تعیین حساسیت رفتار دینامیکی روتور به تلرانس‌های تولید با استفاده از تحلیل حساسیت کلی و روش آماری

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشجوی دکتری، دانشکده مهندسی مکانیک دانشگاه علم و صنعت ایران

2 علم و صنعت

چکیده

عدم قطعیت در پارامترها سبب می‌گردد تا سازه‌های با شرایط نامی یکسان دارای مقادیر متفاوت فرکانس‌های طبیعی و پاسخ ارتعاشی باشند. علی‌رغم اهمیت مساله ارتعاشات در توربوماشین‌ها به دلیل ماهیت دورانی آن‌ها و لزوم تعیین دقیق سرعت‌های بحرانی در این سیستم‌ها، تاکنون در زمینه بررسی حساسیت رفتار ارتعاشی سیستم‌های دوار به عدم قطعیت پارامترها مطالعه و بررسی کافی انجام نشده است. در این مقاله حساسیت کلی سرعت‌های بحرانی یک کمپرسور صنعتی نسبت به پارامترهای طراحی آن محاسبه شده است. همچنین نشان داده شده است که استفاده از روش مشتق‌گیری به عنوان روشی متداول در مراجع، تنها حساسیت محلی پارامتر را نشان می‌دهد و جهت درنظرگرفتن درجه اهمیت یک پارامتر بر روی خروجی مدل، باید حساسیت کلی پارامتر مورد بررسی قرار گیرد. در این بررسی، یک چهارچوب کلی جهت بررسی حساسیت سیستم‌های دوار صنعتی بر اساس روش تحلیل حساسیت کلی و تجزیه وردایی سوبول با به کارگیری روش مونت کارلو، ارائه شده است. در این روش عدم قطعیت موجود در پاسخ سیستم به عدم قطعیت پارامترهای آن به صورت کمی نسبت داده شده است و تحلیلی کمی را در کنار پیش بینی‌های کیفی در اختیار قرار می‌دهد. روش ارائه شده در طراحی ماشین دوار می‌تواند برای تدوین دستورالعمل‌های تلرانس‌گذاری اجزا سیستم مورد نظر مفید می‌باشد.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Sensitivity Analysis of Rotor Dynamic Behavior to Manufacturing Tolerances Based on Global Sensitivity Analysis and Statistical Methods

نویسندگان [English]

  • Zahra Taherkhani 1
  • Hamid Ahmadian 2
1 School of Mechanical Engineering, Iran University of Science and Technology
چکیده [English]

Engineering structures are inevitably exposed to various sources of uncertainty. The uncertainty in the parameters led to structures with identical nominal parameters having different vibrational behavior, such as different natural frequencies. Therefore, it is inevitable to consider parameter variability for a robust design. The rotational motion of turbomachinery makes vibration an important issue in their design. Therefore, it is essential to accurately determine the vibrational behavior of rotating systems and the parameters affecting them. No comprehensive experimental study is reported on the sensitivity of vibration behavior of industrial rotating systems to parameter uncertainty in the related literature. Therefore, in this paper, a powerful method of global sensitivity analysis based on variance analysis is presented using an industrial compressor sample to determine the effective parameters in its response uncertainty. The Monte Carlo simulation method is adopted to implement the global sensitivity analysis method. In this method, the uncertainty in the system response quantifiably devotes itself to the uncertainty of its parameters and provides a quantitative analysis along with qualitative predictions to the designer. The presented method in this paper can be very useful in designing rotating machinery and identifying sensitive parameters on the system response for the codification of design and manufacturing instructions, like component tolerance.

کلیدواژه‌ها [English]

  • Rotor dynamics
  • Global sensitivity analysis
  • Monte Carlo
  • Uncertainty
  • Model updating

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نشریه مهندسی مکانیک امیرکبیر
دوره 53، شماره 8
آبان 1400
صفحه 4501-4516

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