ارزیابی پایداری و رفتار ارتعاشی ستون‌های ترک‌دار ‌تحت بارگذاری محوری

نوع مقاله : پژوهشی

نویسندگان

1 آزاد اسلامی گرمی

2 دانشگاه تبریز

چکیده

در تحقیق حاضر روش تحلیلی جدیدی به‌منظور بررسی اثر ترک بر رفتار ارتعاشی و پایداری ستون‌های ترک‌دار تحت نیروی محوری ارائه شده است. به‌کمک تعریف انعطاف‌پذیری موضعی، ترک با یک فنر پیچشی مدل شده است که دو قسمت سالم ستون را در محل ترک به یکدیگر متصل می‌سازد. پس از استخراج مسأله مقدار ویژه‌ی متناظر به بررسی تأثیر ترک و نیروی محوری بر فرکانس‌های طبیعی و ظرفیت باربری ستون‌های ترک‌دار با انواع شرایط مرزی مختلف پرداخته شده است. مقایسه‌ی نتایج مدل ارائه شده با نتایج تجربی موجود در ادبیات فن نشان می‌دهد که مدل جدید ارائه شده در ضمن سادگی، با دقت مناسبی رفتار ارتعاشی و ظرفیت باربری ستون‌های ترک‌دار را پیش‌بینی می‌کند. محاسبه‌ی ظرفیت باربری و فرکانس‌های طبیعی ستون ترک‌دار و مطالعه‌ی تغییرات آن نسبت به موقعیت و عمق ترک نشان می‌دهد که در حالت کلی وجود ترک باعث کاهش فرکانس‌های طبیعی و ظرفیت باربری ستون می‌شود که میزان این کاهش به موقعیت و عمق ترک بستگی دارد. هم‌چنین بار محوری کششی باعث افزایش فرکانس‌های طبیعی و بار محوری فشاری باعث کاهش فرکانس‌های طبیعی می‌شود طوری که با افزایش بار محوری فشاری، فرکانس طبیعی اول کاهش می‌یابد تا در بار کمانش مقدار آن به صفر می‌رسد و سیستم ناپایدار می‌شود.

کلیدواژه‌ها


عنوان مقاله [English]

Investigation of the Stability and Vibration of Cracked Columns under Compressive axial Load

نویسندگان [English]

  • Masoud Ghaderi 1
  • Hosein Ghaffarzadeh 2
  • Vahid A. Maleki 2
1 Department of Civil Engineering, Ghermi Branch, Islamic Azad University, Ghermi, Iran.
2 Department of Structural Engineering, Faculty of Civil Engineering, University of Tabriz, Tabriz, Iran
چکیده [English]

In this paper, a new analytical method is proposed to study the effect of crack and axial load on vibration behavior and stability of the cracked columns. Using the local flexibility model, the crack has been simulated by a torsional spring with connecting two segments of column in crack location. By solving governing eigenvalue equation, the effect of crack parameters and axial load on the natural frequencies and buckling load as well as buckling load are investigated. The results show that the presents of crack cause to reduction in natural frequencies and buckling load whereas this reduction is affected by the location and depth of the crack. Furthermore, the tensiel and compressive axial load increase and decrease the natural frequencies, respectively. In addition, as the compression load approaches to certain value, the fundamental natural frequency reaches zero and instability occurs. The accuracy of the model is validated through the experimental data reported in the literature.

کلیدواژه‌ها [English]

  • Vibration analysis
  • Crcked Column
  • Natural Frequency
  • Axial Load
  • Buckling Load
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