Steel and Composite Structures

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Contact buckling behaviour of corrugated plates subjected to linearly varying in-plane loads

  • Dong, Jianghui (School of Natural and Built Environments, University of South Australia) ;
  • Ma, Xing (School of Natural and Built Environments, University of South Australia) ;
  • Zhuge, Yan (School of Natural and Built Environments, University of South Australia) ;
  • Mills, Julie E. (School of Natural and Built Environments, University of South Australia)
  • Received : 2018.02.26
  • Accepted : 2018.07.07
  • Published : 2018.11.10
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Abstract

An analytical method is developed for analysing the contact buckling response of infinitely long, thin corrugated plates and flat plates restrained by a Winkler tensionless foundation and subjected to linearly varying in-plane loadings, where the corrugated plates are modelled as orthotropic plates and the flat plates are modelled as isotropic plates. The critical step in the presented method is the explicit expression for the lateral buckling mode function, which is derived through using the energy method. Simply supported and clamped edges conditions on the unloaded edges are considered in this study. The acquired lateral deflection function is applied to the governing buckling equations to eliminate the lateral variable. Considering the boundary conditions and continuity conditions at the border line between the contact and non-contact zones, the buckling coefficients and the corresponding buckling modes are found. The analytical solution to the buckling coefficients is also expressed through a fitted approximate formula in terms of foundation stiffness, which is verified through previous studies and finite element (FE) method.

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References

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