Dynamic Modelling and Analysis of the Microsegment Gear

Abstract

The development of technology requires higher load capacity, rotating speed, power-weight ratio, lower vibration, and noise with respect to the gear transmission. The new type microsegment gear’s tooth profile curve is composed of many microsegments. Previous researches indicate that the microsegment gear has a good static performance, while the dynamic behavior of the microsegment gear has never been investigated. This paper will focus on the dynamic performance of the gear. The profile deviation between microsegment gear and involute gear is regarded as a displacement excitation in the proposed dynamic model. The numerical analysis for three cases is conducted and the results shows that, in low-speed and heavy-load, medium-speed and medium-load conditions, microsegment gear and involute gear both exhibit a good performance, while, in high-speed and heavy-load condition, microsegment gear has a better performance than that of involute gear. The influence of backlash on the dynamic performance is also studied. It is found that the variation of backlash does not change the type of motion, but the vibration amplitude and the stability of the motion are much affected. The main idea in this paper is supposed to provide a novel method for the precision grinding of the microsegment gear.

Modelling of the gear backlash

“…It is worth mentioning that the calculation time of the multi-coloured map of the largest Lyapunov exponent, when the characteristics of backlash was mapped with the discontinuous function (6), was about 41,000 s. In the case of modelling with functions based on polynomials (7) and (8), the calculation times were on a similar level and amounted to approx. 5000 s. On the other hand, in the case of approximation of the characteristics with a logarithmic function (9), the calculation of the multi-coloured map of the largest Lyapunov exponent lasted approx.…”

“…When designing gearboxes, the value of backlash is assumed to be 0.04 of the tooth module. However, according to DIN 3967, its value should be in the range from 100 to 400 μm [8]. Increasing its value causes transmission impact loads, and the cooperation of the gear wheels runs chaotically [9].…”

Chaos and Stability of Spur Gear Transmission System for Locomotive Based on Energy Method and Floquet Theory

“…With the development of nonlinear dynamics theory, the nonlinear characteristics of the geared system including stability, bifurcations, and chaos have become the most interesting research areas [2,3]. Over the past decades, the characteristic analysis above is practically based on the modelling, and thus, modelling of the gear system is considered as a fundamental problem which is still the research hotspot [4,5]. e factors such as backlash [6,7], time-varying mesh stiffness (TVMS) [8,9], and transmission error and lateral-torsional coupled vibration [10,11] will directly affect the dynamics including the stability and reliability of the gear system.…”