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Materials 2015, 8(5), 2400-2414; doi:10.3390/ma8052400

Semi-Analytic Solution and Stability of a Space Truss Using a High-Order Taylor Series Method

1
School of Architectural Engineering, Korea University of Technology and Education, Cheonan 330-708, Korea
2
School of Liberal Arts, Korea University of Technology and Education, Cheonan 330-708, Korea
3
School of Architecture, Chosun University, Gwangju 501-759, Korea
*
Author to whom correspondence should be addressed.
Academic Editor: Richard Thackray
Received: 16 December 2014 / Revised: 6 April 2015 / Accepted: 21 April 2015 / Published: 8 May 2015
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Abstract

This study is to analyse the dynamical instability (or the buckling) of a steel space truss using the accurate solutions obtained by the high-order Taylor series method. One is used to obtain numerical solutions for analysing instability, because it is difficult to find the analytic solution for a geometrical nonlinearity system. However, numerical solutions can yield incorrect analyses in the case of a space truss model with high nonlinearity. So, we use the semi-analytic solutions obtained by the high-order Taylor series to analyse the instability of the nonlinear truss system. Based on the semi-analytic solutions, we investigate the dynamical instability of the truss systems under step, sinusoidal and beating excitations. The analysis results show that the reliable attractors in the phase space can be observed even though various forces are excited. Furthermore, the dynamic buckling levels with periodic sinusoidal and beating excitations are lower, and the responses react sensitively according to the beating and the sinusoidal excitation. View Full-Text
Keywords: steel space truss; Taylor series method; semi-analytical solution; sinusoidal excitation; beating excitation; attractor; dynamic buckling steel space truss; Taylor series method; semi-analytical solution; sinusoidal excitation; beating excitation; attractor; dynamic buckling
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Shon, S.; Lee, S.; Ha, J.; Cho, C. Semi-Analytic Solution and Stability of a Space Truss Using a High-Order Taylor Series Method. Materials 2015, 8, 2400-2414.

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