张弦梁结构振动方法索力识别(Ⅱ):实用公式及误差分析

张宇鑫;李国强;赵世峰

振动与冲击 ›› 2009, Vol. 28 ›› Issue (3) : 158-160.

振动与冲击 ›› 2009, Vol. 28 ›› Issue (3) : 158-160.
论文

张弦梁结构振动方法索力识别(Ⅱ):实用公式及误差分析

  • 张宇鑫1,李国强2,赵世峰1
作者信息 +

Vibration-based cable tension identification of a beam string structure (Ⅱ):practical formula& error analysis

  • ZHANG Yu-xin1, LIGuo-qiang2, ZHAO Shi-feng1
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文章历史 +

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。

Abstract

Based on the frequency equation of the lower-chord cable of a beam string structure, the numerical sta-
bility for cable tension estimationwas investigated using a numerical iterative solutionmethod. The results illustrates that
the solution precision could be guaranteed when using the proposed numerical iterative solution method. In order to im-
prove and simplify the solution, the relationship between frequency and cable tensionwas studied by conducting numerical
iterative computation. Furthermore, the formatof the existing formula for cable tension identificationwas investigated, and
one setof practical formula for cable tension identification were proposed by employing numerical fittingmethod. Error
sensitivity and identification precision of themethodwere discussed in the end.

关键词

张弦梁结构 / 振动 / 索力 / 识别 / 误差

Key words

beam string structure(BSS) / vibration / cable tension / identification / error sensitivity

引用本文

导出引用
张宇鑫;李国强;赵世峰. 张弦梁结构振动方法索力识别(Ⅱ):实用公式及误差分析[J]. 振动与冲击, 2009, 28(3): 158-160
ZHANG Yu-xin;LIGuo-qiang;ZHAO Shi-feng. Vibration-based cable tension identification of a beam string structure (Ⅱ):practical formula& error analysis[J]. Journal of Vibration and Shock, 2009, 28(3): 158-160

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