固结拉索的一种近似频率计算公式

PDF(2997 KB)

振动与冲击 ›› 2013, Vol. 32 ›› Issue (6) : 149-151.

论文

固结拉索的一种近似频率计算公式

廖敬波1，唐光武1，孟利波1，郑罡1

作者信息 +

An Approximate Frequency Formula of Clamped Cable

LIAO Jing-bo, TANG Guang-wu , MENG LI-bo, ZHENG Gang

Author information +

文章历史 +

摘要

在固结索力识别的复杂过程中，频率方程中的双曲线函数项有可能造成数据溢出等病态问题。为了克服该数值问题和简化索力识别，利用双曲线函数和三角函数的数值特性，对双曲线函数项进行近似处理，得出简化的近似频率方程，并利用近似频率方程为周期函数的特点，推导了固结拉索的近似频率公式，通过数值算例验证了近似频率公式的合理性和可靠性。

Abstract

In the complex process of identifying the cable tension of the clamped cable, the data overflow may be caused by the exponential functions in the frequency function. In order to handle the numerical problem and simplify the identification of cable tension, the exponential functions are approximated according to the numerical properties of the exponential and trigonometric function, the approximate frequency function is deduced and the frequency formula of clamped cable is constructed using the periodicity of the approximate frequency function. Finally，the numerical examples verify the approximate frequency formula.

导出引用

廖敬波;唐光武;孟利波;郑罡. 固结拉索的一种近似频率计算公式[J]. 振动与冲击, 2013, 32(6): 149-151

LIAO Jing-bo;TANG Guang-wu;MENG LI-bo;ZHENG Gang. An Approximate Frequency Formula of Clamped Cable [J]. Journal of Vibration and Shock, 2013, 32(6): 149-151