郑州大学学报（工学版）2013，Vol.34Issue(3)：72-75,4.DOI:10.3969/j.issn.1671-6833.2013.03.018
高压输电导线非线性振动分析
Response Analysis of Non-linear Vibration of High-Voltage Transmission Conductors
摘要
Abstract
To investigate the nonlinear vibration characteristics of high-voltage transmission conductors caused by geometrical nonlinearity,the 3D dynamical equations of the horizontal suspended transmission conductors are derived through the expanded Hamilton' s principle.Then the equations are reduced to 2D dynamical equations and are diverted into a set of ordinary differential equations through Galerkin procedure by assuming a model deflection shape.Coupled out-of-plane and in-plane responses of the conductors under harmonic external excitation are studied by means of fouth-order Runge-Kutta method.The results show that the nonlinearity produces the primary resonance,the subharmonic resonance and the superharmonic resonance.Energy transition phenomena may take place between out-of-plane vibrations and in-plane vibrations because of the internal resonance due to closely spaced natural frequencies.When the out-of-plane vibration is initiated,the in-plane vibration can be excited and the response is periodic,changing the natural vibration characteristics of the system simultaneously.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Key words
transmission conductor/ nonlinear vibration / primary resonance/ subharmonic resonance / superharmonic resonance/ internal resonance due to closely spaced natural frequency分类
建筑与水利引用本文复制引用
赵桂峰,张猛,李杰,陈淮..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(3):72-75,4.基金项目
国家自然科学基金资助项目(51108425) （51108425）
国家自然科学基金委创新研究群体资助项目(50621062) （50621062）
