Abstract
The problem of stability of shallow, two-pinned, sinusoidal arches subjected to a randomly varying symmetrically distributed lateral loading is investigated. Though the deformation of the arch is initially symmetric, buckling is initiated when an antisymmetric mode is picked up at a certain critical value of the loading. Based on an analysis previously developed by the authors for asymmetric snap-buckling cases applicable to shell problems, analytical expressions are derived for calculating the probability of first snapping of the arch in a specified time interval from an initial stable equilibrium state. Numerical results for a particular example of an arch specimen are presented and discussed.
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