机电集成超环面传动系统三重内共振

中国机械工程 ›› 2012, Vol. 23 ›› Issue (24): 2955-2961.

机电集成超环面传动系统三重内共振

郝秀红;许立忠

燕山大学,秦皇岛,066004

出版日期:2012-12-25 发布日期:2013-01-06
基金资助:
国家自然科学基金资助项目(51075350);河北省自然科学基金资助项目(E2012203012)
National Natural Science Foundation of China（No. 51075350）;
Hebei Provincial Natural Science Foundation of China（No. E2012203012）

Three DOF Internal Resonances of Electromechanical Integrating Toroidal Drive System

Hao Xiuhong;Xu Lizhong

Yanshan University,Qinhuangdao,Hebei,066004

Online:2012-12-25 Published:2013-01-06
Supported by:

National Natural Science Foundation of China（No. 51075350）;
Hebei Provincial Natural Science Foundation of China（No. E2012203012）

摘要/Abstract

摘要：

机电集成超环面传动系统是集机、电、控制于一体的新型广义复合机电耦合系统。
针对派生系统多阶固有频率之间接近倍数关系时系统存在内共振现象的问题，建立了包含多重内共振的非线性振动微分方程组。采用多尺度法得到了系统自由振动时域响应曲线，研究了外加激励频率接近派生系统固有频率时的系统振动特性。研究结果表明：内共振的存在使得能量在各模态间相互传递，与不存在内共振的系统相比，各零部件的振幅瞬态衰减速度减缓;当外加激励频率接近派生系统固有频率时，系统各零部件的振动幅值较大，且存在振动中心的偏移。内共振使得系统非线性行为更加复杂，存在更多的共振区域，在系统参数设计时应避免存在内共振。



关键词: 机电集成, 超环面传动, 内共振, 多尺度法, 强迫振动

Abstract:

Electromechanical integrating toroidal drive is a new-style generalized composite transmission,where the power and control are integrated.Considering multiple relations of more natural frequencies in derive system,nonlinear differential equations with multiple internal resonances were presented.
Then,time responses figures of free vibration system were obtained by multiscale method,
and vibration performance were studied when excited frequency was near to a natural
frequency.The results show that energy transfers among modes because of internal resonances,Transient responses of all parts slow decay compared with non-internal resonances.When excited frequency is near to a natural frequency of derive system,amplitudes of
all parts will increase larger,and vibration offsets occur.Nonlinear characteristics
become very complicated and there are more resonance regions,so internal resonances should be avoided during parametric design.

Key words: electromechanical integration, toroidal drive, internal resonance, multiscale method, forced vibration

中图分类号:

TH132

郝秀红, 许立忠. 机电集成超环面传动系统三重内共振[J]. 中国机械工程, 2012, 23(24): 2955-2961.

HAO Xiu-Gong, HU Li-Zhong. Three DOF Internal Resonances of Electromechanical Integrating Toroidal Drive System[J]. China Mechanical Engineering, 2012, 23(24): 2955-2961.

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