振动与冲击
振動與遲擊
진동여충격
JOURNAL OF VIBRATION AND SHOCK
2014年
17期
62-67
,共6页
分裂导线%次档距振荡%机理%稳定理论%控制
分裂導線%次檔距振盪%機理%穩定理論%控製
분렬도선%차당거진탕%궤리%은정이론%공제
bundle conductor%subspan oscillation%mechanism%stability theory%control
基于准定常理论,建立了分裂导线次档距振荡的二维振子模型,推导了振子模型的振动方程。采用稳定性理论对振子模型进数值分析,研究了分裂导线次档距振荡的机理,首先将非线性振动微分方程线性化,然后根据特征值分析判断系统的稳定性。编制了次档距振荡发生临界风速求解的 MATLAB 程序,并对 Hopf 动态分岔理论、Hopf 静态分岔理论和不同阻尼比下的临界风速进行了研究,并给出了临界风速随频率比变化的关系,最后对次档距振荡的控制给出了建议。
基于準定常理論,建立瞭分裂導線次檔距振盪的二維振子模型,推導瞭振子模型的振動方程。採用穩定性理論對振子模型進數值分析,研究瞭分裂導線次檔距振盪的機理,首先將非線性振動微分方程線性化,然後根據特徵值分析判斷繫統的穩定性。編製瞭次檔距振盪髮生臨界風速求解的 MATLAB 程序,併對 Hopf 動態分岔理論、Hopf 靜態分岔理論和不同阻尼比下的臨界風速進行瞭研究,併給齣瞭臨界風速隨頻率比變化的關繫,最後對次檔距振盪的控製給齣瞭建議。
기우준정상이론,건립료분렬도선차당거진탕적이유진자모형,추도료진자모형적진동방정。채용은정성이론대진자모형진수치분석,연구료분렬도선차당거진탕적궤리,수선장비선성진동미분방정선성화,연후근거특정치분석판단계통적은정성。편제료차당거진탕발생림계풍속구해적 MATLAB 정서,병대 Hopf 동태분차이론、Hopf 정태분차이론화불동조니비하적림계풍속진행료연구,병급출료림계풍속수빈솔비변화적관계,최후대차당거진탕적공제급출료건의。
Based on the quasi-static aerodynamic theory,the oscillator model of 2-DOF for subspan oscillation of bundle conductors was built and its vibration equations were derived.The numerical analysis was conducted using the stability theory and the mechanism study on subspan oscillation of bundle conductors was made.Firstly,the nonlinear vibration equations were linearized.Then,the stability of the system was determined according to eigenvalue analysis. MATLAB program for subspan oscillation of bundle conductors was compiled.The critical wind speed was studied under Hopf dynamic bifurcation theory,Hopf static bifurcation theory and different damping ratios.The relationship between the critical wind speed and frequency ratio was deduced.Finally,some suggestions for the control of subspan oscillation of bundle conductors were presented.