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ÌâÄ¿£ºA refined asymptotic perturbation method for nonlinear dynamical systems ×÷ÕߣºW. Zhang ¡¤ H. L. Hu ¡¤ Y. H. Qian ¡¤ F. B. Gao ÆÚ¿¯£ºARCHIVE OF APPLIED MECHANICS Çë°ïæ²éѯÊÕ¼ºÅ¡£ ÁíÍ⣬ÏÖÔÚ¶¼¸Ä³ÉÁËWOS+Êý×Ö£¬Âé·³¸æÖªÊÇ·ñÊÇSCIÊÕ¼£¡ |
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sunshan4379
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4Â¥2014-05-13 16:12:29
sunshan4379
°æÖ÷ (ÎÄ̳¾«Ó¢)
- LS-EPI: 131
- Ó¦Öú: 218 (´óѧÉú)
- ¹ó±ö: 7.08
- ½ð±Ò: 129140
- É¢½ð: 57852
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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
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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
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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¢ ÕªÒª 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 Plus ARAMETRIC-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® ÆäËûÐÅÏ¢ IDS ºÅ: AC9CI Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 35 Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0 |

2Â¥2014-05-13 15:54:36
hailiang
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3Â¥2014-05-13 16:06:42













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