Sign in
Author

Conference

Journal

Organization

Year

DOI
Look for results that meet for the following criteria:
since
equal to
before
between
and
Search in all fields of study
Limit my searches in the following fields of study
Agriculture Science
Arts & Humanities
Biology
Chemistry
Computer Science
Economics & Business
Engineering
Environmental Sciences
Geosciences
Material Science
Mathematics
Medicine
Physics
Social Science
Multidisciplinary
Keywords
(5)
Analytic Solution
Equation of Motion
Magnetic Fluid
Oscillations
Wc N
Subscribe
Academic
Publications
Lapping of ultraprecision ball surfaces. Part II. Eccentric Vgroove lapping system
Lapping of ultraprecision ball surfaces. Part II. Eccentric Vgroove lapping system,10.1016/j.ijmachtools.2005.08.006,International Journal of Machin
Edit
Lapping of ultraprecision ball surfaces. Part II. Eccentric Vgroove lapping system
BibTex

RIS

RefWorks
Download
RongTsong Lee
,
YihChyun Hwang
,
YuangCherng Chiou
A general closedform analytical solution is derived for the kinematics of the eccentric Vgroove lapping system. Since, the ballspin angular speed with its angle, continuously varies with time for the eccentric lapping system and its oscillation increases with increasing eccentricity, lapping tracks are able to be distributed over the whole ball surface without the interrupted process, therefore, the efficiency of ball lapping becomes higher. Consequently, an approach is proposed to linearize the
equation of motion
in evaluating the lapping tracks, where the spin vector is assumed to be constant in each time step. Results show that the lapped area ratio is significantly influenced by the spin angular speed and its increment rate. For the spin angle linearly varied with time, it is interesting to find that the lapped area ratio is significantly influenced by the ratio of the total frequency to the increment rate of the spin angle, wt/wc. With increasing wt/wc, the lapped area ratio increases quickly to a saturated value close to one except wt/wc∈N. For a triangular periodic function of the spin angle with frequency, w, and the amplitude, a, the lapped area ratio varies with wt/w very quickly for wt/w less than two, and as wt/w is larger than eight, it approaches to a saturated value except wt/w∈N. Since, the spin angular speed with its angle continuously varies with time for the eccentric lapping system, the lapped areas are complementary at the contact points of A and B. The total lapped area ratio is higher than 87% for a slip ratio less than 0.5. Hence, it is possible to lap all the surface of a ball by changing the slip ratio during the lapping process. The total lapped area increases to a saturated value with increasing eccentricity. The eccentricity is suggested to be 2Rb for θ=45° and Rg/Rb=5. This result is in very good agreement with the Zhang's experiment [B. Zhang, N. Umehara, K. Kato, Effect of the eccentricity between the driving shaft and the guide ring on the behavior of
magnetic fluid
grinding of ceramic balls, J. JSPE 61 (4) (1995) 586–590 (in Japanese)].
Journal:
International Journal of Machine Tools & Manufacture  INT J MACH TOOL MANUF
, vol. 46, no. 10, pp. 11571169, 2006
DOI:
10.1016/j.ijmachtools.2005.08.006
Cumulative
Annual
View Publication
The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
(
www.sciencedirect.com
)
(
linkinghub.elsevier.com
)
References
(3)
Spherical surface generation mechanism in the grinding of balls for ultraprecision ball bearings
(
Citations: 2
)
B Zhang
,
A Nakajima
Journal:
Proceedings of The Institution of Mechanical Engineers Part Jjournal of Engineering Tribology  PROC INST MECH ENG JJ ENG TR
, vol. 214, no. 4, pp. 351357, 2000
A novel eccentric lapping machine for finishing advanced ceramic balls
(
Citations: 8
)
J. Kang
,
M. Hadfield
Journal:
Proceedings of The Institution of Mechanical Engineers Part Bjournal of Engineering Manufacture  PROC INST MECH ENG BJ ENG MA
, vol. 215, no. 6, pp. 781795, 2001
Parameter optimization by Taguchi methods for finishing advanced ceramic balls using a novel eccentric lapping machine
(
Citations: 11
)
J. Kang
,
M. Hadfield
Journal:
Proceedings of The Institution of Mechanical Engineers Part Bjournal of Engineering Manufacture  PROC INST MECH ENG BJ ENG MA
, vol. 215, no. 1, pp. 6978, 2001