Design of developable surfaces using the given data points
Many products such as ships, buildings, and clothes contain developable surfaces generated by sweeping a straight line along a three-dimensional curve. An automated design process does not exist due to difficulties satisfying the conditions of a developable surface. This study proposes a method to d...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
The Japan Society of Mechanical Engineers
2021-07-01
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| Series: | Journal of Advanced Mechanical Design, Systems, and Manufacturing |
| Subjects: | |
| Online Access: | https://www.jstage.jst.go.jp/article/jamdsm/15/5/15_2021jamdsm0056/_pdf/-char/en |
| _version_ | 1818532280385142784 |
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| author | Kotaro YOSHIDA Hidefumi WAKAMATSU Eiji MORINAGA Seichiro TSUTSUMI Takahiro KUBO |
| author_facet | Kotaro YOSHIDA Hidefumi WAKAMATSU Eiji MORINAGA Seichiro TSUTSUMI Takahiro KUBO |
| author_sort | Kotaro YOSHIDA |
| collection | DOAJ |
| description | Many products such as ships, buildings, and clothes contain developable surfaces generated by sweeping a straight line along a three-dimensional curve. An automated design process does not exist due to difficulties satisfying the conditions of a developable surface. This study proposes a method to design a developable surface from the intended data points using the design process of a two-piece brassiere cup as an example. Here, we model a developable surface based on the differential geometry, which converts the design to its boundary curves. Then we formulate the error between the developable surface and the data points from the geometry condition and the optimization problem in the design process. Our method is verified by applying it to three examples: a shape composed of two developable surfaces, a sphere, which is a non-developable surface, and a realistic breast shape. |
| first_indexed | 2024-12-11T17:43:26Z |
| format | Article |
| id | doaj.art-1c37d75bb5a24badaedd51299d548c7e |
| institution | Directory Open Access Journal |
| issn | 1881-3054 |
| language | English |
| last_indexed | 2024-12-11T17:43:26Z |
| publishDate | 2021-07-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Journal of Advanced Mechanical Design, Systems, and Manufacturing |
| spelling | doaj.art-1c37d75bb5a24badaedd51299d548c7e2022-12-22T00:56:27ZengThe Japan Society of Mechanical EngineersJournal of Advanced Mechanical Design, Systems, and Manufacturing1881-30542021-07-01155JAMDSM0056JAMDSM005610.1299/jamdsm.2021jamdsm0056jamdsmDesign of developable surfaces using the given data pointsKotaro YOSHIDA0Hidefumi WAKAMATSU1Eiji MORINAGA2Seichiro TSUTSUMI3Takahiro KUBO4Graduate School of Engineering, Osaka UniversityGraduate School of Engineering, Osaka UniversityGraduate School of Humanities and Sustainable System Sciences, Osaka Prefecture UniversityJoining and Welding Reserach Institute, Osaka UniversityWacoal Holdings CorporationMany products such as ships, buildings, and clothes contain developable surfaces generated by sweeping a straight line along a three-dimensional curve. An automated design process does not exist due to difficulties satisfying the conditions of a developable surface. This study proposes a method to design a developable surface from the intended data points using the design process of a two-piece brassiere cup as an example. Here, we model a developable surface based on the differential geometry, which converts the design to its boundary curves. Then we formulate the error between the developable surface and the data points from the geometry condition and the optimization problem in the design process. Our method is verified by applying it to three examples: a shape composed of two developable surfaces, a sphere, which is a non-developable surface, and a realistic breast shape.https://www.jstage.jst.go.jp/article/jamdsm/15/5/15_2021jamdsm0056/_pdf/-char/endevelopable surfacedesignshape optimizationdifferential geometryautomationcad |
| spellingShingle | Kotaro YOSHIDA Hidefumi WAKAMATSU Eiji MORINAGA Seichiro TSUTSUMI Takahiro KUBO Design of developable surfaces using the given data points Journal of Advanced Mechanical Design, Systems, and Manufacturing developable surface design shape optimization differential geometry automation cad |
| title | Design of developable surfaces using the given data points |
| title_full | Design of developable surfaces using the given data points |
| title_fullStr | Design of developable surfaces using the given data points |
| title_full_unstemmed | Design of developable surfaces using the given data points |
| title_short | Design of developable surfaces using the given data points |
| title_sort | design of developable surfaces using the given data points |
| topic | developable surface design shape optimization differential geometry automation cad |
| url | https://www.jstage.jst.go.jp/article/jamdsm/15/5/15_2021jamdsm0056/_pdf/-char/en |
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