Torses with Two Curves in Intersecting Planes and with Parallel Axes
Methods for designing torse surfaces with two specified plane directrix curves in intersecting planes, which are projected onto the opposite sides of an arbitrary plane quadrilateral base, are studied and implemented. The other two sides of the base coincide with the two genertrix lines. The theoret...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Peoples’ Friendship University of Russia (RUDN University)
2025-07-01
|
| Series: | Structural Mechanics of Engineering Constructions and Buildings |
| Subjects: | |
| Online Access: | https://journals.rudn.ru/structural-mechanics/article/viewFile/45221/25135 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849709057921777664 |
|---|---|
| author | Sergey N. Krivoshapko |
| author_facet | Sergey N. Krivoshapko |
| author_sort | Sergey N. Krivoshapko |
| collection | DOAJ |
| description | Methods for designing torse surfaces with two specified plane directrix curves in intersecting planes, which are projected onto the opposite sides of an arbitrary plane quadrilateral base, are studied and implemented. The other two sides of the base coincide with the two genertrix lines. The theoretical construction techniques are illustrated and visualized using computer graphics for four torse surfaces. Parabolas of the second and fourth orders and a hyperbola are chosen as the directrix curves. The geometric and strength studies on torse surfaces and shells that have been conducted by scientists over the past 10 years are briefly described. They show that interest in their study is not fading, but is moving towards computer modeling and comparative strength calculations using the finite element method. The directions in research of various torses, that are desirable to extend to the torse surfaces proposed for implementation, are illustrated. |
| format | Article |
| id | doaj-art-4902f5f8a4fc4e04b27eab8b39d5aaca |
| institution | DOAJ |
| issn | 1815-5235 2587-8700 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Peoples’ Friendship University of Russia (RUDN University) |
| record_format | Article |
| series | Structural Mechanics of Engineering Constructions and Buildings |
| spelling | doaj-art-4902f5f8a4fc4e04b27eab8b39d5aaca2025-08-20T03:15:27ZengPeoples’ Friendship University of Russia (RUDN University)Structural Mechanics of Engineering Constructions and Buildings1815-52352587-87002025-07-0121215516610.22363/1815-5235-2025-21-2-155-16621079Torses with Two Curves in Intersecting Planes and with Parallel AxesSergey N. Krivoshapko0https://orcid.org/0000-0002-9385-3699RUDN UniversityMethods for designing torse surfaces with two specified plane directrix curves in intersecting planes, which are projected onto the opposite sides of an arbitrary plane quadrilateral base, are studied and implemented. The other two sides of the base coincide with the two genertrix lines. The theoretical construction techniques are illustrated and visualized using computer graphics for four torse surfaces. Parabolas of the second and fourth orders and a hyperbola are chosen as the directrix curves. The geometric and strength studies on torse surfaces and shells that have been conducted by scientists over the past 10 years are briefly described. They show that interest in their study is not fading, but is moving towards computer modeling and comparative strength calculations using the finite element method. The directions in research of various torses, that are desirable to extend to the torse surfaces proposed for implementation, are illustrated.https://journals.rudn.ru/structural-mechanics/article/viewFile/45221/25135torse surfacearbitrary quadrilateral basetorse designcoplanarity of three vectorstorse implementationdevelopable helicoid |
| spellingShingle | Sergey N. Krivoshapko Torses with Two Curves in Intersecting Planes and with Parallel Axes Structural Mechanics of Engineering Constructions and Buildings torse surface arbitrary quadrilateral base torse design coplanarity of three vectors torse implementation developable helicoid |
| title | Torses with Two Curves in Intersecting Planes and with Parallel Axes |
| title_full | Torses with Two Curves in Intersecting Planes and with Parallel Axes |
| title_fullStr | Torses with Two Curves in Intersecting Planes and with Parallel Axes |
| title_full_unstemmed | Torses with Two Curves in Intersecting Planes and with Parallel Axes |
| title_short | Torses with Two Curves in Intersecting Planes and with Parallel Axes |
| title_sort | torses with two curves in intersecting planes and with parallel axes |
| topic | torse surface arbitrary quadrilateral base torse design coplanarity of three vectors torse implementation developable helicoid |
| url | https://journals.rudn.ru/structural-mechanics/article/viewFile/45221/25135 |
| work_keys_str_mv | AT sergeynkrivoshapko torseswithtwocurvesinintersectingplanesandwithparallelaxes |