Robust design of vibro-impacting geared systems with uncertain tooth profile modifications via bifurcation tracking - Archive ouverte HAL Access content directly
Journal Articles International Journal of Non-Linear Mechanics Year : 2022

Robust design of vibro-impacting geared systems with uncertain tooth profile modifications via bifurcation tracking

Abstract

The present work investigates the influence of uncertain tooth profile modifications on the nonlinear dynamic response of a spur gear pair induced by a backlash nonlinearity. To this end, an original approach based on bifurcation tracking is developed. The equations of motion are solved in the frequency domain with the harmonic balance method (HBM) coupled to an arc-length continuation algorithm and a bordering technique. The evolution of the bifurcation points with respect to the uncertain parameter is computed in a deterministic way. The study focuses on minimizing the amplitude-jump instabilities induced by the backlash nonlinearity around the primary resonance peak. The proposed methodology allows for a fast and reliable estimation of the tooth profile modification that minimizes the amplitude-jump instability by defining two criteria using the results of the bifurcation tracking algorithm. Probability density functions (PDF) of various indicators of the severity of vibro-impacts can be computed with Monte-Carlo (MC) simulation with minimal computational burden. Results show that the tooth profile modification that minimizes the amplitude-jump instabilities differs from the optimum obtained with static computations.
Fichier principal
Vignette du fichier
preprint_robust_design_bifurcation_tracking_melot.pdf (781.77 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-03812342 , version 1 (12-10-2022)

Identifiers

Cite

Adrien Mélot, Emmanuel Rigaud, Joël Perret-Liaudet. Robust design of vibro-impacting geared systems with uncertain tooth profile modifications via bifurcation tracking. International Journal of Non-Linear Mechanics, 2022, ⟨10.1016/j.ijnonlinmec.2022.104336⟩. ⟨hal-03812342⟩
33 View
50 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More