發(fā)布時間：2018-09-01 13:18

【摘要】：齒輪傳動是機(jī)械傳動中最普遍的一種傳動機(jī)構(gòu),在實(shí)際工程中被廣泛應(yīng)用。齒輪在實(shí)際工作中主要用于傳遞運(yùn)動和動力,由于承受較大的變載荷作用,所以常常會出現(xiàn)彎曲疲勞甚至斷裂等情況。因此對齒輪傳動系統(tǒng)進(jìn)行動力學(xué)和斷裂力學(xué)的研究是非常有必要的。本文是以漸開線直齒圓柱齒輪為研究對象,通過對齒輪系統(tǒng)的動力學(xué)研究,運(yùn)用大型計算軟件MATLAB計算得出齒輪在傳動過程中發(fā)生在齒輪嚙合面上的載荷變化等情況；然后再利用ANSYS建立齒輪齒根裂紋的二維模型,利用動力學(xué)計算的結(jié)果分析輪齒的斷裂特性,對于預(yù)測齒輪剩余壽命具有顯著的工程價值。 在對含裂紋的齒輪傳動系統(tǒng)動力學(xué)的研究部分,將裂紋梁理論應(yīng)用于齒輪傳動的動力學(xué)分析之中,以最容易出現(xiàn)的齒根裂紋輪齒為研究對象,將齒輪輪齒看作是懸臂梁,建立了動力學(xué)模型,考慮沿嚙合線變化的嚙合時變剛度、固定阻尼系數(shù),利用數(shù)值解法先求解無裂紋齒輪振動系統(tǒng)運(yùn)動微分方程,從而得到一個嚙合周期內(nèi)的齒輪振動位移等響應(yīng)。然后對含裂紋齒輪的動力學(xué)問題進(jìn)行了計算機(jī)模擬,得出兩者的變化情況,從而為識別系統(tǒng)是否出現(xiàn)裂紋奠定了良好基礎(chǔ),對齒輪傳動系統(tǒng)的故障診斷有工程價值。 齒輪輪齒斷裂力學(xué)分析,是以動力學(xué)分析為基礎(chǔ),利用齒輪傳動系統(tǒng)動力學(xué)分析得到的齒面動載荷沿嚙合線的變化規(guī)律及齒輪的載荷作用角,使用大型計算仿真軟件ANSYS進(jìn)行有限元分析計算,利用APDL語言編程來分析和計算含裂紋輪齒的動態(tài)裂紋強(qiáng)度因子。 在解決齒輪動力學(xué)和斷裂力學(xué)耦合問題時,根據(jù)所提出的耦合研究方法,先計算出不同裂紋深度下的齒輪傳動系統(tǒng)的動力學(xué)響應(yīng),然后利用同一裂紋深度下的動力學(xué)的計算結(jié)果分析對應(yīng)的裂紋深度的裂紋尖端應(yīng)力強(qiáng)度因子,從而得出不同的動力學(xué)結(jié)果對應(yīng)的斷裂力學(xué)結(jié)果的變化規(guī)律。最后根據(jù)Paris公式,利用計算出的結(jié)果,進(jìn)一步分析計算了裂紋擴(kuò)展的剩余壽命。 本文利用對動力學(xué)模型仿真計算出的動態(tài)載荷加載到輪齒齒面嚙合線上計算裂紋的斷裂特性,得出的結(jié)果更加準(zhǔn)確,對含裂紋齒輪傳動系統(tǒng)的故障診斷及維護(hù)具有一定的工程意義。
[Abstract]:Gear transmission is the most common transmission mechanism in mechanical transmission, which is widely used in practical engineering. Gears are mainly used to transfer motion and force in practical work. Due to the large variable load, bending fatigue and even fracture often occur. Therefore, it is necessary to study the dynamics and fracture mechanics of gear transmission system. In this paper, the involute spur gear is taken as the research object. Through the dynamics research of gear system, the load change on the meshing surface of gear occurred in the course of transmission is calculated by using the large calculation software MATLAB. Then the two-dimensional model of tooth root crack is established by ANSYS, and the fracture characteristic of gear tooth is analyzed by the result of dynamic calculation, which is of great engineering value for predicting the remaining life of gear. In the part of the research on the dynamics of the gear transmission system with cracks, the theory of cracked beam is applied to the dynamic analysis of the gear transmission. The research object is the cracked tooth of the tooth root, and the gear tooth is regarded as a cantilever beam. In this paper, a dynamic model is established, considering the time-varying stiffness and fixed damping coefficient of meshing along the meshing line, the differential equations of motion of cracked gear vibration system are first solved by numerical solution. Thus, the vibration displacement and other responses of gears in a meshing period are obtained. Then the dynamic problem of gear with crack is simulated by computer, and the change of both is obtained, which lays a good foundation for the identification of crack or not, and has engineering value for the fault diagnosis of gear transmission system. The fracture mechanics analysis of gear teeth is based on the dynamic analysis, which is based on the dynamic analysis of the gear transmission system. The dynamic load along the meshing line and the load action angle of the gear are obtained from the dynamic analysis of the gear transmission system. The finite element analysis and calculation are carried out by using the large-scale computer simulation software ANSYS, and the dynamic crack intensity factor of the cracked gear teeth is analyzed and calculated by APDL programming. In order to solve the coupling problem between gear dynamics and fracture mechanics, the dynamic response of gear transmission system with different crack depths is first calculated according to the proposed coupling research method. Then the stress intensity factor of crack tip corresponding to crack depth is analyzed by using the dynamic calculation results at the same crack depth, and the variation law of fracture mechanics results corresponding to different dynamic results is obtained. Finally, according to the Paris formula and the calculated results, the residual life of crack propagation is further analyzed and calculated. In this paper, the dynamic load calculated by the dynamic model is applied to the meshing line of the gear tooth surface to calculate the fracture characteristics of the crack, and the results are more accurate. It has certain engineering significance for fault diagnosis and maintenance of gear transmission system with cracks.
【學(xué)位授予單位】：安徽工程大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2012
【分類號】：TH132.41

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本文編號：2217319