Annali di Matematica Pura ed Applicata (1923 -)· 2026Q1
Stressability of semi-discrete frameworks
- 0citations
- Q1SCImago
- 2026year
Short summary
Semi-discrete frameworks generated by smooth curves are stressable if and only if they are orthogonal projections of semi-discrete conjugate nets in 3-space.
AI-generated from the title and abstract; the full text is not read.
Key points
- Stressability of semi-discrete frameworks is characterized by stresses fulfilling a difference-differential equation.
- A semi-discrete height function is defined and used to generate liftings.
- Stressable semi-discrete frameworks in the plane are orthogonal projections of semi-discrete conjugate nets in 3-space.
- Geometric implications for frameworks with vanishing boundary forces are discussed.
AI-generated from the title and abstract; the full text is not read.
Abstract
Abstract In this paper we study the stressability of semi-discrete frameworks in the plane which are generated by a discrete sequence of smooth curves. We characterize their stressability property by the existence of stresses fulfilling certain difference-differential equation. In particular, we define a semi-discrete height function which we use to generate liftings. Furthermore, we show a semi-discrete analogue of the Maxwell–Cremona lifting property which implies that the stressable semi-discrete frameworks in the plane are precisely the orthogonal projections of semi-discrete conjugate nets in 3-space. Finally, we discuss geometric implications for frameworks with vanishing boundary forces and characterize the liftability of frameworks which only consist of two neighboring curves forming one strip.
The authors' abstract, as published at the source. Annali di Matematica Pura ed Applicata (1923 -), 2026 · DOI ↗
Continue with a free account
Ask the paper: 3 free questions a day about this paper; save it, get its citation, new summaries every day for your field. Takeaways are Premium.
Continue free on the webSign in with Google or Apple; no card needed. You come back to this paper.
On your phone:
Field: Civil and Structural Engineering
Civil and Structural EngineeringEngineering