本文選題：非線性動力學　切入點：多轉(zhuǎn)子系統(tǒng)　出處：《西安科技大學》2012年碩士論文　論文類型：學位論文

【摘要】：轉(zhuǎn)子系統(tǒng)在機械、動力、航空和航天等領(lǐng)域有著廣泛的應用，是機器設備的重要組成部分。因此研究在非線性油膜力作用下轉(zhuǎn)子系統(tǒng)的振動特性對安全運行和狀態(tài)監(jiān)測具有重要意義。本文以具有軸承不對中的多跨轉(zhuǎn)子系統(tǒng)為研究對象，闡述了不同非線性油膜力模型假設，研究了在不同參數(shù)下系統(tǒng)的非線性動力學特征，分析了系統(tǒng)的分叉圖、時域圖、頻譜圖以及龐加萊截面圖，然后用實驗來驗證模型假設的合理性；最后以非線性油膜力作用下圓錐齒輪轉(zhuǎn)子系統(tǒng)為研究對象，對圓錐齒輪轉(zhuǎn)子系統(tǒng)進行數(shù)值分析，分析系統(tǒng)的分叉圖、時域圖、頻譜圖以及龐加萊截面圖等來研究系統(tǒng)的非線性動力學特征。通過分析得到以下結(jié)論： 1、基于短軸承模型分析了柔性轉(zhuǎn)子系統(tǒng)的動力學特性，結(jié)果表明：具有輕微的軸承不對中情況下，在轉(zhuǎn)速較低時系統(tǒng)呈同步周期的運動，隨著轉(zhuǎn)速的增加，出現(xiàn)倍周期分叉。且在周期1、周期2和準周期間反復交替出現(xiàn)。而當采用長軸承模型時，在轉(zhuǎn)速較低時系統(tǒng)的運動仍然為同步周期運動，即軸承不對中量對系統(tǒng)運動的影響并不明顯。隨著轉(zhuǎn)速的增大，系統(tǒng)運動表現(xiàn)為準周期運動，且有跳躍到周期1的運動狀態(tài)。 2、討論了轉(zhuǎn)子參數(shù)變化對系統(tǒng)非線性動力學特性的影響，重點研究了質(zhì)量不對稱和軸承不對中量對系統(tǒng)動力學行為的變化情況。結(jié)果顯示，兩邊質(zhì)量不對稱時，隨著轉(zhuǎn)速的不斷增加，系統(tǒng)轉(zhuǎn)速的倍周期分叉較質(zhì)量對稱系統(tǒng)提前，且系統(tǒng)的運動出現(xiàn)了周期8運動。另外，隨著轉(zhuǎn)速的增大，不對中量對系統(tǒng)的運動狀態(tài)的影響越明顯。 3、對具有軸承不對中轉(zhuǎn)子系統(tǒng)的動力學特性進行了實驗研究，并將測試與數(shù)值分析結(jié)果進行了比較。結(jié)果顯示實驗和數(shù)值模擬得到的動力學行為例如軸心軌跡、頻譜圖相近，從而驗證了上述力學模型的合理性。 4、研究了在不平衡質(zhì)量和非線性油膜力作用下圓錐齒輪轉(zhuǎn)子系統(tǒng)的非線性動力學特性。結(jié)果表明：在低轉(zhuǎn)速時轉(zhuǎn)子運動為周期1，此時轉(zhuǎn)子的運動表現(xiàn)為不平衡響應；隨著轉(zhuǎn)速的增加，轉(zhuǎn)子的振幅急劇增大，，當達到一定值時，轉(zhuǎn)子直至碰到軸承內(nèi)壁。
[Abstract]:Rotor systems are widely used in mechanical, power, aerospace and other fields. Therefore, it is important to study the vibration characteristics of rotor system under the action of nonlinear oil film force for safe operation and condition monitoring. In this paper, the multi-span rotor system with bearing misalignment is taken as the research object. The assumptions of different nonlinear oil film force models are expounded, the nonlinear dynamics characteristics of the system under different parameters are studied, and the bifurcation diagram, time domain diagram, spectrum diagram and Poincare sectional diagram of the system are analyzed. Finally, taking the bevel gear rotor system under the action of nonlinear oil film force as the research object, the numerical analysis of the bevel gear rotor system is carried out, and the bifurcation diagram and time domain diagram of the system are analyzed. The nonlinear dynamic characteristics of the system are studied by spectrum diagram and Poincare section. The following conclusions are obtained by analysis:. 1. Based on the short bearing model, the dynamic characteristics of the flexible rotor system are analyzed. The results show that under the condition of slight misalignment of the bearing, the system moves synchronously with the increase of the rotational speed when the rotational speed is low. Double period bifurcation appears. And it appears alternately during period 1, period 2 and quasi cycle. When the long bearing model is adopted, the motion of the system is still synchronous period motion at low rotational speed. With the increase of rotational speed, the motion of the system is quasi-periodic, and it has the state of jumping to period 1. 2. The influence of rotor parameters on the nonlinear dynamic characteristics of the system is discussed, and the variation of mass asymmetry and bearing misalignment on the dynamic behavior of the system is studied. The results show that when the mass on both sides is asymmetric, With the increasing of the rotational speed, the cycle doubling bifurcation of the system speed is earlier than that of the mass-symmetric system, and the motion of the system has a period of 8 motions. In addition, with the increase of the rotational speed, the effect of the non-alignment on the motion state of the system becomes more obvious. 3. The dynamic characteristics of the bearing non-transfer subsystem are studied experimentally, and the results of the test and numerical analysis are compared. The results show that the dynamic behavior obtained from the experiment and numerical simulation, such as the axis trajectory, is similar to the spectrum diagram. Therefore, the rationality of the above mechanical model is verified. 4. The nonlinear dynamic characteristics of the bevel gear rotor system under the action of unbalance mass and nonlinear oil film force are studied. The results show that the rotor motion is periodic 1 at low speed, and the rotor motion is unbalance response. With the increase of rotational speed, the amplitude of the rotor increases sharply. When the rotor reaches a certain value, the rotor encounters the inner wall of the bearing.
【學位授予單位】：西安科技大學
【學位級別】：碩士
【學位授予年份】：2012
【分類號】：TH113

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