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【答案】应助回帖
★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★
感谢参与，应助指数 +1
hailiang: 金币+20, ★★★★★最佳答案 2014-05-13 16:07:01
oven1986: 检索EPI+1, 感谢应助！ 2014-05-13 16:45:14
A refined asymptotic perturbation method for nonlinear dynamical systems
作者:Zhang, W (Zhang, W.)[ 1 ] ; Hu, HL (Hu, H. L.)[ 2,1 ] ; Qian, YH (Qian, Y. H.)[ 2 ] ; Gao, FB (Gao, F. B.)[ 3 ]
ARCHIVE OF APPLIED MECHANICS
卷: 84 期: 4 页: 591-606
DOI: 10.1007/s00419-014-0819-0
出版年: APR 2014
查看期刊信息
摘要
In this paper, a refined asymptotic perturbation method for general nonlinear dynamical systems is proposed for the first time. This method can be considered as an alternative means for the traditional multiple scales method. Moreover, it is easier to be understood and used to carry out higher-order perturbation analysis. In addition, three examples including the Duffing equation, a system with quadratic and cubic nonlinearities to a subharmonic excitation, as well as the coupled van der Pol oscillator with parametrical excitations are investigated to illustrate the validity and usefulness of the proposed technique. The analytical and numerical results show good agreement.
关键词
作者关键词:Nonlinear dynamical systems; Analytical technique; Asymptotic perturbation method; Method of multiple scales
KeyWords Plus ARAMETRIC-EXCITATION; POL OSCILLATORS; RESONANCE; VAN; PLATE; MODEL
作者信息
通讯作者地址: Zhang, W (通讯作者)
显示增强组织信息的名称 Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China.
地址:
显示增强组织信息的名称 [ 1 ] Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
显示增强组织信息的名称 [ 2 ] Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Zhejiang, Peoples R China
显示增强组织信息的名称 [ 3 ] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Jiangsu, Peoples R China
电子邮件地址:sandyzhang0@yahoo.com; hailiang79@163.com; gaofabao@sina.com
基金资助致谢
基金资助机构 授权号
National Natural Science Foundations of China (NNSFC)
11290152
11072008
11302187
Funding Project for Academic Human Resources Development in Institutions of Higher Learning under the Jurisdiction of Beijing Municipality (PHRIHLB)
Natural Science Foundation of Zhejiang Province of China
LY12A02002
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出版商
SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
类别 / 分类
研究方向:Mechanics
Web of Science 类别:Mechanics
文献信息
文献类型:Article
语种:English
入藏号: WOS:000332831300009
ISSN: 0939-1533
电子 ISSN: 1432-0681
期刊信息
Impact Factor (影响因子): Journal Citation Reports®
其他信息
IDS 号: AC9CI
Web of Science 核心合集中的 "引用的参考文献": 35
Web of Science 核心合集中的 "被引频次": 0 |
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