4.7 Article

An improved analytical model for gear mesh stiffness calculation

Journal

MECHANISM AND MACHINE THEORY
Volume 159, Issue -, Pages -

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mechmachtheory.2021.104262

Keywords

Mesh stiffness; Planetary gears; Contact stiffness; Analytical model

Funding

  1. National Key Research and Development Program of China [2018YFB2001300]

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An improved analytical model is proposed to determine gear mesh stiffness based on contact mechanics and gear engagement principle, considering addendum modification and varying-load conditions. Experimental investigations verify the accuracy of calculating time-varying mesh stiffness under non-stationary conditions.
Time-varying mesh stiffness is considered the primary excitation in gear vibrations. An accurate evaluation of mesh stiffness is of great importance when studying gear vibrations. Based on contact mechanics and gear engagement principle, we propose an improved analytical model to determine gear mesh stiffness. Gears with addendum modification and varying-load conditions are considered in the presented model. It is shown that the gear mesh stiffness is load-dependent, and the contribution of each component to the gear mesh stiffness is discussed. Experimental investigations based on strain gauges are presented to measure the mesh stiffness of an internal spur gear under different loading torques. In addition, existing methods are compared and discussed with the presented model. The results indicate that the proposed model can calculate time-varying mesh stiffness accurately under non-stationary conditions. (c) 2021 Elsevier Ltd. All rights reserved.

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