On the Boundary between Nonlinear Jump Phenomenon and Linear Response of Hypoid Gear Dynamics | Zendy

Jun Wang | Zendy; Teik C. Lim | Zendy

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On the Boundary between Nonlinear Jump Phenomenon and Linear Response of Hypoid Gear Dynamics

Author(s) -

Jun Wang,

Teik C. Lim

Publication year - 2011

Publication title -

advances in acoustics and vibration

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.237

H-Index - 14

eISSN - 1687-627X

pISSN - 1687-6261

DOI - 10.1155/2011/583678

Subject(s) - backlash , jump , nonlinear system , stiffness , discontinuity (linguistics) , control theory (sociology) , structural engineering , spiral bevel gear , spiral (railway) , mechanics , engineering , mathematics , computer science , mathematical analysis , physics , mechanical engineering , control (management) , quantum mechanics , artificial intelligence

A nonlinear time-varying (NLTV) dynamic model of a hypoid gear pair system with time-dependent mesh point, line-of-action vector, mesh stiffness, mesh damping, and backlash nonlinearity is formulated to analyze the transitional phase between nonlinear jump phenomenon and linear response. It is found that the classical jump discontinuity will occur if the dynamic mesh force exceeds the mean value of tooth mesh force. On the other hand, the propensity for the gear response to jump disappears when the dynamic mesh force is lower than the mean mesh force. Furthermore, the dynamic analysis is able to distinguish the specific tooth impact types from analyzing the behaviors of the dynamic mesh force. The proposed theory is general and also applicable to high-speed spur, helical and spiral bevel gears even though those types of gears are not the primary focus of this paper

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