本文選題：非圓齒輪　切入點(diǎn)：面齒輪　出處：《重慶大學(xué)》2012年碩士論文　論文類型：學(xué)位論文

【摘要】：正交非圓面齒輪副是在非圓錐齒輪副的研究基礎(chǔ)上提出一種新型的相交軸間變傳動(dòng)比齒輪副，其結(jié)合了非圓齒輪、非圓錐齒輪和面齒輪三者共同的傳動(dòng)特點(diǎn)，可用來傳遞相交軸間的運(yùn)動(dòng)和動(dòng)力，在工程機(jī)械、農(nóng)用機(jī)械、紡織機(jī)械、汽車等場合，具有潛在的應(yīng)用前景。因此，對正交非圓面齒輪副的研究具有重要的理論意義。 本課題來源于國家自然科學(xué)基金項(xiàng)目，主要目的是探索一種正交非圓面齒輪副的基本傳動(dòng)原理、通用幾何設(shè)計(jì)方法、分析與加工制造方法，并最終通過實(shí)驗(yàn)驗(yàn)證所采用的原理及研究方法的正確性。針對正交非圓面齒輪副，本文開展的主要研究工作如下： 依據(jù)空間齒輪嚙合原理及微分幾何等相關(guān)理論，，研究了正交非圓面齒輪副基本傳動(dòng)原理，建立了其嚙合坐標(biāo)系，推導(dǎo)了正交非圓面齒輪的節(jié)曲線，齒頂曲線，齒根曲線的參數(shù)方程；提出了正交非圓面齒輪接觸痕跡限制在局部的加工方法，確定了加工刀具的基本參數(shù)，分析了加工過程中刀具的空間走刀軌跡，結(jié)合加工刀具的齒面方程與齒輪共軛的基本原理，得到了正交非圓面齒輪的齒面參數(shù)方程；由空間齒輪不產(chǎn)生根切的條件，討論了正交非圓面齒輪避免根切的方法，研究了正交非圓面齒輪齒面變尖現(xiàn)象，得出正交非圓面齒輪齒寬合理取值范圍；分別推導(dǎo)了正交非圓面齒輪副的壓力角、角位移、角速度、角加速度公式，對正交非圓面齒輪副的壓力角變化特性、運(yùn)動(dòng)特性進(jìn)行了分析，討論了偏心率、主從動(dòng)輪的階數(shù)、階數(shù)比及初始輸入角速度等各種幾何參數(shù)對其壓力角、傳動(dòng)比、從動(dòng)輪的角位移、角速度及角加速度特性的影響變化關(guān)系；揭示了正交非圓面齒輪副在各種參數(shù)影響下的運(yùn)動(dòng)學(xué)變化規(guī)律；利用模態(tài)分析的基本原理和相關(guān)有限元分析軟件，獲得了正交非圓面齒輪的固有頻率，對比分析了正交非圓面齒輪的階數(shù)及偏心率等參數(shù)對其固有頻率的影響變化規(guī)律；利用三維軟件Solidworks的二次開發(fā)接口，開發(fā)了正交非圓面齒輪副設(shè)計(jì)與分析系統(tǒng)，分析了正交非圓面齒輪副設(shè)計(jì)所需相關(guān)參數(shù)的選擇方式及原則，獲得了正交非圓面齒輪副三維實(shí)體模型與裝配體模型；研究了正交非圓面齒輪的三軸精銑加工原理，完成了正交非圓面齒輪副的加工，對其進(jìn)行了對滾檢查，并搭建了相應(yīng)的試驗(yàn)臺(tái)，對正交非圓面齒輪副進(jìn)行了傳動(dòng)實(shí)驗(yàn)研究，通過實(shí)驗(yàn)結(jié)果與理論計(jì)算結(jié)果的對比，驗(yàn)證了正交非圓面齒輪副的設(shè)計(jì)方法、加工原理的正確性和可行性，為正交非圓面齒輪的工程實(shí)際應(yīng)用奠定了理論基礎(chǔ)。
[Abstract]:The orthogonal non-circular gear pair is based on the research of non-circular bevel gear pair. A new type of interaxial variable transmission ratio gear pair is proposed, which combines the common transmission characteristics of non-circular gear, non-bevel gear and face gear. It can be used to transfer the motion and power between intersecting shafts. It has potential application prospect in construction machinery, agricultural machinery, textile machinery, automobile and so on. Therefore, the research of orthogonal non-circular gear pair has important theoretical significance. The main purpose of this project is to explore the basic transmission principle, general geometric design method, analysis and manufacturing method of orthogonal non-circular gear pair. Finally, the principle and research method are verified by experiment. The main research work in this paper is as follows:. Based on the theory of space gear meshing and differential geometry, the basic transmission principle of orthogonal non-circular gear pair is studied, its meshing coordinate system is established, and the pitch curve and tooth top curve of orthogonal non-circular gear are deduced. The parameter equation of tooth root curve is put forward, the machining method of orthogonal non-circular gear contact trace is put forward, the basic parameters of machining tool are determined, and the tool path in space is analyzed. Combined with the basic principle of tooth surface equation and gear conjugation of machining tool, the tooth surface parameter equation of orthogonal non-circular gear is obtained, and the method of avoiding root cutting of orthogonal non-circular gear is discussed from the condition that space gear does not produce root cut. In this paper, the phenomenon of tooth face sharpening of orthogonal non-circular gear is studied, and the reasonable range of tooth width of orthogonal non-circular gear is obtained, and the formulas of pressure angle, angular displacement, angular velocity and angular acceleration of orthogonal non-circular gear pair are derived respectively. The characteristics of pressure angle change and motion characteristics of orthogonal non-circular gear pair are analyzed. The eccentricity, order number of main and slave driving wheel, order ratio and initial input angular velocity are discussed to its pressure angle and transmission ratio. According to the influence of angular displacement, angular velocity and angular acceleration, the kinematics of orthogonal non-circular gear pair under the influence of various parameters is revealed, and the basic principle of modal analysis and the related finite element analysis software are used. The natural frequency of orthogonal non-circular gear is obtained, and the influence of the order and eccentricity of orthogonal non-circular gear on its natural frequency is compared and analyzed. The design and analysis system of orthogonal non-circular gear pair is developed. The selection methods and principles of the parameters needed for the design of orthogonal non-circular gear pair are analyzed. The three-dimensional solid model and assembly body model of orthogonal non-circular gear pair are obtained. The machining principle of orthogonal non-circular gear is studied, the machining of orthogonal non-circular gear pair is completed, the rolling inspection is carried out, the corresponding test bed is built, and the transmission experiment of orthogonal non-circular gear pair is carried out. By comparing the experimental results with the theoretical results, the design method of orthogonal non-circular gear pairs is verified, and the correctness and feasibility of machining principle are verified, which lays a theoretical foundation for the practical engineering application of orthogonal non-circular gears.
【學(xué)位授予單位】：重慶大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2012
【分類號】：TH132.41

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