Amplitude-Frequency Relationship for Conservative Nonlinear Oscillators with Odd Nonlinearities

被引:32
作者
He J.-H. [1 ]
机构
[1] National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, 199 Ren-Ai Road, Suzhou
关键词
Frequency; Location point; Nonlinear oscillator;
D O I
10.1007/s40819-016-0160-0
中图分类号
学科分类号
摘要
This paper studies a conservative nonlinear oscillator with odd nonlinearities, u ″ + f(u) = 0 , the square of its frequency is f ′ (u i ) , where u i is a location point. A criterion on how to choose a location point is given. Dufffing equation is used as an example to show the accuracy of the prediction. © 2016, Springer India Pvt. Ltd.
引用
收藏
页码:1557 / 1560
页数:3
相关论文
共 4 条
[1]  
He J.H., An improved amplitude-frequency formulation for nonlinear oscillators, Int. J. Nonl. Sci. Num., 9, 2, pp. 211-212, (2008)
[2]  
He J.H., Max-min approach to nonlinear oscillators, Int. J. Nonl. Sci. Num., 9, 2, pp. 207-210, (2008)
[3]  
He J.H., Some asymptotic methods for strongly nonlinear equations, Int. J. Mod. Phys. B, 20, pp. 1141-1199, (2006)
[4]  
He J.H., Nonperturbative Methods for Strongly Nonlinear Problems, (2006)