Dynamic influences of changing gear tooth stiffness

Conference · Tue Jul 01 04:00:00 EDT 1997

OSTI ID:485119

Morguel, O K ^[1]; Esat, I ^[2]

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1. Sakarya Univ. (Turkey). Dept. of Mechanical Engineering
2. Brunel Univ., Uxbridge (United Kingdom). Dept. of Mechanical Engineering

One of the principal sources of vibratory excitation of gear a system is due to the angular speed fluctuation of meshing gears due to non-linearities and profile errors and tooth and supporting bearings flexibility. The transmission error is also influenced by the varying force at the contact point of the meshing gear teeth. The varying contact force itself is influenced by the varying tooth stiffness due to change of orientation of teeth relative to each other, during the contact phase of each pair. This paper presents a simplified single degree of freedom gear system. It is assumed that one member of the gear pair is rigid and flexibility of the gear tooth is attributed only to one section of the gear system. This enables the equation to be simplified to a single degree of freedom system. The resulting non-linear equation is solved iteratively by employing a method which combines piecewise linearization for the stiffness and resulting contact orientation shift due to shaft and tooth flexibility. The contact shift will be referred as the phase shift in this report. The early finding indicates that there are significant differences between the response of the system incorporating three different tooth stiffness, namely, constant tooth stiffness, rectangular wave tooth stiffness and sinusoidal tooth stiffness. The results also implies that any design specification associated with gears has to include gear tooth influences, especially if the excitation is of a major concern. The rectangular stiffness variation which most accurately describes the tooth stiffness gives a response fluctuation, studied in the frequency domain shows that the effective natural frequencies fluctuates between certain upper and lower limits. Thus the paper suggest that any design study should consider these limits.

• OSTI ID: 485119
• Report Number(s): CONF-970146--; ISBN 1-890277-03-7
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
DEGREES OF FREEDOM
DESIGN
FLEXIBILITY
GEARS
ITERATIVE METHODS
MECHANICAL VIBRATIONS
RESPONSE FUNCTIONS