The Static and Dynamic Stability of Clamped Shallow Circular Arches

Citation

Cheung, Man Cheong (1969) The Static and Dynamic Stability of Clamped Shallow Circular Arches. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/8MXG-DE89. https://resolver.caltech.edu/CaltechETD:etd-11162005-081618

Abstract

NOTE: Text or symbols not renderable in plain ASCII are indicated by [...]. Abstract is included in .pdf document. An experimental investigation of the relationship between the dynamic buckling and the static buckling phenomenon was carried out. The first half of the paper studies the stability of shallow arches subjected to lateral forces. Concentrated static and step loads were applied to circular arches with geometric parameters 7 < [...] < 20. Equilibrium path and the dynamic response at the loading position were recorded. Dynamic buckling is distinct. Supercritical and subcritical responses were separated by [...] of the total load. The sensitivity of the arch to loading imperfection was studied. The effect was pronounced in the static tests but moderate in the dynamic responses. The second half of the paper studies the response of clamped circular arches under lateral impulse. The motion of the arch was recorded by a high speed camera and the deflected arch shape was measured in detail. The response was expressed in terms of the average displacement and three generalized displacement coordinates representing the amplitudes of the assumed mode shapes. The critical impulse is defined as the impulse level at the inflection point of the curve of maximum response versus impulse.

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