Authors: Atanasovska, Ivana 
Hedrih, Katica (Stevanović) 
Title: A new collision model for analysing the vibro-impact of spur gears
Journal: Transactions of Famena
Volume: 42
Issue: 2
First page: 1
Last page: 13
Issue Date: 1-Jan-2018
Rank: M23
ISSN: 1333-1124
DOI: 10.21278/TOF.42201
A model of a central centric collision of two fictive rolling disks, with radii equal to the radii of pitch diameters of coupled gears, is used to describe the vibro-impact dynamics of spur gears. Total deformations vary during the operation of spur gears with involute profile, particularly as a result of variable number of pairs of teeth in contact. These variations, as well as tooth profile misalignments or damages, lead to the backlash, the appearance of internal dynamic forces, and impact. Particular values of tooth profile parameters and transmission ratio create the conditions for a vibro-impact vibration regime. The vibro-impact gear dynamics is characterized by vibro-impact vibrations in the contact between the pinion tooth and the wheel tooth during a short period of time after the collision. New formulas for the calculation of the time periods between two tooth collisions, as well as between two successive tooth collision impacts, are devised. Also, a set of equations for the calculation of the disturbance angular velocity of the pinion called the transmission error is developed; the transmission error has a role of an excitation for vibro-impact vibrations in the gear tooth contact.
Keywords: Angular velocity | Coefficient of restitution | Collision | Spur gears | Vibro-impact
Publisher: Fakultet strojarstva i brodogradnje, Zagreb
Project: Development of Methodology for Improvement of Operational Performance, Reliability and Energy Efficiency of Machine Systems used in the Resource Industry 
Dynamics of hybrid systems with complex structures. Mechanics of materials. 

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