Structural Engineering and Mechanics

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Nonlinear analysis of thin shallow arches subject to snap-through using truss models

  • Xenidis, H. (Department of Civil Engineering, Aristotle University of Thessaloniki) ;
  • Morfidis, K. (Institute of Engineering Seismology and Earthquake Engineering) ;
  • Papadopoulos, P.G. (Department of Civil Engineering, Aristotle University of Thessaloniki)
  • Received : 2012.09.21
  • Accepted : 2013.01.11
  • Published : 2013.02.25
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Abstract

In this study a truss model is used for the geometrically nonlinear static and dynamic analysis of a thin shallow arch subject to snap-through. Thanks to the very simple geometry of a truss, the equilibrium conditions can be easily written and the global stiffness matrix can be easily updated with respect to the deformed structure, within each step of the analysis. A very coarse discretization is applied; so, in a very simple way, the high frequency modes are suppressed from the beginning and there is no need to develop a complicated reduced-order technique. Two short computer programs have been developed for the geometrically nonlinear static analysis by displacement control of a plane truss model of a structure as well as for its dynamic analysis by the step-by-step time integration algorithm of trapezoidal rule, combined with a predictor-corrector technique. These two short, fully documented computer programs are applied on the geometrically nonlinear static and dynamic analysis of a specific thin shallow arch subject to snap-through.

Keywords

References

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