| 单自由度无阻尼Duffing方程的近似周期解 |
| |
| 引用本文： | 王斌. 单自由度无阻尼Duffing方程的近似周期解[J]. 绵阳师范学院学报, 2011, 30(8) |
| |
| 作者姓名： | 王斌 |
| |
| 作者单位： | 兴义民族师范学院数学系,贵州兴义,562400 |
| |
| 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。
|
| 关 键 词： | 非线性振动 Duffing方程 何氏频率-振幅公式 数值模拟 |
Approximate Periodic Solution to Undamped Duffing Equations with Single Degree of Freedom |
| |
| WANG Bin. Approximate Periodic Solution to Undamped Duffing Equations with Single Degree of Freedom[J]. Journal of Mianyang Normal University, 2011, 30(8) |
| |
| Authors: | WANG Bin |
| |
| Affiliation: | WANG Bin(Dept.of Mathematics,Xingyi Normal University for Nationalities,Xingyi,Guizhou 562400) |
| |
| Abstract: | 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. |
| |
| Keywords: | nonlinear vibration Duffing equations Mr.He's frequency-amplitude formula numerical simulation |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
