本文選題：非線(xiàn)性動(dòng)力學(xué)　切入點(diǎn)：多轉(zhuǎn)子系統(tǒng)　出處：《西安科技大學(xué)》2012年碩士論文　論文類(lèi)型：學(xué)位論文

【摘要】：轉(zhuǎn)子系統(tǒng)在機(jī)械、動(dòng)力、航空和航天等領(lǐng)域有著廣泛的應(yīng)用，是機(jī)器設(shè)備的重要組成部分。因此研究在非線(xiàn)性油膜力作用下轉(zhuǎn)子系統(tǒng)的振動(dòng)特性對(duì)安全運(yùn)行和狀態(tài)監(jiān)測(cè)具有重要意義。本文以具有軸承不對(duì)中的多跨轉(zhuǎn)子系統(tǒng)為研究對(duì)象，闡述了不同非線(xiàn)性油膜力模型假設(shè)，研究了在不同參數(shù)下系統(tǒng)的非線(xiàn)性動(dòng)力學(xué)特征，分析了系統(tǒng)的分叉圖、時(shí)域圖、頻譜圖以及龐加萊截面圖，然后用實(shí)驗(yàn)來(lái)驗(yàn)證模型假設(shè)的合理性；最后以非線(xiàn)性油膜力作用下圓錐齒輪轉(zhuǎn)子系統(tǒng)為研究對(duì)象，對(duì)圓錐齒輪轉(zhuǎn)子系統(tǒng)進(jìn)行數(shù)值分析，分析系統(tǒng)的分叉圖、時(shí)域圖、頻譜圖以及龐加萊截面圖等來(lái)研究系統(tǒng)的非線(xiàn)性動(dòng)力學(xué)特征。通過(guò)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(dòng)力學(xué)特性，結(jié)果表明：具有輕微的軸承不對(duì)中情況下，在轉(zhuǎn)速較低時(shí)系統(tǒng)呈同步周期的運(yùn)動(dòng)，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(zhǔn)周期間反復(fù)交替出現(xiàn)。而當(dāng)采用長(zhǎng)軸承模型時(shí)，在轉(zhuǎn)速較低時(shí)系統(tǒng)的運(yùn)動(dòng)仍然為同步周期運(yùn)動(dòng)，即軸承不對(duì)中量對(duì)系統(tǒng)運(yùn)動(dòng)的影響并不明顯。隨著轉(zhuǎn)速的增大，系統(tǒng)運(yùn)動(dòng)表現(xiàn)為準(zhǔn)周期運(yùn)動(dòng)，且有跳躍到周期1的運(yùn)動(dòng)狀態(tài)。 2、討論了轉(zhuǎn)子參數(shù)變化對(duì)系統(tǒng)非線(xiàn)性動(dòng)力學(xué)特性的影響，重點(diǎn)研究了質(zhì)量不對(duì)稱(chēng)和軸承不對(duì)中量對(duì)系統(tǒng)動(dòng)力學(xué)行為的變化情況。結(jié)果顯示，兩邊質(zhì)量不對(duì)稱(chēng)時(shí)，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(duì)稱(chēng)系統(tǒng)提前，且系統(tǒng)的運(yùn)動(dòng)出現(xiàn)了周期8運(yùn)動(dòng)。另外，隨著轉(zhuǎn)速的增大，不對(duì)中量對(duì)系統(tǒng)的運(yùn)動(dòng)狀態(tài)的影響越明顯。 3、對(duì)具有軸承不對(duì)中轉(zhuǎn)子系統(tǒng)的動(dòng)力學(xué)特性進(jìn)行了實(shí)驗(yàn)研究，并將測(cè)試與數(shù)值分析結(jié)果進(jìn)行了比較。結(jié)果顯示實(shí)驗(yàn)和數(shù)值模擬得到的動(dòng)力學(xué)行為例如軸心軌跡、頻譜圖相近，從而驗(yàn)證了上述力學(xué)模型的合理性。 4、研究了在不平衡質(zhì)量和非線(xiàn)性油膜力作用下圓錐齒輪轉(zhuǎn)子系統(tǒng)的非線(xiàn)性動(dòng)力學(xué)特性。結(jié)果表明：在低轉(zhuǎn)速時(shí)轉(zhuǎn)子運(yùn)動(dòng)為周期1，此時(shí)轉(zhuǎn)子的運(yùn)動(dòng)表現(xiàn)為不平衡響應(yīng)；隨著轉(zhuǎn)速的增加，轉(zhuǎn)子的振幅急劇增大，，當(dāng)達(dá)到一定值時(shí)，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(xué)位授予單位】：西安科技大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2012
【分類(lèi)號(hào)】：TH113

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