Stability analysis of the single-layer dome in probabilistic description by the Monte Carlo method

The paper shows the application of the Monte Carlo method to the stability analysis of a single-layer shallow (h/d = 0.04) dome modelled with frame elements. Structures of this type are characterized by strong nonlinearity, consequently, they are extremely susceptible to stability loss resulting from the node snap-through. It is necessary to perform a nonlinear stability analysis that allows determination of limit points related to that mode of stability failure. This paper shows that with the reliability analysis methods, it is possible to trace the failure probability level while moving along the load-displacement path towards the limit point.