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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2007, Vol. 8 Issue (2 ): 13-    DOI: 10.1631/jzus.2007.A0245
    
Finite element analysis of dynamic stability of skeletal structures under periodic loading
THANA Hemantha Kumar, AMEEN Mohammed
Department of Civil Engineering, National Institute of Technology, Calicut, Kerala 673601, India
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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 Newmark’s method to verify the results.

Key words： Finite element analysis      Dynamic stability      Mathieu-Hill equation     
Received: 23 April 2006     
CLC:  U448.25  
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THANA Hemantha Kumar
AMEEN Mohammed
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THANA Hemantha Kumar, AMEEN Mohammed. Finite element analysis of dynamic stability of skeletal structures under periodic loading. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2007, 8(2 ): 13-.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2007.A0245     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2007/V8/I2 /13

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