طراحی بهینه‌ی میراگر جرمی تنظیم شده‌ی چندگانه‌ی فعال برای سازه‌های غیرخطی هیسترسیس

نوع مقاله: پژوهشی

نویسندگان

دانشگاه محقق اردبیلی

چکیده

در این مقاله، به طراحی بهینه و بررسی کارآیی میراگر جرمی تنظیم شده‌ی چندگانه‌ی فعال (AMTMD) در کاهش ارتعاشات سازه‌های غیرخطی هیسترسیس پرداخته شده است. برای کنترل فعال سازه‌های غیرخطی از الگوریتم کنترل بهینه‌ی آنی بر پایه روش عددی نیومارک استفاده شده است. پارامتر های بهینه‌ی میراگرجرمی تنظیم شده‌ی چندگانه و مقادیر ماتریس‌های وزنی تابع عملکرد کنترل فعال با هدف کمینه کردن بیشینه‌ی نیروی کنترل مورد نیاز برای کاهش ماکزیمم تغییرمکان جانبی سازه تا یک حد مشخص تعیین شده است. برای حل مسئله‌ی بهینه‌سازی با توجه به تعداد زیاد متغیرها از الگوریتم ژنتیک ((GA استفاده شده است. برای آنالیز عددی، قاب برشی 8 طبقه‌ی برشی با منحنی هیسترسیس دو خطی تحت ارتعاش اغتشاش سفید قرار گرفته و برای مقادیر مختلف درصد جرمی و تعداد مختلف ATMD به طراحی بهینه‌ی مکانیزم AMTMD پرداخته شده است. همچنین کارایی این سیستم در مقابل زلزله‌های دورگسل و نزدیک گسل آزموده شده است. نتایج بدست آمده موثر بودن روش پیشنهادی را در طراحی AMTMDروی سازه‌های غیرخطی نشان می‌دهد همچنین می‌توان گفت که مکانیزم AMTMD در صورت طراحی بهینه می‌تواند خرابی را در سازه‌های غیرخطی تا حد زیادی کاهش دهد که میزان کاهش وابسته به درصد جرمی ، تعداد TMDها و مشخصات زلزله ورودی می‌باشد.

کلیدواژه‌ها


عنوان مقاله [English]

Optimal Design of Active Multiple Tuned Mass Dampers (AMTMDs) For Nonlinear Hysteretic Structures

نویسندگان [English]

  • Mohtasham Mohebbi
  • Hosein Shabani
mm
چکیده [English]

ABSTRACT
In this paper optimal design and effectiveness assessment of active multiple tuned mass dampers (AMTMDs) in reducing the vibration of nonlinear hysteretic structures has been studied. For active control of nonlinear structures the Newmark-based instantaneous optimal control algorithm has been used. Optimal parameters of AMTMDs and weighting matrices of active control performance index have been determined based on minimization of the maximum required control force of ATMDs to below the maximum drift of structure to a specified limit. For solving the optimization problem which includes a large number of variables, genetic algorithm (GA) has been applied. For numerical simulation, an eight–storey shear frame with bilinear hysteretic behavior subjected to white noise excitation and for different values of MTMDs mass ratio and ATMDs number, optimal AMTMDs have been designed. Also the efficiency of the AMTMDs mechanism under both near-fault and far-fault earthquakes has been tested. The results of numerical simulations show the effectiveness of the proposed method in designing AMTMDs on nonlinear structures. Also, it has been concluded that using AMTMDs could be effective in mitigating the damage of nonlinear structures which the amount of reduction depends on the input earthquake characteristics, AMTMDs mass ratio and ATMDs number.

کلیدواژه‌ها [English]

  • Active control
  • Multiple Tuned Mass Damper (MTMD)
  • Active Multiple Tuned MassDamper(AMTMD)
  • Nonlinear Shear Frame
  • Optimization
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