شناسايي ترك دندانه چرخ دنده ساده با استفاده از تحليل فركانسي پاسخ ارتعاشي آن

Crack detection of a spur gear by frequency analysis of its vibration response

در اين مقاله، اثر وجود ترك در ريشه ي دندانه يك چرخدنده از جفت چرخدنده ي درگير بر ارتعاشات آنها در حوزه ي فركانسي مورد بررسي قرار خواهد گرفت. هدف اين است كه تشخيص داده شود كه آيا ترك، بر فركانس هاي طبيعي سيستم متشكل از يك جفت چرخدنده تاثير دارد يا خير، اگر هم دارد بر كدام فركانس ها موثر است.

Vibration induced by gears includes important data about gearbox condition. We can use dynamic
modeling of gear vibration for increasing our information about vibration generating mechanisms in
gearboxes and dynamic behavior of gearbox in the presence of some kind of gear defects. In this paper
a six degree-of-freedom nonlinear dynamic model including different gear errors and defects is developed
for investigation of effects of tooth localized defect and profile modifications on overall gear dynamics.
Interactions between tooth modifications and profile error are studied and the role of profile modification
in dynamic response when a localized defect is incurred by a tooth is shown. It is indicated that although
profile modifications and profile errors are micro-geometrical, they have considerable effects on
vibrations of gear pair. Especially for the case of root relieved teeth that is shown to be more effective
in reduction of vibration in the presence of tooth localized defect. Finally, the simulation results are
compared with results from literature and the model is verified.The model considered here, consists of a pair of spur gears on the two shafts that are connected to the load and prime mover. Torsional compliances of shafts and transverse compliances of bearings and consequently torsional and transverse vibrations of the gears along the line of action have been taken into account.