限位器氣囊旋轉(zhuǎn)機(jī)械系統(tǒng)非線性動(dòng)力學(xué)研究

1、 論文題目：限位器-氣囊-旋轉(zhuǎn)機(jī)械系統(tǒng)非線性動(dòng)力學(xué)研究 專(zhuān) 業(yè)：工程力學(xué) 碩 士 生：劉淵博 （簽名） 指導(dǎo)教師：李 明 （簽名） 摘 要 氣囊隔振系統(tǒng)被廣泛應(yīng)用于艦船或潛艇上大型旋轉(zhuǎn)機(jī)械的振動(dòng)控制。然而，艦艇在航行時(shí)，有時(shí)會(huì)承受過(guò)大的外載荷，從而引起氣囊隔振系統(tǒng)產(chǎn)生較

2、大的變形，為此，采用含有限位器的氣囊隔振器來(lái)控制系統(tǒng)動(dòng)態(tài)響應(yīng)。當(dāng)氣囊出現(xiàn)過(guò)大變形與限位器發(fā)生接觸時(shí)，系統(tǒng)將會(huì)呈現(xiàn)出一些獨(dú)特的非線性動(dòng)力學(xué)現(xiàn)象。本文即針對(duì)這一問(wèn)題，基于分析力學(xué)和非線性動(dòng)力學(xué)的相關(guān)理論， 采用理論建模與數(shù)值分析， 研究氣囊-旋轉(zhuǎn)機(jī)械、 限位器-氣囊-旋轉(zhuǎn)機(jī)械和具有雙邊限位器-氣囊-旋轉(zhuǎn)機(jī)械系統(tǒng)的動(dòng)力學(xué)特性，重點(diǎn)分析各參數(shù)變化對(duì)限位器-氣囊-旋轉(zhuǎn)機(jī)械系統(tǒng)非線性動(dòng)力學(xué)行為的影響。主要內(nèi)容有： 1. 基于 Lagrange 方程

3、建立了一個(gè)具有旋轉(zhuǎn)機(jī)械的氣囊隔振系統(tǒng)的非線性動(dòng)力學(xué)模型，采用數(shù)值計(jì)算的方法重點(diǎn)分析了該系統(tǒng)的非線性動(dòng)力學(xué)行為以及參數(shù)變化對(duì)系統(tǒng)動(dòng)力學(xué)特性的影響。 結(jié)果顯示在低轉(zhuǎn)速時(shí)， 系統(tǒng)呈現(xiàn)出準(zhǔn)周期運(yùn)動(dòng)特性； 隨著轉(zhuǎn)速的增大，系統(tǒng)運(yùn)動(dòng)中出現(xiàn)混沌、周期 3、5、7 及準(zhǔn)周期運(yùn)動(dòng)等一系列的非線性動(dòng)力學(xué)現(xiàn)象。此外，系統(tǒng)的質(zhì)量比、間隙比等參數(shù)的變化也會(huì)使系統(tǒng)的振動(dòng)變得復(fù)雜，將會(huì)出現(xiàn)分岔、跳躍以及混沌等非線性現(xiàn)象。 2. 建立了限位器-氣囊-旋轉(zhuǎn)機(jī)械系統(tǒng)的非線

4、性動(dòng)力學(xué)模型， 分析了耦合系統(tǒng)的非線性動(dòng)力學(xué)特性。重點(diǎn)討論了系統(tǒng)轉(zhuǎn)速和間隙比等參數(shù)對(duì)限位器-氣囊-旋轉(zhuǎn)機(jī)械系統(tǒng)動(dòng)力學(xué)特性的影響。結(jié)果表明：在較低轉(zhuǎn)速下，系統(tǒng)的振幅相對(duì)較小，運(yùn)動(dòng)趨于穩(wěn)定；而當(dāng)轉(zhuǎn)速增大到，系統(tǒng)的振動(dòng)出現(xiàn)了類(lèi)似于線性共振的特點(diǎn)；在較高轉(zhuǎn)速時(shí)，系統(tǒng)的振幅有所減小，但運(yùn)動(dòng)呈現(xiàn)出混沌特征。 3. 建立了具有雙邊限位器-氣囊-旋轉(zhuǎn)機(jī)械系統(tǒng)的非線性動(dòng)力學(xué)模型， 研究了具有雙邊限位器-氣囊-旋轉(zhuǎn)機(jī)械耦合系統(tǒng)的非線性動(dòng)力學(xué)行為。采用數(shù)值分

5、析方法，探討了由于雙邊限位器對(duì)系統(tǒng)非線性動(dòng)力學(xué)特性的影響。重點(diǎn)分析了系統(tǒng)隨轉(zhuǎn)速變化引起的的分岔和混沌特性，結(jié)果表明系統(tǒng)在運(yùn)行過(guò)程中存在周期運(yùn)動(dòng)、準(zhǔn)周期運(yùn)動(dòng)和混沌運(yùn)動(dòng)等非線性現(xiàn)象。 關(guān) 鍵 詞：限位器-氣囊-旋轉(zhuǎn)機(jī)械系統(tǒng)；限位器；線性分段；混沌；分岔；穩(wěn)定性 研究類(lèi)型：應(yīng)用基礎(chǔ)研究 Subject : Study On Nonlinear Dynamics of Limiter-Airbag-Rotating Machinery Sys

6、tem Specialty : Engineering Mechanics Name : Liu Yuanbo (Signature) Instructor : Li Ming (Signature) ABSTRACT The air-bag vibration isolation system is commonly carried out for suppre

7、ssing the vibration of rotating machinery of a surface ship or submarine. However, when the ship is moving, it may produce a large shock displacement, which may make the air-bag have a greater deformation. In order to av

8、oid this situation, usually an air-bag vibration isolation system with an elastic constraint is introduced. The air-bag contact with the stopper due to the large deformation and then some nonlinear dynamic phenomenon are

9、 presented. Therefore in the proposed study is carried out based on the theory of analytical mechanics and nonlinear dynamics, which is involved in the dynamics analysis of airbag-rotating machinery system, limiter-airba

10、g-rotating machinery system and airbag-rotating machinery system with two sided limiters. Moreover, the parametric effects on dynamic characteristics are discussed, the research contents are summarized as follows: 1. The

11、 nonlinear dynamic model of the air-bag vibration isolation system for rotating machinery is established by the Lagrange’s equation. Numerical integration method is used to analyze the nonlinear vibration behavior of the

12、 system and the parametric effects on dynamic characteristics are also discussed. The results show that there exists a quasi periodic motion at low speeds, and with increasing the rotating speed, the responses present a

13、series of nonlinear phenomena such as periods 3,5,7, quasi periodic motion and the chaotic oscillations etc. Furthermore, some parameters such as mass ratio and clearance ratio of the system exert a significant influence

14、 on dynamics of system, which can cause a series of complex nonlinear characteristics, for example, bifurcation, jump phenomenon and chaotic motion. 2. Nonlinear dynamic model of limiter-airbag-rotating machinery system

15、is proposed, the nonlinear dynamic characteristic of the coupled system are analyzed. And the effect of the different rotate speed and clearance ratio of the system on the behavior of the limiter-airbag-rotating machiner