固结拉索的一种近似频率计算公式

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.%In the complex process of identifying the cable tension of clamped cables, the data overflow may be caused by the exponential function terms in the frequency equation. In order to handle the numerical problem and simplify the identification of cable tension, the exponential functions were approximated according to the numerical properties of exponential and trigonometric functions. The approximate frequency equation was deduced and the frequency expression of clamped cables was constructed using the periodicity of the equation. Some numerical examples verify the rationality and realibility of the approximate frequency formula.