نویسندگان
دانشکده مهندسی مکانیک، دانشگاه تبریز
چکیده
در صنعت از چرخ دنده ها بصورت گسترده به منظور انتقال قدرت و یا تغییر جهت گشتاور انتقالی استفاده می شود و این حجم وسیع کاربری، اهمیت طراحی دقیق و نگهداری از این سیستم ها را بیش از پیش آشکار می کند. شناخت سیستم ها را می توان با مدل کردن و بررسی رفتار آنها و مقایسه با رفتار واقعی بدست آورد. تاکنون مدل سازی و تحلیل ارتعاشات غیرخطی سیستم انتقال قدرت چرخ دنده ای ترک دار با لحاظ کردن اثر اصطکاک خشک صورت نگرفته است. هدف از انجام این تحقیق، بررسی ارتعاشات غیرخطی یک جفت چرخ دنده ساده درگیر ترک دار در حضور خطای انتقال استاتیکی، لقی، سفتی متغیر با زمان دندانه ها و اصطکاک خشک بین دندانه ها می باشد. بدین منظور ابتدا سفتی درگیری متغیر با زمان دندانه ها به صورت تحلیلی محاسبه شده و ترک ریشه دندانه با فرض دندانه بصورت یک تیر ترک دار یک سر گیردار مدل شده است. معادلات حاکم بر سیستم با در نظر گرفتن عوامل مذکور استخراج و برای اعمال اثر اصطکاک خشک، معادله حاکم در سه بازه زمانی جدا از هم بازنویسی شده است. در نهایت معادله حاکم با استفاده از روش رانگ-کوتا حل شده و تاثیر اصطکاک خشک و ترک ریشه دندانه بر ارتعاشات غیرخطی سیستم با استفاده از نمودارهای پاسخ فرکانسی و دوشاخگی بررسی شده است.
کلیدواژه‌ها
عنوان مقاله [English]
The Effect of Friction on the Nonlinear Vibration of the Cracked One-Stage Power Transmission
نویسندگان [English]
- M. Rezaee
- F. Fallahi
چکیده [English]
: The gear systems are widely used in industry to transmit the power or change the direction of the torque. Due to the extensive usage of the gears, the detailed designing and the subsequent maintenance of these systems are more and more evident. System recognition can be achieved through modeling the system, investigating the system behavior, and comparing the results obtained through the model with the actual system behavior. Up to now, the effect of dry friction has not been taken into account in nonlinear vibration analysis and modeling of a cracked one-stage gear power transmission system. In this paper, the nonlinear vibration of a pair of cracked spur-gear system in presence of dry friction, static transmission error, clearance and time-variant mesh stiffness is investigated. To this end, the time-variant mesh stiffness of an intact tooth is calculated analytically. Then, the tooth root crack is modeled as a cracked cantilever beam. The governing nonlinear equation of motion is extracted accordingly, and in order to consider the effect of dry friction, the governing equation solved by Rung- Kutta method in three separate time spans. Finally, the frequency response and bifurcation diagrams are used to study the effect of the friction and tooth root crack on the nonlinear vibration behavior of the system.
کلیدواژه‌ها [English]
- Spur gear
- dry friction
- tooth root crack
- nonlinear vibration
- chaos
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