本文選題：高階多段變性橢圓齒輪　切入點(diǎn)：橢圓族封閉齒輪　出處：《合肥工業(yè)大學(xué)》2015年博士論文　論文類型：學(xué)位論文

【摘要】：非圓齒輪綜合了圓齒輪和凸輪機(jī)構(gòu)的優(yōu)點(diǎn),能準(zhǔn)確地以變傳動比傳遞較大的動力,還可用于實(shí)現(xiàn)精確非圓軌跡的運(yùn)動。由于種類繁多、形狀各異、傳動副設(shè)計(jì)計(jì)算復(fù)雜,特別是滾、插等加工時(shí)聯(lián)動軸的(角)速度、(角)加速度時(shí)變劇烈,加工困難且精度難以保證。為發(fā)揮非圓齒輪傳動獨(dú)特優(yōu)勢及滿足大量制造的現(xiàn)實(shí)需要,對非圓齒輪進(jìn)行理論統(tǒng)一及研究高精高效制造技術(shù)具有重要價(jià)值。用高階多段變性橢圓齒輪統(tǒng)一刻畫橢圓族封閉齒輪,探索高階多段變性橢圓齒輪共軛對傳動機(jī)理,分析其傳動特性,達(dá)到標(biāo)準(zhǔn)化設(shè)計(jì)之目標(biāo),為同行廣泛采納和應(yīng)用。針對當(dāng)前普遍采用效率低下的線切割加工非圓齒輪的現(xiàn)狀,本文優(yōu)化及遴選非圓齒輪滾齒和插削聯(lián)動方案及數(shù)學(xué)模型,構(gòu)建完整的制造理論,重點(diǎn)研究非圓齒輪對角滾齒方法及非圓斜齒輪制造理論,實(shí)現(xiàn)高精高效低成本加工非圓(斜)齒輪之目標(biāo)。本文在對國內(nèi)外非勻速比傳動設(shè)計(jì)方法及非圓齒輪制造技術(shù)分析總結(jié)的基礎(chǔ)上,采用理論分析、數(shù)值模擬和實(shí)驗(yàn)相結(jié)合的方法,對高階多段變性橢圓齒輪的設(shè)計(jì)方法、特性,及包括高階多段變性橢圓齒輪在內(nèi)的自由節(jié)曲線非圓齒輪的滾齒、插齒等技術(shù)進(jìn)行了深入研究。完成的主要研究工作和成果總結(jié)如下：1)研究橢圓族封閉齒輪傳動理論。根據(jù)應(yīng)用中最大、最小傳動比要求,提出高階橢圓齒輪、二段變性橢圓齒輪、高階二段變性橢圓齒輪傳動的實(shí)用設(shè)計(jì)方法；特別研究了橢圓族斜齒輪和橢圓族內(nèi)嚙合齒輪傳動理論；在此基礎(chǔ)上,提出高階多段變性橢圓齒輪這一橢圓族封閉齒輪的統(tǒng)一數(shù)學(xué)表達(dá)式,研究了嚙合對的設(shè)計(jì)方法和性能特性。2)研究高階多段變性橢圓齒輪CAD系統(tǒng)和虛擬加工方法�；贛atlab與VBA混合編程開發(fā)出功能齊全的高階多段變性橢圓齒輪CAD系統(tǒng),還研究了高階多段變性橢圓齒輪滾齒和插齒虛擬加工技術(shù)。3)研究多策略橢圓族封閉齒輪滾齒加工技術(shù)。包括非對角滾四軸聯(lián)動、非對角滾五軸聯(lián)動、對角滾五軸聯(lián)動、對角滾六軸聯(lián)動,分別建立了4種滾齒方法的實(shí)用聯(lián)動模型,完成最佳滾齒模型的遴選,提供了2種對角滾方案的應(yīng)用方法。4)研究多策略的外嚙合和內(nèi)嚙合橢圓族封閉齒輪插齒技術(shù)�；诓妪X基本聯(lián)動模型,開發(fā)出具備插制斜齒功能的實(shí)用聯(lián)動模型,進(jìn)行實(shí)用聯(lián)動模型性能分析及方案遴選,獲得最佳聯(lián)動模型,構(gòu)成了完整的非圓齒輪插削加工理論。
[Abstract]:Non-circular gear combines the advantages of circular gear and cam mechanism, can accurately transfer large power with variable transmission ratio, and can also be used to realize the movement of accurate non-circular trajectory. Because of the variety of kinds and different shapes, the design and calculation of transmission pair is complicated. In particular, the angular velocity and acceleration of the linkage shaft in rolling and inserting machining are very time-varying, difficult to process and difficult to guarantee. In order to give full play to the unique advantages of non-circular gear transmission and to meet the practical needs of a large number of manufacturing, It is of great value to unify the theory of non-circular gears and to study the high-precision and high-efficiency manufacturing technology. The elliptic family closed gears are characterized by high-order multi-segment denatured elliptic gears, and the conjugate pair transmission mechanism of high-order multi-segment denatured elliptic gears is explored. Its transmission characteristics are analyzed to achieve the goal of standardized design, which is widely adopted and applied by peers. In this paper, the linkage scheme and mathematical model of non-circular gear hobbing and cutting are optimized and selected, the complete manufacturing theory is constructed, and the method of non-circular gear diagonal hobbing and the manufacturing theory of non-circular helical gear are studied emphatically. The aim of high precision, high efficiency and low cost machining of non-circular (helical) gear is realized. Based on the analysis and summary of the non-uniform specific transmission design method and the manufacturing technology of non-circular gear, the theoretical analysis is adopted in this paper. The design method and characteristics of high order multisegment denatured elliptic gear and the hobbing of free pitch curve non-circular gear including high order multisegment denatured elliptic gear are combined with numerical simulation and experiment. The main research work and results are summarized as follows: 1) the theory of elliptic family closed gear transmission is studied. According to the requirement of maximum and minimum transmission ratio in application, the high order elliptical gear is proposed. The practical design method of two-stage denatured elliptic gear and high-order two-stage denatured elliptical gear transmission, especially the theory of elliptic family helical gear and elliptic family internal meshing gear transmission is studied. This paper presents a unified mathematical expression for the elliptical family of closed gears with high order multisegment denatured elliptic gears. The design method and performance characteristic of meshing pair are studied. (2) the CAD system and virtual machining method of high order multisegment denatured elliptic gear are studied. Based on Matlab and VBA mixed programming, a high order multisegment modified elliptic gear CAD system with complete function is developed. The virtual machining technology of high-order multi-segment denatured elliptic gear hobbing and gear shafting is also studied. (3) the multi-strategy elliptic family closed gear hobbing technology is studied, including non-diagonal roll four-axis linkage, non-diagonal roll five-axis linkage, diagonal roll five-axis linkage, and diagonal roll five-axis linkage. The practical linkage models of four kinds of gear hobbing methods are established to select the best gear hobbing model. In this paper, two diagonal rolling schemes are provided. 4) the multi-strategy external meshing and internal meshing elliptic family closed gear shafting technology is studied. Based on the basic linkage model of gear shaper, a practical linkage model with the function of slotting is developed. The performance analysis and scheme selection of practical linkage model are carried out, and the optimal linkage model is obtained, which constitutes the complete theory of non-circular gear cutting.
【學(xué)位授予單位】：合肥工業(yè)大學(xué)
【學(xué)位級別】：博士
【學(xué)位授予年份】：2015
【分類號】：TH132.41

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