Results 81 to 90 of about 139 (117)
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New shape design method of an epicycloidal gear for an epicycloid drive
SPIE Proceedings, 2005This paper proposed a new approach to the shape design of an epicycloidal gear, which is a key part of an epicycloidal drive with a fixed outer ring. Applying the concept of instant center of velocity of a contact mechanism to the drive, this paper derived the analytical equation fot designing the epicycloidal plate gear, including the generation of ...
Joong-Ho Shin +3 more
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Circles, chords and epicycloids
The Mathematical Gazette, 1989In a recent session of the Royal Institution Master Classes in Cambridge, the enthusiastic participants explored a computer graphics program, designed and written by Derek and Alan Ball. The program first draws a circle, and, given an integer N , marks N
A. F. Beardon, L. A. Beardon
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From Curve Stitching to Epicycloids
School Science and Mathematics, 1996The exploration of curves that seem to appear in drawings made of straight lines is fascinating and interesting to learners from the very young to the quite mature. Consistent with the Curriculum and Evaluation Standards for School Mathematics, problem solving, reasoning, communication, and connections are integrated into mathematics learning ...
Alice I. Robold, Peter Yff
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Hermite interpolation by hypocycloids and epicycloids with rational offsets
Computer Aided Geometric Design, 2010The authors show that all rational hypo- and epicycloids have Pythagorean normals and therefore also have rational offsets. Based on this observation, an efficient algorithm for \(G^1\) Hermite interpolation with their arcs is constructed. For all regular data, there is a unique hypo- or epicycloidal arc of the given canonical type.
Zbynek Sír +2 more
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Rolling with and without Slipping, during Epicycloids Generation
Applied Mechanics and Materials, 2018The starting point consists in the modality to generate epicycloids when two external circles are considered. The mobile circle is rolling on the fix circle without slipping, such as two arcs belonging to these circles are equal. The specialty literature presents an example with a simple planetary gear in which the “satellite porting” arm provides the ...
Iulian Popescu +2 more
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Meshing Theory of New Epicycloids Gear Drive
Advanced Materials Research, 2011In order to realize the pure rolling, improve the contact ratio, remove the backlash and raise the life, a new epicycloids gear drive is put forward. The drive part of the particular mechanism is a wheel with the roller tooth and is called the roller gear. And the driven part is the epicycloids gear.
Yun Na Xue, Yong Wang, Zheng Wang
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Some properties of generalized epicycloids applied to fracture mechanics
Zeitschrift für angewandte Mathematik und Physik ZAMP, 1971La reflexion partielle d'un faisceau lumineux sur le revers d'une plaque mince en plexiglas comportant une fissure interieure symetrique formant un angle quelconque avec l'axe d'application de la charge exterieure, cree des deviations des rayons reflechis dans la zone contractee qui entoure l'extremite de la fissure.
Theocaris, P. S., Joakimides, N.
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A Classification of Closed Hypocycloids and Epicycloids
Mathematics Magazine, 2023Zarema Seidametova, Valerii Temnenko
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