بررسی یک مدل پیشنهادی برای میراگر جرمی با سختی غیرخطی هندسی نرم‌شونده

بادامچی, کریم; خلیل خلیلی, محمد; بادامچی, کیا

doi:10.22065/jsce.2019.189443.1878

بررسی یک مدل پیشنهادی برای میراگر جرمی با سختی غیرخطی هندسی نرم‌شونده

نوع مقاله : علمی - پژوهشی

نویسندگان

¹ استادیار دانشکده مهندسی عمران، دانشگاه تبریز، تبریز، ایران

² دانشجوی دکتری دانشکده مهندسی عمران، دانشگاه تبریز، تبریز، ایران

³ دانشجوی دکتری دانشکده فنی و مهندسی، دانشگاه ارومیه، ارومیه، ایران

10.22065/jsce.2019.189443.1878

چکیده

امروزه دانشمندان و پژوهشگران به دنبال روش‌هایی جهت کاهش هزینه‌های ساخت و افزایش ضریب ایمنی ساختمان‌ها هستند. یکی از روش‌های مناسب به‏منظور دست‏یابی به این اهداف؛ استفاده از میراگر جرمی می‏باشد که سبب بهبود عملکرد سازه در برابر بارهای باد و بارهای لرزه‌ای می‌شود. در این مقاله ابتدا یک مدل برای میراگر جرمی با سختی نرم‌شونده ارائه شده است. سپس جهت حل معادلات غیرخطی، از روش نیوتن – رفسون استفاده گردید. هم‏چنین به‌منظور صحت‌سنجی روش به‏کار برده شده در این مقاله، به مدل‌سازی و تحلیل یک سازه یک درجه آزادی به همراه میراگر جرمی غیرخطی، به‏صورت تئوری و آزمایشگاهی پرداخته و در انتها برای بهبود عملکرد میراگر، میراگر در حالت نیمه‌فعال به‏کار برده شد. مدلسازیها و تحلیل‏های رایانه‌ای با به‌کارگیری نرمافزار MATLAB انجام گردید و برای به وجود آوردن حالت نیمه فعال در سازه از کنترلکننده فازی استفاده شد. هم‏چنین جهت بررسی هر چه بهتر عملکرد میراگر جرمی پیشنهادی، یک سازه‌ی فولادی یازده طبقه تحت زلزله نورثریج و زرند مورد بررسی قرار گرفت. نتایج حاصل از تحلیل سازه در حالت‌های بدون میراگر و با میراگر جرمی دارای سختی نرم‌شونده، نشان داد حضور میراگر جرمی موجب کاهش جابجایی‌ها گردیده است. این کاهش جابجایی‌ها در زلزله نورثریج و زرند برای طبقه زیر میراگر به ترتیب 55 درصد و 44 درصد به‏دست آمد.

کلیدواژه‌ها

عنوان مقاله [English]

Investigation of New Proposed Model for Mass Damper with Geometrically Nonlinear Stiffness

نویسندگان [English]

Karim Badamchi ¹
Mohammad Khalil Khalili ²
Kia Badamchi ³

¹ Assistant Professor, dept. of Civil Engineering, Univ. of Tabriz, Tabriz, Iran

² Ph.D. Candidate, dept. of Civil Engineering, Univ. of Tabriz, Tabriz, Iran

³ Ph.D. Candidate, dept. of Civil Engineering, Univ. of Urmia, Urmia, Iran

چکیده [English]

Many studies have been conducted showing that the mass damper improves the performance of structures against wind loads and seismic loads. This paper presents a model for passive tuned mass damper with softening stiffness; the Newton−Raphson method and state space were used to solve nonlinear equations of motion. To evaluate the performance of the proposed mass damper, an 11-storied steel structure subjected to the Northridge and Zarand earthquakes was evaluated. This structure was initially modelled and analysed without a damper and with the softening PTMD. Then the effect of varying angles of the mass damper was investigated; eventually the damper was converted into a non-linear semi-active tuned mass damper. To reduce the displacements of the damper, fuzzy control was used for the controller. The results show that the proposed mass damper with a 60-degree angle could reduce the displacement in the earthquakes of Northridge and Zarand by 48.8 and 36.2% on an average. The results of using different angles suggest that a 45-degree angle makes for the most favourable performance for the structure and mass damper. It points out that in the use of an isolator for the 11th floor, this floor has the potential for higher displacement than any other floor, but, in this article, using the controller and the proposed semi-active damper, it has been shown that this floor can also experience lower displacement.

کلیدواژه‌ها [English]

Nonlinear tuned mass damper
Semi-active tuned mass damper
Softening stiffness
Nonlinear analysis
The Newton−Raphson method
Geometrically nonlinear behavior

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