摘要
针对机电集成超环面传动过程中存在啮合齿对数周期性变化现象,考虑啮合刚度时变特性建立系统参数动力学模型及微分方程,据Floquet理论推导系统稳定性判断因子表达式,给出机电设计参数对系统稳定性影响规律。采用数值积分方法证实系统存在多个共振频率:固有频率共振、啮合频率及组合频率共振,给出各共振情况下频域响应曲线。结果表明,系统发生共振时除外激励频率成分外,亦含各阶固有频率及固有频率与啮合频率的组合频率成分,且啮合频率共振与组合频率共振振幅最大频率发生在系统固有频率处,非外激励频率处。稳定性及强迫响应规律可为系统结构及机电参数设计提供理论依据。
There are periodic changes of meshing teeth in an electromechanical integrated toroidal drive Considering time-varying meshing stiffness, the dynamic model and differential equations of motion for the parametric vibration of the system were established. According to the theory of Floquet, the judging factor expression for the system stability was derived, and the influence laws of mechanical and electrical design parameters on the system stability were deduced. Then, multi-frequency resonances were revealed with the numerical integral method for the parametric vibration system, i. e., natural frequencies resonances, meshing frequencies and combination frequencies resonances, and the corresponding frequency response curves were obtained. The results showed that except the component of excitation frequency, the component of natural frequencies and combination frequencies between natural frequencies and meshing frequencies exist in the system resonances; the frequencies of the maximum amplitude are located at the natural frequencies, not at external excitation frequency. System stability and forced response laws provided a theoretical basis for designing of structure, and mechanical and electrical parameters.
出处
《振动与冲击》
EI
CSCD
北大核心
2013年第22期113-118,134,共7页
Journal of Vibration and Shock
基金
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)
关键词
机电集成
超环面
参数振动
稳定性
频域响应
electromechanical integration
toroidal drive
parametric excitation
stability
frequency response
