【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。更多还原

【Abstract】 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.更多还原