發(fā)布時間：2018-05-10 20:58

  本文選題：齒廓修形 + 有限元法　； 參考：《太原理工大學(xué)》2011年碩士論文

【摘要】：漸開線齒輪嚙合過程中由于制造誤差、安裝誤差、輪齒受載變形引起的基節(jié)誤差等因素的存在,在傳動過程中會產(chǎn)生嚙入和嚙出沖擊,導(dǎo)致傳動不平穩(wěn),從而產(chǎn)生振動和噪聲。如何改善齒輪的運轉(zhuǎn)性能、提高其承載能力來減少齒輪的失效,是擺在齒輪設(shè)計者和制造者面前的重要課題。 輪齒形狀對齒輪傳動性能有重要的作用,各個國家的學(xué)者都在不斷探索不同的齒廓,不同的加工工藝,以期望獲得接觸載荷變化平穩(wěn)、易于加工的高性能齒輪。理論研究和實際應(yīng)用表明對漸開線齒輪齒廓進(jìn)行適當(dāng)?shù)男扌?可以改善其傳動性能、提高其承載能力。本文用一種新型的齒廓曲線——圓弧蛻變曲線對漸開線齒輪進(jìn)行修形,預(yù)期達(dá)到改善齒輪傳動性能的目的。 首先,介紹了齒輪接觸分析所用的有限元理論,介紹了本文主要用到的ANSYS軟件的功能和特點。詳細(xì)介紹了ANSYS的參數(shù)化設(shè)計語言—APDL的特征和優(yōu)點,根據(jù)漸開線方程、齒根過渡曲線方程,用參數(shù)化建模方法對標(biāo)準(zhǔn)的漸開線齒輪進(jìn)行了三維建模,并進(jìn)行了多個位置的齒輪嚙合齒面接觸靜力分析,得出了標(biāo)準(zhǔn)齒輪在嚙合過程中的接觸應(yīng)力大小和變化規(guī)律,與修形后的齒輪性能相對比做好準(zhǔn)備。 其次,介紹了圓弧蛻變曲線的由來原理和基本方程,結(jié)合齒輪齒廓修形的基本原理和方法,通過坐標(biāo)變換將圓弧蛻變曲線的坐標(biāo)變換到漸開線齒輪所在的坐標(biāo)系,然后建立圓弧蛻變曲線逼近漸開線的數(shù)學(xué)模型,通過對模型的計算可得用圓弧蛻變曲線對漸開線進(jìn)行替代的齒輪齒廓曲線方程。 最后在ANSYS中參數(shù)化建立修形后齒輪嚙合模型,對其進(jìn)行齒面接觸靜力分析,得出了嚙合過程中的接觸應(yīng)力的大小和變化規(guī)律。通過同標(biāo)準(zhǔn)漸開線齒輪嚙合在節(jié)線處的接觸應(yīng)力大小以及一個齒面從嚙入到嚙出的整個嚙合過程的接觸應(yīng)力變化規(guī)律相對比,發(fā)現(xiàn)修形后的齒輪靜力學(xué)性能的些許改善。通過本文的介紹可知圓弧蛻變砂輪可以磨削高精度的硬齒面漸開線齒輪,并且圓弧蛻變砂輪制造簡單,所以用其對標(biāo)準(zhǔn)漸開線齒輪磨削修形后齒輪力學(xué)性能有些許的改善,已經(jīng)達(dá)到本課題的研究目的。
[Abstract]:During the meshing process of involute gear, the factors such as manufacturing error, installation error, base joint error caused by the deformation of gear tooth under load, etc., will produce Erosion-in and Erosion-out impact in the course of transmission, resulting in unsteady transmission and resulting in vibration and noise. How to improve the running performance of gears and increase their bearing capacity to reduce the failure of gears is an important issue for gear designers and manufacturers. Gear shape plays an important role in gear transmission performance. Scholars in various countries are constantly exploring different tooth profiles and different processing techniques in order to obtain high performance gears with stable contact load change and easy processing. Theoretical research and practical application show that proper modification of involute gear profile can improve its transmission performance and increase its bearing capacity. In this paper, the involute gear is modified with a new tooth profile curve-circular arc curve, which is expected to improve the transmission performance of the gear. Firstly, the finite element theory used in gear contact analysis is introduced, and the functions and characteristics of ANSYS software used in this paper are introduced. The characteristics and advantages of ANSYS parametric design language -APDL are introduced in detail. According to the involute equation and tooth root transition curve equation, the standard involute gear is modeled by parametric modeling method. The contact static analysis of gear meshing surface in several positions is carried out, and the contact stress and change law of standard gear in meshing process are obtained, and the performance of gear after modification is compared with that of modified gear. Secondly, the origin principle and basic equation of arc degenerate curve are introduced. Combined with the basic principle and method of gear tooth profile modification, the coordinate of arc decay curve is transformed to the coordinate system of involute gear by coordinate transformation. Then the mathematical model of involute approximation by arc degenerate curve is established. Through the calculation of the model, the gear tooth profile curve equation which is replaced by circular arc decay curve can be obtained. Finally, the meshing model of modified gear is set up in ANSYS, and the contact static analysis of gear surface is carried out, and the magnitude and variation of contact stress in meshing process are obtained. By comparing with the contact stress at the pitch of the standard involute gear and the change of the contact stress in the whole meshing process of a tooth surface, it is found that the static performance of the modified gear is slightly improved. Through the introduction of this paper, it can be seen that the circular arc degenerate grinding wheel can grind the high precision involute gear with hard tooth surface, and the manufacturing of the circular arc profile grinding wheel is simple, so the mechanical properties of the gear after grinding the standard involute gear with the grinding wheel are slightly improved. The purpose of this research has been achieved.
【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】：2011
【分類號】：TH132.41

【引證文獻(xiàn)】

相關(guān)碩士學(xué)位論文 前1條

1 徐超;濾波減速器彈性嚙合效應(yīng)研究[D];重慶大學(xué);2012年

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本文編號：1870884