GAMM 2011 - 82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics

Sprache des Tagungstitel:

Englisch

Original Kurzfassung:

In lightweight design, e. g. in the design of airframe structures, the webs of profiles, which are loaded by bending, are often provided with holes. These cutouts serve as lightening holes to
save structural weight as well as passage for system installations like wire bundles or hydraulic lines. However, the sizing of webs with holes is difficult as the cutout causes a rather complex
stress state. In addition to that the free edges of the hole increase the web?s sensitivity to buckling significantly. Aim of this presentation is to provide a method to calculate the critical
buckling shear stress of webs with holes of certain geometry.
The method bases on geometrically and physically non-linear numerical simulations in which onset of buckling of the web in different structural situations is calculated. The model consists
of a plate with an infinite length under pure shear. The upper and lower edge are simply supported which represents the flanges of the cross-section. An elasto-plastic formulation is used to model the material?s behaviour. The studies include webs of beams with and without holes with different geometries and consider certain metals. In addition to that webs with and without upright stiffeners are investigated. By means of the results of the computations a semi-analytical method is derived. It takes account for different materials, geometries of the hole and web-support by stiffeners. The
method is prepared in a way that a fast and easy handling is ensured.