지지조건(支持條件)을 고려(考慮)한 낮은 포물선(抛物線) 아치의 동적(動的) 임계하중(臨界荷重)의 해석(解析) = An Analysis of Dynamic Critical Loads for Low Parabolic Arches with Different End Conditions

다국어 초록 (Multilingual Abstract)

The differential equation, which can determine the dynamic critical loads for low parabolic arches, is derived in this study.
The dynamic critical loads of the parabolic arches subjected to a concentrated step load are nummerically analyzed for the changes of load positions. In cases of arches with different end conditions (both hinged, fixed hinged, both fixed), the effect of end conditions and that of the rises are investigated in detail.
The summary of the results are the following:
1) The snapthrough does not occur when the rise of arch is very low, and the bifurcation appears clearly as the rise of arch increases.
2) The regions in which the dynamic critical loads are not defined for the both ends fixed are broader than that for the both ends hinged.
3) For all case, the load positions of minimum dynamic critical loads exsit at the near position from the end hinged.
Thus, the results obtained in present study show that the magnitude of dynamic critical loads, the load positions of minimum dynamic critical loads and the regions in which the dynamic critical loads are not defined depend on end conditions of arches.