In this study, a new antibacklash gear mechanism design comprising three pinions and a rack is introduced. This mechanism offers several advantages compared to conventional antibacklash mechanisms, such as lower transmission error as well as lower required preload. Nonlinear dynamic modeling of this mechanism is developed to acquire insight into its dynamic behavior. It is observed that the amount of preload required to diminish the backlash depends on the applied input torque and nature of periodic mesh stiffness. Then, an attempt is made to obtain an approximate relation to find the minimum requiring preload to preserve the system’s antibacklash property and reduce friction and wear on the gear teeth. The mesh stiffness of the mated gears, rack, and pinion is achieved via finite element method. Assuming that all teeth are rigid and static transmission error is negligible, dynamic transmission error (DTE) would be zero for every input torque, which is a unique trait, not yet proposed in previous research.

References

References
1.
Guoming
,
L.
,
2001
, “
Calculation and Analysis of Double Gear’s Inherent Frequency
,”
Electro-Mech. Eng.
,
3
, pp.
11
12
.
2.
Imasaki
,
N.
, and
Tomizuka
,
M.
,
1995
, “
Adaptive Control of Robot Manipulators With Anti-Backlash Gears
,” The
IEEE
International Conference on Robotics and Automation
,
Nagoya
, pp.
306
311
.10.1109/ROBOT.1995.525302
3.
Shim
,
S. B.
,
Park
,
Y. J.
, and
Kim
,
K. U.
,
2008
, “
Reduction of PTO Rattle Noise of an Agricultural Tractor Using an Anti-Backlash Gear
,”
Biosyst. Eng.
,
100
(
3
), pp.
346
354
.10.1016/j.biosystemseng.2008.04.002
4.
Kwon
,
Y. S.
,
Hwang
,
H. Y.
,
Lee
,
H. R.
, and
Kim
,
S. H.
,
2004
, “
Rate Loop Control Based on Torque Compensation in Anti-Backlash Geared Servo System
,”
American Control Conference
,
Boston, MA
, pp.
3327
3332
.
5.
Allan
,
P. M.
, and
Levy
,
N. M.
,
1980
, “
The Determination of Minimum Pre-Load Torque for Anti-Backlash Gears in a Positional Servomechanism
,”
IEEE Trans. Ind. Electron. Control Instrum.
,
27
(
1
), pp.
1232
1239
.10.1109/TIECI.1980.351657
6.
Boyuan
,
M.
, and
Zhiwu
,
L.
,
2001
, “
Drive Chain Return Difference Analysis and Estimate of Spring-Loaded Anti-Backlash Gear
,”
Mech. Des.
,
6
, pp.
40
42
.
7.
Cairnes
,
C. W.
,
1953
, “
Anti-Backlash Gearing
,” U.S. Patent No. 2663198.
8.
Wang
,
J.
,
Li
,
R.
, and
Peng
,
X.
,
2003
, “
Survey of Nonlinear Vibration of Gear Transmission Systems
,”
ASME Appl. Mech. Rev.
,
56
(
3
), pp.
309
329
.10.1115/1.1555660
9.
Besharati
,
S. R.
,
Sarhan
,
A. A.
, and
Hamdi
,
M.
,
2012
, “
Gear Backlash Compensation Mechanism (GBCM) in Rack and Pinion System
,” U.S. Patent Pending, PI No. 2012 701279.
You do not currently have access to this content.