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设置中央扣悬索桥的扭转自振分析

, PP. 76-87

Keywords: 桥梁工程,悬索桥,连续模型,中央扣,反对称扭转振动,基频,估算公式

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Abstract:

?采用连续模型研究了设置中央扣悬索桥的扭转自振特性,建立了考虑跨中位移的分段主缆相容方程,以及跨中断面主缆纵向位移和中央扣、加劲梁变形的协调关系;应用哈密顿原理推导了扭转振动微分方程,求得振动频率方程和振型表达式,提取了决定自振特征的量纲一化参数,并作了参数分析;最后用里兹法推导了扭转基频的估算公式。研究结果表明:在反对称扭转振动时,主缆在中央扣前、后会产生反对称的附加缆力,从而提高该振型的频率;主缆弹性刚度与主缆重力刚度、加劲梁刚度之和的比值是悬索桥扭转特征的主导参数,决定了第1阶对称和反对称扭转振型的形态和排列次序;中央扣自身变形,以及加劲梁的侧向挠曲变形和扭翘变形都会减弱中央扣对主缆纵向位移的约束,在缆梁体系总体参数不变的前提下,中央扣刚度和跨中缆梁间距是影响反对称扭转基频大小的主要因素;2座属性各异的悬索桥基频计算结果验证了频率方程解、估算公式值与有限元结果吻合良好。

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