Multiple-parameters technique for higher accurate numerical solution of Duffing-harmonic oscillation

被引：5

作者：

Chen, Y. Z. ^{[1
]}

机构：

[1] Jiangsu Univ, Div Engn Mech, Zhenjiang 212013, Jiangsu, Peoples R China

来源：

ACTA MECHANICA | 2011年 / 218卷 / 3-4期

关键词：

Compute Result; Angular Frequency; Nonlinear Oscillation; Nonlinear Vibration; Multiple Parameter;

D O I：

10.1007/s00707-010-0419-1

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A higher accurate numerical technique for nonlinear Duffing-harmonic oscillation is studied. The suggested technique is named the multiple-parameters technique, and the involved parameters are evaluated from the governing equation, the initial conditions and properties of motion. The computed results for the angular frequency are compared with the exact results. In the present study, the relevant error is less than 0.07% for the five-parameters technique within a wide range of "A" from 0.01, 0.1, . . . to 100 ("A" the amplitude of motion). Many numerical results are given to prove the efficiency of the suggested technique.

引用

页码：217 / 224

页数：8