基础振动对离心机平均向心加速度的影响分析

根据基础振动的特征，从刚体运动学的角度，分别建立了基础随机振动和正弦振动对精密离心机平均向心加速度影响的数学模型，进行了理论分析和数值仿真，提出了减小基础振动影响的方法，即通过时间平均可减小随机振动和正弦振动的影响。平均时间延长有利于减小基础振动引入的误差。当平均时间为离心机旋转周期的整数倍时，可部分消除由离心机旋转引起的与转速同频的正弦振动的影响；由于相位差的影响，与离心机转速同频的正弦振动会引入一个系统误差项，该项误差不能通过平均的方式减小，相应的补偿方法还应进一步研究。

Influence of Foundation Vibration on Average Centripetal Acceleration of Precise Centrifuges

The mathematical model is established from the angle of rigid body kinematics based on vibration characteristics, which describes the foundation vibration is how to affect the average centripetal acceleration. And then, the model-based theoretical analysis and numerical simulation is done. The method to reduce the effect of the foundation vibration is put forward. The influence of foundation vibration can be decreased by averaging, and the longer averaging time will make a good result. The influence of sinusoidal vibration caused by centrifuge rotation can be partly eliminated by averaging when time is an integer multiple of the centrifuge rotation period. However, a system error will be introduced to average centripetal acceleration if the frequency of sinusoidal vibration is the same with Centrifuge speed, which can not be eliminated or reduced by averaging, and the appropriate compensation method should be study further.