实时无隙钢球精密传动平移扭转耦合振动分析

发布时间：2018-04-21 09:24

本文选题：钢球精密传动 + 啮合刚度　；参考：《燕山大学》2016年硕士论文

【摘要】：实时无隙钢球精密传动是在摆线钢球行星传动的基础上发展而来的一种更新颖、精密的传动形式,进而其动力学特性更为复杂。本文针对实时无隙钢球精密传动的动力学性能,对啮合副啮合刚度及载荷特性、传动系统固有特性、动态特性等方面进行了较为深入的研究应用数值方法求解空间点接触赫兹问题,求解出赫兹接触系数。以偏心轴输入轴转角为参变量,求得各啮合副啮合刚度系数曲线,进而得到行星盘转角变形曲线。基于转角变形,对啮合副啮合刚度系数进行等效简化。采用钢球啮合副四点接触受力理论,通过构造轴向预紧力以及周向的力矩平衡方程求解出摆线钢球啮合副和环形槽钢球啮合副的啮合力,并与两点接触受力理论进行了比较,并对传动系统的四个变形量进行了分析。建立了实时无隙钢球精密传动系统在偏心轴随动参考坐标系下的平移—扭转耦合四自由度振动模型。通过分析各啮合力间的相对位置关系,推导出系统的运动微分方程和动力学方程,对动力学方程中啮合副啮合系数进行时域分析,并应用快速傅里叶变换对合副啮合系数进行了频域分析,得到其频谱成分。研究了实时无隙钢球精密传动系统的动态特性问题,求解出参数振动派生系统的固有特性,并分析了外力矩等参数对派生系统固有频率的影响;采用数值算法分析参数振动的稳定性,并绘制出稳定区间与阻尼的关系图;采用谐波平衡法,基于载荷的不同形式对实时无隙钢球精密传动系统参数振动的稳态响应进行了分析。
[Abstract]:The real-time gap-free steel ball precision transmission is a new and precise transmission form based on cycloidal steel ball planetary transmission, and its dynamic characteristics are more complex. In this paper, according to the dynamic performance of real time gap-free steel ball precision transmission, the meshing stiffness and load characteristics of meshing pair and the inherent characteristics of transmission system are discussed. In this paper, the numerical method is used to solve the spatial point contact Hertz problem, and the Hertz contact coefficient is obtained. The stiffness coefficient curve of each meshing pair is obtained by using the input axis angle of the eccentric axis as the parameter variable, and the angular deformation curve of the planetary disk is obtained. Based on the angle deformation, the equivalent simplification of the meshing stiffness coefficient of the meshing pair is carried out. Based on the four-point contact force theory of steel ball meshing pair, the engagement force of cycloidal steel ball meshing pair and ring channel steel ball meshing pair is solved by constructing axial pretightening force and circumferential moment equilibrium equation, and the results are compared with that of two-point contact force theory. The four deformations of the transmission system are analyzed. In this paper, a four-degree-of-freedom vibration model of a real-time gap-free steel ball precision transmission system in a reference coordinate system of eccentric axis is established, which is coupled with translation and torsion. By analyzing the relative position relationship between the meshing forces, the differential equation of motion and the dynamic equation of the system are derived, and the meshing coefficient of the meshing pair in the dynamic equation is analyzed in time domain. The fast Fourier transform involutive pair meshing coefficient is analyzed in frequency domain and the spectrum component is obtained. In this paper, the dynamic characteristics of the real-time gap-free steel ball precision transmission system are studied, the inherent characteristics of the parametric vibration derivative system are solved, and the influence of the external torque on the natural frequency of the derived system is analyzed. The stability of parameter vibration is analyzed by numerical algorithm, and the relation diagram between stability interval and damping is drawn, and the harmonic balance method is used. Based on the different forms of load, the steady state response of parameter vibration of real time seamless steel ball precision transmission system is analyzed.
【学位授予单位】：燕山大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：TH132.4

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