سختی بهینه ی میراگر جرمی سازه ی نامیرا با ترکیب پاسخ های پایدار و گذرا

نوع مقاله : پژوهشی

نویسندگان

• پیمان اشرفی ¹
• جواد علامتیان ²

¹ دانشگاه آزاد مشهد

² دانشگاه آزاد اسلامی مشهد

10.22067/civil.v26i2.20950

چکیده

کارایی میراگرهای جرمی به عامل های مختلفی مانند جرم و سختی آن ها وابسته است. بنابراین، پژوهشگران رابطه هایی را برای این کمیت ها پیشنهاد کرده اند. در این پژوهش، روشی برای تعیین سختی میراگر جرمی با ترکیب هر دو پاسخ پایدار و گذرا برای کنترل سازه ی نامیرا ارائه گردید. برای یافتن سختی میراگر جرمی، کمینه سازی میانگین قدرمطلق نسبت جابه‌جایی سازه به‌عنوان معیار بهینه سازی برگزیده شد. سپس با استفاده از تحلیل مودی، برای مقادیر مختلف نسبت جرم و نسبت فرکانس سازه، نسبت های بهینه ی فرکانس میراگر جرمی به‌دست آمد. این کار به‌صورت عددی انجام گرفت. سنجش مقادیر به‌دست آمده نشان داد که برای نسبت های جرمی کاربردی، احتمال کوچک بودن پاسخ سازه ی کنترل شده با این میراگر جرمی بیش از میراگرهای دیگر است.

کلیدواژه‌ها

• میراگرهای جرمی
• سختی بهینه
• پاسخ های پایدار و گذرا

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عنوان مقاله [English]

Optimum stiffness designing of the TMD mechanism by combining the transient and the steady-state responses

نویسندگان [English]

• peyman ashrafi ¹
• javad alamatian ²

¹ Department of Civil Engineering, Islamic Azad University of Mashhad.

² Department of Civil Engineering, Islamic Azad University of Mashhad.

چکیده [English]

This paper deals with new method for designing the tuned mass dampers (TMD) with considering both transient and steady state responses, simultaneously. This formulation is presented for undamped vibrations. For this purpose, the absolute value of the structural displacement ratio is minimized numerically. This procedure leads to optimum value of TMD's specifications. For numerical verification, the vibrations of some structures a controlled by proposed method. Results show the efficiency of the proposed technique in comparison with other existing approaches.

کلیدواژه‌ها [English]

• Tuned Mass Dampers
• Optimum Stiffness
• Transient and steady-state responses

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