بررسی اثرات ناشی از ممان ژیروسکوپی بر روی دینامیک وارتعاشات یک جفت چرخدنده دومارپیچ سرعت بالا

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشگاه تربیت دبیر شهید رجایی

2 دانشگاه اصفهان

چکیده

در این تحقیق با ارائه یک مدل جرم گسسته خطی مستقل از زمان در فضای سه‌بعدی برای یک جفت چرخدنده دومارپیچ به بررسی اثرات ناشی از ممان ژیروسکوپی بر روی دینامیک و ارتعاشات این سیستم پرداخته می‌شود. در این مدل، هر چرخدنده دارای شش درجه آزادی بوده و علاوه بر سفتی درگیری، سفتی ناشی از اثرات یاتاقان‌ها نیز در نظر گرفته می‌شود. پاسخ دینامیکی سیستم نسبت به تحریک ناشی از خطای انتقال با استفاده از روش جمع مودال استخراج می‌گردد. نتایج این پژوهش نشان می‌دهد که ممان ژیروسکوپی باعث کاهش یافتن اکثر فرکانس‌های طبیعی سیستم می‌شود. علاوه بر این، نتایج این تحقیق نشان می‌دهد که ممان ژیروسکوپی نقش بسیار مهمی بر روی پاسخ دینامیکی یک جفت چرخدنده دومارپیچ در سرعت‌های بالا دارد. به منظور صحت‌سنجی معادلات و روش حل، پاسخ دینامیکی استخراج شده با نتایج تجربی حاصل از پژوهش‌های دیگر مقایسه می‌گردد.

کلیدواژه‌ها


عنوان مقاله [English]

Effects of Gyroscopic Moment on the Dynamics and Vibrations of a High- Speed Double- Helical Gear Pair

نویسندگان [English]

  • mohammad karimi khoozani 1
  • Mehrdad Poursina 2
  • ali pourkamali anaraki 1
1 Shahid Rajaee Teacher Training University
2 Isfahan University
چکیده [English]

In this research a linear time- invariant lumped mass model, LTI, in three-dimensional space for a double- helical gear pair is developed and effects of gyroscopic moment on the dynamics and vibrations are studied. In this model, each member has six degrees of freedom and both of the mesh stiffness and bearing stiffness are undertaken. The dynamic response due to transmission errors excitations is calculated by using the modal summation technique. The results of this research show that, by taking the gyroscopic effects in double- helical gear pair, most of the natural frequencies are reduced. In addition, the gyroscopic moment have an important role on the dynamic response of a high- speed double- helical gear pair. In order to verify the equations and solution methodology, the obtained dynamic response from a pair of double- helical gear pair is compared with the empirical results of other researches.

کلیدواژه‌ها [English]

  • Double- helical gear
  • Gyroscopic moment
  • High- speed
  • Dynamic model
  • Vibration
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