[1]赵桂峰,张猛,李杰,等.高压输电导线非线性振动分析[J].郑州大学学报(工学版),2013,34(03):72-75.[doi:10.3969/j.issn.1671-6833.2013.03.018]
　ZHAO Gui-fengZHANG Meng,LI Jie,CHEN Huai.Response Analysis of Non-linear Vibration of High-VoltageTransmission Conductors[J].Journal of Zhengzhou University (Engineering Science),2013,34(03):72-75.[doi:10.3969/j.issn.1671-6833.2013.03.018]
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高压输电导线非线性振动分析()
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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:
34
期数:
2013年03期
页码:
72-75
栏目:
出版日期:
2013-05-31

文章信息/Info

Title:
Response Analysis of Non-linear Vibration of High-VoltageTransmission Conductors
作者:
赵桂峰; 张猛; 李杰; 等.
郑州大学土木工程学院,河南郑州450001;同济大学土木工程学院,上海200092, 郑州大学土木工程学院,河南郑州,450001, 同济大学土木工程学院,上海,200092
Author(s):
ZHAO Gui-feng1; 2ZHANG Meng1; LI Jie2; CHEN Huai’
1.School of Civil Engineering， Zhengahou University , Zhengzhou 450001 , China; 2.School of Civil Engineering，Tongi Uni-versity ,Shanghai 200092，China
关键词:
输电导线;  非线性振动;  主共振;  次谐波共振;  超谐波共振;  密频内共振
Keywords:
transmission conductor; nonlinear vibration; primary resonance; subharmonic resonance;  super-harmonic resonance; internal resonance due to closely spaced natural frequency
分类号:
TU351 TU32/399
DOI:
10.3969/j.issn.1671-6833.2013.03.018
文献标志码:
A
摘要:
为研究高压输电线路导线由几何非线性引起的非线性振动特点,采用扩展的Hamilton原理建立水平悬垂输电导线的三维运动方程,并将其约化为二维振动方程,应用Galerkin方法对其进行模态截断,得到有限自由度的离散运动方程,然后使用四阶的Runge-Kutta方法对离散方程进行数值求解,得到了导线在简谐激励作用时的面内响应和面外响应.数值分析结果表明:当考虑由垂度引起的几何非线性因素时,输电导线不仅会发生主共振,还会发生次谐波共振和超谐波共振,且面外振动与面内振动之间由于发生密频内共振致使输电导线在实际振动中发生能量传递,引起非直接受激的面内产生大幅振动,同时非线性振动也会对线路振动产生调频作用.
Abstract:
To investigate the nonlinear vibration characteristics of high-voltage transmission conductors causedby geometrical nonlinearity ， the 3D dynamical equations of the horizontal suspended transmission conductorsare derived through the expanded Hamilton ’s principle. Then the equations are reduced to 2D dynamical e-quations and are diverted into a set of ordinary differential equations through Galerkin procedure by assuming amodel deflection shape. Coupled out-of-plane and in-plane responses of the conductors under harmonic exter-nal excitation are studied by means of fouth-orderRunge-Kutta method. The results show that the nonlinearityproduces the primary resonance，the subharmonic resonance and the superharmonic resonance. Energy transi-tion phenomena may take place between out-of-plane vibrations and in-plane vibrations because of the internalresonance due to closely spaced natural frequencies. When the out-of-plane vibration is initiated， the in-planevibration can be excited and the response is periodic，changing the natural vibration characteristics of the sys-tem simultaneously.
更新日期/Last Update: 1900-01-01