基于传递矩阵法的提花机主轴动态特性分析

Analyzing transmission shaft dynamic character of jacquard machine by using transfer matrix method

为了优化TM电子提花机主轴结构设计,以减小主轴在高速转动时的振动,在传递矩阵法的基础上提出整体传递矩阵法,并将整体传递矩阵理论应用于提花机主轴的振动特性分析。通过主轴动力学模型的分析,对高速电子提花机主轴的临界速度及其振型进行理论推导与计算,找出主轴的前几阶固有频率及与之相对应的主振型。根据计算结果对比分析,整体传递矩阵法计算精度更高,且保持了传递矩阵法编程简单,计算工作量小和运算速度快的特点。该分析计算方法对其他类型提花机主轴的设计及类似的复合转子系统的动态特性分析具有较好的参考价值。

For optimizing the structure design of TM electronic jacquard machine transmission shaft and minimizing the vibration of transmission shaft during the high speed rotates, the integrated transfer matrix method is suggested on the basis of transfer matrix method, applying integrated transfer matrix theory to analysis of the dynamic character of jacquard machine transmission shaft. Through analyzing the dynamic model of the transmission shaft, theoretical derivation and calculation of the critical speed and the vibrating model of high-speed electronic jacquard machine transmission shaft are performed, finding out the inherent natural frequencies and the relative main vibration model. The results show that the integrated transfer matrix is higher in computational accuracy while retaining such advantages of conventional transfer matrix as easy to program, small workload and high operating speed. The calculation method is useful to the design of high-speed jacquard machine transmission shaft and the analysis of other complex rotor system.