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CLC number: U448.25

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Received: 2006-04-23

Revision Accepted: 2006-10-21

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Journal of Zhejiang University SCIENCE A 2007 Vol.8 No.2 P.245-256


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

Author(s):  THANA Hemantha Kumar, AMEEN Mohammed

Affiliation(s):  Department of Civil Engineering, National Institute of Technology, Calicut, Kerala 673601, India

Corresponding email(s):   hemanth0252000@yahoo.co.in, ameen@nitc.ac.in

Key Words:  Finite element analysis, Dynamic stability, Mathieu-Hill equation

THANA Hemantha Kumar, AMEEN Mohammed. Finite element analysis of dynamic stability of skeletal structures under periodic loading[J]. Journal of Zhejiang University Science A, 2007, 8(2): 245-256.

@article{title="Finite element analysis of dynamic stability of skeletal structures under periodic loading",
author="THANA Hemantha Kumar, AMEEN Mohammed",
journal="Journal of Zhejiang University Science A",
publisher="Zhejiang University Press & Springer",

%0 Journal Article
%T Finite element analysis of dynamic stability of skeletal structures under periodic loading
%A THANA Hemantha Kumar
%A AMEEN Mohammed
%J Journal of Zhejiang University SCIENCE A
%V 8
%N 2
%P 245-256
%@ 1673-565X
%D 2007
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2007.A0245

T1 - Finite element analysis of dynamic stability of skeletal structures under periodic loading
A1 - THANA Hemantha Kumar
A1 - AMEEN Mohammed
J0 - Journal of Zhejiang University Science A
VL - 8
IS - 2
SP - 245
EP - 256
%@ 1673-565X
Y1 - 2007
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2007.A0245

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.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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