On a flexible multibody modelling approach using FE-based contact formulation for describing gear transmission error

Abstract

This paper provides an insight into the efficiency and accuracy of a multibody approach to model gear transmission error. The multibody model is based on an augmented Lagrangian contact formulation considering a surface-to-surface contact detection. The case of spur and helical gears transmitting power between parallel shafts is considered. The static transmission error is computed without any assumptions about the contact lines positions and orientations. Tooth and wheel body flexibility and tooth profile deviations are taken into account. The main objective of this study is to evaluate the efficiency and possibilities of the proposed methodology. To this end, the static transmission error is benchmarked against the results obtained from a classical approach which is based on the computation of the equation describing the static equilibrium of the gear pair for a set of successive positions of the driving wheel.

A decomposition method for the fast computation of the transmission error of gears with holes

“…This section presents the original elastic multibody formulation recently proposed in [2] which is used as the reference model. The flexible multibody model solves a frictionless contact problem within the FE method.…”

“…This modification is used to optimize the thin-rimmed gears and to reduce the gear mass about 25% and the dynamic mesh forces about 68%. Moreover, a recent fully flexible multibody approach has been proposed to compute the STE for any kind of gears, especially gears with thin rim bodies or holes [2]. It consists of a complete FE model without restrictive assumptions concerning the mesh contact.…”

Dynamic response analysis of functionally graded gears

“…It clubs the advantages of impenetrability and improved convergence and has been widely used for contact analysis of gear pairs. [62][63][64] A 2D FE model of complete gear assembly is created using SHELL181 elements, with each node having 6 degrees of freedom. A torque of 133.67 Nm (T p ) is applied to the hub of the pinion.…”

“…It clubs the advantages of impenetrability and improved convergence and has been widely used for contact analysis of gear pairs. 62–64…”

Dynamic modeling and analysis of elastic isolation damping gears

“…Jiang et al [16] developed a dynamic model of helical gears with coupled sliding friction, the results show that the oscillations of the dynamic transmission error become more significant incorporating the effects of coupled sliding friction. Benaicha et al [17] provided an insight into the efficiency and accuracy of a multibody approach to model gear transmission error, the proposed methodology can include micro-geometry deviations, additional flexible mechanical components and specific design of the gear body.…”