本文選題：非對稱齒輪 + 漸開線傾斜修形��； 參考：《武漢理工大學(xué)》2015年博士論文

【摘要】：漸開線圓柱齒輪是當前應(yīng)用最廣泛的機械與汽車傳動零件之一,具有承載能力大,傳遞平穩(wěn),性能穩(wěn)定等優(yōu)點。齒輪技術(shù)包含著多學(xué)科多領(lǐng)域的綜合技術(shù),體現(xiàn)了國家基礎(chǔ)工業(yè)水平高低。隨著科技的發(fā)展,漸開線齒輪在重載、高速傳動領(lǐng)域的應(yīng)用更加廣泛,這就對齒輪的設(shè)計能力和研發(fā)技術(shù)提出了更高的要求。非對稱齒輪的設(shè)計能夠保持常規(guī)漸開線齒輪嚙合平穩(wěn)等優(yōu)點,又具有更好的適應(yīng)性和承載能力。由于制造、裝配誤差以及系統(tǒng)本身彈性變形的存在,齒輪嚙合是非常復(fù)雜的過程。因此,合理的齒輪設(shè)計、齒輪嚙合規(guī)律分析方法的研究、嚙合特性的分析對于提升齒輪的嚙合性能具有重要意義。因此,本文旨在探索齒輪設(shè)計與分析的新方法,針對漸開線非對稱齒輪齒廓設(shè)計與修形、嚙合磨損及疲勞預(yù)測等展開研究,系統(tǒng)研究考慮系統(tǒng)變形的圓柱齒輪修形技術(shù)。根據(jù)嚙合理論和坐標變換方法,推導(dǎo)出具有雙壓力角雙齒根圓弧的漸開線非對稱齒輪的坐標方程,利用推導(dǎo)的方程對對稱齒輪和非對稱齒輪均適用。建立了齒輪接觸分析模型,獲得了不同壓力角角度和載荷作用下齒輪嚙合周期中齒輪嚙合力、周向位移、接觸應(yīng)力的規(guī)律,為非對稱齒輪的修形提供理論依據(jù)。針對非對稱齒輪的齒廓修形提出了漸開線傾斜修形的方法,提出了修形比例系數(shù)和修形角度兩種修形參數(shù),推導(dǎo)出了對應(yīng)的刀具齒廓方程。分析了不同修形參數(shù)對齒輪嚙合過程中的嚙合剛度及其譜特性、傳遞誤差、接觸應(yīng)力、彎曲應(yīng)力和齒間載荷分配系數(shù)的影響,獲得了修形后齒輪的嚙合規(guī)律�；谀p理論建立了齒輪接觸分析模型,分析了齒輪接觸壓力分布以及其沿不同路徑的變化規(guī)律,驗證了齒輪表面接觸壓力分布的離散性。分析了壓力角、修形參數(shù)對齒輪接觸壓力變化規(guī)律的影響。建立了齒輪磨損仿真模型,預(yù)估修形前后齒輪磨損高度,為齒輪磨損量的預(yù)測提供了方法。開展齒輪材料的疲勞試驗研究,預(yù)估齒輪修形前后的疲勞壽命�？紤]到系統(tǒng)變形對齒輪嚙合產(chǎn)生影響,分析了齒輪布置形式和零部件剛度對齒輪系統(tǒng)變形的影響,研究了系統(tǒng)變形對齒輪錯位的影響。建立了考慮系統(tǒng)變形的某商用變速器模型,獲得了在不同路徑和載荷下齒輪的嚙合錯位量,并進行了考慮齒輪嚙合錯位的修形研究,并分析了多種修形方法對齒輪嚙合傳遞誤差以及傳遞誤差峰峰值的影響,研究有利于指導(dǎo)齒輪的修形設(shè)計。
[Abstract]:Involute cylindrical gear is one of the most widely used mechanical and automotive transmission parts at present, which has the advantages of high bearing capacity, stable transmission and stable performance. Gear technology includes multi-disciplinary and multi-field integrated technology, which reflects the level of national basic industry. With the development of science and technology, involute gear is widely used in the field of heavy load and high speed transmission. The design of asymmetrical gears can keep the normal involute gears meshing smoothly and have better adaptability and bearing capacity. Gear meshing is a very complex process due to manufacturing, assembly errors and elastic deformation of the system itself. Therefore, the reasonable gear design, the research on the analysis method of gear engagement law and the analysis of meshing characteristics are of great significance to the improvement of gear meshing performance. Therefore, the purpose of this paper is to explore a new method of gear design and analysis, focusing on tooth profile design and modification of involute asymmetrical gears, meshing wear and fatigue prediction, and systematically studying cylindrical gear modification technology considering system deformation. According to the meshing theory and coordinate transformation method, the coordinate equation of involute asymmetric gear with double pressure angle and double tooth root arc is derived. The equation is applicable to both symmetrical gear and asymmetric gear. The contact analysis model of gear is established, and the law of gear engagement force, circumferential displacement and contact stress in gear meshing cycle under different pressure angles and loads is obtained, which provides a theoretical basis for the modification of asymmetric gear. In this paper, the involute tilting modification method is proposed for the tooth profile modification of asymmetric gears. Two modification parameters, the modification ratio coefficient and the modification angle, are put forward, and the corresponding tooth profile equation of the cutter is derived. The effects of different modification parameters on the meshing stiffness and spectrum characteristics, transmission error, contact stress, bending stress and load distribution coefficient between teeth are analyzed, and the meshing law of modified gear is obtained. Based on the wear theory, a gear contact analysis model is established. The distribution of gear contact pressure and its variation along different paths are analyzed, and the discreteness of gear surface contact pressure distribution is verified. The influence of pressure angle and shape modification parameters on gear contact pressure is analyzed. The gear wear simulation model is established to predict the gear wear height before and after modification, which provides a method for the prediction of gear wear volume. The fatigue life of gear before and after modification was estimated by fatigue test of gear material. Considering the influence of system deformation on gear meshing, the influence of gear arrangement and component stiffness on gear system deformation is analyzed, and the influence of system deformation on gear misalignment is studied. In this paper, a commercial transmission model considering system deformation is established, and the meshing misalignment of gears under different paths and loads is obtained, and the modification of gear meshing dislocation is studied. The influence of various modification methods on gear meshing transfer error and peak value of transmission error is analyzed, and the research is helpful to guide gear modification design.
【學(xué)位授予單位】：武漢理工大學(xué)
【學(xué)位級別】：博士
【學(xué)位授予年份】：2015
【分類號】：TH132.413

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