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Flexural-torsional stability of monosymmetric arches

机译:单对称拱的弯曲扭转稳定性

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A flexural-torsional buckling theory was developed herein for arches of monosymmetric cross section. The governing differential equations have been derived using the principle of minimum total potential energy. A special emphasis was placed during the derivatioln process on the methodology to maintain a consistent degree of approximation of the curvature effect. Closed form solutions were obtained for arches subjected to equal and opposite end moments (uniform bending), and to uniformly distributed radial loads (uniform compression). The method of assumed mode was used in determining the buckling loads with or without prebuckling in-lane deformation. Comparative studies with others have shown that the present study gives more accurate computation of buckling strength. It has been shown from the examination of the mode shapes and the computed buckling strength that unlike the case of doubly symmetric cross section, the buckling strength of monosymmetric arches is characterized bythe Wagner constant.
机译:本文针对单对称横截面的拱形开发了挠曲-挠曲屈曲理论。使用最小总势能原理导出了控制微分方程。在推导过程中,对方法学进行了特别强调,以保持曲率效应的近似一致程度。对于承受相等和相反的端力矩(均匀弯曲)以及均匀分布的径向载荷(均匀压缩)的拱,获得了闭合形式的解。假定模式的方法用于确定带或不带预变形车道内变形的屈曲载荷。与其他人的比较研究表明,本研究给出了更准确的屈曲强度计算。通过检查模态形状和计算的屈曲强度已经表明,与双对称横截面的情况不同,单对称拱的屈曲强度由瓦格纳常数表征。

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