Effect of Aspect Ratio and Boundary Conditions on Tension Buckling Behaviour of Curved Panels Subjected to Non-uniform In-plane Edge Loading

摘要

The tension buckling and vibration behaviour of curved panels with different aspect ratios and boundary conditions of rectangular planform subjected to non-uniform in-plane tensile edge loadings have been studied using the finite element method. In many applications of aerospace, mechanical, civil, naval, etc structures which are made of thin sheets, are often subjected to non-uniform in-plane stresses caused by concentrated or partial loading at the edges. The nature of these stresses also called membrane stresses, has marked effects on the buckling had and vibration characteristics of panels. Panels can also buckle when subjected to forces that are only tensile. If a thin sheet is subjected to eccentric tensile loading on the opposite edges, one observes the sheet wrinkling at some places away from the application of the load. Such wrinkling (that is, buckling) can occur whenever the solution to the plane elasticity problem yields internal stresses that are compnssive in nature. Induced wrinkling may be important in certain practical applications, such as, stressed panels in aircraft structures. In the analysis, the first order shear deformation theory is used to model the doubly curved panels, considering the effects of transverse shear deformation and rotary inertia. The theory used is extended from the dynamic, shear deformable theory based on the Sanders'first approximation for doubly curved shells, which can be reduced to Love's and Donnell's theories by means of tracers. The in-plane non-uniform stress field has been analysed under plane-stress conditions with reasonable accuracy. The effects of aspect ratio, boundary conditions and different non-uniform loading conditions show significant influence on stability behaviour of the curved panels under tensile edge loading. The results hate been discussed in this article.