Research on dynamic characteristics of gear system considering the influence of temperature on material performance

Abstract

Under high-speed and heavy-load conditions, the influence of temperature on the gear system is extremely important. Basically, the current work on the effect of temperature mostly considers the flash temperature or the overall temperature field to cause expansion at the meshing point and then affects nonlinear factors such as time-varying meshing stiffness, which lead to the deterioration of the dynamic transmission. This work considers the effect of temperature on the material’s elastic modulus and Poisson’s ratio and relates the temperature to the time-varying meshing stiffness. The effects of temperature on the elastic modulus and Poisson’s ratio are expressed as functions and brought into the improved energy method stiffness calculation formula. Then, the dynamic characteristics of the gear system are analyzed. With the bifurcation diagram, phase, Poincaré, and fast Fourier transform plots of the gear system, the influence of temperature on the nonlinear dynamics of the gear system is discussed. The numerical analysis results show that as the temperature increases, the dynamic response of the system in the middle-speed region gradually changes from periodic motion to chaos.

Vibration Response Analysis of a Gear-rotor-bearing System Considering Steady-state Temperature

“…The TVMS model used in this paper is described in Ref. [35], and its solution expressions are as follows:…”

“…where  1 and  2 denote the correction coefficients of the fillet-foundation stiffness, k h , k a , k b , k s and k f are the non-linear Hertzian contact stiffness, axial compressive stiffness, bending stiffness, shear stiffness and fillet-foundation stiffness, respectively, which can be found in Ref. [35]. n is the number of teeth pairs in engagement.…”

“…The results shown that temperature affects the dynamic response of the gear system by changing the involute meshing characteristics and meshing rigidity of the gear. Sun et al [35] established a single-degree-freedom lumped parameter gear system model, and based on the change of material properties, studied the influence of temperature on the dynamic response of the system. The results shown that the influence of temperature was concentrated in the middle and high speed.…”

Nonlinear dynamics analysis of a gear system considering tooth contact temperature and dynamic wear

“…1 Moreover, due to the tooth surface friction, the TCT increases, which induces thermal expansion and modifies the gear meshing characteristics and dynamic characteristics. 2 Consequently, it is essential to research gear dynamics considering TCT and dynamic wear.…”

“…The thermal meshing stiffness is expressed by mathematical expression, the variation of backlash caused by heat is calculated, and the variation trend of nonlinear dynamic characteristics with temperature is obtained. Sun et al 2 expressed the influence of temperature on the Poisson’s ratio and elastic modulus of gear by mathematical expression, and combined it with the improved calculation formula of meshing stiffness to obtain the meshing thermal stiffness. Afterward, the dynamic behaviors of gear system is studied.…”