Experimental study on transmission error and dynamic backlash of elliptic gear transmission system

Abstract

The transmission error of the gear transmission system is the main factor affecting its transmission performance. The expansion of special applications of elliptic gear transmission system and the improvement of transmission accuracy requirements put forward higher requirements for its transmission performance. Although many works have been presented to study the transmission error of cylindrical gear transmission system, a few works were focused on the transmission error of elliptic gears for the reason of the inconsistency of the tooth profile of the elliptic gear pair, the difficulty of establishing a transmission error model and obtaining the dynamic backlash. To overcome this problem, the theoretical model of the transmission error and backlash of the elliptic gear pair is proposed and established based on the meshing line incremental method. The ellipse gear transmission test-rig is built and the transmission test is carried out on it. Finally, the correctness of the theoretical model is verified. The results show that the dynamic backlash of the elliptic gear pair can be obtained through the bidirectional transmission error curve. The dynamic transmission error has a negative correlation with the speed and has a positive correlation with the load torque. The dynamic backlash shows an increasing relationship with the increase of speed and load torque. The research results of this article can provide a certain theoretical basis for the anti-backlash control of the elliptic gear transmission system and the improvement of transmission performance.

Design of piecewise deformed elliptical gear with closed pitch curve and its conjugate pair

“…It can be seen that the driven gear is also a high-order elliptical gear. This high-order elliptical gear belongs to a special case of a family of elliptical gears studied in reference 20 , consistent with the results of this article. Furthermore, when N =1 and m 1 = 1, the high-order elliptical gear evolves into an elliptical gear.…”

Experimental Research on Transmission Characteristics of Elliptic Gear Transmission Systems

“…The elliptic gear transmission test rig; a) overall structure, and b) partial view of adjustable parts design, and time-varying meshing characteristics of elliptic gear, and then be used to guide the numerical control machining and error detection of elliptic gear. The elliptic gear transmission test-bench adopts a horizontal mechanism, which is mainly comprises mechanical transmission system, measurement, and control system and data acquisition part [3]. Fig.…”

“…The established test rig is equipped with high-precision grating sensor system, high-precision torque sensor system and special measurement software to realize the automatic measurement of various performance of precision reducer. The reducer mounting bracket used in the test is fixed on the base, and a linear guide rail is installed on the platform base to realize the movement of each component [3]. The left-hand wheel and the right-hand wheel in Fig.…”

“…Lost motion is an important factor to determine the transmission accuracy of a gear transmission system. When the movement direction of the gear system changes suddenly at a certain time, a certain lag appears in the output shaft, which will increase the dynamic transmission error of system [3]. Elliptic gears can realize specific motion laws of periodic motion, reciprocating motion, forward and reverse motion, etc.…”

“…Transmission testing is an effective method to analyse the transmission performance of gear systems. Through the experimental analysis of the transmission characteristics of elliptic gears, transmission performance can be significantly improved and its application expanded [3].…”