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应用MATLAB软件研究了Duffing—van der Pol非线性振动系统的数学模型。利用该图形用户界面,可以实现Duffing—van der Pol振子数学模型的初始条件设定、任意参数组合和几何显示功率谱图、相平面轨迹图、Poincaré映射图、位移变化动态模拟图、相轨迹动态图和质量块振动模拟图,可以直观、快速、准确、形象地研究非线性振动出现的各种动力特征,可以全面实现Duffing—van der Pol振动系统的计算机可视化实验和研究。
The mathematical model of Duffing-van der Pol nonlinear vibration system is studied by MATLAB software. The graphical user interface can be used to set the initial conditions of Duffing-van der Pol oscillator mathematical model, any combination of parameters and geometric display power spectrum, phase plane trajectory, Poincaré map, dynamic simulation of displacement changes, phase trajectory dynamics Figure and the mass of the vibration simulation chart, you can intuitively, quickly, accurately and vividly study the various dynamic characteristics of the nonlinear vibration can fully realize the Duffing-van der Pol vibration system of computer visualization experiments and research.