多档导线面内动态特性及共振条件分析

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振动与冲击 ›› 2018, Vol. 37 ›› Issue (18) : 18-29.

论文

多档导线面内动态特性及共振条件分析

刘小会1,胡友1，严波2，蔡萌琦3

作者信息 +

Dynamic characteristic and resonance conditions of multi-span conductors#br#

LIU Xiaohui1,HU You1,YAN Bo2,CAI Mengqi3

Author information +

文章历史 +

摘要

基于振动理论给出了连续档导线频率计算公式，应用子结构理论获得连续档导线的模态函数。根据理论公式得到不同档数及张力情况下连续档导线频率值及模态形状，与相应的有限元结果吻合，验证了理论公式的准确性。根据频率理论公式揭示了连续档导线几何参数对无量纲频率的影响规律，预测了连续档导线不同模态之间产生共振的条件，结果表明连续档导线产生面内多模态耦合的条件与单档导线区别明显。采用Galerkin方法离散连续档导线控制方程得到了多模态耦合的非线性常微分方程，为进一步研究连续档导线内共振时的分岔行为奠定了理论基础。

Abstract

The calculation formulas for natural frequencies of continuous spans conductors based on the vibration theory were proposed, and the mode shapes based on the sub-structure approach were obtained.The natural frequencies and mode shapes calculated by the formulas under different span numbers and tension forces were in good agreement with the results of the finite element method, and thus the reliability of the theoretical formulas was verified.The influence of geometric parameters of continuous spans conductors on the dimensionless frequencies was revealed.The conditions for the resonance between different modes of continuous spans conductors were investigated and it is shown that the multi-mode coupling conditions were obviously different from those of single span ones.The motion equations of continuous spans conductors were discretized by using Galerkin procedure, then the non-linear ordinary-differential equations for the multi-mode coupled vibration were obtained.These results establish the base for the study of bifurcation behaviors in the strong internal resonance of continuous spans conductors.

导出引用

刘小会1,胡友1，严波2，蔡萌琦3. 多档导线面内动态特性及共振条件分析[J]. 振动与冲击, 2018, 37(18): 18-29

LIU Xiaohui1,HU You1,YAN Bo2,CAI Mengqi3. Dynamic characteristic and resonance conditions of multi-span conductors#br# [J]. Journal of Vibration and Shock, 2018, 37(18): 18-29

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