رویکرد عدم قطعیت در طراحی جانمایی زیرسامانه‌های ماهواره با درنظر گرفتن قیود فرکانس طبیعی

نوع مقاله : مقالة‌ تحقیقی‌ (پژوهشی‌)

نویسندگان

1 دانشکده علوم و فنون نوین دانشگاه تهران, تهران، ایران

2 دانشکده علوم و فنون نوین دانشگاه تهران، تهران، ایران

3 دانشگاه تهران ، دانشکده علوم و فنون نوین و پژوهشگاه فضایی ایران، تهران، ایران

چکیده

به‌منظور بررسی عدم قطعیت در فرکانس های طبیعی سامانه ماهواره نسبت به تغییر جانمایی اجزاء، ابتدا جانمایی بهینه اجزاء یک ماهواره نمونه با هدف کمینه نمودن ممانهای اینرسی اصلی با استفاده از الگوریتم تجمع ذرات با لحاظ قیود کنترلی و هندسی انجام می شود. برای تولید نمونه‌های تصادفی، از این الگوریتم به تعداد کافی خروجی گرفته می‌شود که خروجی‌ها همان مختصات مرکز جرم اجزاء برای جانمایی می‌باشند و بر اساس خروجی‌ها، مدل‌سازی المان محدود نمونه‌ها با در نظر گرفتن اجزاء به‌صورت جرم متمرکز، برای جانمایی‌های مختلف انجام می‌گیرد. پس از تحلیل مودال نمونه‌ها و استخراج ماتریس جرمی و سختی، شبیه‌سازی مونت‌کارلو بر اساس تئوری ماتریس تصادفی ویشارت انجام می‌گیرد و مقادیر ویژه ماتریس‌ها که همان فرکانس‌های طبیعی است، به دست می‌آید. درنهایت توزیع احتمالاتی فرکانس‌های طبیعی شبیه‌سازی شده به دست می‌آید. ‌این توزیعات نشان می‌دهد که در چیدمان ارائه‌شده توزیع نرمال بوده و میزان پراکندگی نمونه‌ها بسیار کم است و تغییرات فرکانس طبیعی نسبت به جانمایی بهینه ارائه‌شده ناچیز است.

کلیدواژه‌ها


عنوان مقاله [English]

Uncertainty approach in layout design of satellite subsystems considering natural frequency constraints

نویسندگان [English]

  • Mona Habibi 1
  • Mahdi Fakoor 2
  • Hadi Parviz Nowruzani 3
1 Faculty of New Science and Technologies, University of Tehran, Tehran, Iran
2 Faculty of New Science and Technologies, University of Tehran, Tehran, Iran
3 Faculty of New Science and Technologies, University of Tehran, and Iranian Space Research Center ,Tehran, Iran
چکیده [English]

In this research, to investigate the effects of uncertainties on the natural frequency of satellite system attributed to the variation of layout components, the optimal layout of the satellite is performed utilizing particle swarm optimization (PSO) algorithm, considering stability and geometrical constraints. In order to produce random samples, enough number of results will be extracted, which are mass center of components, and based on the outputs, the finite element modeling of different samples by considering mass point is carried out. After modal analysis, mass and stiffness matrices are extracted, the simulation of Monte - Carlo runs based on Wishart random matrix theory and the eigenvalues of the matrix, i.e. natural frequencies, are obtained. Probabilistic distribution of natural frequencies is shown that in the proposed layout, the distribution of samples is very low and the variation of natural frequency is robust to the proposed optimal location.

کلیدواژه‌ها [English]

  • Satellite subsystems
  • optimal layout
  • Wishart random matrix theory
  • Natural frequency
  • Monte-Carlo simulation
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