3ヒンジ円形アーチの座屈について

Abstract

In the case of buckling of 3-hinged parabolic arch under vertical uniform load, the 3-types of buck1ing modes have been confirmed experimentally. Therefore, it is expected that there may be 3-types of buckling mode concerning the elastic buck1ing of 3-hinged circular arch under circular uniform load. In this paper, the critical loads and buck1ing modes of arbitrary types of 3-hinged circular arches were analyzed under circular uniform load, bγusing the finite deformation equation of 3-hinged arch. As a resu1t of numerical analysis, 2-types of symmetric buck1ing modes, l-type of antisy- mmetric buck1ing mode and the other type of buckling mode in asymmetric 3-hinged arch are confirmed theoretically. Moreover the buckling characteristics, which are the relation between the central angle and critical load, and the relation between the slenderness ratio and critical load are clarified.