本文選題：齒輪系統(tǒng)　切入點(diǎn)：多參數(shù)　出處：《蘭州交通大學(xué)》2017年碩士論文

【摘要】：螺旋錐齒輪和斜齒輪,因?yàn)閲Ш现睾隙却?承載能力強(qiáng),使齒輪傳動(dòng)過程趨于平穩(wěn),所以是一種廣泛的工業(yè)機(jī)械設(shè)備動(dòng)力傳動(dòng)裝置。其力學(xué)性能和工作狀態(tài)直接影響著整個(gè)機(jī)械設(shè)備的正常運(yùn)行。由于齒輪系統(tǒng)中有很多非線性因素的存在,導(dǎo)致了齒輪系統(tǒng)具有復(fù)雜的非線性振動(dòng)特性,這也是齒輪系統(tǒng)運(yùn)行過程中出現(xiàn)振動(dòng)噪聲的主要原因。本文以二級(jí)錐—斜齒輪系統(tǒng)為研究對(duì)象,綜合考慮影響齒輪系統(tǒng)的各種非線性因素,建立了系統(tǒng)的實(shí)際模型及力學(xué)模型,并得到系統(tǒng)的動(dòng)力學(xué)微分方程,之后采用C語言編程,采用四階Runge-Kutta進(jìn)行數(shù)值模擬仿真。得到了系統(tǒng)在單參數(shù)下的分岔圖,相圖,龐加萊映射圖,最大動(dòng)載荷圖及沖擊狀態(tài)圖,在系統(tǒng)參數(shù)ka1,km1,ζ1,em,ζ11,k11,,b,T1分別與激勵(lì)頻率ω1共同作用下繪制了系統(tǒng)的沖擊周期平面雙參圖,三維分岔圖及動(dòng)載荷平面分布圖,占空比分布圖,通過分析對(duì)比這些圖,得到系統(tǒng)參數(shù)對(duì)齒輪系統(tǒng)運(yùn)行穩(wěn)定性的影響規(guī)律,得到最優(yōu)的參數(shù)區(qū)間。研究分析表明,系統(tǒng)在低頻下,系統(tǒng)處于無沖擊完全嚙合穩(wěn)定運(yùn)行狀態(tài),各系統(tǒng)參數(shù)的變化對(duì)系統(tǒng)運(yùn)行狀態(tài)影響很小,當(dāng)激勵(lì)頻率達(dá)到一定值后,系統(tǒng)參數(shù)變化對(duì)系統(tǒng)影響顯著。各參數(shù)對(duì)系統(tǒng)的影響規(guī)律可大致總結(jié)為.:適當(dāng)?shù)脑黾酉到y(tǒng)的剛度幅值ka1,輸入載荷T1,支撐阻尼系數(shù)ζ11,支承剛度k11,減小平均嚙合剛度km1,綜合嚙合誤差em,都會(huì)使得系統(tǒng)在概周期或混沌狀態(tài)停留區(qū)域減小從而擴(kuò)大了系統(tǒng)的穩(wěn)定區(qū)域,系統(tǒng)的運(yùn)動(dòng)規(guī)律變得簡(jiǎn)單,系統(tǒng)更容易進(jìn)入周期運(yùn)動(dòng),系統(tǒng)的沖擊振動(dòng)特性得到顯著減弱。系統(tǒng)嚙合阻尼系數(shù)ζ1和齒側(cè)間隙b較小時(shí),在一定的頻率ω1,的范圍內(nèi),系統(tǒng)齒輪副1嚙合過程出現(xiàn)了齒面沖擊和齒背沖擊現(xiàn)象,系統(tǒng)可能會(huì)發(fā)生嚙合打齒,斷齒的情況,隨著ζ1,b這兩個(gè)參數(shù)在適當(dāng)?shù)姆秶鷥?nèi)變大,齒輪副由雙邊沖擊過渡到單邊沖擊或無沖擊狀態(tài),脫嚙現(xiàn)象得到明顯改善,這有利于系統(tǒng)齒輪傳動(dòng)的準(zhǔn)確性,提高齒輪系統(tǒng)的傳動(dòng)壽命。通過研究齒輪系統(tǒng)的動(dòng)態(tài)特性,分析系統(tǒng)各非線性參數(shù),得到參數(shù)的最優(yōu)區(qū)間,從而減緩、抑制齒輪系統(tǒng)的分岔和混沌。
[Abstract]:Spiral bevel gear and helical gear, because of the high degree of meshing coincidence and strong bearing capacity, the gear transmission process tends to smooth, Therefore, it is a kind of widely used power transmission device of industrial machinery. Its mechanical properties and working state directly affect the normal operation of the whole mechanical equipment. Because of the existence of many nonlinear factors in the gear system, The gear system has complex nonlinear vibration characteristics, which is the main reason for the vibration and noise in the gear system. In this paper, the two-stage bevel helical gear system is taken as the research object. Considering all kinds of nonlinear factors affecting gear system synthetically, the practical model and mechanical model of the system are established, and the dynamic differential equation of the system is obtained. The bifurcation diagram, phase diagram, Poincare map, maximum dynamic load diagram and impact state diagram of the system under a single parameter are obtained by using fourth-order Runge-Kutta. Under the action of the system parameters ka1km1, 味 1m1, 味 11k11k11 / 1 and excitation frequency 蠅 1 respectively, the biparametric map of the impact period plane, the 3D bifurcation diagram, the dynamic load plane distribution diagram and the duty cycle distribution diagram are drawn, and these diagrams are analyzed and compared. The influence of system parameters on the running stability of gear system is obtained, and the optimal parameter interval is obtained. The research and analysis show that the system is in the condition of complete meshing and stable operation without impact at low frequency. The variation of system parameters has little effect on the operating state of the system. When the excitation frequency reaches a certain value, The effect of system parameters on the system can be summarized as follows: appropriate increase of stiffness amplitude ka 1, input load T 1, support damping coefficient 味 11, support stiffness k 11, and decrease average meshing stiffness, which can be summarized as follows: (1) increase the stiffness amplitude of the system (ka 1), input load (T 1), support damping coefficient (味 11), support stiffness (k 11). KM1, which synthesizes the meshing error eme, makes the system stay in the almost periodic or chaotic state, thus enlarging the stable region of the system. The motion law of the system becomes simple, the system moves more easily into the periodic motion, and the shock vibration characteristic of the system is obviously weakened. The meshing damping coefficient 味 1 and the tooth side clearance b are smaller, and within a certain frequency 蠅 1, the vibration characteristics of the system are greatly weakened. The tooth surface impact and tooth back impact appear in the meshing process of the gear pair 1 of the system, and the teeth may be meshed and broken in the system, with the increase of the parameters 味 1b in a proper range. The gear pair transition from the bilateral impact to the one-sided impact or the non-impact state, the phenomenon of degnaving is obviously improved, which is beneficial to the accuracy of the gear transmission and the increase of the transmission life of the gear system. Through the study of the dynamic characteristics of the gear system, By analyzing the nonlinear parameters of the system, the optimal interval of the parameters is obtained, so as to slow down and suppress the bifurcation and chaos of the gear system.
【學(xué)位授予單位】：蘭州交通大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：TH132.41

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