Unknown fault diagnosis of planetary gearbox based on optimal rank nonnegative matrix factorization and improved stochastic resonance of bistable system

Yang, Changwei; Li, Hongkun; Cao, Shunxin

doi:10.1007/s11071-022-07846-0

Cited by 6 publications

(1 citation statement)

References 56 publications

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“…However, the vibration and noise problems of PGTs are also prominent due to their complex structure and operating conditions, such as including internal and external meshing gear pairs, single-and double-tooth engagements caused by the non-integer contact ratio, gear separation and back-side tooth contact induced by backlash [1][2][3]. In particular, the long-term accumulation of unhealthy -meshing status or dynamic instability caused by changes in the number of meshing tooth pairs and gear disengagement restricts gear life and aggravates failure behaviors, such as fatigue pitting, root cracking and even fracture of gears, thereby affecting equipment operating accuracy, transmission efficiency and service life [4][5][6]. Therefore, studying the global dynamic instability and health meshing conditions of PGTs based on multi-state engagement (MSE) and revealing the mechanisms of MSE and nonlinear dynamics on dynamic instability are essential to evaluate and improve the dynamic engagement, transmission quality and remaining life of PGTs.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic modeling and global instability analyses of planetary gear trains considering multi-state engagement and tooth-contact temperature effects

Bai,

Qiu,

Shi

et al. 2023

Nonlinear Dyn

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Gear disengaging, back-side tooth contact or poor dynamic behavior during operating leads to dynamic instability in planetary gear trains (PGTs). A novel nonlinear dynamic model of PGTs with internal and external gear pairs considering multi-state engagement induced by backlash and contact ratio is established. An improved time-varying meshing stiffness model including temperature stiffness is analytically derived. The time-varying meshing stiffness with temperature effect, friction, backlash, time-varying pressure angle, and time-varying friction arm are integrated into the dynamic model of PGTs. Multi-state engaging behavior is efficiently identified by constructing different Poincaré mappings. A method to calculate dynamic instability is proposed in the time-domain trace. The intrinsic relationship between multi-state engaging and dynamic instability is investigated via multi-section bifurcation plots and phase trajectory topology. The global dynamic instability is revealed based on the bifurcation and evolution of coexistence behavior under the parameter-state synergy. The results show that the multistate engagement is heavily depending on bifurcation and phase trajectory topology, which whereby affects the dynamic instability. Two special phenomena, complete and incomplete bifurcations, are discovered under parameter-state synergy. Complete bifurcation causes global instability and incomplete bifurcation results in local instability and yields coexistence responses. Incomplete bifurcation brings about new bifurcation branches.

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