| 《Government Work Report of The State Council in 2021》,the action plan for peaking carbon emissions by 2030 has been formulated,which means higher requirement for electricity and transmission wire vibration prevention.Transmission line breeze vibration is the most common form of wind vibration with high frequency and long duration of vibration.Transmission line fatigue failure,break and other problems are easy to be caused.Therefore,it is of great engineering significance to study the anti-vibration measures of transmission line breeze vibration.In this paper,the vibration control mechanism of tuned mass damper inerter(TMDI)is studied for single pitch single transmission wire.The vibration control of transmission wireTMDI under simple harmonic excitation is studied because of local excitation caused by local lock-in effect of breeze vibration.The main research contents of this paper include:1.Based on the structural dynamics theory,the dynamic equations of the single degree of freedom of the main structure with additional grounded and ungrounded TMDI under the harmonic load were established.the parameters of TMDI were optimized by fixed-point theory method,and the optimal frequency ratio and damping ratio were obtained through a lot of calculation simplification by Mathematica software.The influence of different connection mode on vibration reduction performance of single degree of freedom,and the influence of various parameters on TMDI frequency modulation width and structure robustness were analyzed.2.Based on the dynamics method and breeze vibration characteristics,the transmission line-grounded TMDI differential equation is established.Through the excitation force and grounded TMDI force calculation formula,the displacement response spectrum of transmission line and transmission line-grounded TMDI system is obtained by using mode decomposition method and Fourier transform method.The control effect of grounded TMDI applied to transmission wire is analyzed.3.The transmission line-ungrounded TMDI differential equation is established based on the dynamics method and breeze vibration characteristics.Through the excitation force and ungrounded TMDI force calculation formula,the displacement response spectrum of transmission line and transmission line-ungrounded TMDI system is obtained by using mode decomposition method and Fourier transform method.The best ungrounded TMDI control effect is selected by adjusting the connection position of inerter and the vibration reduction performance of ungrounded TMDI was analyzed by comparing with TMD and grounded TMDI.4.According to the transmission line-grounding and transmission line-ungrounded TMDI dynamics equations,the finite difference method with fourth-order accuracy and finite element idea are adopted and through Matlab programming to solve.Meanwhile,the correctness of the program is verified by comparing with classical examples.The program is used to solve the vibration displacement amplitude of transmission line grounded and ungrounded TMDI,and the effects of grounded and ungrounded TMDI parameters are analyzed. |
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