Nonlinear analysis of uni-lateral buckling for cylindrical panels on tensionless foundation

Uni-lateral buckling behavior of cylindrical panels on tensionless elastic foundation under axial compression is investigated through Rayleigh–Ritz method. Derivation of the equations is based on Kirchhoff–Love’s hypotheses. All the contributed researches on the uni-lateral buckling problem are limited to plates. Buckling curves are produced that indicate relationships between buckling load and geometrical parameters. It is concluded that increasing the surface of panel does not necessarily lead to an increase in the contact region between panel and foundation. Influences of geometrical parameters and foundation on the uni-lateral buckling behavior are examined. The results for flat panel are validated with available data.

► Foundation was modeled as a group of nonlinear springs which react only in compression.
► To our understanding, we are the first to study the uni-lateral buckling behavior of panels.
► Uni-lateral buckling curves were produced that indicate relationships between buckling load and geometrical parameters.
► The effect of foundation on buckling behavior of panels was investigated.