周期荷载激励下覆冰输电线的主共振及谐波共振分析

Subjects: Mechanics >> Applied Mechanics submitted time 2023-03-20 Cooperative journals: 《应用力学学报》

刘小会 杨曙光 蔡萌琦 邹明 孙测世

Abstract： In onder to study the influence of dynamic wind on the nonlinear galloping characteristics of ice-coated transmission lines , a periodic excitation load was added to the galloping govern equation of ice-coatedtransmission lines under the condition of stable wind , and a new forced-self-excited vibration govern equa-tion was established.'The equation is also suitable for describing the influence of adjacent gear wires on themotion characteristics of galloping gear wires.Using the method of multiple scales to solve the self-excited system under weak excitation and strong excitation , respectively , the amplitude frequency function of theprimary resonance and harmonic resonance is obtained,and the primary , super-harmonic and subharmonicresonances of the forced self-excited system are analyzed. The results show that the primary resonanceunder weak excitation , the increase of wind speed or excitation amplitude will enhance the hard springcharacteristics and nonlinear characteristics of the system. In a self-excited system under strong excitation ,when the excitation frequency is close to integer multiples and fractional multiples of the natural frequency,the 2 super-harmonic resonance and 1/2 subhamonic resonance are more likely to occur. When 1/2 sub-harmonic resonance occurs , as the excitation amplitude increases , the response amplitude also increases.The tuning parameter corresponding to the resonance peak inclines to the positive axis , showing hard springcharacteristics, and the increase in wind speed enhance the nonlinearity and hard spring characteristics ofthe system.

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