本文選題：軸向移動繩 + 橫向振動能量　； 參考：《合肥工業(yè)大學(xué)》2017年碩士論文

【摘要】：軸向移動繩系統(tǒng)是機械傳動重要形式之一,具有運行效率高、運動路線布置靈活的優(yōu)點。然而移動繩系統(tǒng)彎曲剛度小,表現(xiàn)柔性結(jié)構(gòu)特征,系統(tǒng)在受到外界激勵時很容易產(chǎn)生橫向振動,嚴(yán)重影響系統(tǒng)的平穩(wěn)性和精確性,限制了移動繩系統(tǒng)的應(yīng)用。因此,研究軸向移動繩系統(tǒng)橫向振動特性是對其有效控制的前提。本文主要研究了軸向移動繩系統(tǒng)橫向振動能量的計算分析以及非線性動力學(xué)。本文以軸向移動繩系統(tǒng)為研究對象,首先對軸向移動繩系統(tǒng)進行了簡化,建立了移動繩自由振動的力學(xué)模型�；谟邢拊▽⒖臻g上的繩長離散為長度相同的有限單元,實現(xiàn)移動繩橫向振動問題轉(zhuǎn)化為有限單元的橫向振動問題。其次,對定長度軸向移動繩橫向振動能量表達式適當(dāng)化簡,得到了移動繩橫向振動能量的一般表達式,從理論上和數(shù)值仿真上證明了定長度軸向移動繩橫向振動能量呈周期性變化的規(guī)律。接著,基于工程應(yīng)用實例,建立了具有Kelvin模型的粘彈性軸向移動繩系統(tǒng)橫向非線性振動方程,應(yīng)用Galerkin離散法和改進的四階Runge-Kutta法得到非線性方程的數(shù)值解。分別研究了粘彈性移動繩橫向非線性振動以及系統(tǒng)出現(xiàn)的非線性動力學(xué)現(xiàn)象。最后,從實驗角度研究軸向運動帶的橫向振動,證明了軸向運動帶系統(tǒng)存在豐富的周期運動、倍周期運動、混沌運動和拍頻現(xiàn)象,為軸向運動帶橫向非線性振動理論研究提供實驗參考依據(jù)。
[Abstract]:The axial moving rope system is one of the important forms of mechanical transmission, which has the advantages of high running efficiency and flexible movement route arrangement. However, the bending stiffness of the mobile rope system is small, which shows the characteristics of flexible structure. It is easy to produce lateral vibration when the system is subjected to external excitation, which seriously affects the stability and accuracy of the system, which limits the application of the mobile rope system. Therefore, the study of lateral vibration characteristics of axial moving rope system is the premise of its effective control. In this paper, the calculation and analysis of transverse vibration energy and nonlinear dynamics of the axial moving rope system are studied. In this paper, the axial moving rope system is taken as the research object. Firstly, the axial moving rope system is simplified, and the mechanical model of the free vibration of the moving rope is established. Based on the finite element method, the length of the rope in space is discretized into a finite element of the same length, and the lateral vibration problem of the moving rope is transformed into the transverse vibration problem of the finite element. Secondly, the general expression of lateral vibration energy of moving rope is obtained by properly simplifying the expression of lateral vibration energy of moving rope with fixed length. It is proved theoretically and numerically that the lateral vibration energy of the fixed length axial moving rope varies periodically. Then, based on an engineering application example, the transverse nonlinear vibration equation of viscoelastic axial moving rope system with Kelvin model is established. The numerical solution of the nonlinear equation is obtained by using the Galerkin discrete method and the improved fourth-order Runge-Kutta method. The transverse nonlinear vibration of viscoelastic moving rope and the nonlinear dynamic phenomena of the system are studied respectively. Finally, the transverse vibration of the axial motion band is studied from the experimental point of view. It is proved that there are abundant periodic motion, periodic motion, chaotic motion and beat frequency phenomena in the axial motion band system. The experimental reference is provided for the theoretical study of lateral nonlinear vibration of axial moving band.
【學(xué)位授予單位】：合肥工業(yè)大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：TH132

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本文編號：1799867