机电集成电磁蜗杆传动系统参数振动响应

中国机械工程 ›› 2014, Vol. 25 ›› Issue (17): 2295-2299,2304.

机电集成电磁蜗杆传动系统参数振动响应

郝秀红;朱学军;刘霜

燕山大学，秦皇岛，066004

出版日期:2014-09-10 发布日期:2014-09-22
基金资助:
河北省自然科学基金资助项目(E2012203012)

Parameter Vibration Response of Electromechanical Integrated Electromagnetic Worm Drive

Hao Xiuhong;Zhu Xuejun;Liu Shuang

Yanshan University,Qinhuangdao,Hebei,066004

Online:2014-09-10 Published:2014-09-22
Supported by:
Hebei Provincial Natural Science Foundation of China（No. E2012203012）

摘要/Abstract

摘要：

针对机电集成电磁蜗杆传动系统中啮合磁极数的周期性变化规律，推导了电磁啮合刚度傅里叶级数形式的表达式，建立了该机电耦合系统参数振动模型及其相应的线性时变微分方程。采用多尺度法推导了该系统自由振动近似解析解，给出了系统包含固有频率及固有频率与啮合频率的组合频率成分的自由振动、主共振、组合共振时域及频域响应曲线。结果表明：系统发生组合共振时的主导频率为系统的固有频率，系统的组合共振振幅随谐波次数增大而递减。

关键词: 机电集成, 电磁蜗杆, 主共振, 组合共振

Abstract:

Considering the periodic change of meshing pole numbers in an electromechanical integrated electromagnetic worm drive (EIEWD), expression of the electromagnetic meshing stiffness was deduced in form of Fourier series. On the basis of that, the parameter vibration model and the linear time-varying differential equation of EIEWD system were founded. Approximate analytic solution of the free vibration for the drive system was got by multi-scale method. Time domain and frequency domain responses of the free vibration and main resonance were studied, where there were the natural frequency, combination frequency between natural frequency and combination resonance meshing frequency. The results show that the dominant frequency of the combination resonance is the natural frequency of the EIEWD system. Resonance amplitude of combination resonance will decrease with harmonic order increase.

Key words: electromechanical integration, electromagnetic worm, main resonance, combination resonance

中图分类号:

TH113.1

郝秀红, 朱学军, 刘霜. 机电集成电磁蜗杆传动系统参数振动响应[J]. 中国机械工程, 2014, 25(17): 2295-2299,2304.

Hao Xiuhong, Zhu Xuejun, Liu Shuang. Parameter Vibration Response of Electromechanical Integrated Electromagnetic Worm Drive[J]. China Mechanical Engineering, 2014, 25(17): 2295-2299,2304.

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