Finite element analysis of dynamic stability of skeletal structures under periodic loading

Abstract：This paper addresses the dynamic stability problem of columns and frames subjected to axially applied periodic loads. Such a structure can become unstable under certain combinations of amplitudes and frequencies of the imposed load acting on its columns/beams. These are usually shown in the form of plots which describe regions of instability. The finite element method (FEM) is used in this work to analyse dynamic stability problems of columns. Two-noded beam elements are used for this purpose.The periodic loading is decomposed into various harmonics using Fourier series expansion. Computer codes in C++ using object oriented concepts are developed to determine the stability regions of columns subjected to periodic loading. A number of numerical examples are presented to illustrate the working of the program. The direct integration of the equations of motions of the discretised system is carried out using Newmarks method to verify the results. 作者： Author： THANA Hemantha Kumar  AMEEN Mohammed 作者單位： Department of Civil Engineering, National Institute of Technology, Calicut, Kerala 673601, India 期 刊： 浙江大學(xué)學(xué)報(bào)A（英文版）   ISTICEISCI Journal： JOURNAL OF ZHEJIANG UNIVERSITY SCIENCE A 年，卷(期)： 2007, 8(2) 分類(lèi)號(hào)： U448.25 Keywords： Finite element analysis    Dynamic stability    Mathieu-Hill equation    機(jī)標(biāo)分類(lèi)號(hào)： O34 V21 機(jī)標(biāo)關(guān)鍵詞： dynamic stability    finite element method    stability problem    object oriented    Fourier series    beam elements    used in    form of 基金項(xiàng)目：

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