تحلیل پایداری شبیه‌سازی هیبرید زمان- واقعی با میراگر تنظیم شده مایع

نوع مقاله : مقاله پژوهشی

نویسندگان

گروه مهندسی مکانیک، دانشکده فنی مهندسی گلپایگان، دانشگاه صنعتی اصفهان، ایران،

چکیده

شبیه‌سازی هیبرید زمان واقعی، روشی برای تست اجزای فیزیکی یک سازه در کنار شبیه‌سازی عددی بقیه اجزای سازه است. نیروی بین قسمت فیزیکی و قسمت عددی توسط عملگر اعمال می‌شود. جابجایی و سرعت سازه فیزیکی به قسمت محاسباتی پس‌خوراند می‌شود تا نیروی لازم برای اعمال به قسمت فیزیکی بدست آید. در این مقاله، از شبیه‌سازی هیبرید زمان واقعی برای ارزیابی عملکرد یک میراگر تنظیم‌شده مایع استفاده شده است. یکی از عوامل مهم در ناپایداری این شبیه‌سازی، عدم توانایی عملگر در اجرای فرمان‌های ارسالی از طرف شبیه‌ساز زمان- واقعی است. در شبیه‌سازی هیبرید زمان- واقعی، دینامیک عملگر با یک تأخیر زمانی ثابت تقریب زده می‌شود که این تأخیر زمانی در حلقه بسته شبیه‌سازی باعث کاهش دقت یا ناپایداری می‌شود. بنابراین از معادلات دیفرانسیل تأخیری برای تعیین تأخیرهای زمانی بحرانی بر اساس پارامترهای میراگر تنظیم شده مایع استفاده شده است. نتایج شبیه‌سازی نشان می‌دهد که در تأخیرهای زمانی کم، محدوده پایداری برای نسبت جرم دارای حد پایین است و در تأخیرهای زمانی زیاد، محدوده پایداری برای نسبت جرم دارای حد بالا است. علاوه بر این، با افزایش نسبت جرم و دامنه، محدوده پایداری برای نسبت جرم کاهش می‌یابد. در نسبت جرم‌های بالا، حداکثر مقدار مجاز تأخیر زمانی با افزایش نسبت فرکانس افزایش یافته است ولی در نسبت جرم‌های پایین‌تر، محدوده مجاز تأخیر زمانی با افزایش نسبت فرکانس ابتدا کاهش و سپس افزایش یافته است.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Stability Analysis of Real-Time Hybrid Simulation with a Tuned Liquid Damper

نویسندگان [English]

  • Dariush Jalili
  • Mostafa Nasiri
  • Marzieh Rezazadeh
Mechanical Engineering Group, Golpayegan College of Engineering, Isfahan University of Technology, Isfahan, Iran
چکیده [English]

Real-time hybrid simulation (RTHS) is a form of testing where the physical component of structure communicate with numerical model which simulates the behavior of the rest of the structure. Interface forces between the experimental and computational substructure are imposed by an actuator. The resulting displacement and velocity of the experimental substructure are fed back to the computational engine to determine the interface forces applied to the computational and experimental substructures for the next time step. In this paper, the RTHS technique is used to conduct experiments with a numerically simulated structure and physically tested tuned liquid damper (TLD). One very important factor which causes instability in RTHS is the actuator's inability to perform the commands from the simulator in real-time. In RTHS, an actuator dynamic is approximated by a pure time-delay, and the time-delay in the closed loop system causes inaccuracy results or even instability. Therefore, Delayed Differential Equation (DDE) is used to determine the critical time-delays depending on the TLD parameters. Then, the compound stability condition is investigated for a general case and the results show that the mass ratio has a lower limit for low delays and upper limit for high delays to remain stable. As frequency and amplitude ratios increase, the margin of stability for the mass ratio increases.

کلیدواژه‌ها [English]

  • Tuned liquid damper (TLD)
  • real-time hybrid simulation (RTHS)
  • delayed differential equation (DDE)
  • time-delay
  • Stability
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