Parametric Hull Design with Rational Bézier Curves and Estimation of Performances
In this paper, a tool able to support the sailing yacht designer during the early stage of the design process has been developed. Cubic Rational Bézier curves have been selected to describe the main curves defining the hull of a sailing yacht. The adopted approach is based upon the definition of a s...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-03-01
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| Series: | Journal of Marine Science and Engineering |
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| Online Access: | https://www.mdpi.com/2077-1312/9/4/360 |
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| author | Tommaso Ingrassia Antonio Mancuso Vincenzo Nigrelli Antonio Saporito Davide Tumino |
| author_facet | Tommaso Ingrassia Antonio Mancuso Vincenzo Nigrelli Antonio Saporito Davide Tumino |
| author_sort | Tommaso Ingrassia |
| collection | DOAJ |
| description | In this paper, a tool able to support the sailing yacht designer during the early stage of the design process has been developed. Cubic Rational Bézier curves have been selected to describe the main curves defining the hull of a sailing yacht. The adopted approach is based upon the definition of a set of parameters, say the length of waterline, the beam of the waterline, canoe body draft and some dimensionless coefficients according to the traditional way of the yacht designer. Some geometrical constraints imposed on the curves (e.g., continuity, endpoint angles, curvature) have been conceived aimed to avoid unreasonable shapes. These curves can be imported into any commercial Computer Aided Design (CAD) software and used as a frame to fit with a surface. The resistance of the hull can be calculated and plotted in order to have a real time estimation of the performances. The algorithm and the related Graphical User Interface (GUI) have been written in Visual Basic for Excel. To test the usability and the precision of the tool, two existing sailboats with different characteristics have been successfully replicated and a new design, taking advantages of both the hulls, has been developed. The new design shows good performances in terms of resistance values in a wide range of Froude numbers with respect to the original hulls. |
| first_indexed | 2024-03-10T12:50:36Z |
| format | Article |
| id | doaj.art-b30d92c5b3bd42c4b62a077a2c2a55a0 |
| institution | Directory Open Access Journal |
| issn | 2077-1312 |
| language | English |
| last_indexed | 2024-03-10T12:50:36Z |
| publishDate | 2021-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Journal of Marine Science and Engineering |
| spelling | doaj.art-b30d92c5b3bd42c4b62a077a2c2a55a02023-11-21T13:04:55ZengMDPI AGJournal of Marine Science and Engineering2077-13122021-03-019436010.3390/jmse9040360Parametric Hull Design with Rational Bézier Curves and Estimation of PerformancesTommaso Ingrassia0Antonio Mancuso1Vincenzo Nigrelli2Antonio Saporito3Davide Tumino4Dipartimento di Ingegneria, Viale delle Scienze, Università degli Studi di Palermo, 90127 Palermo, ItalyDipartimento di Ingegneria, Viale delle Scienze, Università degli Studi di Palermo, 90127 Palermo, ItalyDipartimento di Ingegneria, Viale delle Scienze, Università degli Studi di Palermo, 90127 Palermo, ItalyDipartimento di Ingegneria, Viale delle Scienze, Università degli Studi di Palermo, 90127 Palermo, ItalyFacoltà di Ingegneria e Architettura, Università degli Studi di Enna Kore, Cittadella Universitaria, 94100 Enna, ItalyIn this paper, a tool able to support the sailing yacht designer during the early stage of the design process has been developed. Cubic Rational Bézier curves have been selected to describe the main curves defining the hull of a sailing yacht. The adopted approach is based upon the definition of a set of parameters, say the length of waterline, the beam of the waterline, canoe body draft and some dimensionless coefficients according to the traditional way of the yacht designer. Some geometrical constraints imposed on the curves (e.g., continuity, endpoint angles, curvature) have been conceived aimed to avoid unreasonable shapes. These curves can be imported into any commercial Computer Aided Design (CAD) software and used as a frame to fit with a surface. The resistance of the hull can be calculated and plotted in order to have a real time estimation of the performances. The algorithm and the related Graphical User Interface (GUI) have been written in Visual Basic for Excel. To test the usability and the precision of the tool, two existing sailboats with different characteristics have been successfully replicated and a new design, taking advantages of both the hulls, has been developed. The new design shows good performances in terms of resistance values in a wide range of Froude numbers with respect to the original hulls.https://www.mdpi.com/2077-1312/9/4/360sailing yacht designrational Bézier curvesVBAexcelCADVPP |
| spellingShingle | Tommaso Ingrassia Antonio Mancuso Vincenzo Nigrelli Antonio Saporito Davide Tumino Parametric Hull Design with Rational Bézier Curves and Estimation of Performances Journal of Marine Science and Engineering sailing yacht design rational Bézier curves VBA excel CAD VPP |
| title | Parametric Hull Design with Rational Bézier Curves and Estimation of Performances |
| title_full | Parametric Hull Design with Rational Bézier Curves and Estimation of Performances |
| title_fullStr | Parametric Hull Design with Rational Bézier Curves and Estimation of Performances |
| title_full_unstemmed | Parametric Hull Design with Rational Bézier Curves and Estimation of Performances |
| title_short | Parametric Hull Design with Rational Bézier Curves and Estimation of Performances |
| title_sort | parametric hull design with rational bezier curves and estimation of performances |
| topic | sailing yacht design rational Bézier curves VBA excel CAD VPP |
| url | https://www.mdpi.com/2077-1312/9/4/360 |
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