Dynamic modeling of double helical gears

Abstract

There are few publications on the dynamic model of double helical gears considering axial vibration. In the present dynamic model, it is thought that the axial force of the left and right ends generated by tooth meshing can offset each other. Because of the existence of manufacture and installation, the axial force of the left and right ends cannot completely offset which will cause the axial vibration. In this paper, a dynamic model of double helical gears is proposed. Firstly, the calculated model of axial displacement caused by the errors of manufacture and installation under low speed is proposed. Secondly, the dynamic model of double helical gears considering axial vibration and backlash is built. On this basis, the dynamic equations of this system are established and solved. Finally, a pair of double helical gears is taken as an example. The axial displacement is calculated out and compared with that from the experiment. The dynamic behaviors of double helical gears are studied.

Alın dişlilerin yığılı parametre ve sonlu elemenlar yöntemiyle modal davranışının incelenmesi

“…The gear mesh stiffness value was determined based on the initial finite element analyses. Support stiffness values of the gears were selected as reasonable based on the values in the literature [6,8,10]. After the execution of both methods, the natural frequencies and mode shapes of the test cases were calculated.…”

“…Therefore, the torsional model is expanded to the torsionaltransverse model with the consideration of gear vibrations in transverse directions. The so-called torsional-transverse mode has three degrees of freedom (DOF) [10]. On the other hand, the torsional-transverse model could not be sufficient for the dynamic analysis of helical gear pairs because of the occurrence of axial forces in them.…”

“…For this reason, the three-dimensional model, which has six degrees of freedom, has recently been developed by adding axial and tilting motions to the torsionaltransverse model [6,8,11]. Furthermore, computed vibrational responses from the linear lumped parameter models of gear systems were validated with the experimental studies, whereas these studies does not include the validation of the modal behaviour of gear pairs [10,11]. Nonlinear vibration behaviour of spur gears is also shown by numerous numerical [12][13][14][15][16][17][18][19][20][21][22][23][24][25] and experimental studies [26][27][28].…”

Three-dimensional static meshing characteristic analysis and vibration reduction design of a double helical gear

“…According to the established tooth contact analysis (TCA) and loaded tooth contact analysis (LTCA) models of a double helical gear, axial displacement of a pinion under short and long periods was calculated. Then, Wang et al (2018) established a dynamic model of a double helical gear pair considering time-varying meshing stiffness, meshing impact, meshing error, axial displacement excitation, and backlash. The research results indicate that the influence of double helical gear axial vibration cannot be ignored.…”

Dynamic model of a helical gear pair considering tooth surface friction

“…But there is a non-negligible shortcoming that the gear drive system is a complex nonlinear dynamic system. To improve the stability and controllability of the gear transmission system, the study of nonlinear dynamics of the gear transmission system has become one of the hot topics in recent years (Han and Qi, 2017; Huang et al, 2011; Stringer et al, 2011; Wan et al, 2015; Wang et al, 2018). Tooth surface friction is one of the important sources of gear vibration and noise.…”