Behavior of principal curvatures of frontals near non-front singular points and their applications

2021 ◽  
Vol 112 (3) ◽  
Author(s):  
Kentaro Saji ◽  
Keisuke Teramoto
2014 ◽  
Vol 38 (4) ◽  
pp. 557-567 ◽  
Author(s):  
Jung-Fa Hsieh

A simple yet comprehensive method is proposed for the design of a Geneva indexing mechanism with curved slots. In the proposed approach, conjugate surface theory is used to derive an analytical description of the profile of the curved slots with and without an offset feature. Analytical formulae are then presented for the pressure angle of the Geneva mechanism and the principal curvatures of the curved slots. The effectiveness of an appropriate offset angle in eliminating the singular points and double-points on the curved slot profile is then demonstrated. Finally, a Geneva mechanism is fabricated in order to demonstrate the feasibility of the proposed approach.


2019 ◽  
Vol 19 (4) ◽  
pp. 541-554 ◽  
Author(s):  
Keisuke Teramoto

Abstract We give criteria for which a principal curvature becomes a bounded C∞-function at non-degenerate singular points of wave fronts by using geometric invariants. As applications, we study singularities of parallel surfaces and extended distance squared functions of wave fronts. Moreover, we relate these singularities to some geometric invariants of fronts.


1978 ◽  
Vol 3 ◽  
pp. 381-386 ◽  
Author(s):  
F. Hardouin ◽  
G. Sigaud ◽  
M.-F. Achard ◽  
H. Gasparoux
Keyword(s):  

1988 ◽  
Vol 154 (3) ◽  
pp. 525 ◽  
Author(s):  
V.P. Antropov ◽  
Valentin G. Vaks ◽  
M.I. Katsnel'son ◽  
V.G. Koreshkov ◽  
A.I. Likhtenshtein ◽  
...  

2006 ◽  
Vol 26 (Supplement2) ◽  
pp. 237-240
Author(s):  
Sinzaburo UMEDA ◽  
Shinji SHIGEYAMA ◽  
Wen-Jei YANG

2010 ◽  
Vol 14 (1) ◽  
pp. 29-56 ◽  
Author(s):  
Marcellino Gaudenzi ◽  
Antonino Zanette ◽  
Maria Antonietta Lepellere

2021 ◽  
Vol 16 ◽  
pp. 1467-1479
Author(s):  
Qihao Yin ◽  
Jianjiang Feng ◽  
Jiwen Lu ◽  
Jie Zhou

2001 ◽  
Vol 229 (1) ◽  
pp. 51-71 ◽  
Author(s):  
Walter Eberhard ◽  
Gerhard Freiling ◽  
Kerstin Wilcken-Stoeber

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