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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 106
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Paper 38

Post-buckling of Panels with Multi-Term Displacement and Imperfection Modes

C. Kueh1, S. Ilanko2 and N. Navaranjan3

1School of Engineering and Advanced Technology, College of Sciences, Massey University, Palmerston North, New Zealand
2School of Engineering, University of Waikato, Hamilton, New Zealand
3Scion, Rotorua, New Zealand

Full Bibliographic Reference for this paper
C. Kueh, S. Ilanko, N. Navaranjan, "Post-buckling of Panels with Multi-Term Displacement and Imperfection Modes", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 38, 2014. doi:10.4203/ccp.106.38
Keywords: post-buckling, panels, Galerkin's method, multi-term displacement modes, geometric imperfection, corrugated paperboard..

This paper demonstrates the impact of including multi-term symmetric and antisymmetric out-of-plane displacement shapes functions and geometric imperfection modes on panel post-buckling behaviour, using multi-term analytical Galerkin's models of corrugated paperboard.

Comparisons of single- and multi-term solutions show a nine-term symmetric displacement mode model's central deflection can differ by as much as 16% at a load of 1.8 times the critical load compared to a single-term result.

Investigations for panels with both symmetric and anti-symmetric displacement modes show that if either a symmetric or anti-symmetric panel imperfection were present, only higher modes of the same type as the imperfection contribute to the panel displacement. However, if both symmetric and anti-symmetric panel imperfections were present, the symmetric and anti-symmetric displacement modes influence each other's relative amplitudes noticeably.

The direction and magnitude of higher imperfection modes present relative to the fundamental imperfection mode affect the apparent panel stiffness below the critical load, observed as higher or lower panel centre displacements. A smaller fundamental imperfection mode with additive higher imperfection modes causes the panel to appear stiffer, while a larger fundamental imperfection mode with opposing higher imperfection modes makes the panel appear more flexible, than a panel with only a fundamental imperfection mode.

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