具时变刚度的相对转动非线性动力系统的周期解问题*

李晓静*; 陈绚青; 严静

doi:10.7498/aps.62.090202

物理学报

具时变刚度的相对转动非线性动力系统的周期解问题*

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李晓静*, 陈绚青, 严静. 2013: 具时变刚度的相对转动非线性动力系统的周期解问题*, 物理学报, null(9): 13-17. doi: 10.7498/aps.62.090202

引用本文:

李晓静*, 陈绚青, 严静. 2013: 具时变刚度的相对转动非线性动力系统的周期解问题*, 物理学报, null(9): 13-17. doi: 10.7498/aps.62.090202

2013: The periodic solution problem of a relative rotation nonlinear dynamic system with time-varying stiffness?, Acta Physica Sinica, null(9): 13-17. doi: 10.7498/aps.62.090202

Citation:

2013: The periodic solution problem of a relative rotation nonlinear dynamic system with time-varying stiffness?, Acta Physica Sinica, null(9): 13-17. doi: 10.7498/aps.62.090202

具时变刚度的相对转动非线性动力系统的周期解问题*

江苏理工学院,数理学院,常州 213001

The periodic solution problem of a relative rotation nonlinear dynamic system with time-varying stiffness?

摘要: 建立了一类具有时变刚度,非线性阻尼力和强迫周期力项的相对转动非线性动力系统.运用Mawhin重合度理论,得到了该模型的周期解存在唯一性结果,推广了已有的结果,并且列举了具体的例子来说明本文的结果是新的.
- 相对转动非线性动力系统 /
- 时变刚度 /
- 周期解 /
- 存在唯一性
Abstract: Firstly, the relative rotation nonlinear dynamic system is established, which contains time-varying stiffness, commonly damping force and compulsive periodic force. Secondly, some results of the existence and uniqueness of periodic solutions of the system are obtained by using the continuation theorem of coincidence degree theory. The significance is that we generalize the results published in the literature. Furthermore, an example is given to illustrate that our results are new.