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振型节点法估算短索索力的数值分析

, PP. 107-113

Keywords: 桥梁工程,振型节点法,节点间距,短索,索力,误差,计算长度,边界条件

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Abstract:

短索索力测试中计算长度的取值一直是频率法测索力的难题。提出振型节点法,利用3阶以上模态振型的中间节点间距作为计算长度计算索力。采用数值分析方法,对不同边界条件下应用振型节点法的理论误差做了研究。计算结果表明,相比两端铰接索的结果,带有弹性支承的索在振型节点间距和频率方面相差较大,但在使用振型节点法时二者作用相互抵消,索力估算误差并不大,因此,振型节点法对不同的边界条件具有很好的适用性;长细比和索力对误差的影响较大;无量纲参数ξ是影响振型节点法理论误差的重要参数,ξ与振型节点法误差的对数成线性关系,ξ越大,误差越小;在使用第3、第4和第5阶振型的情况下,ξ分别不小于12、15和18时,可保证振型节点法理论误差不大于1%。

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