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多塔连跨悬索桥基频估算实用公式

, PP. 58-62

Keywords: 桥梁工程,多塔连跨悬索桥,基频估算,能量原理,中塔刚度,主跨数

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Abstract:

多塔连跨悬索桥的动力特性与中塔刚度、主跨数目等设计参数密切相关,而我国现有规范中的悬索桥基频估算公式是基于单跨悬索桥推导的,无法体现这些设计参数的影响,故不适用于多塔连跨悬索桥.基于能量原理,提出了多塔连跨悬索桥的竖弯和扭转自由振动基本方程,并通过修正振型基函数的Rayleigh法求解,得到了多塔连跨悬索桥的基频估算公式.考虑到工程实用性,通过量级分析略去了公式中的次要项,并对设计中难以获得的部分参数进行了近似处理,得到了多塔连跨悬索桥基频估算实用公式.最后给出了中塔刚度、主跨数、中塔约束条件、跨径等多个设计参数变化下的多塔连跨悬索桥算例.通过估算公式结果与有限元模型计算结果的对比表明,该基频估算实用公式有较高的精度,在多塔连跨悬索桥的初步设计阶段有较好的应用价值.

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