【摘要】：SGM弧齒錐齒輪作為航空機(jī)械中的重要傳動部件,其性能對于整機(jī)的穩(wěn)定工作有著較大的影響,尤其是其在動力學(xué)響應(yīng)中的表現(xiàn)直接影響了工作壽命,噪聲以及航空整機(jī)的安全。時變嚙合剛度是齒輪及齒輪系統(tǒng)動力學(xué)研究的前提和基礎(chǔ),所以研究載荷對SGM弧齒錐齒輪力學(xué)和傳動性能的影響以及單齒時變嚙合剛度對于SGM弧齒錐齒輪的發(fā)展和進(jìn)步有著非常重要的作用。 本文基于CATIA三維建模功能,通過虛擬加工和曲面擬合獲得精確的幾何模型。利用ABAQUS軟件的有限元功能對精確的齒輪幾何模型進(jìn)行加載接觸分析,通過接觸應(yīng)力、齒根彎曲應(yīng)力、傳動誤差曲線、重合度等分析結(jié)果,研究載荷對SGM齒輪力學(xué)與傳動性能的影響。 以齒輪的加載接觸分析為基礎(chǔ),計(jì)算單齒時變嚙合剛度在嚙合周期中變化的離散數(shù)值,利用MATLAB提供的回歸工具,擬合出SGM齒輪單齒時變嚙合剛度的曲線圖,并以非線性的回歸理論為基礎(chǔ)得到單齒嚙合剛度與小輪轉(zhuǎn)角之間的計(jì)算公式,確定在齒輪的嚙合過程中,單齒時變嚙合剛度呈拋物線型的變化。 通過理論分析與實(shí)例驗(yàn)證的方式確定了滾比修正對于SGM齒輪單齒嚙合剛度的影響是：齒面修正達(dá)到±1%時,剛度的變化不到5%。并最后確定小輪齒數(shù),大輪齒數(shù),端面模數(shù)作為單齒嚙合剛度時變特征系數(shù)的影響因子。 根據(jù)統(tǒng)計(jì)學(xué)中三因子拉丁方試驗(yàn)設(shè)計(jì)的理論基礎(chǔ),針對設(shè)計(jì)參數(shù)小輪齒數(shù)z1、大輪齒數(shù)z2和端面模數(shù)m對SGM弧齒錐齒輪單齒嚙合剛度時變特性系數(shù)的影響,進(jìn)行了三因子試驗(yàn)的部分實(shí)施。對試驗(yàn)結(jié)果數(shù)據(jù)進(jìn)行分析處理,利用多元非線性回歸的方法得出針對這三個主要設(shè)計(jì)參數(shù)的時變嚙合剛度估算公式,并驗(yàn)證其精度。
[Abstract]:As an important transmission part in aeronautical machinery, the performance of SGM spiral bevel gear has a great influence on the stability of the whole machine, especially its performance in the dynamic response directly affects the working life, noise and the safety of the aircraft. The time-varying meshing stiffness is the premise and foundation of the research on gear and gear system dynamics. Therefore, it is very important for the development and progress of SGM spiral bevel gear to study the influence of load on the mechanical and transmission performance of SGM spiral bevel gear and the time-varying meshing stiffness of single tooth. Based on the 3D modeling function of CATIA, the accurate geometric model is obtained by virtual machining and surface fitting. Using the finite element function of ABAQUS software, the accurate gear geometry model is analyzed by loading contact analysis. The results of contact stress, tooth root bending stress, transmission error curve, coincidence degree, etc. The effect of load on the mechanical and transmission performance of SGM gears is studied. Based on the load contact analysis of gears, the discrete values of time-varying meshing stiffness of single tooth during the meshing period are calculated. By using the regression tool provided by MATLAB, the curve of time-varying meshing stiffness of SGM gear with single tooth is fitted. On the basis of nonlinear regression theory, the calculation formula between single tooth meshing stiffness and wheel rotation angle is obtained. It is determined that the time-varying meshing stiffness of single tooth changes with parabola in the course of gear meshing. The effect of roll ratio modification on the meshing stiffness of SGM gear is determined by theoretical analysis and practical example. When the tooth surface correction reaches 鹵1, the stiffness change is less than 5 parts. Finally, the number of gear teeth, the number of teeth of large wheels and the modulus of the end face are determined as the influence factors of the time-varying characteristic coefficients of the meshing stiffness of single teeth. According to the theoretical basis of three factors Latin square test design in statistics, the effects of design parameters such as small gear tooth number z1, large gear tooth number z2 and end face modulus m on the time-varying characteristic coefficient of meshing stiffness of SGM arc bevel gear are studied. The partial implementation of the three-factor test was carried out. The experimental data are analyzed and processed, and the estimation formula of time-varying meshing stiffness for these three main design parameters is obtained by using the method of multivariate nonlinear regression, and its accuracy is verified.
【學(xué)位授予單位】：中南大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2012
【分類號】：TH132.41

【引證文獻(xiàn)】

相關(guān)博士學(xué)位論文 前1條

1 王立華;汽車螺旋錐齒輪傳動耦合非線性振動研究[D];重慶大學(xué);2003年

，

本文編號：2374340