【摘要】：摘要：本文運用齒輪嚙合原理和數(shù)值模擬方法對漸開線直齒輪的修形展開研究與分析。目的是探索最理想的齒輪修形效果,從而提高齒輪傳動時的承載能力、降低振動和噪音。 首先推導(dǎo)出直齒輪的齒廓修形和齒向修形的曲線方程,運用Pro/E軟件建立了漸開線直齒輪和修形齒輪的精確參數(shù)化模型。運用此模型,只需要輸入齒輪的主要參數(shù)和修形參數(shù)便可以生成標(biāo)準(zhǔn)的齒輪模型,提高了修形齒輪的建模效率。 其次,借助ANSYS Workbench,將Pro/E齒輪模型導(dǎo)入有限元軟件中進行修形齒輪的接觸力學(xué)數(shù)值實驗。設(shè)定符合實際工況的邊界條件和約束載荷,對齒輪進行瞬態(tài)動力學(xué)分析,研究齒輪嚙合過程中的齒面接觸應(yīng)力變化情況。并運用赫茲公式進行理論分析,比較數(shù)值實驗和理論分析兩者的差異,從而推斷數(shù)值實驗的合理性。通過數(shù)值分析得到了齒輪嚙合過程的一些基本規(guī)律,為齒輪修形奠定了理論基礎(chǔ)。 本文分析比較了常用的齒輪修形方法,運用有限元對齒廓修形齒輪進行數(shù)值模擬。仿真結(jié)果表明Walker修形曲線較直線修形曲線具有更好的修形效果：同時得出了不同修形量對齒廓修形齒輪影響的規(guī)律。 通過數(shù)值實驗分析發(fā)現(xiàn),軸承間的非對稱裝配會導(dǎo)致齒輪齒向載荷發(fā)生偏載,而現(xiàn)有的鼓形修形不能達(dá)到較好的修形效果。于是提出采用二次曲線和三次曲線來進行齒向修形,通過對三種曲線的數(shù)值實驗分析,結(jié)果表明兩種新曲線較鼓形曲線都有明顯的改善,其中三次曲線的修形效果最好。 采用Matlab編寫了修形計算程序,此程序能夠快速計算出齒輪修形的最大修形量,大大提高了設(shè)計效率。
[Abstract]:Abstract: in this paper, the gear meshing principle and numerical simulation method are used to study and analyze the modification of involute spur gear. The aim of this paper is to explore the ideal gear shape modification effect so as to improve the bearing capacity of gear transmission and reduce vibration and noise. First, the curve equations of tooth profile modification and tooth modification of spur gears are derived, and the precise parameterized models of involute spur gears and modified gears are established by using Pro/E software. By using this model, the standard gear model can be generated only by inputting the main parameters and modification parameters of the gear, and the modeling efficiency of the modified gear can be improved. Secondly, the Pro/E gear model is introduced into the finite element software with ANSYS Workbench, to carry out the contact mechanics numerical experiment of the modified gear. The transient dynamic analysis of gear was carried out by setting the boundary conditions and constraining loads in accordance with the actual working conditions, and the change of tooth surface contact stress during gear meshing was studied. The difference between the numerical experiment and the theoretical analysis is compared with the Hertz formula, and the rationality of the numerical experiment is inferred. Some basic laws of gear meshing process are obtained by numerical analysis, which lays a theoretical foundation for gear shape modification. In this paper, the common gear modification methods are analyzed and compared, and the finite element method is used to simulate the gear profile modification. The simulation results show that the Walker profile correction curve has better modification effect than the straight line profile modification curve. At the same time, the law of the influence of different modification quantities on the profile modified gear is obtained. It is found by numerical experiments that the asymmetric assembly between bearings will lead to the bias load of gear teeth, but the existing drum modification can not achieve a better shape modification effect. Therefore, the conic curve and the cubic curve are proposed to modify the tooth profile. Through the numerical experiment analysis of the three curves, the results show that the two new curves are obviously improved compared with the drum curve, among which the cubic curve has the best shape modification effect. In this paper, Matlab is used to program the modification calculation program, which can quickly calculate the maximum modification of gear profile, and greatly improve the design efficiency.
【學(xué)位授予單位】：北京交通大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2014
【分類號】：TG61;TH132.417

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