Mathematical modeling of strength of honeycomb panel for packing and packaging with regard to deviations in the filler parameters
DOI:
https://doi.org/10.15587/1729-4061.2016.85853Keywords:
packaging materials, three-layered panel, honeycomb filler, imperfections in filler, model of strengthAbstract
A mathematical modeling of strength of the honeycomb panels for packing containers and packaging is presented. A panel works under combined loading by the forces of compression and shear. The Bubnov-Galerkin method is used for the solution of the problem on stability. The solution of the problem on stability of a three-layered panel includes the physical-mechanical characteristics of honeycomb filler, which depend on the geometric dimensions of honeycomb filler. Locations of origin of imperfections in the parameters of honeycomb filler are analyzed. Special features of the influence of deviations in filler on its physical-mechanical characteristics are examined. An analysis of the effect of deviations in the parameters of honeycomb filler on the bearing capacity of a three-layered panel is carried out. It is demonstrated that for the provision of value of critical shear in the range of permissible values, it is necessary that the deviations in the parameters of honeycomb filler are within certain interconnected ranges. A basic result of the represented study is the improvement of the model of strength of a three-layered panel taking into account the influence of deviations in honeycomb filler for the case of complex loading by the forces of compression and shear of the elements of packing containers and packaging. Results of the study might be used for the solution of the problem on determining the quantitative characteristics of quality and working ability of a three-layered honeycomb panel.References
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