%0 Journal Article %T 对角修形对斜齿轮系统准静态及动态特性的影响研究<br>Effect of Cross Modification on the Quasi-Static and Dynamic Characteristics of Helical Gear System %A 袁冰 %A 常山 %A 吴立言 %A 刘更 %A 陈策 %J 西北工业大学学报 %D 2017 %X 基于齿面承载接触分析方法,建立了斜齿轮副啮合刚度和轮齿修形耦合非线性激励计算模型,研究了对角修形对齿面载荷分布、综合啮合刚度以及承载传递误差的影响。基于Timoshenko梁理论建立了考虑轴段变形的斜齿轮-转子-轴承系统广义有限元模型,通过分离系统传递误差激振力,将系统参变微分方程组转化为定常微分方程组,实现了快速求解。以传递误差激振力波动量最小为优化目标,采用图解法得到了最佳对角修形参数。研究表明:对于修形齿轮副,啮合刚度波动量并不是影响齿轮传动系统振动的主导因素,传递误差激振力波动量的大小决定了系统振动的剧烈程度;对角修形不仅对轮齿刚度的削弱程度较小,而且可以显著降低动态传递误差均方根值和轴承动载荷波动量,进而降低系统振动噪声。<br>A nonlinear excitation model coupling mesh stiffness and tooth modification is established based on loaded tooth contact analysis method. The effects of cross modification on load distribution, mesh stiffness and loaded transmission error of helical gear are investigated. Considering shaft deflection, a generalized finite element model of helical-rotor-bearing system is developed based on Timoshenko beam theory. By separating transmission error exciting force, the differential equation with variable coefficients is transformed into ordinary differential equation, so the equation is solved fast. The best cross modification parameters are obtained based on graphical method with the objective of minimum of fluctuation of transmission error exciting force. The results show that mesh stiffness fluctuation is not the dominant factor affecting the vibration of gear transmission with modification, the system vibration is determined by the fluctuation of transmission error exciting force, and the cross modification not only weakens the gear mesh stiffness less, but also decreases the mean square error of dynamic transmission error and the fluctuation of dynamic bearing load significantly, thereby reduces gear transmission vibration and noise %K 斜齿轮 %K 对角修形 %K 啮合刚度 %K 传递误差 %K 轴承动载荷 %K 傅里叶级数 %K 均方差< %K br> %K helical gear %K cross modification %K mesh stiffness %K transmission error %K dynamic bearing load %K Fourier series %K mean square error %U http://journals.nwpu.edu.cn/xbgydxxb/CN/abstract/abstract6753.shtml