温度场中输电线在谐扰力作用下的1/3次亚谐共振研究  

1/3 SUBHARMONIC RESONANCE OF SUSPENDED CABLE SUBJECTED TO HARMONIC EXCITATION IN TEMPERATURE FIELD

作　　者：杨志安[1] 刘鹏飞[2] 席晓燕[1] 

机构地区：[1]唐山学院唐山市结构与振动工程实验室,河北唐山063000 [2]河北理工大学机械工程学院,河北唐山063000

出　　处：《工程力学》2007年第8期182-187,共6页Engineering Mechanics

摘　　要：研究输电线在温度场中谐扰力作用下的1/3次亚谐共振问题,应用动力学方法建立温度场中受谐扰力作用输电线的非线性振动方程。根据非线性振动的多尺度解法,得到系统满足1/3次亚谐共振情况的近似解,并对其进行数值计算。分析温差变化、外部激励、谐调值、系统阻尼等对系统的影响。得到系统失稳的临界温度。系统随着调谐值和温差的增加,响应曲线的幅值增加;随着阻尼的增加,幅频响应曲线向开口方向移动。1/3 subharmonic resonance of suspended cable subjected to harmonic excitation in temperature field is studied. The nonlinear vibration equation of cable subjected to harmonic excitation in temperature field is established by means of dynamics theory. According to the method of multiple scales for nonlinear vibrations the approximation solution of 1/3 subharmonic resonance of the system is obtained. Numerical analysis on the influence of temperature, excitation, detuning, and damping on the system is carried out. Suspended cable may break when critical temperature difference occurs. With the increasing of detuning and temperature difference, amplitude response curves increase, With the increase of damping, amplitude frequency curves move to the opening mouth.

关 键 词：输电线 非线性振动 多尺度法 1/3次亚谐共振 温度场 

分 类 号：O321[理学—一般力学与力学基础]