【摘要】 采用增量谐波平衡方法导出强迫Van der Pol振子稳态周期响应的IHB计算格式.以外激励频率为参数进行跟踪延续获得了系统主共振时的幅频响应特性,并作出了特定系统参数下的周期响应极限环.其结果与Runge-Kutta方法进行了对比,结果表明该算法精度可以灵活控制,且收敛速度快,结果可靠,是非线性电路系统等工程应用中强非线性问题动力学特性分析的有效方法.更多还原

【Abstract】 An IHB computation scheme of the periodic solutions of the forced Van der Pol equation is derived, with its frequency amplitude response property being analyzed by a tracing and parametric continuation procedure. The numerical simulation of the steady limit cycle by the IHB method is compared with Runge-Kutta method, which shows that the IHB method is an effective way of analyzing both weak and strong nonlinear problems in engineering practice.更多还原