张弦梁结构振动方法索力识别(Ⅱ):实用公式及误差分析
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摘要
基于提出的张弦梁结构下弦拉索频率方程,研究了运用数值迭代求解方法进行索力求解的数值稳定性。结果表明,基于数值迭代求解方法识别索力精度无法保证。为提高精度及简化计算,通过分析迭代计算得到的反映频率与索力相关关系的曲线,和已有索力识别经验公式的形式特点,进行数值拟合,提出一组索力计算的实用公式。并对方法的误差敏感性、识别精度等进行了讨论。
Based on the frequency equation of the lower-chord cable of a beam string structure,the numerical stability for cable tension estimation was investigated using a numerical iterative solution method.The results illustrates that the solution precision could be guaranteed when using the proposed numerical iterative solution method.In order to improve and simplify the solution,the relationship between frequency and cable tension was studied by conducting numerical iterative computation.Furthermore,the format of the existing formula for cable tension identification was investigated,and one set of practical formula for cable tension identification were proposed by employing numerical fitting method.Error sensitivity and identification precision of the method were discussed in the end.
Based on the frequency equation of the lower-chord cable of a beam string structure,the numerical stability for cable tension estimation was investigated using a numerical iterative solution method.The results illustrates that the solution precision could be guaranteed when using the proposed numerical iterative solution method.In order to improve and simplify the solution,the relationship between frequency and cable tension was studied by conducting numerical iterative computation.Furthermore,the format of the existing formula for cable tension identification was investigated,and one set of practical formula for cable tension identification were proposed by employing numerical fitting method.Error sensitivity and identification precision of the method were discussed in the end.
引文
[1]张宇鑫,李国强,赵世峰.张弦梁结构振动方法索力识别(Ⅰ):振动特性的参数分析[J].振动与冲击,2009,28(3).
[2]Irvine HM.Cable Structures[M].Cambrige:The MITPress,1981.
[3]Zui H,Shinke T,Namita Y.Practical Formulas for Estimationof Cable Tension by Vibration Method[J].Journal of Structur-al Engineering,ASCE,1996,122(6):651-656.
[4]陈刚.振动法测索力与实用公式[D].福州:福州大学,2003.
[5]张开莹.钢索受力动力检测理论与试验研究[D].上海:同济大学,2005.
[6]张宏跃,田石柱.提高斜拉索索力估算精度的方法[J].地震工程与工程振动,2004,24(4):148-151.
[2]Irvine HM.Cable Structures[M].Cambrige:The MITPress,1981.
[3]Zui H,Shinke T,Namita Y.Practical Formulas for Estimationof Cable Tension by Vibration Method[J].Journal of Structur-al Engineering,ASCE,1996,122(6):651-656.
[4]陈刚.振动法测索力与实用公式[D].福州:福州大学,2003.
[5]张开莹.钢索受力动力检测理论与试验研究[D].上海:同济大学,2005.
[6]张宏跃,田石柱.提高斜拉索索力估算精度的方法[J].地震工程与工程振动,2004,24(4):148-151.
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