發(fā)布時(shí)間：2018-10-31 14:30

【摘要】：漸開(kāi)線圓柱斜齒輪具有傳動(dòng)平穩(wěn)、嚙合沖擊和振動(dòng)噪聲小等特點(diǎn),在高速重載和高性能需求的傳動(dòng)工業(yè)領(lǐng)域得到了廣泛使用。但目前我國(guó)在高精度齒輪設(shè)計(jì)制造與國(guó)際先進(jìn)水平存在差距,本文基于國(guó)家科技支撐計(jì)劃課題,借鑒弧齒錐齒輪的主動(dòng)設(shè)計(jì)研究理論,針對(duì)基于傳動(dòng)誤差的高精密漸開(kāi)線斜齒圓柱齒輪開(kāi)展主動(dòng)設(shè)計(jì)研究。本文基于共軛漸開(kāi)線斜齒圓柱齒輪齒面嚙合理論,分別建立了考慮滾刀安裝誤差以及軸線不平度引起的齒輪安裝誤差的齒面接觸模型�；赥CA(Tooth Contact Analysis)技術(shù),利用MATLAB軟件實(shí)現(xiàn)了斜齒輪副的傳動(dòng)模擬分析,分析得到影響齒輪加工精度的滾刀安裝誤差和安裝誤差對(duì)斜齒輪的傳動(dòng)誤差曲線和接觸跡線的影響規(guī)律。基于誤差補(bǔ)償技術(shù),依據(jù)加工誤差補(bǔ)償裝配誤差的理論,實(shí)現(xiàn)平行軸圓柱斜齒輪嚙合質(zhì)量的主動(dòng)設(shè)計(jì)。論文內(nèi)容主要有:1)基于滾刀加工原理的理論基礎(chǔ)和螺旋齒面形成的方法論,推導(dǎo)了適合的嚙合齒面方程和單位法矢量。運(yùn)用微分幾何和空間嚙合原理中的矢量回轉(zhuǎn)與坐標(biāo)變換方法,建立了考慮滾刀安裝誤差的斜齒輪共軛齒面接觸模型�；邶X輪副共軛運(yùn)動(dòng)理論,推導(dǎo)了兩齒面在接觸點(diǎn)處的TCA方程組和嚙合表達(dá)式�；贛ATLAB軟件編制仿真分析程序,仿真結(jié)果表明:傳動(dòng)誤差曲線對(duì)滾刀安裝軸線交角偏差的敏感度較小,但隨著該誤差的增大,其敏感度升高;傳動(dòng)誤差曲線對(duì)滾刀徑向跳動(dòng)量的敏感度較大,但隨著該誤差的增大,其敏感度在降低。2)根據(jù)平行軸漸開(kāi)線斜齒輪副的齒廓嚙合基本定理和漸開(kāi)線的性質(zhì),推導(dǎo)結(jié)果表明,中心距誤差對(duì)齒輪副的傳動(dòng)誤差影響較小。將齒輪副裝配過(guò)程中可能導(dǎo)致的各項(xiàng)安裝偏差考慮在內(nèi),建立相關(guān)的接觸數(shù)學(xué)模型,基于TCA技術(shù),進(jìn)行誤差模擬分析。結(jié)果表明:軸線平面內(nèi)和垂直平面內(nèi)的平行度誤差都會(huì)改變齒輪接觸跡線位置,但隨著軸線平面平行度誤差的增加,接觸跡線偏離無(wú)安裝誤差理論位置增加的幅度減小,其敏感性降低;隨著垂直平面內(nèi)的平行度誤差的增加,接觸跡線偏離無(wú)安裝誤差理論位置增加的幅度增大,其敏感性升高。3)基于誤差補(bǔ)償技術(shù),通過(guò)改變滾刀安裝誤差值,實(shí)現(xiàn)被加工齒輪的齒面形狀的改變,分析不同的加工誤差來(lái)源對(duì)齒輪副安裝誤差所引起的接觸跡線的補(bǔ)償作用。通過(guò)接觸跡線觀察分析得出結(jié)論:通過(guò)改變滾刀安裝軸線誤差角,能實(shí)現(xiàn)齒面接觸特性的可控制性。
[Abstract]:Involute cylindrical helical gears are widely used in the field of high speed heavy load and high performance drive industry because of their stable transmission, low meshing impact and low vibration noise. However, there is a gap between the design and manufacture of high-precision gears in China and the advanced level in the world. Based on the national science and technology support project, this paper draws lessons from the theory of active design of spiral bevel gears. The active design of high precision involute helical cylindrical gear based on transmission error is studied. In this paper, based on the meshing theory of conjugate involute helical cylindrical gears, a tooth surface contact model considering hob installation error and gear installation error caused by axis irregularity is established respectively. Based on TCA (Tooth Contact Analysis) technology, the transmission simulation analysis of helical gear pair is realized by using MATLAB software. The influence of hob installation error and installation error on helical gear transmission error curve and contact trace is analyzed. Based on error compensation technology and the theory of machining error compensating assembly error, the active design of meshing quality of parallel axis cylindrical helical gear is realized. The main contents of this paper are as follows: 1) based on the theoretical basis of hob machining principle and the methodology of helical tooth surface formation, the suitable meshing tooth surface equation and unit normal vector are derived. By using vector rotation and coordinate transformation in differential geometry and spatial meshing principle, a conjugate tooth contact model of helical gear considering hob installation error is established. Based on the theory of conjugate motion of gear pair, the TCA equations and meshing expressions of two tooth surfaces at contact point are derived. Based on the MATLAB software, the simulation results show that the sensitivity of the transmission error curve to the angle deviation of the hob mounting axis is small, but the sensitivity increases with the increase of the error. The sensitivity of transmission error curve to the radial runout of hob is great, but with the increase of the error, the sensitivity decreases. 2) according to the basic theorem of tooth profile meshing and the properties of involute helical gear pair of parallel axis, the derivation results show that, The center distance error has little effect on the transmission error of gear pair. Taking into account the possible installation deviations in the assembly process of gear pairs, the related contact mathematical model is established, and the error simulation analysis is carried out based on TCA technology. The results show that the parallelism error in the axis plane and the vertical plane will change the position of the gear contact trace, but with the increase of the parallelism error of the axis plane, the amplitude of the contact trace deviation from the theoretical position without installation error will decrease. Its sensitivity was decreased; With the increase of the parallelism error in the vertical plane, the range of contact trace deviation from the theoretical position without mounting error increases and its sensitivity increases. 3) based on error compensation technology, by changing the hob installation error value, The change of the tooth surface shape of the machined gear is realized, and the compensation effect of different machining error sources on the contact trace caused by the gear pair installation error is analyzed. Through the observation and analysis of contact trace, it is concluded that by changing the error angle of hob mounting axis, the controllability of tooth surface contact characteristics can be realized.
【學(xué)位授予單位】：太原理工大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2016
【分類號(hào)】：TH132.41

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