1. School of Control and Mechanical Engineering, Tianjin Chengjian University, Tianjin 300384, China
2.School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, China
Abstract：The spindle system of a CNC lathe was simplified based on the lump-mass method，and a vibration model with ten freedom degrees including the stiffness, damping, eccentric mass and nonlinear contact force of combined rolling bearings was established.The numerical results of the vibration differential equation of the spindle-bearing system were obtained by Runge-Kutta method.The randomness of the related parameters influencing the spindle vibration was considered.The vibration amplitude of the spindle centre at the axis end was utilized as an index to evaluate the reliability of spindle vibration.A combination method of Kriging and Monte Carlo(AK-MCS) was used to calculate the reliability of spindle vibration.The results show that the failure probabilities calculated by the AK-MCS algorithm and direct Monte Carlo respectively are almost equal, but the AK-MCS algorithm has a higher computational efficiency.This further illustrates that the AK-MCS algorithm is accurate and efficient, and that the method is applicable to calculate the reliability of a strongly nonlinear system.
冯吉路1,孙志礼2,赵坚1,张婧1, 梁春芳1. 基于AK-MCS法的主轴系统振动可靠性分析[J]. 振动与冲击, 2019, 38(18): 135-140.
FENG Jilu1,SUN Zhili2，ZHAO Jian1，ZHANG Jing1，LIANG Chunfang1. Vibration reliability analysis on a spindle system based on AK-MCS method. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(18): 135-140.
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