Shallow arches and panels are prone to snap-through instability. It is especially a problem in slender structural components used in the hostile operating environment of aerospace applications. Snap-through can be caused by the application of a lateral load, or through a change in the thermal environment:
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In the lower diagram the arch is repeatedly heated and then allowed to cool, resulting in a snap-buckling (the dns of the bent beam are clamped):
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But snap-through also occurs in deep arches, and a couple of slides briefly describing such a system are contained here.