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Based on phase-plane orbit analysis, the mathematical model of piecewise-smooth systems of multidegree-of-freedom under the mode coordinate is established. Approximate analytical solution under the physical coordinate of multi-degree-of-freedom self-excited vibration induced by dry friction of piecewise-smooth nonlinear systems is derived by means of average method, the results of which agree with those of the numerical solution. An effective and reliable analytical method investigating piecewise-smooth nonlinear systems of multi-degree-of-freedom has been given. Furthermore, this paper qualitatively analyses the curves about stationary amplitude versus rubbing velocity of hands and versus natural frequency of hands, and about angular frequency versus rubbing velocity of hands. The results provide a theoretical basis for identifying parameters of the system and the analysis of steady region. 相似文献
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建立了电机转子机电耦联的非线性数学模型 ,研究了由电磁力激发的参数振动非线性系统的响应曲线 ,揭示了各种电磁参数及机械参数对共振的影响 .结果表明 ,系统在电磁力作用下存在着 1/2亚谐共振的条件 ,电磁力对稳定区域有明显影响 ,且其线性项和非线性项均能激发参数共振 .同时建立了机电耦联问题的电机系统的稳定性条件 ,并得到了参数域中的稳态共振曲线和运动状态 ,所揭示的动力学现象为定性地控制电机的稳定运行状态提供了理论依据 相似文献
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