Nonlinear Dynamics Modeling and Analysis of Torsional Spring-Loaded Antibacklash Gear with Time-Varying Meshing Stiffness and Friction

Abstract

Torsional spring-loaded antibacklash gear which can improve the transmission precision is widely used in many precision transmission fields. It is very important to investigate the dynamic characteristics of antibacklash gear. In the paper, applied force analysis is completed in detail. Then, defining the starting point of double-gear meshing as initial position, according to the meshing characteristic of antibacklash gear, single-or double-tooth meshing states of two gear pairs and the transformation relationship at any moment are determined. Based on this, a nonlinear model of antibacklash gear with time-varying friction and meshing stiffness is proposed. The influences of friction and variations of torsional spring stiffness, damping ratio and preload on dynamic transmission error (DTE) are analyzed by numerical calculation and simulation, and the results show that antibacklash gear can increase the composite meshing stiffness; when the torsional spring stiffness is large enough, the oscillating components of the DTE (ODTE) and the RMS of the DTE (RDTE) trend to be a constant value; the variations of ODTE and RDTE are not significant, unless preload exceeds a certain value.

Coupled multi-DOF dynamic contact analysis model for the simulation of intermittent gear tooth contacts, impacts and rattling considering backlash and variable torque

“…This is the simplest class of models, anticipating only torsional vibration and modelling tooth mesh excitation by means of a spring and damper element with time-varying stiffness along the line of action, [2][3][4][5][6][7][8][9][10][11][12] potentially also incorporating a step-function element for backlash, or by directly incorporating impact impulses. 13,14 Considering the discontinuity introduced by backlash has made it possible to anticipate tooth separation and chaotic responses 7,8,[14][15][16][17] and double-sided tooth contact has also been described for spring-loaded zero-backlash gears.…”

“…13,14 Considering the discontinuity introduced by backlash has made it possible to anticipate tooth separation and chaotic responses 7,8,[14][15][16][17] and double-sided tooth contact has also been described for spring-loaded zero-backlash gears. 12 Figure 1. Schematic explanation of the effect of the dynamical transmission error on the alternation of the tooth contact side.…”

“…18,19 By this time one might expect that the torsional class of models might have been fully replaced by more comprehensive multi-dimensional models, but apparently they remain attractive due to their simplicity. 12 The question is: Are they reasonably accurate? Kahraman and Blankenship [15][16][17] have been able to reproduce trends from experimental results with torsional models mainly by modelling backlash.…”

Optimization of The Mechanical Drive on Set-up of Homemade Surface Plasmon Resonance

“…Lindsay (2012) has designed a gear called Torsional Spring-Loaded Anti-backlash Gear, the design uses two gears on one axle but between the first and second gears have different pressure orientations. This design has been examined for performance before being encumbered by Yang et al (2013) and its non-linear performance after being encumbered by Yang et al (2015). Therefore, this design is appropriate for reducing the backlash so that the angle comes in the prism on the SPR instrument more accurately.…”