Topic
Tractrix
About: Tractrix is a research topic. Over the lifetime, 58 publications have been published within this topic receiving 367 citations.
Papers published on a yearly basis
Papers
TL;DR: In this paper, the authors revisited an algorithm based on the classical tractrix curve to resolve the redundancy in hyper-redundant systems and showed that the tractrix-based algorithm leads to a more natural motion since the motion is distributed uniformly along the entire object with the displacements diminishing from the ''head'' to the ''tail''.
34 citations
TL;DR: In this article, the authors dealt with the deep drawing of circular blanks into cylindrical cups through a Tractrix die using flat-bottomed and hemispherically-ended punches.
31 citations
TL;DR: In this article, a geometrical model of the filament during the fused deposition modeling (FDM) process was firstly proposed based on three different models, tractrix, parabola, and catenary.
Abstract: The geometrical model of the filament during the fused deposition modeling (FDM) process was firstly proposed based on three different models, tractrix, parabola, and catenary. Comparing with the actual measured filament curves on the Stratasys 1600 FDM machine, it is indicated that the tractrix model had the best agreement with the actual measured curves. With the analytical simulation, the nozzle trajectories in the straight-line deposition road, circle road, and arbitrary continuous curve road were deduced, according to the traxtric based geometrical model of the filament.
28 citations
TL;DR: In this paper, a purely geometric and kinematic approach for deriving more natural and length-preserving transformations of planar and spatial curves is presented, where the velocity at any point on the curve must be along the tangent at that point for preserving the length and to yield the feature of diminishing motion.
21 citations
Patent•
22 Apr 1985
TL;DR: In this article, a toothed power transmission belt with belt teeth having flank surfaces in the form of a tractrix curve and a belt sprocket with sprocket teeth having flanks on tractrix curves were shown to have antiratcheting characteristics.
Abstract: A toothed power transmission belt with belt teeth having flank surfaces in the form of a tractrix curve and a belt sprocket with sprocket teeth having flank surfaces in the form of a tractrix curve, together, the belt and sprocket exhibiting smooth running and antiratcheting characteristics
21 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 2 |
| 2020 | 2 |
| 2019 | 1 |
| 2017 | 1 |
| 2016 | 5 |
| 2015 | 3 |