Effect of Involute Tip Relief on Dynamic Response of Spur Gear Pairs

Abstract

The influence of gear tooth flank modifications in the form of linear involute tip relief on the torsional vibration behavior of a spur gear pair is investigated by using an experimental test stand. Measured dynamic transmission error (DTE) values are compared and a family of forced response curves is presented. Guidelines for the design of quiet spur gear sets are also given.

Non-Linear Dynamic Response of a Spur Gear Pair: Modelling and Experimental Comparisons

“…Additional features that result from the "nite element approach are that coupling to #exible shafts, bearings, and housings can be handled naturally, gear geometry errors and tooth-to-tooth variability can be easily analyzed, elastic deformations of the gear bodies are modelled, friction at the tooth surface can be included in the contact analysis [10], and pro"le modi"cations of magnitudes used in practice are modelled by the rede"nition of the tooth surface without remeshing. This last point is true because local tooth deformations near the surface are handled by an analytical model near the inner region of Figure 3; small pro"le modi"cations a!ect A JMA?J in equation (17) and not the "nite element matrices in equation (6). A discrete, s.d.o.f.…”

“…The desired outputs are the rotational vibrations of each gear, expressed as the dynamic transmission error D¹E"r #r (Figure 2), and the net tooth contact force calculated from the contact force vector p at each meshing tooth. Note that are the elements of x P in equation (6). The mesh in Figure 1 shows a tooth section mesh and a central gear mesh.…”

Nonlinear dynamics of idler gear systems

“…For high contact ratio spur gears or helical gears, ε is much less. In practice, ε < 0.5 according to prior approximations [7,37].…”

Experiment and Simulation Study on the Gear Tooth Modification of Helical Gear Pair based on Dynamic Performances

“…"Typical traditional approach" to gear tooth modifications design refines microgeometry by experience/experiment and repeated prototyping [6]. An experimental study is the most effective approach to evaluate the effect of GTM on vibration reduction, and many experiments were performed to analyze the effect of the GTM on vibration [7][8][9][10]. Obviously, this method is at high economical and time cost.…”

“…Obviously, this method is at high economical and time cost. With the development of high-performance computers, numerical models and finite element analysis (FEA) models have become popular for studying the modification parameter and its effect on the gear performance [1,7,[11][12][13][14][15][16][17]. These studies provide an approach to studying the dynamics of gear meshing process, although they did not study the effect of different GTM methods and its corresponding parameters on TE.…”