Half Width & Phasing Method for reduction of Instabilities of Mesh Stiffness Variation in Two-Stage Gear

ABSTRACT

Parametric instabilities alongside severe vibration within gear systems are as due to variation in mesh stiffness, the meshing tooth stiffness changes with changes in the number of contact teeth. Two-stage gear trains are used in the investigation of the operation conditions resulting in parametric instability, among them idler gear alongside configurations of the countershaft. Two gear pairs with half the breadth as the one of the primary gear pair are used in replacing each of the traditional two-mesh gear pairs. An investigation is done into the primary, secondary, as well as combination instabilities. An analysis is conducted on the impacts of the parameters of the mesh stiffness, among the frequency of mesh, amplitudes of stiffness variation, and contact ratio alongside mesh phasing on such instability. Design formulas have been developed for the case of mesh stiffness variations having rectangular waveforms for regulation of the instability regions through adjustments to the mesh phasing as well as contact ratios. Numerical solutions are applied in the validation of the analytical findings where it is noted that the substituted four gear pairs having proper mesh stiffness parameters remove the instability regions of a traditional two-stage gear train.

KEYWORDS:

• Mesh stiffness
• phasing method
• instability
• two-stage gear

Financial & ethical declarations

This study did not receive any support in the form of funds by in partially or even fully from any funding agency or body.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Data Availability Statement

Data sharing is not applicable to this article as the data that supports the findings of this study is available within the article.

Additional information

Notes on contributors

S. H. Gawande

S. H. Gawande completed Bachelor’s degree in Mechanical Engineering from Amravati University, Amravati in 2001 & Master’s degree in Mechanical Engineering with Design Engineering as specialisation in 2002 from University of Pune. He completed PhD in Mechanical Engineering from Government College of Engineering, Pune (COEP), under University of Pune in 2012. Now he is working as associate professor in mechanical engineering at M. E. Society’s College of Engineering Pune-411001, India from 2004. His area of interest is internal combustion engines, design engineering, tribology and vibration control. He is permanent member of Indian society ISTE from 2005, IACSIT Singapore from 2009 and SAE from 2008.

V.V. Palande

V.V. Palande has obtained his Bachelor’s in Mechanical Engineering from PDEA’s College of Engineering, University of Pune in 2002, Master’s in Mechanical Engineering from VIT, University of Pune in 2004 and currently pursuing PhD from Trinity College of Engineering and Research (TCOER), SPPU, Pune. He has about 4 years of teaching experience. His area of interest includes dynamics, vibrations and thermal engineering.