考虑弹性边界曲梁模型的覆冰输电线舞动分析-工程力学.pdf

第32 卷第1 期 Vol.32 No.1 工 程 力 学 2015 年 1 月 Jan. 2015 ENGINEERING MECHANICS 137 文章编号：1000-4750(2015)01-0137-08 考虑弹性边界曲梁模型的覆冰输电线舞动分析 1,2 1,2 1,2 1,2 霍 涛 ，晏致涛 ，李正良 ，颜志淼 (1. 重庆大学土木工程学院，重庆 400045 ，2. 山地城镇建设与新技术教育部重点实验室(重庆大学) ，重庆 400045) 摘 要：采用解析法求解覆冰输电线考虑弹性边界的曲梁舞动模型有助于深入理解舞动发生机理。根据扭转向频 率特性将三自由度舞动模型简化成更加适用于解析法求解的两自由度舞动模型，然后利用多尺度法分别推导出了 1 ∶1 和2 ∶1 内共振情况下的简化幅值方程。接着考察了自由度缩减方法差异引起的轴向模态函数变化和弹性边 界对舞动分岔和稳定、舞动幅值和临界风速的影响。结果显示，轴向模态函数的变化对 1 ∶1 内共振情况下分岔 和稳定、舞动幅值和临界风速的影响较小，对2 ∶1 内共振情况下相应值影响较大。当考虑截面偏心时，1 ∶1 内 共振条件下，弹性边界使发生不稳定舞动的风速范围减小。覆冰导线在弹性边界条件下的位移幅值相应减小，下 临界风速增大，上临界风速相应减小，舞动风速范围减小。 关键词：弹性边界；内共振；多尺度法；轴向模态函数；分岔稳定 中图分类号：TB122; TM75 文献标志码：A doi: 10.6052/j.issn.1000-4750.2013.07.0692 MULTI-SCALE METHOD GALLOPING ANALYSIS OF ICED TRANSMISSION LINES BASED ON CURVED-BEAM MODEL CONSIDERING ELASTIC BOUNDARY CONDITIONS HUO Tao1,2 , YAN Zhi-tao1,2 , LI Zheng-liang1,2 , YAN Zhi-miao1,2 (1. College of Civil Engineering, Chongqing University, Chongqing 400045, China; 2. Key Laboratory of New Technology for Construction of Cities in Mountain Area (Chongqing University), Ministry of Education, Chongqing 400045, China) Abstract: An analytical approach to solving the galloping model for iced transmission lines based on curved-beam theory and considering elastic boundary condition was developed and can contribute to understanding the galloping mechanism. A two-degree-of-freedom galloping model is reduced from a three-degree-of-freedom galloping model according to the frequency characteristic of rotational direction, then the multi-scale method was used to deduce the 1