单自由度无阻尼Duffing方程的近似周期解  

Approximate Periodic Solution to Undamped Duffing Equations with Single Degree of Freedom

作　　者：王斌[1] 

机构地区：[1]兴义民族师范学院数学系,贵州兴义562400

出　　处：《绵阳师范学院学报》2011年第8期1-4,8,共5页Journal of Mianyang Teachers＇ College

摘　　要：对于非线性振动中常见的无阻尼Duffing方程,通过何氏频率-振幅公式,给出了一种简单,直接的解法,所得的解具有较高精度,数值模拟表明解法是有效的,具有一定应用价值。This paper is to introduce a simple,direct means of solving the undamped Duffing equations in nonlinear vibration,by using Mr.He＇s frequency-amplitude formula,the solution is highly precise,and the method of solving is effective and worthwhile in accordance with numerical simulations.

关 键 词：非线性振动 DUFFING方程 何氏频率-振幅公式 数值模拟 

分 类 号：O175.12[理学—数学]