Modeling and Dynamic Analysis of Planetary Gear Transmission Joints with Backlash

Abstract

Abstract

Modelling of the gear backlash

“…An alternative approach to the numerical mapping of the backlash is the approximation with a continuous function, with the equation proposed in the paper [12]. The use of this type of simplification is mainly related to the strong nonlinearity of gear backlash, which causes computational problems, in particular manifested by inaccurate mapping of time series and derivatives of higher orders in generalized coordinates [13]. Meshing stiffness is variable and is directly related to the number of intermeshing teeth.…”

Simplified Single-Stage Planetary Gearbox and Rolling Element Bearings Dynamic Analysis Using Lagrange’s Theorem and Comparison of Vulnerable Frequencies of Vibration

“…The parameters for the elements of the planet gearbox are in Table 1. Assuming that the constant part of the teeth stiffness was equal = 10 / , the bearing stiffness was taken as equal to 10 / , see reference [4] and [25] for details. The varying part of the teeth stiffness was taken as smaller ϵ = 10 relative to the constant part of the form [26].…”

“…Planetary gearboxes have many vibration sources, and these vibrations mainly come from the bearings and gears during meshing. The failure of any parts in an epicyclic gearbox could lead to the catastrophic failure of the whole drive train [4]. A planetary gearbox comprises four main elements that produce a wide range of speed ratios, i.e.…”

“…Past research in planetary gearbox diagnostics and prognostics has hugely contributed to the advancement of gearboxes and their reliability. He and Jia [4] developed a numerical model for studying the dynamic response of a single-stage planetary gearbox with a backlash effect using the Newtonian lumped mass parametric method. The study confirms a significant change in vibration present when there is an increment in backlash.…”