Differential geometric formulation of hanging membranes: Shell membrane theory and variational principle
In this paper, we present differential geometric formulation of hanging membrane forms based on the equilibrium equations in the shell membrane theory and the geometric variational problems. We also present the equations of hanging membranes in isothermic coordinates which will be an effective repre...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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World Scientific Publishing
2022-12-01
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| Series: | International Journal of Mathematics for Industry |
| Subjects: | |
| Online Access: | https://www.worldscientific.com/doi/10.1142/S2661335222500046 |
| _version_ | 1797854843609546752 |
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| author | Yoshiki Jikumaru Yohei Yokosuka |
| author_facet | Yoshiki Jikumaru Yohei Yokosuka |
| author_sort | Yoshiki Jikumaru |
| collection | DOAJ |
| description | In this paper, we present differential geometric formulation of hanging membrane forms based on the equilibrium equations in the shell membrane theory and the geometric variational problems. We also present the equations of hanging membranes in isothermic coordinates which will be an effective representation for numerical analysis in our forthcoming paper. |
| first_indexed | 2024-04-09T20:13:54Z |
| format | Article |
| id | doaj.art-17a47973e709480ba1c1e15a94a3b5f7 |
| institution | Directory Open Access Journal |
| issn | 2661-3352 2661-3344 |
| language | English |
| last_indexed | 2024-04-09T20:13:54Z |
| publishDate | 2022-12-01 |
| publisher | World Scientific Publishing |
| record_format | Article |
| series | International Journal of Mathematics for Industry |
| spelling | doaj.art-17a47973e709480ba1c1e15a94a3b5f72023-03-31T12:10:15ZengWorld Scientific PublishingInternational Journal of Mathematics for Industry2661-33522661-33442022-12-01140110.1142/S2661335222500046Differential geometric formulation of hanging membranes: Shell membrane theory and variational principleYoshiki Jikumaru0Yohei Yokosuka1Institute of Mathematics for Industry, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395, JapanDepartment of Architecture & Architectural Engineering, Graduate School of Science and Engineering, Faculty of Engineering, Kagoshima University, 1-21-40 Korimoto, Kagoshima-city, Kagoshima 890-0065, JapanIn this paper, we present differential geometric formulation of hanging membrane forms based on the equilibrium equations in the shell membrane theory and the geometric variational problems. We also present the equations of hanging membranes in isothermic coordinates which will be an effective representation for numerical analysis in our forthcoming paper.https://www.worldscientific.com/doi/10.1142/S2661335222500046Hanging membrane formsshell membrane theoryvariational principleisothermic surfaces |
| spellingShingle | Yoshiki Jikumaru Yohei Yokosuka Differential geometric formulation of hanging membranes: Shell membrane theory and variational principle International Journal of Mathematics for Industry Hanging membrane forms shell membrane theory variational principle isothermic surfaces |
| title | Differential geometric formulation of hanging membranes: Shell membrane theory and variational principle |
| title_full | Differential geometric formulation of hanging membranes: Shell membrane theory and variational principle |
| title_fullStr | Differential geometric formulation of hanging membranes: Shell membrane theory and variational principle |
| title_full_unstemmed | Differential geometric formulation of hanging membranes: Shell membrane theory and variational principle |
| title_short | Differential geometric formulation of hanging membranes: Shell membrane theory and variational principle |
| title_sort | differential geometric formulation of hanging membranes shell membrane theory and variational principle |
| topic | Hanging membrane forms shell membrane theory variational principle isothermic surfaces |
| url | https://www.worldscientific.com/doi/10.1142/S2661335222500046 |
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