基于传递矩阵与有限元法对陶瓷电主轴转子动态特性的分析

目的求解170SD30-SY无内圈陶瓷电主轴转子的固有频率，分析转子动态特性．方法利用Prohl传递矩阵法、有限元法对陶瓷电主轴转子进行了固有频率的计算和仿真分析，并绘制位移与频率、刚度与频率曲线，对陶瓷电主轴转子动态特性进行分析．结果通过Prohl传递矩阵法求解的结果与有限元仿真结果对比，固有频率误差最大为12％，有限元分析得出转子前四阶振型，主轴前端振动范围及刚度与固有频率的变化趋势，从而便于研究预紧与振动之间的关系．结论通过计算与仿真验证，证实两种方法的可行性及有限元法便于求解分析，得出陶瓷电主轴的固有频率高于普通钢轴，增加刚度有利于固有频率的提高，为陶瓷电主轴转子的动态特性分析提供充分依据．

Analysis of Ceramic Motorized Spindle Rotor Dynamic Characteristics Based on Transfer Matrix and Finite Element Method

In order to solve natural frequency of 170SD30-SY without inner ceramic spindle rotor and to analyze rotor dynamic behavior, this paper calculated the natural frequency of spindle rotor and simulated its dynamic process with Prohl transfer matrix method and finite element method, respectively. The displacement and stiffness-frequency curves were obtained and the dynamic characteristics were also analyzed. Compare the results solved by Ptohl transfer matrix method with the results by FEM, the error of natural frequency is up to 12%. Furthermore, the former fourth-order of rotor vibration modes, vibrations of front spindle, variation trend of stiffness and natural frequency were also obtained by FEM. So that it is available for studying the relationship between pretension and vibration. It shows that the two methods are feasible, but the FEM is easy for solving analysis. Results indicate that the natural frequency of ceramic spindle is higher than that of ordinary steel;increase of the stiffness is beneficial to raising natural frequency, which can provide a sufficient basis for dynamic analysis of ceramic rotor spindle.