مطالعه کمی و کیفی رابطه بین نیاز انرژی سیستم MDOF و ESDOF تحت اثر زلزله حوزه نزدیک گسل پالس‌گونه

نوع مقاله : مقاله پژوهشی

نویسندگان

1 گروه مهندسی عمران، دانشگاه آزاد اسلامی، واحد اهواز، اهواز، ایران

2 استادیار گروه مهندسی عمران، موسسه آموزش عالی جهاددانشگاهی، واحد خوزستان، اهواز، ایران

3 استادیار گروه مهندسی عمران، دانشگاه آزاد اسلامی، واحد اهواز، اهواز، ایران

چکیده

مطالعه کیفی و کمی رابطه بین نیازهای انرژی سیستم چند درجه آزاد، (MDOF) و سیستم یک­ درجه آزاد معادل، (ESDOF) به نحوی­که حداکثر نیاز انرژی سیستم MDOF را به کمک نیاز انرژی ESDOF محاسبه نمود، هدف اصلی مقاله حاضر است. بدین منظور قاب‌های فولادی خمشی ویژه با تنوع طبقاتی مختلف طراحی و در برابر 10 زلزله نزدیک گسل دارای اثرات جهت پذیری پیش‌رونده تحلیل شدند. همین موضوع برای سیستم ESDOF و برای مقادیر مشخص R (اندازه غیرخطی شدگی) انجام گرفت. در ادامه برای تخمین رابطه انرژی سیستم ESDOF با MDOF نسبت‌هایی متناظر با کل انرژی تلف ‌شده  خطی و غیرخطی (TDE) و انرژی تلف شده چرخه‌ای (HE) و میرایی (DE) معرفی گردید. نتایج نشان می‌دهد در سیستم ESDOF نسبت TDE غیرخطی به خطی و HE/TDE متاثر از پریود و R است. البته با افزایش پریود و R، نسبت مذکور به یک همگرا می‌شود. همین نتیجه بین TDE غیرخطی سیستم MDOF با TDE خطی سیستم ESDOF نیز مشاهده شد. به عبارتی برای پریودهای بلند می‌توان از TDE خطی سازه ESDOF به جای MDOF استفاده نمود. به علاوه نسبت TDE غیرخطی سیستم MDOF به TDE غیرخطی سیستم ESDOF متاثر از مودهای بالاتر و پریود است به نحوی که برای R ثابت، با افزایش پریود نسبت مذکور عموما بزرگ‌تر از یک به دست می‌آید. همچنین برای مقادیر کم R، تاثیر مودهای بالاتر بر نسبت انرژی تلف شده طبقه به کل انرژی تلف شده سازه قابل توجه بوده در حالی که با افزایش R سازه تمایل دارد کل انرژی تلف شده طبقات را در مود اول مستهلک نماید.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

A Relationship between the Energy Demands of MDOF and Equivalent SDOF Systems under Pulse-Type Near-Fault Earthquakes

نویسندگان [English]

  • Seyed Abdonnabi Razavi 1
  • Navid Siahpolo 2
  • Mehdi Mahdavi Adeli 3
1 Department of Civil Engineering, Islamic Azad University, Ahvaz branch, Ahvaz, Iran
2 Assistant professor, ACECR Institute for higher education, Khuzestan branch, Ahvaz, Iran
3 Assistant Professor, Department of Civil Engineering, Islamic Azad University, Ahvaz branch, Ahvaz, Iran
چکیده [English]

The purpose of paper is qualitative and quantitative study of the relationship between the energy demand of multi-degree-of-freedom systems, MDOF, and equivalent-single-degree-of-freedom systems to calculate the total energy demand of the MDOF system using the ESDOF energy demand. For this purpose, multi-story special steel moment frames designed and analyzed under 10 near-fault earthquake with forward-directivity effects. Moreover, the process done for the ESDOF system considering specified values of R (degree of nonlinearity). Accordingly, linear and nonlinear total dissipated energy (TDE), hysteretic energy (HE), and damping energy (DE) ratios were introduced to estimate the relationship of the ESDOF and MDOF energy. Results shows that ratio of nonlinear to linear TDE and HE/TDE is affected by period and R in ESDOF system. However, as the period and R increase, the ratio converges to one. The same result was observed between the nonlinear TDE of the MDOF system and the linear TDE of the ESDOF system. In other words, ESDOF linear TDE can be used instead of MDOF for long periods. In addition, the nonlinear TDE of the MDOF system to the nonlinear TDE of the ESDOF system ratio is affected by higher modes and period, by increasing the period the ratio is generally greater than one for the constant R. Also the effect of higher modes on the ratio of total story dissipated energy to total structure dissipated energy was significant for low R values. With increasing R, the structure tends to damp all the dissipated energy in the first mode.

کلیدواژه‌ها [English]

  • Energy demand
  • MDOF systems
  • SDOF systems
  • Pulse-type near-fault earthquake
  • higher modes effects

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نشریه مهندسی عمران امیرکبیر
دوره 53، شماره 6
شهریور 1400
صفحه 2601-2624

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