【摘要】：載荷均衡分配對(duì)于提高行星齒輪傳動(dòng)系統(tǒng)壽命、增大可靠性和減小振動(dòng)尤為重要，強(qiáng)非線性的行星齒輪傳動(dòng)系統(tǒng)需要應(yīng)用非線性動(dòng)力學(xué)理論研究其振動(dòng)特性，鑒于此，行星齒輪傳動(dòng)系統(tǒng)均載及非線性動(dòng)力學(xué)特性已成當(dāng)前研究的熱點(diǎn)和難點(diǎn)問題。本文以封閉差動(dòng)人字齒輪傳動(dòng)（大型艦船主減速器）為研究對(duì)象，通過研究其均載及非線性動(dòng)態(tài)特性，為該傳動(dòng)系統(tǒng)的設(shè)計(jì)提供理論和技術(shù)支持。 在傳動(dòng)系統(tǒng)的嚙合與切向剛度研究中，確定了傳動(dòng)系統(tǒng)兩級(jí)嚙合齒輪的各種相位關(guān)系，，引入基于齒輪副瞬時(shí)總接觸線長(zhǎng)度推導(dǎo)出的斜齒輪時(shí)變嚙合剛度公式按剛度并聯(lián)方式計(jì)算人字齒時(shí)變嚙合剛度，分析了人字齒輪嚙合剛度波動(dòng)小的原因。應(yīng)用材料力學(xué)原理計(jì)算由單位載荷引起的輪齒位移即柔度，進(jìn)而確定中間浮動(dòng)構(gòu)件人字齒輪接觸切向剛度。 在傳動(dòng)系統(tǒng)的齒輪誤差等效位移研究中，采用簡(jiǎn)諧函數(shù)推導(dǎo)了偏心誤差、齒頻誤差轉(zhuǎn)化到齒輪副嚙合線上的等效位移公式；提出了一種齒輪傳動(dòng)幾何誤差轉(zhuǎn)化為嚙合線上的等效位移計(jì)算方法，按此方法推導(dǎo)出了傳動(dòng)系統(tǒng)兩級(jí)各齒輪安裝誤差轉(zhuǎn)化到嚙合線等效位移的計(jì)算公式，進(jìn)而建立了傳動(dòng)系統(tǒng)兩級(jí)各齒輪誤差轉(zhuǎn)化到嚙合線上等效位移的完整公式體系。 在傳動(dòng)系統(tǒng)的靜力學(xué)均載特性研究中，建立了包含中間浮動(dòng)構(gòu)件的封閉差動(dòng)人字齒輪傳動(dòng)系統(tǒng)靜力學(xué)計(jì)算模型；確定了傳動(dòng)系統(tǒng)靜力學(xué)均載系數(shù)計(jì)算公式，計(jì)算了傳動(dòng)系統(tǒng)的靜力學(xué)均載系數(shù)；分析了傳動(dòng)系統(tǒng)主要參數(shù)對(duì)傳動(dòng)系統(tǒng)靜力學(xué)載荷分配的影響，獲得主要參數(shù)對(duì)傳動(dòng)系統(tǒng)靜力學(xué)均載特性的影響規(guī)律。 在傳動(dòng)系統(tǒng)的動(dòng)力學(xué)均載特性研究中，考慮了齒輪重量、時(shí)變嚙合剛度、各種誤差的影響，建立了包含中間浮動(dòng)構(gòu)件的封閉差動(dòng)人字齒輪傳動(dòng)系統(tǒng)動(dòng)力學(xué)計(jì)算模型；把動(dòng)力學(xué)方程線性化，采用傅立葉級(jí)數(shù)法求解；確定了傳動(dòng)系統(tǒng)動(dòng)力學(xué)均載系數(shù)計(jì)算公式，計(jì)算了傳動(dòng)系統(tǒng)的動(dòng)力學(xué)均載系數(shù)；分析了傳動(dòng)系統(tǒng)主要參數(shù)對(duì)傳動(dòng)系統(tǒng)動(dòng)力學(xué)載荷分配的影響，獲得封閉差動(dòng)人字齒輪傳動(dòng)系統(tǒng)動(dòng)力學(xué)均載特性的變化規(guī)律。 在傳動(dòng)系統(tǒng)的動(dòng)力學(xué)浮動(dòng)特性研究中，建立了封閉差動(dòng)人字齒輪傳動(dòng)系統(tǒng)動(dòng)態(tài)浮動(dòng)量的計(jì)算方法，計(jì)算了傳動(dòng)系統(tǒng)兩級(jí)各齒輪動(dòng)力學(xué)浮動(dòng)量，分析了傳動(dòng)系統(tǒng)的各種參數(shù)對(duì)傳動(dòng)系統(tǒng)動(dòng)力學(xué)浮動(dòng)量的影響。獲得封閉差動(dòng)人字齒輪傳動(dòng)系統(tǒng)動(dòng)力學(xué)浮動(dòng)特性的變化規(guī)律。 在傳動(dòng)系統(tǒng)的非線性動(dòng)力學(xué)特性研究中，建立了多齒側(cè)間隙、時(shí)變嚙合剛度的封閉差動(dòng)人字齒輪傳動(dòng)系統(tǒng)的多自由度扭轉(zhuǎn)非線性動(dòng)力學(xué)方程；應(yīng)用Newmark數(shù)值法求解非線性動(dòng)力學(xué)微分方程組，得到了傳動(dòng)系統(tǒng)的非線性動(dòng)態(tài)響應(yīng)結(jié)果；綜合運(yùn)用位移響應(yīng)時(shí)間歷程圖、嚙合力響應(yīng)時(shí)間歷程圖、相圖、龐加萊截面，分析了齒側(cè)間隙、時(shí)變嚙合剛度、阻尼、綜合誤差對(duì)封閉差動(dòng)人字齒輪傳動(dòng)系統(tǒng)非線性動(dòng)態(tài)特性的影響；獲得了齒側(cè)間隙、時(shí)變嚙合剛度、阻尼、綜合誤差對(duì)嚙合輪齒的受力、運(yùn)動(dòng)狀態(tài)的影響規(guī)律。
[Abstract]:Load balance assignment is particularly important for improving the life of planetary gear transmission system, increasing the reliability and reducing vibration. The strong non-linear planetary gear transmission system needs to apply nonlinear dynamics theory to study its vibration characteristics. In view of this, Both the load and nonlinear dynamics of the planetary gear transmission system have become the hot and difficult problems of the current research. This paper presents theoretical and technical support for the design of the transmission system by studying its both load and non-linear dynamic characteristics. In the study of the meshing and tangential stiffness of the transmission system, the phase relation of the two-stage meshing gears of the transmission system is determined, the time-varying meshing stiffness formula of the helical gear derived from the length of the instantaneous total contact line of the gear pair is introduced, and the time-varying engagement of the herringbone teeth is calculated according to the rigidity parallel mode. The stiffness of the meshing stiffness of herringbone gears is analyzed. Based on the principle of material mechanics, the displacement of gear teeth caused by unit load is calculated, and then the contact tangential direction of the middle floating member's herringbone gear is determined. In the study of the equivalent displacement of the gear error of the transmission system, the equivalent displacement formula of the eccentric error and the tooth frequency error into the gear sub-engagement line is derived by using the spline function, and a gear transmission geometric error is proposed to be converted into the equivalent position on the meshing line. The calculation formula of the equivalent displacement of each gear in the transmission system is derived according to the method, and then the equivalent displacement of each gear error of the transmission system to the meshing line is established. In the static load characteristic study of the transmission system, the static calculation model of the closed differential moving word gear transmission system including the intermediate floating member is established, the calculation formula of the static load coefficient of the transmission system is determined, and the transmission system is calculated. The statics load coefficient of the transmission system is analyzed, the influence of main parameters of the transmission system on the static load distribution of the transmission system is analyzed, and the statics of the main parameters on the transmission system are obtained. The influence of gear weight, time-varying meshing stiffness and various kinds of errors is taken into account in the study of dynamic load characteristics of the transmission system, and the dynamic calculation model of the transmission system with closed and moving characters including the intermediate floating member is established. In this paper, the dynamics equations are linearized and the Fourier series method is used to solve the dynamic equations of the transmission system. The dynamic load coefficient of the transmission system is calculated. The main parameters of the transmission system are analyzed. The influence of the distribution of the dynamic load of the system is affected by the dynamic load distribution of the system, and the transmission system of the closed and moving word gear is obtained. In the study of dynamics floating characteristic of transmission system, a calculation method of dynamic floating quantity of the transmission system of closed and moving word gear transmission system is established, and the floating quantity of each gear in the two-stage transmission system is calculated, and various parameters of the transmission system are analyzed. The influence of the dynamic floating quantity of the transmission system on the dynamic floating quantity of the transmission system is obtained. In this paper, a multi-degree-of-freedom torsional nonlinear dynamic equation of a closed-difference moving-word gear transmission system with multi-tooth-side clearance and time-varying meshing stiffness is established in the study of the nonlinear dynamics of the transmission system. k numerical method is used to solve the nonlinear dynamic differential equation group, and the nonlinear dynamic response result of the transmission system is obtained; a displacement response time history diagram, an engagement force response time history diagram, a phase diagram and a Ponincare section are comprehensively applied; The influence of tooth-side clearance, time-varying meshing stiffness, damping and comprehensive error on nonlinear dynamic characteristics of closed-difference moving-word gear transmission system are analyzed.
【學(xué)位授予單位】：南京航空航天大學(xué)
【學(xué)位級(jí)別】：博士
【學(xué)位授予年份】：2013
【分類號(hào)】：TH132.41

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