基于瞬心線的諧波傳動(dòng)3C齒形設(shè)計(jì)與分析
發(fā)布時(shí)間:2018-02-08 20:57
本文關(guān)鍵詞: 瞬心線 諧波傳動(dòng) 柔輪應(yīng)力 空間齒廓 設(shè)計(jì)準(zhǔn)則 出處:《大連理工大學(xué)》2012年碩士論文 論文類型:學(xué)位論文
【摘要】:課題源于國(guó)家自然科學(xué)基金項(xiàng)目“諧波齒輪傳動(dòng)彈性運(yùn)動(dòng)幾何學(xué)及其齒形設(shè)計(jì)方法研究”(No.50975038),基于諧波齒輪傳動(dòng)課題組前人較成熟的研究成果之上提出了一種新齒形,建立了諧波傳動(dòng)柔輪杯體結(jié)構(gòu)的參數(shù)設(shè)計(jì)準(zhǔn)則,同時(shí)對(duì)這種齒廓進(jìn)行運(yùn)動(dòng)學(xué)仿真。通過(guò)有限元分析軟件Abaqus對(duì)諧波減速器工作的過(guò)程進(jìn)行了動(dòng)態(tài)仿真,從仿真結(jié)果中可以得到柔輪上中性層節(jié)點(diǎn)在負(fù)載情況下的位移,并對(duì)其進(jìn)行了傅立葉擬合,從而得到了負(fù)載時(shí)的瞬心線,同時(shí)根據(jù)瞬心線的畸變規(guī)律對(duì)柔輪齒形進(jìn)行了改進(jìn)及性能評(píng)價(jià)。 首先,本文提出一種齒形和柔輪結(jié)構(gòu)參數(shù)的設(shè)計(jì)準(zhǔn)則,并且在給定剛輪齒廓的前提下,基于瞬心線的基本嚙合理論,通過(guò)解共軛方程和坐標(biāo)轉(zhuǎn)換得出與剛輪齒廓對(duì)應(yīng)的柔輪齒廓;編制MATLAB GUI界面,方便了柔輪結(jié)構(gòu)參數(shù)和齒形參數(shù)的輸入,模擬了共軛過(guò)程的運(yùn)動(dòng)學(xué)仿真并通過(guò)干涉校驗(yàn)來(lái)確定和改進(jìn)齒形參數(shù),實(shí)現(xiàn)了諧波傳動(dòng)共軛齒形求解及嚙合性能參數(shù)的可視化輸出,進(jìn)而方便了對(duì)初始參數(shù)的修改和人機(jī)互動(dòng)。 其次,運(yùn)用Abaqus軟件建立出了杯形柔輪諧波傳動(dòng)的有限元模型,并采用Abaqus自帶的通用型隱式算法ABAQUS/Standard對(duì)波發(fā)生器裝入柔輪杯體的過(guò)程進(jìn)行了模擬仿真,從結(jié)果文件中可以得到柔輪薄壁中性層節(jié)點(diǎn)在空載情況下的周向、徑向以及轉(zhuǎn)角位移,同時(shí)與理論位移進(jìn)行了對(duì)比分析。利用Abaqus中適合計(jì)算瞬態(tài)分析的顯式算法ABAQUS/Explicit對(duì)加載運(yùn)轉(zhuǎn)時(shí)的諧波齒輪傳動(dòng)過(guò)程進(jìn)行了動(dòng)態(tài)仿真,在此基礎(chǔ)上對(duì)柔輪負(fù)載時(shí)的變形規(guī)律進(jìn)行了分析,用Matlab里的cftool工具箱上的Fourier方程對(duì)此變形規(guī)律進(jìn)行擬合,進(jìn)而得到瞬心線的畸變規(guī)律,并在此基礎(chǔ)上對(duì)柔輪齒廓進(jìn)行改進(jìn),同時(shí)研究改進(jìn)后的齒形特性。 參考圓弧齒和擺線齒形的性能優(yōu)點(diǎn),設(shè)計(jì)出一種嚙合性能較好的3C齒形,其齒廓由兩圓弧(Circle)和一條擺線(Cycloid)組成,并用Matlab對(duì)其進(jìn)行了運(yùn)動(dòng)學(xué)仿真。通過(guò)ABAQUS對(duì)3C齒形諧波齒輪傳動(dòng)過(guò)程的動(dòng)態(tài)仿真,結(jié)果表明這種齒廓在空載和負(fù)載兩種情況下的瞬心線比較穩(wěn)定,并且.嚙合性能明顯優(yōu)于漸開(kāi)線,突顯了3C齒形的優(yōu)越性。 本文在諧波齒輪傳動(dòng)的結(jié)構(gòu)參數(shù)設(shè)計(jì)原則以及齒形嚙合性能的評(píng)價(jià)方面的研究方法和結(jié)論,對(duì)諧波傳動(dòng)的疲勞壽命和嚙合性能等相關(guān)領(lǐng)域的研究有著十分重要的實(shí)用價(jià)值與意義。
[Abstract]:The subject originates from the project of National Natural Science Foundation of China, "study on the Geometry of Elastic Motion of Harmonic Gear Transmission and its Tooth shape Design method" No. 50975038A new tooth shape is proposed based on the more mature research results of the former predecessors of the harmonic gear transmission research group. The parameter design criterion of harmonic drive flexible wheel cup structure is established, and the kinematics simulation of the tooth profile is carried out. The dynamic simulation of harmonic reducer is carried out by the finite element analysis software Abaqus. From the simulation results, the displacement of the neutral layer node on the flexible wheel under load condition can be obtained, and the Fourier fitting is carried out to obtain the instantaneous center line of the load. At the same time, according to the distortion law of the instantaneous center line, the tooth profile of the flexible wheel is improved and its performance is evaluated. First of all, this paper presents a design criterion of tooth shape and flexible wheel structure parameters, and based on the basic meshing theory of instantaneous center line, given the tooth profile of rigid wheel. By solving the conjugate equation and coordinate transformation, the tooth profile corresponding to the tooth profile of the rigid wheel is obtained, and the interface of MATLAB GUI is compiled to facilitate the input of the structural parameters and tooth profile parameters of the flexure wheel. The kinematics simulation of conjugate process is simulated and the tooth profile parameters are determined and improved by interference check. The conjugate tooth profile of harmonic drive and the visual output of meshing performance parameters are realized, and the modification of initial parameters and man-machine interaction are facilitated. Secondly, the finite element model of cup flexible wheel harmonic transmission is established by using Abaqus software, and the process of loading the wave generator into the flexible wheel cup is simulated by using Abaqus's general implicit algorithm ABAQUS/Standard. From the result file, the circumferential, radial and angular displacements of the thin-walled neutral layer nodes in the flexible wheel under no-load conditions can be obtained. At the same time, compared with the theoretical displacement, the dynamic simulation of the harmonic gear transmission process is carried out by using the explicit algorithm ABAQUS/Explicit, which is suitable for calculating the transient analysis in Abaqus. On this basis, the deformation law of flexible wheel under load is analyzed, the deformation law is fitted by Fourier equation in cftool toolbox of Matlab, and the distortion law of instantaneous center line is obtained, and the tooth profile of flexure wheel is improved. At the same time, the improved tooth profile is studied. Referring to the performance advantages of circular arc tooth and cycloid tooth, a kind of 3C tooth profile with good meshing performance is designed. The tooth profile is composed of two circular arcs Circleand a cycloid. Through the dynamic simulation of 3C harmonic gear transmission process by ABAQUS, the results show that the instantaneous center line of this kind of tooth profile is stable under the condition of no-load and load. Moreover, the meshing performance is obviously superior to involute, which highlights the superiority of 3C tooth profile. In this paper, the research methods and conclusions on the design principle of structural parameters of harmonic gear transmission and the evaluation of tooth profile meshing performance are presented. It is of great value and significance to study the fatigue life and meshing performance of harmonic transmission.
【學(xué)位授予單位】:大連理工大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2012
【分類號(hào)】:TH132.43
【引證文獻(xiàn)】
相關(guān)碩士學(xué)位論文 前1條
1 李德舉;基于ABAQUS的諧波傳動(dòng)效率計(jì)算方法研究[D];大連理工大學(xué);2013年
,本文編號(hào):1496256
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