本文選題：齒廓修形 + 圓弧蛻變曲線��； 參考：《太原理工大學》2011年碩士論文

【摘要】：漸開線圓柱齒輪由于其傳動比恒定不變、傳動平穩(wěn)而被廣泛應用在機械傳動中,然而在齒輪副嚙合時,因受載變形、熱變形和制造安裝誤差等因素影響,不可避免地會出現(xiàn)載荷突變、速度波動、嚙入、嚙出沖擊。大量的理論和實踐已表明：對漸開線直齒輪的齒廓修形能明顯地減小齒輪在嚙合過程中發(fā)生齒面膠合和沖擊現(xiàn)象,減小振動和降低噪音,更好地適應齒輪傳動技術向高承載、高速度、低噪音的方向發(fā)展的潮流。然而在以往對漸開線齒輪進行修形過程中,大多數(shù)學者采用的是“修頂挖根”的修形技術,即只對漸開線的一部分做出修整,修形時同時要確定出修形的起點、終點、修形量以及修形曲線等,可以看出,需要控制的因素比較多,這樣就給實際加工帶來麻煩,難于達到精度要求。且修形齒輪嚙合時容易在修形的起點、終點位置處產(chǎn)生新的沖擊。 針對齒輪傳統(tǒng)修形在加工方面存在的不足,本文在研究大量曲線的特性后發(fā)現(xiàn),圓弧蛻變曲線與齒輪的漸開線有一定的相似性,更重要的是圓弧蛻變曲線具有易加工的特點,而且國內(nèi)外還沒有人嘗試用此種曲線對齒輪進行修形設計。鑒于此,本文嘗試用圓弧蛻變曲線逼近漸開線來對齒輪進行磨削修形,力求探索出一種更適合工程實際的齒輪修形方法。 本論文的主要內(nèi)容如下： 1.利用ANSYS的APDL編程語言,完成了標準齒輪的有限元模型的建立、加載和求解等。整個過程通過APDL語言自動生成�？梢苑奖銓δＰ秃洼d荷工況進行修改。這不僅僅提高了分析求解的效率,而且也使得整個分析過程都在ANSYS軟件中進行,避免了三方軟件的介入。 2.利用ANSYS/LS-DYNA顯式動力學軟件對標準漸開線直齒輪進行動力學仿真。分析出了標準齒輪在整個嚙合過程中的接觸應力的變化和分布情況；指出了齒輪接觸應力沿齒廓方向的分布規(guī)律；依據(jù)不同轉(zhuǎn)速下齒輪接觸應力的變化規(guī)律,指出對高速齒輪進行齒廓修形的必要性；最后對齒輪傳動中主、被動輪的速度波動規(guī)律進行了探討研究。結(jié)果表明：利用ANSYS/LS-DYNA可以最大程度地實時模擬出齒輪動態(tài)嚙合過程,反映出齒輪的動態(tài)嚙合特性,結(jié)果更為準確可靠。 3.詳細介紹了用圓弧蛻變曲線對齒輪進行齒廓修形的整個過程。并對修形后的齒輪進行動力學仿真分析,通過對比修形齒輪和標準齒輪的接觸應力分布情況以及主、被動齒輪的速度波動規(guī)律,得出了利用圓弧蛻變曲線對齒輪進行齒廓修形可以改善齒輪傳動性能的結(jié)論。 4.為了得到修形后齒輪副的振型規(guī)律,分別用耦合節(jié)點法和接觸對法對修形齒輪副進行了模態(tài)分析。提取并分析了齒輪副的前18階固有頻率及振型。最后分析了齒寬對齒輪的固有頻率的影響。
[Abstract]:Involute cylindrical gear is widely used in mechanical transmission because of its constant transmission ratio and stable transmission. However, when gear pair meshes, it is affected by load deformation, thermal deformation and manufacturing installation error, etc. There will inevitably be sudden changes in load, fluctuation in speed, entry and impact. A large number of theories and practices have shown that the tooth profile modification of involute spur gears can obviously reduce the phenomenon of gear surface gluing and impact, reduce vibration and noise, and better adapt to the higher load of gear transmission technology. High speed, low noise trend in the direction of development. However, in the past, in the process of modifying involute gears, most scholars used the "topping and digging root" modification technique, that is, only a part of the involute was trimmed, and the starting point and the end point of the modification should be determined. It can be seen that there are many factors that need to be controlled so that it will bring trouble to the actual processing and make it difficult to meet the precision requirements. And the modified gear meshing easily in the shape of the starting point, the end point of a new impact. In view of the shortcomings of the traditional gear profile modification in machining, after studying the characteristics of a large number of curves, it is found that the arc degenerative curve is similar to the involute of the gear, and more importantly, the arc degenerate curve has the characteristics of easy machining. And no one at home and abroad has tried to use this curve to modify the shape of the gear design. In view of this, this paper attempts to use arc degenerate curve to approximate involute to grinding gear profile, and try to find a more suitable method for gear modification. The main contents of this thesis are as follows: 1. The finite element model of standard gear is established, loaded and solved by using APDL programming language of ANSYS. The whole process is generated automatically by APDL language. It is convenient to modify the model and load condition. This not only improves the efficiency of analysis and solution, but also makes the whole analysis process in ANSYS software, avoiding the intervention of three software. 2. 2. The dynamic simulation of standard involute spur gear is carried out by ANSYS- LS-DYNA explicit dynamics software. The change and distribution of contact stress in the whole meshing process of standard gear are analyzed, and the distribution of contact stress along tooth profile is pointed out. The necessity of tooth profile modification for high speed gear is pointed out, and the law of velocity fluctuation of active and passive gears in gear transmission is discussed. The results show that the dynamic meshing process of gears can be simulated by ANSYS- LS-DYNA in real time, which reflects the dynamic meshing characteristics of gears, and the results are more accurate and reliable. This paper introduces the whole process of gear profile modification with arc degenerate curve in detail. The dynamic simulation analysis of the modified gear is carried out. By comparing the distribution of contact stress between the modified gear and the standard gear and the velocity fluctuation law of the active and passive gears, It is concluded that the gear profile modification with arc degenerate curve can improve the transmission performance of gear. 4. In order to obtain the vibration pattern of the modified gear pair, the modal analysis of the modified gear pair is carried out by the coupling node method and the contact method respectively. The first 18 natural frequencies and modes of gear pairs are extracted and analyzed. Finally, the influence of tooth width on the natural frequency of gear is analyzed.
【學位授予單位】：太原理工大學
【學位級別】：碩士
【學位授予年份】：2011
【分類號】：TH132.41

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本文編號：2025506