摘要
用奇异摄动理论中的推广平均法，讨论了非自治系统Ｄｕｆｉｎｇ方程的受迫振动问题。给出了其在硬激励和软激励情况下的一阶近似解和共振情况下的频率响应方程。
The problems of forced vibration of duffing equation of non-autonomous system are discussed by use of the generalized average method in singular perturbation theorem.And the first order approximate solution in the cases of hard excitation and soft excitation and the frequency resonance equation in the case of resonance are given.
