气动力-安培力-谐波激励作用下载流导线的非线性振动特征  

On the Nonlinear Vibration Characteristics of Current-Carrying Conductor under the Aerodynamic-Ampere’s-Harmonic Excitation

作　　者：刘小会[1,3] 梁浩博 闵光云 杨曙光 伍川 蔡萌琦 LIU Xiaohui;LIANG Haobo;MIN Guangyun;YANG Shuguang;WU Chuan;CAI Mengqi(School of Civil Engineering,Chongqing Jiaotong University,Chongqing 400074,China;Sino-French Institute of Nuclear Engineering and Technology,Sun Yat-sen University,Zhuhai 519082,Guangdong,China;State Key Laboratory of Bridge and Tunnel Engineering in Mountain Areas,Chongqing Jiaotong University,Chongqing 400074,China;Henan Electric Power Research Institute,Zhengzhou 450052,Henan,China;School of Architecture and Civil Engineering,Chengdu University,Chengdu 610106,Sichuan,China)

机构地区：[1]重庆交通大学土木工程学院,重庆400074 [2]中山大学中法核工程与技术学院,广东珠海519082 [3]重庆交通大学省部共建山区桥梁及隧道工程国家重点实验室,重庆400074 [4]国网河南省电力公司电力科学研究院,河南郑州450052 [5]成都大学建筑与土木工程学院,四川成都610106

出　　处：《力学季刊》2021年第4期775-788,共14页Chinese Quarterly of Mechanics

基　　金：国家自然科学基金(51308570,51808085,51507106);重庆交通大学研究生科研创新项目(2021S0014);重庆市科委基础科学与前沿技术研究(cstc2017jcyjAX0246);重庆市教委科学技术研究项目(KJ201600712182);成都市国际科技合作资助项目(2020-GH02-00059-HZ);中国博士后基金(2021M702371)。

摘　　要：研究了气动力-安培力-受迫激励联合作用下载流新月形覆冰导线的振动特征,在传统只考虑安培力的载流导线振动方程中引入了气动力和受迫激励项,使得模型更加符合实际工程.首先建立了载流新月形覆冰输电导线模型,接着推导了载流覆冰导线模型的振动方程,利用Galerkin方法将该振动方程转变为有限维度的常微分方程,采用多尺度法进行摄动求解,求得幅-频响应函数,并对比分析主共振情况下考虑气动力与不考虑气动力时载流、间距、风速、张力、激励幅值对振动幅值的影响.研究结果表明:考虑气动力的振动幅值较未考虑气动力时小.各线路参数对导线的幅值都有一定程度的影响,并且使系统表现出明显的软弹簧特征和复杂的动力学行为.本文研究成果能为实际工程提供一定参考价值.The galloping characteristics of current-carrying crescent iced conductor under the combined aerodynamic-Ampere’sexternal force were investigated systematically. The aerodynamic force and external force were introduced into the traditional vibration equation of current-carrying conductor which only considers ampere’s force, making the model more consistent with the engineering practice. Firstly, the model of current-carrying crescent iced conductor was established, then the vibration equation of the model was derived. The vibration equation was transformed into a finite dimensional ordinary differential equation using the Galerkin method. The perturbation solutions and the corresponding amplitude-frequency response equations were derived using the multi-scale method. The influences of current-carrying, distance, wind speed, tension and excitation amplitude on the vibration amplitude with or without aerodynamic force were analyzed for the primary resonance. The results show that the vibration amplitude considering the action of aerodynamic force is smaller than that without considering the action of aerodynamic force.Each parameter of conductor has a certain influence on the amplitude of the conductor, and would make the system show obvious soft spring characteristics and complex dynamic behavior. The results of this paper can provide some references for practical engineering.

关 键 词：载流导线 新月形覆冰 舞动特征 多尺度法 气动力 

分 类 号：O322[理学—一般力学与力学基础]