限位器氣囊旋轉機械系統(tǒng)非線性動力學研究

1、 論文題目：限位器-氣囊-旋轉機械系統(tǒng)非線性動力學研究 專 業(yè)：工程力學 碩 士 生：劉淵博 （簽名） 指導教師：李 明 （簽名） 摘 要 氣囊隔振系統(tǒng)被廣泛應用于艦船或潛艇上大型旋轉機械的振動控制。然而，艦艇在航行時，有時會承受過大的外載荷，從而引起氣囊隔振系統(tǒng)產生較

2、大的變形，為此，采用含有限位器的氣囊隔振器來控制系統(tǒng)動態(tài)響應。當氣囊出現(xiàn)過大變形與限位器發(fā)生接觸時，系統(tǒng)將會呈現(xiàn)出一些獨特的非線性動力學現(xiàn)象。本文即針對這一問題，基于分析力學和非線性動力學的相關理論， 采用理論建模與數(shù)值分析， 研究氣囊-旋轉機械、 限位器-氣囊-旋轉機械和具有雙邊限位器-氣囊-旋轉機械系統(tǒng)的動力學特性，重點分析各參數(shù)變化對限位器-氣囊-旋轉機械系統(tǒng)非線性動力學行為的影響。主要內容有： 1. 基于 Lagrange 方程

3、建立了一個具有旋轉機械的氣囊隔振系統(tǒng)的非線性動力學模型，采用數(shù)值計算的方法重點分析了該系統(tǒng)的非線性動力學行為以及參數(shù)變化對系統(tǒng)動力學特性的影響。 結果顯示在低轉速時， 系統(tǒng)呈現(xiàn)出準周期運動特性； 隨著轉速的增大，系統(tǒng)運動中出現(xiàn)混沌、周期 3、5、7 及準周期運動等一系列的非線性動力學現(xiàn)象。此外，系統(tǒng)的質量比、間隙比等參數(shù)的變化也會使系統(tǒng)的振動變得復雜，將會出現(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-旋轉機械系統(tǒng)的非線

4、性動力學模型， 分析了耦合系統(tǒng)的非線性動力學特性。重點討論了系統(tǒng)轉速和間隙比等參數(shù)對限位器-氣囊-旋轉機械系統(tǒng)動力學特性的影響。結果表明：在較低轉速下，系統(tǒng)的振幅相對較小，運動趨于穩(wěn)定；而當轉速增大到，系統(tǒng)的振動出現(xiàn)了類似于線性共振的特點；在較高轉速時，系統(tǒng)的振幅有所減小，但運動呈現(xiàn)出混沌特征。 3. 建立了具有雙邊限位器-氣囊-旋轉機械系統(tǒng)的非線性動力學模型， 研究了具有雙邊限位器-氣囊-旋轉機械耦合系統(tǒng)的非線性動力學行為。采用數(shù)值分

5、析方法，探討了由于雙邊限位器對系統(tǒng)非線性動力學特性的影響。重點分析了系統(tǒng)隨轉速變化引起的的分岔和混沌特性，結果表明系統(tǒng)在運行過程中存在周期運動、準周期運動和混沌運動等非線性現(xiàn)象。 關 鍵 詞：限位器-氣囊-旋轉機械系統(tǒng)；限位器；線性分段；混沌；分岔；穩(wěn)定性 研究類型：應用基礎研究 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