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The effect of interaction of loadings on the change of buckling response of framed structures. (English) Zbl 0652.73033

In this investigation the effect of two loadings interaction and right angle deviation on the response of a rectangular two-bar frame is thoroughly discussed. It is found that there is a critical value of the two loadings ratio as well as of the right angle deviation for which the physical equilibrium path and the physically unacceptable complementary path meet each other at an asymmetric bifurcation point. This state constitutes the boundary between stability and instability, since the response of the frame changes from snap-through buckling to a stable equilibrium path. Moreover, a very efficient and simple to use stability analysis, employed for the first time at a non-rectangular frame, gives reliable results compared to those of the nonlinear kinematic stability analysis.

MSC:

74G60 Bifurcation and buckling
74R20 Anelastic fracture and damage
74B20 Nonlinear elasticity
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
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