Model based vibration monitoring

Book · Fri Nov 01 04:00:00 EST 1996

OSTI ID:382793

Esat, I; Paya, B ^[1]; Badi, M N.M. ^[2]

---

1. Brunel Univ., Uxbridge (United Kingdom)
2. Univ. of Hertfordshire, Hatfield (United Kingdom)

The principal source of vibratory excitation of gear system is the unsteady component of the relative angular motion of pair of meshing spur gears. This vibratory excitation is described by the transmission error. The transmission error present itself as a varying force at the contact point of the meshing gear teeth. The varying force is also influenced by the varying tooth stiffness due to change of orientation of teeth relative to each other, during the contact phase of each pair. Such a varying force produces both lateral and torsional excitation to the gear system. This paper presents analytical formulation of a simple two meshing spur gear system as a three mass system (18 DOF). The mathematical model also incorporates the analytical formulation of the tooth stiffness. The analytical results are compared with the experimental results. At this stage of analysis the procedure developed for handling the nonlinear influences of the tooth geometry is not fully implemented and the tooth stiffness taken as a constant value representing the average tooth stiffness. The comparison between the analytical and experimental results are encouraging as three main frequency obtained from FFT of the experimental results correlates very closely with the analytical results.

• OSTI ID: 382793
• Report Number(s): CONF-960154--; ISBN 0-9648731-8-4
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
ANALYTICAL SOLUTION
COMPARATIVE EVALUATIONS
EXPERIMENTAL DATA
FORCING FUNCTIONS
GEARS
MATHEMATICAL MODELS
MECHANICAL VIBRATIONS
THEORETICAL DATA