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DYNAMIC ANALYSIS OF A SPUR GEAR BY THE DYNAMIC STIFFNESS METHOD

✍ Scribed by Huang, K. J. (author);Liu, T. S. (author)

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
293 KB
Volume
234
Category
Article
ISSN
0022-460X

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✦ Synopsis

This study treats a spur gear tooth as a variable cross-section Timoshenko beam to construct a dynamic model, being able to obtain transient response for spur gears of involute pro"les. The dynamic responses of a single tooth and a gear pair are investigated. Firstly, polynomials are used to represent the gear blank and the tooth pro"le. The dynamic sti!ness matrix and natural frequencies of the gear are in turn calculated. The forced response of a tooth subject to a shaft-driven transmission torque is calculated by performing modal analysis. This study takes into account time-varying sti!ness and mass matrices and the gear meshing forces at moving meshing points. The forced response at arbitrary points in a gear tooth can be obtained. Calculation results of "llet stresses and strains are compared with those in the literature to verify the proposed method.

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