAME Transactions. 88: pp. 225-256.