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  本文選題：漸開線　切入點：圓弧蛻變曲線　出處：《太原理工大學(xué)》2012年碩士論文

【摘要】：由于漸開線圓柱齒輪有著良好的傳遞性能、加工刀具簡單、工藝成熟等優(yōu)點,所以被廣泛應(yīng)用于機械傳動中。然而由于齒輪輪齒存在的彈性變形、熱變形和不可避免的制造、安裝誤差,會使?jié)u開線齒輪在嚙合過程中產(chǎn)生嚙入嚙出沖擊、振動和噪聲,若僅僅憑借提高加工和安裝精度來改善傳動性能,必會增加制造成本。大量的實踐和理論研究證明,對漸開線齒廓進行適當(dāng)?shù)男扌文軌蛴行У馗纳讫X輪運行性能,提高其承載能力。傳統(tǒng)上采用的“修頂挖根”法,在結(jié)合如修形量、修形曲線、修形高度、起點以及終點等諸多參數(shù)對齒輪進行修形之后,雖然也取得了一定的效果,但是修形的同時齒輪齒廓曲線的連續(xù)性也遭到了破壞,影響傳動的平穩(wěn)性。 圓弧蛻變曲線與漸開線在幾何形態(tài)上有著相似性,且具有易加工的特點。為了保證修形后齒廓曲線的連續(xù)性,減少嚙合振動的發(fā)生,本文結(jié)合圓弧蛻變曲線方程建立了一個簡單的逼近數(shù)學(xué)模型,來逼近理論修形后的漸開線,利用逼近后得出的曲線參數(shù)加工出圓弧蛻變曲線輪廓砂輪,用以磨削漸開線齒輪,以此希望得出更符合齒輪傳動要求的齒輪。 首先,講述了齒廓修形的相關(guān)理論原理,然后介紹了Pro/E軟件的功能和特點,并詳述了如何運用Pro/E建立精確標(biāo)準(zhǔn)的直齒圓柱齒輪,為以后的修形計算和有限元動態(tài)接觸分析做基礎(chǔ)。 其次,講述了傳統(tǒng)的齒輪齒廓修形方法,結(jié)合相應(yīng)的理論采用拋物線對漸開線齒廓進行了簡單地修形,為后面介紹的新的修形方法提供計算依據(jù)。然后詳細(xì)介紹了圓弧蛻變曲線的成形原理,通過圖形變換原理將圓弧蛻變曲線坐標(biāo)變換到漸開線所在坐標(biāo)系中,建立曲線逼近數(shù)學(xué)模型,擬合逼近理論修形后的漸開線,同時利用得出的優(yōu)化參數(shù)建立圓弧蛻變曲線齒廓齒輪。 最后,在ANSYS/LS-DYNA中分別對標(biāo)準(zhǔn)漸開線和修形后的圓弧蛻變曲線兩種齒廓齒輪嚙合模型進行了齒輪嚙合動態(tài)接觸分析,并通過結(jié)果對比分析得出,圓弧蛻變曲線齒輪性能相比漸開線齒輪有所改善。文中也指出,用于加工磨削的圓弧蛻變曲線廓形砂輪易于獲得,因此本課題的研究有一定的實際意義。
[Abstract]:Involute cylindrical gear has been widely used in mechanical transmission because of its good transmission performance, simple machining tool, mature technology and so on.However, due to the elastic deformation, thermal deformation and inevitable manufacturing and installation error of gear teeth, involute gears will be engulfed in and out of shock, vibration and noise in the course of meshing.If only by improving the processing and installation accuracy to improve transmission performance, it will increase manufacturing costs.A large number of practical and theoretical studies have proved that the proper modification of involute tooth profile can effectively improve the gear performance and its bearing capacity.The traditional "topping and root digging" method has been used to modify gears, although some results have been achieved after combining with such parameters as shape modification, shape modification curve, shape modification height, starting point and end point, etc.However, the continuity of gear profile curve is also destroyed, which affects the smoothness of transmission.Arc degenerate curve and involute are similar in geometry and easy to process.In order to ensure the continuity of tooth profile curve after modification and reduce the occurrence of meshing vibration, a simple approximate mathematical model is established in this paper, combining with the equation of arc degenerate curve, to approximate the involute after theoretical modification.The grinding wheel of circular arc degenerated curve profile is machined by using the curve parameters obtained after approaching, which can be used to grinding involute gear, so as to obtain the gear which meets the requirements of gear transmission more.Firstly, the related theory of tooth profile modification is introduced, then the functions and characteristics of Pro/E software are introduced, and how to use Pro/E to establish accurate and standard straight cylindrical gear is described in detail.It provides the foundation for the later shape modification calculation and the finite element dynamic contact analysis.Secondly, the traditional gear profile modification method is described, and the parabola is used to modify the involute profile, which provides the basis for the calculation of the new modification method.Then the forming principle of arc degenerate curve is introduced in detail. The coordinate of arc degenerate curve is transformed into the coordinate system of involute by graphic transformation principle, and the mathematical model of curve approximation is established, and the involute after the modification of approximation theory is fitted.At the same time, the optimized parameters are used to establish the gear profile of arc degenerate curve.Finally, two kinds of gear meshing models of standard involute and modified arc profile are analyzed in ANSYS/LS-DYNA, and the results are compared and analyzed.Compared with involute gear, the performance of arc degenerate curve gear is improved.It is also pointed out that the arc degenerate curve profile grinding wheel is easy to be obtained, so the research of this subject has certain practical significance.
【學(xué)位授予單位】：太原理工大學(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：1727035