Approximate Solution for the Duffing-Harmonic Oscillator by the Enhanced Cubication Method

被引：26

作者：

Elias-Zuniga, Alex ^{[1
]}

Martinez-Romero, Oscar ^{[1
]}

Cordoba-Diaz, Renek. ^{[1
]}

机构：

[1] Tecnol Monterrey, Dept Ingn Mecan, Monterrey 64849, NL, Mexico

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2012年 / 2012卷

关键词：

MEAN-SQUARE METHOD; BALANCE;

D O I：

10.1155/2012/618750

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The cubication and the equivalent nonlinearization methods are used to replace the original Duffing-harmonic oscillator by an approximate Duffing equation in which the coefficients for the linear and cubic terms depend on the initial oscillation amplitude. It is shown that this procedure leads to angular frequency values with a maximum relative error of 0.055%. This value is 21% lower than the relative errors attained by previously developed approximate solutions.

引用

页数：12