本文選題：弧線齒圓柱齒輪 + 非對稱設(shè)計　； 參考：《長安大學(xué)》2017年碩士論文

【摘要】：弧線齒圓柱齒輪是近年來頗具發(fā)展?jié)摿Φ囊环N新型齒線齒輪�；【�齒圓柱齒輪是一種點接觸圓柱齒輪,其齒線為圓弧齒線,在其齒寬的中截面上保留了標(biāo)準(zhǔn)漸開線齒形,其他處為準(zhǔn)漸開線。該齒輪與常見的圓柱齒輪相比具有很多優(yōu)點,如彎曲和接觸疲勞強(qiáng)度高、對安裝和加工誤差不敏感等等,作為一種高速重載齒輪,應(yīng)用前景非常廣闊,具有很重要的研究價值。另一方面,雙壓力角非對稱齒輪在提高齒輪的承載能力上有獨特優(yōu)勢。因此,本文在弧線齒圓柱齒輪基礎(chǔ)上加入非對稱設(shè)計,從加工原理、數(shù)學(xué)建模,到有限元應(yīng)力計算等技術(shù)問題展開了深入的研究。介紹不同加工方法的原理,根據(jù)齒輪嚙合原理和微分幾何理論,建立了非對稱弧線齒圓柱齒輪的數(shù)學(xué)模型。采用了三種不同的齒根圓角形狀設(shè)計。實現(xiàn)了齒面數(shù)值仿真和齒面可視化。采用傳統(tǒng)TCA和Ease-off TCA方法對非對稱弧線齒圓柱齒輪副進(jìn)行齒面接觸分析。通過模擬仿真,證明了Ease-off TCA方法是正確可行的。建立了考慮安裝誤差的TCA模型,計算了非對稱弧線齒圓柱齒輪在不同安裝誤差下的嚙合軌跡及接觸印痕。提出了非對稱弧線齒圓柱齒輪的齒面修形技術(shù),通過改變刀具的法向齒廓形狀進(jìn)行拋物線及高階曲線修形。接觸仿真結(jié)果表明,對非對稱弧線齒圓柱齒輪齒面修形,可以改善齒輪副的嚙合特性。利用有限元方法,對所設(shè)計齒輪進(jìn)行了齒根彎曲應(yīng)力和齒面接觸應(yīng)力計算。結(jié)果表明,非對稱弧線齒圓柱齒輪的彎曲強(qiáng)度和接觸強(qiáng)度均比對稱弧線齒圓柱齒輪的有所提高。
[Abstract]:Arc-tooth cylindrical gear is a new type of tooth-line gear with great potential in recent years. Arc tooth cylindrical gear is a kind of point contact cylindrical gear, its tooth line is circular arc tooth line, the standard involute tooth shape is retained on the middle section of its tooth width, and other places are quasi-involute. Compared with common cylindrical gears, this gear has many advantages, such as high bending and contact fatigue strength, insensitive to installation and machining errors, and so on. As a kind of high speed and heavy load gear, it has a very broad application prospect and has very important research value. On the other hand, asymmetric gear with double pressure angle has a unique advantage in improving the bearing capacity of gear. Therefore, in this paper, asymmetrical design is added to the arc cylindrical gear, from machining principle, mathematical modeling, to finite element stress calculation and other technical problems are deeply studied. Based on the principle of gear meshing and differential geometry, the mathematical model of asymmetrical arc tooth cylindrical gear is established. Three kinds of tooth root fillet design are adopted. The numerical simulation of tooth surface and the visualization of tooth surface are realized. Traditional TCA and Ease-off TCA methods are used to analyze the tooth surface contact of asymmetric curved cylindrical gear pairs. The simulation results show that the Ease-off TCA method is correct and feasible. A TCA model considering installation error is established and the meshing track and contact mark of asymmetric arc gear are calculated under different installation errors. In this paper, the tooth surface modification technology of unsymmetrical arc tooth cylindrical gear is presented. The parabola and higher order curve are modified by changing the normal profile of the cutter. The contact simulation results show that the meshing characteristics of the gear pair can be improved by modifying the tooth surface of the asymmetrical arc tooth cylindrical gear. The tooth root bending stress and tooth surface contact stress are calculated by finite element method. The results show that the bending strength and contact strength of asymmetric arc tooth cylindrical gear are higher than that of symmetrical arc tooth cylindrical gear.
【學(xué)位授予單位】：長安大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：TH132.41

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