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hailiang: ½ð±Ò+20, ¡ï¡ï¡ï¡ï¡ï×î¼Ñ´ð°¸ 2014-05-13 16:07:01
oven1986: ¼ìË÷EPI+1, ¸ÐлӦÖú£¡ 2014-05-13 16:45:14
A refined asymptotic perturbation method for nonlinear dynamical systems
×÷Õß: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
¾í: 84  ÆÚ: 4  Ò³: 591-606
DOI: 10.1007/s00419-014-0819-0
³ö°æÄê: APR 2014
²é¿´ÆÚ¿¯ÐÅÏ¢
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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.
¹Ø¼ü´Ê
×÷Õ߹ؼü´Ê:Nonlinear dynamical systems; Analytical technique; Asymptotic perturbation method; Method of multiple scales
KeyWords PlusARAMETRIC-EXCITATION; POL OSCILLATORS; RESONANCE; VAN; PLATE; MODEL
×÷ÕßÐÅÏ¢
ͨѶ×÷ÕßµØÖ·: Zhang, W (ͨѶ×÷Õß)
ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ        Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China.
µØÖ·:
ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ        [ 1 ] Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ        [ 2 ] Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Zhejiang, Peoples R China
ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ        [ 3 ] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Jiangsu, Peoples R China
µç×ÓÓʼþµØÖ·:sandyzhang0@yahoo.com; hailiang79@163.com; gaofabao@sina.com
»ù½ð×ÊÖúÖÂл
»ù½ð×ÊÖú»ú¹¹        ÊÚȨºÅ
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
²é¿´»ù½ð×ÊÖúÐÅÏ¢   
³ö°æÉÌ
SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Àà±ð / ·ÖÀà
Ñо¿·½Ïò:Mechanics
Web of Science Àà±ð:Mechanics
ÎÄÏ×ÐÅÏ¢
ÎÄÏ×ÀàÐÍ:Article
ÓïÖÖ:English
Èë²ØºÅ: WOS:000332831300009
ISSN: 0939-1533
µç×Ó ISSN: 1432-0681
ÆÚ¿¯ÐÅÏ¢
Impact Factor (Ó°ÏìÒò×Ó): Journal Citation Reports®
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IDS ºÅ: AC9CI
Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 35
Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0
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