齒面摩擦對齒輪傳動系統(tǒng)分岔與混沌特性的影響分析
發(fā)布時間:2018-05-11 15:20
本文選題:齒面摩擦 + 齒輪傳動系統(tǒng); 參考:《機(jī)械設(shè)計與研究》2016年06期
【摘要】:為研究齒面摩擦對直齒圓柱齒輪傳動系統(tǒng)振動特性的影響,建立了包含齒面摩擦在內(nèi)的六自由度齒輪嚙合耦合型動力學(xué)模型。模型采用能量法計算齒輪嚙合的時變嚙合剛度,同時考慮了嚙合誤差、間隙非線性以及負(fù)載扭矩等因素。通過四階變步長Runge-Kutta積分法對模型進(jìn)行數(shù)值分析,得到齒輪系統(tǒng)隨齒面摩擦系數(shù)變化下的時間歷程圖、相位圖、Poincare截面圖、分岔圖等,定性分析了齒輪系統(tǒng)對齒面摩擦變化下的動力學(xué)周期、擬周期、分叉和混沌的運(yùn)動演化歷程,并通過實驗進(jìn)行了驗證。結(jié)果表明,隨著齒面摩擦系數(shù)的增大,齒輪系統(tǒng)動態(tài)特性響應(yīng)逐漸復(fù)雜。
[Abstract]:In order to study the influence of tooth surface friction on the vibration characteristics of spur gear transmission system, a six degree of freedom gear meshing coupling dynamic model including tooth surface friction was established. In the model, the time-varying meshing stiffness of gear meshing is calculated by energy method, and the factors such as meshing error, gap nonlinearity and load torque are considered. Through the numerical analysis of the model by the fourth order variable step size Runge-Kutta integration method, the time history diagram, the phase diagram and the bifurcation diagram of the gear system with the change of the tooth surface friction coefficient are obtained. The dynamic period, quasi period, bifurcation and chaos evolution of gear system under the change of tooth surface friction are qualitatively analyzed and verified by experiments. The results show that the dynamic response of gear system becomes more and more complicated with the increase of the friction coefficient of gear surface.
【作者單位】: 北京建筑大學(xué)機(jī)電與車輛工程學(xué)院;北京建筑大學(xué)城市軌道交通車輛服役性能保障北京市重點(diǎn)實驗室;太原科技大學(xué)機(jī)械工程學(xué)院;
【基金】:長城學(xué)者培養(yǎng)計劃(CIT&TCD20150312) 國家自然科學(xué)基金(51175028)資助項目
【分類號】:TH132.41
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