Abstract
The special astronomical dome is an important instrument in the multi-object space detecting system. With the background of the special astronomical dome, the potential energy equations of center arch girder with displacement and angle as unknown fundamental quantities were established according to energy principle. The critical loading in buckling of the hinged center arch girder under erect orientation and radial orientation loading was calculated in this paper. The results are very valuable for designing the center arch girders of the special dome and solving the mechanical problems of the statically indeterminate arch girders with the similar structure.
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