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考虑了剪滞翘曲应力自平衡条件、剪力滞后、剪切变形和翘曲扭转等因素的影响,以最小势能原理为基础,建立了薄壁槽形曲梁的弹性控制微分方程和自然边界条件,获得了弯、扭、翘和剪滞效应相耦合广义位移的闭合解。算例中,分析了不同荷载形式、曲梁半径R、宽跨比等因素对曲线槽形梁力学特性的影响。该文解析法更好揭示了曲线槽形梁的力学特性以及各参数之间的内在关系,所得公式是对曲梁剪滞理论的发展。
Considering the self-balance of shear stress, shear lag, shear deformation and warpage, the elastic governing differential equation and the natural boundary of thin-walled curved girder are established based on the principle of minimum potential energy. Condition, the closed solution of generalized displacement coupled with bending, torsion, warpage and shear lag effect is obtained. In the example, the influence of different load forms, radius of curved beam R, width-span ratio and other factors on the mechanical behavior of curved channel beam is analyzed. The analytic method reveals the mechanical characteristics of curved channel girder and the inherent relationship between the parameters. The formula obtained is the development of the shear lag theory of curved beam.