摘要
利用Ｍｅｌｎｉｋｏｖ函数讨论了物理问题中常见的具有弱阻尼与硬弹簧的Ｄｕｆｆｉｎｇ方程的周期解的存在性，以及由受迫频率的变化而导致的次谐波振动，给出了参数区域的精确估计，从而给物理实验分析和工程技术应用提供有用参考。
This paper discussed the existence of periodic solution of Duffing eguation in weak damping system and hard spring,and second-harmonic wave vibration produced by frequency variance of forced vibration,using Melnikov function,concise estimation of parameter range was also given. These results provided some useful references for analyses of physics experiments and applications of engineering and technology.
出处
《湖北大学学报（自然科学版）》
CAS
1995年第2期161-167,共7页
Journal of Hubei University：Natural Science
关键词
次谐波
分岔
杜芬方程
非线性振动
Nonlinear Second-harmonic Bifurcation Melnikov function
