Açısal temaslı bilyalı rulmanlarda bilya titreşimlerinin incelenmesi

Bu çalışmada, sağlam ve kusurlu durumdaki bilyalı rulmanlardaki bilyaların titreşimini incelemek üzere bir şaft-rulman modeli geliştirilmiştir. Modelde şaft-rulman ikilisi kütle-yay sistemi olarak, bilyalar ise kütleli olarak kabul edilmiştir. Sistemin dinamik şartlar altında doğrusal olmayan bir davranış gösterdiği bilinmektedir. Buna göre şaft ve bilyalar için radyal yöndeki hareket denklemleri elde edilmiş ve bu denklemler geliştirilen bilgisayar programı yardımıyla farklı ön yükler için eş zamanlı olarak çözülmüştür. Simülasyon programından bulunan bu sonuçlar zaman ve frekans tanım bölgesinde incelenmiştir. Ön yük arttıkça bilyalar daha uzun süre yüklü bölgede kalarak daha fazla deformasyona uğramakta ve titreşim genlikleri artmaktadır. Frekans spektrumlarmda frekans zirveleri, kafes frekansı ve katları, şaftın radyal yöndeki doğal frekansı ve bilyanın radyal yöndeki titreşim frekansında ortaya çıkmaktadır.

Investigation of ball vibrations in angular contact ball bearings

In this study, a shaft-bearing model is developed in order to investigate ball vibrations in case of defected and undefected ball bearings. In this model, shaft-bearing couple is considered as a mass-spring system and balls are massless. It is well known that the behavior of the system has a nonlinear character under dynamic conditions. In this case, equations of motions in radial direction were obtained for shaft and balls and these equations were solved for different preloads simultaneously by a developed computer program. The results obtained from the simulation program, were analyzed both in the time and the frequency domains. When preload increases, the balls deform more by staying longer in loaded region, and their vibration amplitudes increase. In frequency spectra frequency peaks, cage frequency and its harmonics, natural frequency of shaft in radial direction ball oscillation frequency in radial direction can be observed.

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