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悬索桥主缆纵桥向约束刚度研究

, PP. 59-66

Keywords: 桥梁工程,悬索桥,能量原理,纵向刚度,主缆

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Abstract:

?为确定悬索桥主缆对桥塔的约束刚度,假定主缆线形为抛物线,通过变分原理获得主缆垂度改变与其跨长及水平力变化之间的关系。运用能量守恒原理,桥塔在活载作用下发生变形并引起主缆线形改变,与此同时,外力做功转化为结构重力势能及主缆的弹性应变能并提供对桥塔的约束作用,据此推导了主缆约束刚度解析表达式。为验证公式精度,建立悬索桥有限元模型进行验证,并与已有公式进行了对比,研究了边中跨比、中跨垂跨比以及主缆应力水平对边跨主缆纵向刚度的影响,给出了可直接用于估算边跨主缆刚度的相关图表。研究结果表明:采用提出的公式计算主缆初始切线刚度具有较高精度;忽略主缆的弹性变形对于中跨主缆刚度影响不大,对边跨主缆影响较大;边跨主缆的约束刚度与单位桥长恒载成正比,随着中跨垂跨比及边中跨比的减小而增大。

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