Vibratory Response of Planetary Gear sets Housing by a Spectral Iterative Approach – Modulation Effects Induced by Carrier Rotation

Optimize the dynamic behavior of your planetary gears using a fast and validated prediction method. Our innovative approach addresses the primary source of vibration— static transmission error and mesh stiffness fluctuations during the meshing process—and provides a comprehensive solution for computing the whining noise caused by multi-mesh excitations.

Why choose our method?

1. Comprehensive Excitation Characterization: We simultaneously analyze all contact points within the multiple gear meshes, capturing the intricate details of internal excitations that impact gear performance.
2. Advanced Dynamic Response Calculation: Utilizing a modal basis projection, we solve the coupled equations of motion with an iterative spectral method, ensuring fast and accurate computation of the dynamic response.
3. Precise Modulation Analysis: Our method evaluates the modulated response of the planetary gear housing, specifically the ring gear, under varying operational conditions. This allows an assessement of how relative positions between planet gears and the ring gear affect the time response.

Our numerical results are not just theoretical—they have been validated with regards to experiments, ensuring accuracy and real-world applicability.

Experience the future of gear system optimization with our cutting-edge analysis technique. Enhance your gear performance, reduce noise, and control the dynamic behavior of complete drivelines.

Special thanks to our university partner, the LTDS (Laboratory of Tribology and System Dynamics of the Ecole Centrale of Lyon) for supporting our research work, and to the ASRC (non-profit association uniting French Private R&T Organizations).

The main source of excitation at the origin of the vibratory response of gear systems is generated by the meshing process, leading to the variation of the mesh stiffness and deviation between the ideal input/output transmission law and the real one. In planetary gears, these phenomena are amplified due to the presence of multiple meshes. Moreover, in operating, the varying relative position between the planet gears and the ring gear is at the origin of a modulation in the temporal response measured on a fixed point on the ring gear housing. The aim of this work is to present a novel method to investigate the dynamic behaviour of a planetary gear set. This method is a complete procedure for a planetary gear system whining noise computation induced by the multi-mesh excitations. This procedure is divided in three main steps. First, the parametrical internal excitations are simultaneously characterized by considering all contacts at the multiple gear meshings. Secondly, the coupled equations of motion are projected onto the modal basis and the stationary dynamic response is computed using an iterative spectral method. Finally, the modulated response of the planeteary gear housing (ring gearà is evaluated. Numerical results are discussed and compared with experimental observations.