本文關(guān)鍵詞： 弧齒錐齒輪 建模 有限元 接觸分析 ANSYS 扭轉(zhuǎn)角　出處：《浙江大學(xué)》2011年碩士論文　論文類型：學(xué)位論文

【摘要】：弧齒錐齒輪由于承載能力大,重合度大,平穩(wěn)傳遞載荷,在高速傳動時明顯地減少噪聲和振動,可以獲得很大的傳動比,對安裝誤差敏感性小,因而得到非常廣泛的應(yīng)用。本文以某發(fā)射裝置末級傳動系統(tǒng)中的弧齒錐齒輪為研究對象,運用MATLAB、VB、SolidWorks和ANSYS等工具,對其接觸問題進行了研究。本文主要研究內(nèi)容如下： 1.基于齒輪嚙合原理和局部共軛原理,按照平頂產(chǎn)形輪加工原理及加工過程中之間的相對位置關(guān)系,建立了刀具坐標系、機床坐標系、工件坐標系等坐標系,詳細地推導(dǎo)了各坐標系之間的矩陣轉(zhuǎn)換,通過產(chǎn)形面和齒面嚙合方程分別確定了大輪和小輪的齒面方程。分析比較了曲面不同參數(shù)的選擇,確定了合適的參數(shù)來表示齒面方程,以方便其在MATLAB中實現(xiàn),為后續(xù)建立弧齒錐齒輪模型奠定了基礎(chǔ)。 2.根據(jù)推導(dǎo)的齒面方程,運用MATLAB編程計算出齒面上的數(shù)據(jù)點,導(dǎo)入SolidWorks,基于SolidWorks API技術(shù),利用VB編程創(chuàng)建輪齒曲面,運用曲面裁剪、縫合等操作,創(chuàng)建一個輪齒,最后陣列切除形成完整齒輪,建立了大小輪的精確三維模型,按嚙合關(guān)系裝配,為后面有限元分析提供基礎(chǔ)。利用VB編程檢驗插值曲面,以保證齒面誤差符合有限元分析的要求。 3.結(jié)合建立的弧齒錐齒輪精確模型,在ANSYS軟件中建立了弧齒錐齒輪的有限元模型,試劃分網(wǎng)格得到理想的網(wǎng)格密度,試驗驗證取得合理的FKN值,分析了弧齒錐齒輪在同一嚙合位置下不同載荷下的接觸情況,得出了不同載荷作用下的接觸區(qū)變化關(guān)系曲線,分析了大小輪的齒根應(yīng)力,得到了接觸應(yīng)力和主應(yīng)力沿齒向分布曲線。特別是首次得到了輸入力矩與小弧齒錐齒輪扭轉(zhuǎn)角之間的函數(shù)關(guān)系,這一結(jié)論可用于精確控制某發(fā)射裝置。分析了一個嚙合周期內(nèi)的弧齒錐齒輪的嚙合狀況。 4.針對弧齒錐齒輪在加工和安裝過程中存在的三種誤差,分別分析了齒圈軸向位移偏差ΔfAM、軸間距偏差ΔfA、軸交角偏差ΔE∑三種安裝誤差對弧齒錐齒輪傳動過程中的接觸狀態(tài)、應(yīng)力應(yīng)變的變化情況的影響。
[Abstract]:Because of its large bearing capacity, high coincidence and steady load transfer, the spiral bevel gear can obviously reduce the noise and vibration in high speed transmission, so it can obtain a very large transmission ratio and is less sensitive to the installation error. Therefore, it has been widely used. In this paper, the contact problem of spiral bevel gear in the last stage transmission system of a launcher is studied by means of MATLAB, VB, SolidWorks and ANSYS. The main contents of this paper are as follows:. 1. Based on the gear meshing principle and the local conjugate principle, according to the machining principle of flat-top production wheel and the relative position relation between the machining process, the coordinate system of tool, machine tool, workpiece and so on are established. The matrix transformation between the coordinate systems is derived in detail. The tooth surface equations of the large and small wheels are determined by the meshing equations of the generating surfaces and the tooth surfaces, respectively. The selection of different parameters of the surfaces is analyzed and compared, and the appropriate parameters are determined to represent the tooth surface equations. In order to facilitate its implementation in MATLAB, it lays a foundation for the subsequent establishment of arc bevel gear model. 2.According to the derived tooth surface equation, the data points on the tooth surface are calculated by MATLAB programming, and imported into SolidWorks.Based on SolidWorks API technology, the tooth surface is created by VB programming, and a gear tooth is created by cutting and suturing the tooth surface, etc. Finally, the complete gear is obtained by array excision, and the accurate three-dimensional model of the wheel is established, which is assembled according to the meshing relation, which provides the foundation for the finite element analysis behind. The interpolation surface is tested by VB programming. In order to ensure that the tooth surface error meets the requirements of finite element analysis. 3. The finite element model of spiral bevel gear is established in ANSYS software. The ideal mesh density is obtained by mesh division, and the reasonable FKN value is verified by experiments. The contact condition of arc bevel gear under different loads at the same meshing position is analyzed. The curve of contact zone variation under different loads is obtained, and the tooth root stress of large and small wheel is analyzed. The distribution curves of contact stress and principal stress along the tooth direction are obtained, especially the functional relationship between the input moment and the torsional angle of the bevel gear with small arc teeth is obtained for the first time. This conclusion can be used to control an emitter accurately. The meshing condition of a spiral bevel gear in a meshing period is analyzed. 4. Aiming at the three kinds of errors existing in the process of machining and installation of spiral bevel gears, the contact state of three kinds of installation errors in the transmission process of spiral bevel gears are analyzed respectively, such as axial displacement deviation 螖 f AM, axial spacing deviation 螖 f A, axis intersection angle deviation 螖 E 鈭，

本文編號：1525509