摘要
采用二分法对拉索的索力与抗弯刚度进行同时识别,来满足桥梁工程中快速、准确的识别索力与抗弯刚度的要求。通过将频率方程进行数学上的处理和简化,成为简化的频率方程,并考虑初等函数曲线的性质,采用二分法在指定区间内迭代的方法,求解该简化方程的根,可以实现由索力求解任意阶的频率,或由至少2阶(频阶任意)的频率识别索力和抗弯刚度。在Excel中建立数值拉索,利用其VBA平台,编程实现了该方法的自动计算;与ANSYS结果对比,表明精度满足工程要求。
Dichotomy method is used in cable parameter identification,in order to satisfy the need of identifying cable tension and flexural rigidity quickly and accurately. A simplified frequency equation can be acquired by adopting mathematical treatment and simplification to the frequency equation.Taking the property of elementary function curve into consideration,dichotomy method is adopted to find the solution of simplified frequency equation in specified interval according to frequency mode,to realize the identification of cable tension and flexural rigidity according to at least 2（ or more） arbitrary modes of frequency. Cable frequency of arbitrary mode can also be calculated according to given cable tension and flexural rigidity. Numeric cables are created in Excel and a program is developed base on VBA platform to implement the parameter identification automatically. The calculation result compared to ANSYS result,shows that the identification error satisfies the engineering demand.
出处
《江西科学》
2014年第5期667-673,共7页
Jiangxi Science
基金
国家自然科学基金项目(11202080)
广东省交通运输厅科技项目(科技-2012-02-024)
关键词
频率法
二分法
索力
抗弯刚度
参数识别
VBA
vibration method
dichotomy method
cable tension
flexural rigidity
parameter identification
VBA
