均匀受压三铰圆拱的屈曲

 本文基于经典线性理论,同时考虑了屈曲的径向位移和周向位移分量,由Trefftz稳定准则导得屈曲平衡微分方程及中间铰点的联接条件,并进一步导得求解非对称,不等截面均匀受压三铰圆拱屈曲载荷的超越方程,从而扩大了解题范围。将对称等截面情况的计算结果与Dinnik的结果相比较表明:忽略屈曲的周向位移分量,导致偏高的计算结果。

BUCKLING OF A UNIFORMLY COMPRESSED CIRCULAR ARCH WITH THREE HINGES

In this paper, based on the classical linear theory, both radial and tangential displacement components of buckling were considered. The equilibrium equations and connection conditions at the middle hinge were derived from Trefftz's stability criterion for buckling and the transcendental equations were derived for use in determining buckling loads of a uniformly compressed nonsymmetri-cal three-hinged circular arch with variable cross sections. Finally, the results calculated were compared with Dinnik' s for the case of symmetrical three-hinged circular arch with uniform cross section