Analytical Model and Numerical Simulation for the Effect of Uncertain Initial Geometrical Imperfection on the Buckling of Thin Plate

DOI

10.2991/fmsmt-17.2017.145How to use a DOI?

Keywords

buckling; initial geometrical imperfection; double trigonometric series; uncertainty; Monte Carlo simulation

Abstract

Due to the uncertainty of the initial geometrical imperfection, it is difficult to evaluate its influence on bucking behavior of structures. In this study, the double trigonometric series is adopted to describe the initial geometric imperfection and the deformed deflection, and then the relation between them is deduced from the bending equilibrium equation. Therefore, the total displacement can be obtained by superposing these two deflections. Based on this analytical model, the range of the maximum deformation is determined by Monte Carlo simulation. The analysis provides a new analytical model for the buckling problem of plate with uncertain initial geometrical imperfection.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Shu Zhang
AU  - Hao Xiao
AU  - Fangwei Qiang
AU  - Weiping Hu
PY  - 2017/04
DA  - 2017/04
TI  - Analytical Model and Numerical Simulation for the Effect of Uncertain Initial Geometrical Imperfection on the Buckling of Thin Plate
BT  - Proceedings of the 2017 5th International Conference on Frontiers of Manufacturing Science and Measuring Technology (FMSMT 2017)
PB  - Atlantis Press
SP  - 738
EP  - 745
SN  - 2352-5401
UR  - https://doi.org/10.2991/fmsmt-17.2017.145
DO  - 10.2991/fmsmt-17.2017.145
ID  - Zhang2017/04
ER  -