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

【摘要】：軸向移動(dòng)繩系統(tǒng)是機(jī)械傳動(dòng)重要形式之一,具有運(yùn)行效率高、運(yùn)動(dòng)路線布置靈活的優(yōu)點(diǎn)。然而移動(dòng)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(lì)時(shí)很容易產(chǎn)生橫向振動(dòng),嚴(yán)重影響系統(tǒng)的平穩(wěn)性和精確性,限制了移動(dòng)繩系統(tǒng)的應(yīng)用。因此,研究軸向移動(dòng)繩系統(tǒng)橫向振動(dòng)特性是對(duì)其有效控制的前提。本文主要研究了軸向移動(dòng)繩系統(tǒng)橫向振動(dòng)能量的計(jì)算分析以及非線性動(dòng)力學(xué)。本文以軸向移動(dòng)繩系統(tǒng)為研究對(duì)象,首先對(duì)軸向移動(dòng)繩系統(tǒng)進(jìn)行了簡(jiǎn)化,建立了移動(dòng)繩自由振動(dòng)的力學(xué)模型。基于有限元法將空間上的繩長(zhǎng)離散為長(zhǎng)度相同的有限單元,實(shí)現(xiàn)移動(dòng)繩橫向振動(dòng)問(wèn)題轉(zhuǎn)化為有限單元的橫向振動(dòng)問(wèn)題。其次,對(duì)定長(zhǎng)度軸向移動(dòng)繩橫向振動(dòng)能量表達(dá)式適當(dāng)化簡(jiǎn),得到了移動(dòng)繩橫向振動(dòng)能量的一般表達(dá)式,從理論上和數(shù)值仿真上證明了定長(zhǎng)度軸向移動(dòng)繩橫向振動(dòng)能量呈周期性變化的規(guī)律。接著,基于工程應(yīng)用實(shí)例,建立了具有Kelvin模型的粘彈性軸向移動(dòng)繩系統(tǒng)橫向非線性振動(dòng)方程,應(yīng)用Galerkin離散法和改進(jìn)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(dòng)繩橫向非線性振動(dòng)以及系統(tǒng)出現(xiàn)的非線性動(dòng)力學(xué)現(xiàn)象。最后,從實(shí)驗(yàn)角度研究軸向運(yùn)動(dòng)帶的橫向振動(dòng),證明了軸向運(yùn)動(dòng)帶系統(tǒng)存在豐富的周期運(yùn)動(dòng)、倍周期運(yùn)動(dòng)、混沌運(yùn)動(dòng)和拍頻現(xiàn)象,為軸向運(yùn)動(dòng)帶橫向非線性振動(dòng)理論研究提供實(shí)驗(yàn)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(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類(lèi)號(hào)】：TH132

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本文編號(hào)：1799867