含外激励van der Pol-Mathieu方程的非线性动力学特性分析1)
NONLINEAR DYNAMIC ANALYSIS OF A VAN DER POL-MATHIEU EQUATION WITH EXTERNAL EXCITATION1)
含外激励van der Pol-Mathieu方程的非线性动力学特性分析1) |
| 黄建亮, 王腾, 陈树辉 |
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NONLINEAR DYNAMIC ANALYSIS OF A VAN DER POL-MATHIEU EQUATION WITH EXTERNAL EXCITATION1) |
| Huang Jianliang, Wang Teng, Chen Shuhui |
| 图3 含外激励van der Pol-Mathieu方程周期响应的频率响应曲线$\omega$ -$A_1$和准周期运动(QP)的频率响应曲线$\omega$ -$\tilde{A}_{1,-1}$, $\omega$ -$\tilde{A}_{1,0}$和$\omega$ -$\tilde{A}_{1,1}$, 其中 $k_1=0.01$, $k_2=0.01$, $k_3=0.05$和$f=0.01$, (b)为(a)中标示区域的放大图 |
| Fig.3 Frequency response curves $\omega$ -$A_1$ of periodic response and $\omega$ -$\tilde{A}_{1,-1}$, $\omega$ -$\tilde{A}_{1,0}$, and $\omega$ -$\tilde{A}_{1,1}$ of quasi-periodic (QP) motion of the van der Pol-Mathieu equation with external excitation with $k_1=0.01$, $k_2=0.01$, $k_3=0.05$, and $f=0.01$, (b) is an enlarged view of a zone highlighted in (a) |
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