盾構機多級行星輪系非線性動態(tài)特性研究
發(fā)布時間:2018-10-24 16:15
【摘要】:為揭示盾構機驅動刀盤的三級行星傳動的主減速器系統(tǒng)的非線性動力學行為,建立了考慮行星數(shù)、齒側間隙和動載荷的純扭轉耦合非線性動力學模型。推導嚙合點處的各零件間的相對位移,建立系統(tǒng)微分方程組,對微分方程組進行坐標變換,并進行無量綱化處理,然后利用變步長四階龍格庫塔法對無量綱化微分方程組進行求解,獲得傳動機構的相圖、龐加萊圖,通過改變激勵幅值和嚙合剛度,分析參數(shù)變化對系統(tǒng)非線性動態(tài)特性的影響。結果表明,隨著激勵幅值的增加,系統(tǒng)由穩(wěn)定的單周期運動狀態(tài)進入二周期運動狀態(tài),然后經(jīng)多周期運動進入混沌運動;隨著嚙合剛度的增加,系統(tǒng)由混沌運動狀態(tài)進入多周期運動狀態(tài),最后穩(wěn)定于單周期運動狀態(tài);增大嚙合剛度ks3,以及減小激勵幅值,均能提高系統(tǒng)的穩(wěn)定性。
[Abstract]:In order to reveal the nonlinear dynamic behavior of the main reducer system of three-stage planetary drive driven by shield machine, a pure torsional coupling nonlinear dynamic model considering the number of planets, tooth clearance and dynamic load was established. The relative displacement of the parts at the meshing point is deduced, the system differential equation group is established, the coordinate transformation of the differential equation system is carried out, and the dimensionless processing is carried out. Then the fourth order Runge-Kutta method with variable step size is used to solve the dimensionless differential equations. The phase diagram, Poincare diagram of the transmission mechanism is obtained by changing the excitation amplitude and meshing stiffness. The influence of parameter variation on the nonlinear dynamic characteristics of the system is analyzed. The results show that, with the increase of excitation amplitude, the system changes from the steady state of single-period motion to the state of two-period motion, then through the motion of multi-period into chaotic motion, and with the increase of meshing stiffness, The stability of the system can be improved by increasing the meshing stiffness ks3, and reducing the excitation amplitude.
【作者單位】: 無錫工藝職業(yè)技術學院;燕山大學機械工程學院;
【基金】:國家重點基礎研究發(fā)展計劃(973計劃)課題子課題(2013CB733003)
【分類號】:TH132.425
,
本文編號:2291884
[Abstract]:In order to reveal the nonlinear dynamic behavior of the main reducer system of three-stage planetary drive driven by shield machine, a pure torsional coupling nonlinear dynamic model considering the number of planets, tooth clearance and dynamic load was established. The relative displacement of the parts at the meshing point is deduced, the system differential equation group is established, the coordinate transformation of the differential equation system is carried out, and the dimensionless processing is carried out. Then the fourth order Runge-Kutta method with variable step size is used to solve the dimensionless differential equations. The phase diagram, Poincare diagram of the transmission mechanism is obtained by changing the excitation amplitude and meshing stiffness. The influence of parameter variation on the nonlinear dynamic characteristics of the system is analyzed. The results show that, with the increase of excitation amplitude, the system changes from the steady state of single-period motion to the state of two-period motion, then through the motion of multi-period into chaotic motion, and with the increase of meshing stiffness, The stability of the system can be improved by increasing the meshing stiffness ks3, and reducing the excitation amplitude.
【作者單位】: 無錫工藝職業(yè)技術學院;燕山大學機械工程學院;
【基金】:國家重點基礎研究發(fā)展計劃(973計劃)課題子課題(2013CB733003)
【分類號】:TH132.425
,
本文編號:2291884
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