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Study of dynamic stability of columns under harmonic loading

عنوان مقاله: Study of dynamic stability of columns under harmonic loading
شناسه ملی مقاله: ICSAU03_0479
منتشر شده در سومین کنگره بین المللی عمران ، معماری و توسعه شهری در سال 1394
مشخصات نویسندگان مقاله:

Mohammad Hosein Soheil Naghshi - Student of M.SC., Structural Engineering, Faculty of Engineering, University of Guilan, P.O. Box 3756, Rasht, Iran,
Reza Saleh Jalali - Assistant Professor, Faculty of Engineering, Department of Civil Engineering, University of Guilan, P.O. Box 3756, Rasht, Iran,

خلاصه مقاله:
In this study a simple model of a column is presented and analyzed under harmonic loadings with various frequencies. Additionally, dynamic stability criteria are examined for the model. For this end, column is modeled with a series of elements with axial rigidity connected to each other by nonlinear rotational springs and linear dampers. By carrying out dynamic equations for each element and combining them, a system of coupled second-order nonlinear differential equations is obtained. Fourth order Runge-Kutta numerical method which is proven to be stable is used to carry out solutions for these equations. Furthermore, by solving system characteristic equations for various natural frequencies, rotational stiffness and damping are obtained. the rotational springs are supposed to be elastic-perfect plastic. It is demonstrated that material nonlinearity doesn't have a significant effect on dynamic instability regions of column under harmonic loading. Although the amplitude of vibration of the column in elastic-perfect plastic model are more realistic in comparison with linear model.

کلمات کلیدی:
dynamic stability, nonlinear dynamic analysis, Runge-Kutta method, harmonic loading, column

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/469501/