摘要
介绍了电主轴的结构特点,利用传递矩阵法将其简化并进行分段建模,对轴系中典型单元的状态进行了数学描述。针对电主轴的特殊结构,修改了简化模型中部分典型单元的状态向量,得到电主轴的传递矩阵方程(即轴系的频率方程),并以某型号电主轴为例,计算轴系的固有频率和临界转速。同时用有限元分析软件ANSYS建立了电主轴实例的三维模型,并进行模态分析,得到轴系的固有频率和一阶振型,与传递矩阵方程的计算结果基本吻合。这表明所提出的对电主轴轴系频率方程的修改是可行的,而且更接近实际情况,对电主轴的动力学分析有重要的参考价值。
The structural characteristics of motorized spindle were introduced; by the use of transference matrix method let the characteristics be simplified and a sectionalized modeling was car- ried out and the mathematical description was carried through on the status of typical units in the shafting. Directed against the special structure of the motorized spindle the status vector of partial typical units in the simplified model was modified. The transference matrix equation of motorized spindle （namely the frequency equation of shafting） was obtained, and taking a certain typed motorized spin- dle as an example the obtained transference matrix equation was ap- plied to calculate the inherent frequency and critical speed of the shafting. At the same time by applying the finite element analytical software ANSYS, the 3D model of the living example of the motor- ized spindle was established and the modality analysis was carried out. The obtained inherent frequency and the first ordered vibration type were basically coincident with the calculation result of the transference matrix equation. This made clear that the modification on the being advanced frequency equation of the motorized spindle shafting was feasible and furthermore approaches to the practical circumstances and bears important referencing value to the dynamics analysis of the motorized spindle.
出处
《机械设计》
CSCD
北大核心
2008年第7期37-40,共4页
Journal of Machine Design
基金
国家自然科学基金资助项目(50675233)
重庆市重大科技攻关资助项目(CSTC
206AA3010)
重庆市科技攻关资助项目(CSTC
2005AC302910)
关键词
电主轴
传递矩阵
固有频率
临界转速
motorized spindle
transference matrix
inherent frequency
critical rotary speed
