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Abstract
A method of nonlinear analysis for a special type of self-erecting dome (the prebuckled dome) made by elastically buckling an array of wide, shallow members into a radial pattern of intersecting prestressed arches is presented. The nonlinear three-dimensional analysis of the prebuckled dome is conducted by uncoupling the dome into individual prebuckled arches. The individual arches are studied by formulating the problem as a two-point nonlinear boundary value problem. The system of arches is then reassembled to form the skeleton of the prebuckled dome by enforcing equilibrium and compatibility at the crown of the dome.
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