【摘要】 采用增量谐波平衡法导出强迫Duffing振子稳态响应的IHB计算格式,并作出特定系统参数下的周期响应极限环,其结果与Runge Kutta方法进行对比,表明此法精度可以灵活控制,且收敛速度快,结果可靠,是强非线性问题动力学特性分析的有效方法.同时以外激励频率为参数进行跟踪延续获得系统主共振时的幅频响应特性.更多还原

【Abstract】 An IHB (incremental harmonic balance) computation scheme of the periodic solutions of the forced Duffing equation is derived.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. Based on tracing by using external excition frequency as parameter, the frequency amplitude response property of the system in obtained.更多还原