<p>This study analyzes the nonlinear static and dynamic response in spur gear pairs with tooth root crack damage.&nbsp;A finite element/contact mechanics (FE/CM) model is used that accurately captures the elastic deformations on the gear teeth due to kinematic motion, tooth and rim deformations, vibration, and localized increases in compliance due to a tooth root crack.&nbsp;The damage is modeled by releasing the connectivity of the finite element mesh at select nodes near a tooth crack.&nbsp;The sensitivity of the calculated static transmission errors and tooth mesh stiffnesses is determined for varying crack initial locations, final locations, and the path from the initial to final location.&nbsp;Gear tooth mesh stiffness is calculated for a wide range of tooth root crack lengths, including large cracks that extend through nearly all of the tooth.&nbsp;Mesh stiffnesses are meaningfully reduced due to tooth root crack damage.&nbsp;The dynamic response is calculated for cracks of varying length.&nbsp;Larger cracks result in increased peak dynamic transmission errors.&nbsp;For small tooth root cracks the spectrum of dynamic transmission error contains components near the natural frequency of the gear pair.&nbsp;The spectrum of dynamic transmission error has broadband frequency response for large tooth root cracks that extend further than one-half of the tooth's thickness.</p>

Finite Element/Contact Mechanics Analysis of Spur Gear Pairs With Tooth Root Cracks

Paper Proceedings: https://asmedigitalcollection.asme.org/IDETC-CIE/IDETC-CIE2021/volume/85369

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