To this end, after explaining the helical gear mesh stiffness and tooth-root crack modeling, the helical gear pair dynamic is modeled. In this research, a new approach is proposed to detect the crack location, and accordingly, some statistical indicators are used to estimate the crack depth in the helical gear tooth. Therefore, detecting the location and depth of cracks in gear systems is very important. It is necessary to make sure that these systems work without defects such as tooth cracks. Gear systems are the most useful and essential power transmission systems in the high-speed industry due to their accuracy.
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