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基于Bernoulli-Euler梁有限元理论建立机床弹性轴动力学模型,应用MATLAB进行数值计算与仿真,求得弯曲振动固有频率与振型,通过实例与理论精确解比较,分析了有限元法计算精度,为机床系统动态设计与振动控制提供参考依据。
Based on the finite element theory of Bernoulli-Euler beam, the dynamic model of the elastic axis of the machine tool is established, and the numerical calculation and simulation are carried out by using MATLAB. The natural frequencies and mode shapes of the bending vibration are obtained. By comparing the example with the theoretical exact solution, Provide reference for dynamic design and vibration control of machine tool system.