温度场中输电线在谐扰力作用下的3次超谐共振  

3 SUPERHARMONIC RESONANCE OF WIRE SUBJECTED TO HARMONIC EXCITATION IN TEMPERATURE FIELD

作　　者：刘鹏飞[1] 杨志安[2] 黄永强[1] 

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

出　　处：《机械强度》2007年第6期881-884,共4页Journal of Mechanical Strength

摘　　要：研究输电线在温度场中谐扰力作用下的3次超谐共振问题,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。根据非线性振动的多尺度解法,得到系统满足3次超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、阻尼等对系统的影响。得到系统失稳的临界温度,指出幅频响应曲线存在跳跃现象。3 superharmonic resonance of wire subjected to harmonic excitation in temperature field is studied. The nonlinear vibration equation of wire subjected to harmonic excitation in temperature field is established by means of dynamics theory. According to the method of multiple scales for nonlinear vibration analysis, the approximation solution of 3 superharmonic resonance of the system is obtained. Numerical analysis on the influence of temperature, excitation, detuning, and damping on the system is carried out. Critical broken temperature value is acqired. It is pointed out that the system exists jump phenomena.

关 键 词：输电线 非线性振动 多尺度法 3次超谐 

分 类 号：TM726[电气工程—电力系统及自动化] O322[理学—一般力学与力学基础]