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为分析悬索桥主缆在活载下的变形,必须考虑在初始恒载下主缆所获得的重力刚度。利用缆索线形与简支梁弯矩图之间的比拟关系,并通过活载在竖向变位上所作的外力功等于缆索重力势能的改变这一功能原理,推导了主缆在活载下的竖向变形和内力的计算公式,以及重力刚度的解析表达式。最后通过算例分析,表明该文公式较现有其它公式具有更好的计算精度。
In order to analyze the deformation of the main cable under live load, we must consider the gravitational stiffness obtained from the main cable under initial constant load. Based on the comparison between the cable profile and the bending moment diagram of simply supported beam, and through the functional principle that the external force of the live load in the vertical displacement is equal to the change of the gravitational potential of the cable, the main cable under live load Vertical deformation and internal force calculation formula, as well as the analytical expression of gravity stiffness. Finally, an example is given to show that the formula has better calculation accuracy than other existing formulas.