【摘要】：非圓齒輪具有傳動(dòng)平穩(wěn)、結(jié)構(gòu)緊湊、易實(shí)現(xiàn)動(dòng)平衡以及能實(shí)現(xiàn)周期性的變速運(yùn)動(dòng)的特點(diǎn),將非圓齒輪應(yīng)用于液壓馬達(dá),可以使馬達(dá)兼?zhèn)潴w積小、排量大、耐油污等特點(diǎn)。但是由于非圓齒輪的壓力角、嚙合力方向、中心矩等時(shí)刻變化,其動(dòng)力學(xué)研究具有一定的難度,以往的研究只局限于兩個(gè)外嚙合的非圓齒輪,本文基于增大馬達(dá)排量、平衡系統(tǒng)的徑向力提出了高階橢圓齒輪馬達(dá),并對(duì)橢圓行星齒輪系統(tǒng)的振動(dòng)特性進(jìn)行了研究。首先,對(duì)橢圓行星齒輪系統(tǒng)的結(jié)構(gòu)、齒輪的嚙合原理以及輪系的運(yùn)動(dòng)關(guān)系進(jìn)行了研究,運(yùn)用數(shù)值分析方法得出了太陽(yáng)輪及內(nèi)齒圈的節(jié)曲線方程。推導(dǎo)了利用三次樣條插值已知輪系中一個(gè)橢圓齒輪的節(jié)曲線,繪制出其他齒輪的節(jié)曲線以及齒廓的方法,開發(fā)了參數(shù)化設(shè)計(jì)橢圓行星齒輪結(jié)構(gòu)的交互界面,實(shí)現(xiàn)了通過(guò)輸入相關(guān)參數(shù)就能得到不同橢圓輪系節(jié)曲線的功能。其次,從橢圓齒輪系統(tǒng)的動(dòng)態(tài)性能及使用壽命理論出發(fā),建立了系統(tǒng)的扭轉(zhuǎn)振動(dòng)力學(xué)模型。對(duì)模型中的激振因素如:齒輪本身的形狀結(jié)構(gòu),太陽(yáng)輪軸上的輸出轉(zhuǎn)速、時(shí)變嚙和剛度、綜合誤差及齒輪副間隙等進(jìn)行了研究。再次,用嚙合線上的位移作為自變量推導(dǎo)了橢圓齒輪特殊的振動(dòng)微分方程,用高精度的Runge-kutta方法對(duì)該方程進(jìn)行了求解。以6-8階橢圓行星齒輪系統(tǒng)作為算例,采用逐段線性近似的方法分析其時(shí)域響應(yīng)、相圖、頻譜圖等,研究了系統(tǒng)的動(dòng)態(tài)響應(yīng),分析了阻尼和轉(zhuǎn)速對(duì)動(dòng)態(tài)響應(yīng)的影響。最后,針對(duì)非圓齒輪的特性,完成了通過(guò)利用線切割仿真軟件對(duì)非圓齒輪進(jìn)行加工仿真、代碼生成及傳輸,最終進(jìn)行了加工實(shí)施。本文利用插值法和節(jié)曲線參數(shù)化的GUI界面簡(jiǎn)化了橢圓齒輪的設(shè)計(jì)流程,所建立的動(dòng)力學(xué)模型和微分方程適用于所有變中心矩的行星齒輪系統(tǒng),利用線切割仿真軟件簡(jiǎn)化了非圓齒輪的加工過(guò)程。本文的動(dòng)力學(xué)分析結(jié)果對(duì)非圓齒輪的振動(dòng)、非圓齒輪馬達(dá)的噪聲檢測(cè)及減振措施提供了理論依據(jù)。
[Abstract]:Non-circular gear has the characteristics of stable transmission, compact structure, easy to realize dynamic balance and periodic variable-speed motion. The application of non-circular gear to hydraulic motor can make the motor have the characteristics of small volume, large displacement, oil resistance and so on. However, it is difficult to study the dynamics of non-circular gear due to the pressure angle, the direction of engagement force and the center moment. The previous research is limited to two non-circular gears with external meshing. This paper is based on increasing the displacement of motor. The radial force of the balancing system is presented, and the vibration characteristics of the elliptical planetary gear system are studied. Firstly, the structure of the elliptical planetary gear system, the meshing principle of the gear and the motion relation of the gear train are studied. The nodal curve equations of the solar wheel and the inner gear ring are obtained by using the numerical analysis method. This paper deduces the method of using cubic spline interpolation to know the nodal curve of one elliptical gear in gear train, draws the pitch curve and tooth profile of other gears, and develops the interactive interface of parametric design of elliptical planetary gear structure. The function of different elliptic gear system nodal curves can be obtained by inputting relevant parameters. Secondly, based on the dynamic performance and service life theory of elliptical gear system, the torsional vibration dynamic model of the system is established. The excitation factors in the model, such as the shape and structure of the gear itself, the output speed on the shaft of the solar wheel, the time-varying meshing stiffness, the comprehensive error and the clearance of the gear pair, are studied. Thirdly, the special vibration differential equation of elliptical gear is derived by using the displacement on the meshing line as the independent variable, and the equation is solved by high precision Runge-kutta method. Taking the elliptical planetary gear system of order 6-8 as an example, the time-domain response, phase diagram and frequency spectrum of the system are analyzed by means of piecewise linear approximation. The dynamic response of the system is studied, and the influence of damping and rotational speed on the dynamic response is analyzed. Finally, according to the characteristics of non-circular gear, the machining simulation, code generation and transmission of non-circular gear by wire cutting simulation software are completed, and finally the machining implementation is carried out. In this paper, the design flow of elliptical gear is simplified by interpolation method and GUI interface of nodal curve parameterization. The dynamic model and differential equation are suitable for all planetary gear systems with variable center moment. The machining process of non-circular gear is simplified by wire cutting simulation software. The results of dynamic analysis in this paper provide a theoretical basis for the vibration of non-circular gears, the noise detection of non-circular gear motors and the measures to reduce vibration.
【學(xué)位授予單位】：沈陽(yáng)工業(yè)大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：TH132.41

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