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弧面凸輪機(jī)構(gòu)制造誤差及曲面特性研究

發(fā)布時(shí)間:2018-04-24 12:48

  本文選題:弧面凸輪機(jī)構(gòu) + 微分幾何; 參考:《北京工業(yè)大學(xué)》2016年博士論文


【摘要】:弧面凸輪機(jī)構(gòu)是一種間歇分度傳動(dòng)機(jī)構(gòu),由于其結(jié)構(gòu)緊湊、工作可靠、承載能力大等優(yōu)點(diǎn)廣泛應(yīng)用于食品機(jī)械、包裝機(jī)械、煙草機(jī)械及加工中心自動(dòng)換刀裝置(ATC)中。本文研究的弧面凸輪機(jī)構(gòu),由于其運(yùn)動(dòng)關(guān)系復(fù)雜,弧面凸輪廓面難于加工,目前我國(guó)對(duì)于高檔弧面凸輪機(jī)構(gòu)(也即自動(dòng)換刀裝置)還沒有完全自主生產(chǎn)能力,大部分依賴進(jìn)口。為了提升整體制造能力,完全掌握其核心制造技術(shù),迫切需要對(duì)弧面凸輪機(jī)構(gòu)進(jìn)行系統(tǒng)深入的理論研究,為開展全面生產(chǎn)制造提供理論基礎(chǔ)。首先,論文對(duì)四軸雙聯(lián)動(dòng)弧面凸輪專用加工機(jī)床加工出的弧面凸輪輪廓誤差進(jìn)行了分析;谖⒎謳缀魏蛧Ш侠碚,充分考慮了弧面凸輪專用加工機(jī)床各旋轉(zhuǎn)軸誤差、相對(duì)位置誤差以及線位移誤差等,推導(dǎo)了弧面凸輪廓面誤差的數(shù)學(xué)模型,通過引用影響因子的概念分析了機(jī)床誤差對(duì)弧面凸輪廓面加工誤差的影響。為設(shè)計(jì)加工弧面凸輪專用機(jī)床提供理論指導(dǎo),提出了既考慮成本又考慮加工容易程度的加工容易度模型,以最大加工容易度為目標(biāo),以弧面凸輪廓面的加工精度為限制條件,并充分考慮加工工藝的約束條件等,建立了弧面凸輪專用加工機(jī)床的公差分配模型。通過優(yōu)化設(shè)計(jì)方法,得到了機(jī)床的公差優(yōu)化設(shè)計(jì)結(jié)果,為弧面凸輪專用加工機(jī)床的公差設(shè)計(jì)提供了參考。接著,針對(duì)弧面凸輪凸脊較薄的問題,開展了弧面凸輪凸脊厚度計(jì)算的研究。運(yùn)用微分幾何中的測(cè)地線理論,提出了弧面凸輪凸脊厚度的計(jì)算方法,并基于微分幾何和嚙合原理,推導(dǎo)了弧面凸輪凸脊厚度的解析表達(dá)式。此外,還研究了弧面凸輪廓面的接觸線、凸脊兩側(cè)廓面與參考圓環(huán)面的交線以及參考圓環(huán)面的測(cè)地線。通過VC++軟件對(duì)以上參數(shù)進(jìn)行了數(shù)值計(jì)算,并利用Creo軟件進(jìn)行了三維仿真。通過不同運(yùn)動(dòng)規(guī)律曲線的比較,研究了弧面凸輪脊厚的影響因素,為后續(xù)弧面凸輪機(jī)構(gòu)運(yùn)動(dòng)規(guī)律的選取以及弧面凸輪強(qiáng)度和剛度等的分析奠定了基礎(chǔ)。其次,研究了弧面凸輪廓面的曲面特性。首先研究了弧面凸輪廓面的第一基本型、第二基本型和第三基本型,在此基礎(chǔ)上推導(dǎo)并計(jì)算了弧面凸輪廓面的主曲率、主方向、高斯曲率、漸近方向等參數(shù)。然后依據(jù)弧面凸輪機(jī)構(gòu)的不同運(yùn)動(dòng)區(qū)間,對(duì)弧面凸輪曲面的局部幾何形狀進(jìn)行了分類研究,并通過VC++軟件計(jì)算后利用Creo軟件對(duì)弧面凸輪廓面的幾何參數(shù)進(jìn)行了三維仿真。最后,對(duì)弧面凸輪的直紋面特性進(jìn)行了研究。為了得到精確的計(jì)算結(jié)果,計(jì)算并仿真了弧面凸輪廓面的漸近曲線,而且提出應(yīng)用漸近曲線的曲率來判別弧面凸輪廓面是否為直紋面。分析結(jié)果表明弧面凸輪廓面為非直紋面,此部分研究成果為弧面凸輪加工工藝的選取提供了理論參考。再次,系統(tǒng)全面地提出了研究弧面凸輪機(jī)構(gòu)嚙合曲面的幾何特征的方法?偨Y(jié)了弧面凸輪廓面Dupin標(biāo)線的計(jì)算公式,依據(jù)不同的曲面特征點(diǎn)計(jì)算并繪出了弧面凸輪與從動(dòng)滾子廓面的Dupin標(biāo)線。計(jì)算了弧面凸輪與從動(dòng)滾子在嚙合點(diǎn)處沿各個(gè)方向相對(duì)法曲率的特征曲線,并對(duì)不同嚙合點(diǎn)處的相對(duì)法曲率特征曲線進(jìn)行了比較;贒upin標(biāo)線,應(yīng)用Radzevich的曲面一致性理論分析了弧面凸輪機(jī)構(gòu)嚙合曲面的接觸幾何特征。結(jié)合弧面凸輪與從動(dòng)滾子的嚙合特點(diǎn),首次研究了馬鞍面與瓦狀面嚙合的曲面一致率標(biāo)線,同時(shí)為兩嚙合曲面干涉提出了新的判別方法。該部分研究?jī)?nèi)容將對(duì)以后嚙合曲面接觸強(qiáng)度和接觸應(yīng)力的研究提供有力的理論依據(jù)。最后,對(duì)弧面凸輪廓面誤差及刀庫弧面凸輪機(jī)構(gòu)刀具翻轉(zhuǎn)定位精度開展了實(shí)驗(yàn)研究。通過使用三坐標(biāo)測(cè)量機(jī)對(duì)設(shè)計(jì)的弧面凸輪制造專機(jī)制造的弧面凸輪廓面誤差進(jìn)行了檢測(cè),并給出了詳細(xì)的檢測(cè)步驟和測(cè)量結(jié)果。開發(fā)了刀庫中自動(dòng)換刀裝置刀具翻轉(zhuǎn)定位精度的檢測(cè)平臺(tái),研究了檢測(cè)原理及方法,為工廠提供了動(dòng)態(tài)檢測(cè)刀具翻轉(zhuǎn)定位精度的方案及檢測(cè)方法。
[Abstract]:The globoidal cam mechanism is a kind of intermittent transmission mechanism. It is widely used in food machinery, packaging machinery, tobacco machinery and machining center automatic knife exchange device (ATC) because of its compact structure, reliable work and large bearing capacity. The arc surface cam mechanism studied in this paper is difficult to be machined because of its complex motion relations. At present, our country has not fully independent production capacity for the high grade camber cam mechanism (also that is automatic knife exchange device). Most of them depend on the import. In order to improve the overall manufacturing capability and master the core manufacturing technology completely, the theoretical research on the arc surface cam mechanism is urgently needed to provide the theoretical basis for the comprehensive production and manufacture. First, the paper analyzes the profile error of the arc surface cam machined by the four axis double linkage arc surface cam machine tool. Based on the differential geometry and meshing theory, the error of the rotation axis, relative position error and line displacement error of the arc surface cam are fully considered, and the error number of the arc surface cam profile is deduced. The influence of the machine error on the machining error of the arc surface cam profile is analyzed by the concept of the influence factor, and the theoretical guidance is provided for the special machine tool for the design and processing of the camper cam. The machining precision is limited and the constraint conditions of processing technology are taken into full consideration. The tolerance distribution model of the arc surface cam special machining machine is set up. The optimum design result of the tolerance of the machine tool is obtained by the optimization design method, and the reference for the tolerance design of the arc surface cam special machining machine is provided. Then, the camber cam convex ridge is used. The calculation of the thickness of the convex ridge of the globoidal cam is put forward by using the geodesic theory in differential geometry. Based on the differential geometry and meshing principle, the analytic expression of the thickness of the convex ridge of the camper cam is derived, and the contact line and the convex ridge of the curved cam profile are also studied. The intersection of the two sides of the surface and the reference circle ring and the geodesic reference circular ring. Through the VC++ software, the above parameters are calculated, and the three-dimensional simulation is carried out with the Creo software. The influence factors of the ridge thickness of the camper cam are studied by the comparison of the curves of different motion laws, which can be used for the selection of the motion law of the following cam mechanism. As well as the foundation for the analysis of the intensity and stiffness of the globoidal cam. Secondly, the surface characteristics of the arc surface cam profile are studied. First, the first basic, second basic and third basic profiles of the arc surface cam profile are studied. On this basis, the main curvature, the main direction, the Gauss curvature, the asymptotic direction, etc. of the arc surface cam profile are derived and calculated. And then according to the different motion intervals of the camboface cam mechanism, the local geometry of the curved surface cam surface is classified and studied. The geometric parameters of the curved surface cam profile are simulated with the software Creo software by VC++ software. Finally, the straight surface characteristics of the camper cam are studied. The asymptotic curve of the arc surface cam profile is calculated and simulated, and the curvature of the asymptotic curve is applied to determine whether the curved surface of the camper cam is a straight face. The analysis results show that the arc surface cam profile is non straight surface. The research results provide a theoretical reference for the selection of the machining process of the arc cam. The method to study the geometric features of the meshing surface of the camper cam mechanism is put forward comprehensively. The calculation formula of the Dupin line of the arc surface cam profile is summed up, and the Dupin marking of the curved surface cam and the driven roller profile surface is drawn according to the different feature points of the curved surface. The characteristic curves of normal curvature are compared, and the relative normal curvature characteristic curves at different meshing points are compared. Based on the Dupin line, the contact geometry characteristics of the meshing surface of the camber cam mechanism are analyzed by using the surface conformance theory of Radzevich. The saddle surface and the tile shape are first studied in the light of the meshing characteristics of the arc surface cam and the driven roller. At the same time, a new discriminant method is proposed for the two meshing surface interference. This part will provide a powerful theoretical basis for the study of contact strength and contact stress of the meshing surface. Finally, the accuracy of the arc surface cam profile error and the tool turnover positioning accuracy of the cutter base cam mechanism is carried out. The three coordinate measuring machine is used to detect the profile error of the arc surface cam made by the designed arc surface cam manufacturing machine, and the detailed detection steps and results are given. The detection platform for the positioning accuracy of the tool turnover in the automatic knife exchange device is developed, and the principle and method of the detection are studied. Dynamic detection of tool turnover positioning accuracy and detection method.

【學(xué)位授予單位】:北京工業(yè)大學(xué)
【學(xué)位級(jí)別】:博士
【學(xué)位授予年份】:2016
【分類號(hào)】:TH112.2

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