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Title£º An approximate analytical method of the nonlinear vibro-acoustic coupling system

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zqizheng: ½ð±Ò+5, ¡ï¡ï¡ïºÜÓаïÖú 2014-09-02 14:19:43
An Approximate Analytical Method of the Nonlinear Vibroacoustic Coupling System
×÷Õß:Zhou, QZ (Zhou, Qizheng)[ 1 ] ; Wang, DS (Wang, Deshi)[ 1 ] ; Zhu, YY (Zhu, Yongyong)[ 1 ]
SHOCK AND VIBRATION
ÎÄÏ׺Å: 315416
DOI: 10.1155/2014/315416
³ö°æÄê: 2014
²é¿´ÆÚ¿¯ÐÅÏ¢
ÕªÒª
An approximate analytical method of the nonlinear vibroacoustic coupling system is proposed for the first time. Taking the Duffing oscillator-plate-medium system as an example, the nonlinear vibroacoustic coupling equations are developed using variational principle. The two major difficulties which lie in solving the coupling equations are the uncertain motion of the oscillator and the surface acoustic pressure on the plate, a system for which the fluid-structure coupling cannot be neglected. Based on the incremental harmonic balance (IHB) method, the motion of the oscillator is expressed in the form of the Fourier series, and then the modal expression method and the incoherent assumption are employed to discretize the displacement and the surface pressure of the plate. Then the approximate analytical solution is given by the IHB method. The characteristics of acoustic radiation and surface quadratic velocity of the plate, the nonlinear characteristics of oscillator, and the influence of the excitation frequency and the nonlinear stiffness on the results are investigated by the numerical simulation. The results show that the excitation at the frequency close to the natural frequency of the oscillator can produce a significant response of the third-harmonic generation which determines the vibroacoustic characteristics of the plate.
¹Ø¼ü´Ê
KeyWords Plus:MUTUAL RADIATION RESISTANCES; HARMONIC-BALANCE METHOD; THIN ELASTIC PLATES; RECTANGULAR PLATE; VIBRATION; FORMULATION; FIELDS; PANELS; SOUND; POWER
×÷ÕßÐÅÏ¢
ͨѶ×÷ÕßµØÖ·: Zhou, QZ (ͨѶ×÷Õß)
              Naval Univ Engn, Dept Weaponry Engn, Wuhan 430033, Peoples R China.
µØÖ·:
              [ 1 ] Naval Univ Engn, Dept Weaponry Engn, Wuhan 430033, Peoples R China
µç×ÓÓʼþµØÖ·:zqizheng@sina.cn
»ù½ð×ÊÖúÖÂл
»ù½ð×ÊÖú»ú¹¹        ÊÚȨºÅ
National Natural Science Foundation of China        
11372350
²é¿´»ù½ð×ÊÖúÐÅÏ¢   
³ö°æÉÌ
HINDAWI PUBLISHING CORPORATION, 410 PARK AVENUE, 15TH FLOOR, #287 PMB, NEW YORK, NY 10022 USA
Àà±ð / ·ÖÀà
Ñо¿·½Ïò:Acoustics; Engineering; Mechanics
Web of Science Àà±ð:Acoustics; Engineering, Mechanical; Mechanics
ÎÄÏ×ÐÅÏ¢
ÎÄÏ×ÀàÐÍ:Article
ÓïÖÖ:English
Èë²ØºÅ: WOS:000336538900001
ISSN: 1070-9622
µç×Ó ISSN: 1875-9203
ÆÚ¿¯ÐÅÏ¢

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3Â¥2014-09-02 10:05:53
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zqizheng: ½ð±Ò+5, ¡ï¡ï¡ïºÜÓаïÖú 2014-09-02 14:19:54
±êÌâ: An Approximate Analytical Method of the Nonlinear Vibroacoustic Coupling System
×÷Õß: Zhou, QZ (Zhou, Qizheng); Wang, DS (Wang, Deshi); Zhu, YY (Zhu, Yongyong)
À´Ô´³ö°æÎï: SHOCK AND VIBRATION  ÎÄÏ׺Å: 315416  DOI: 10.1155/2014/315416  ³ö°æÄê: 2014  
Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0
±»ÒýƵ´ÎºÏ¼Æ: 0
ÒýÓõIJο¼ÎÄÏ×Êý: 22
ÕªÒª: An approximate analytical method of the nonlinear vibroacoustic coupling system is proposed for the first time. Taking the Duffing oscillator-plate-medium system as an example, the nonlinear vibroacoustic coupling equations are developed using variational principle. The two major difficulties which lie in solving the coupling equations are the uncertain motion of the oscillator and the surface acoustic pressure on the plate, a system for which the fluid-structure coupling cannot be neglected. Based on the incremental harmonic balance (IHB) method, the motion of the oscillator is expressed in the form of the Fourier series, and then the modal expression method and the incoherent assumption are employed to discretize the displacement and the surface pressure of the plate. Then the approximate analytical solution is given by the IHB method. The characteristics of acoustic radiation and surface quadratic velocity of the plate, the nonlinear characteristics of oscillator, and the influence of the excitation frequency and the nonlinear stiffness on the results are investigated by the numerical simulation. The results show that the excitation at the frequency close to the natural frequency of the oscillator can produce a significant response of the third-harmonic generation which determines the vibroacoustic characteristics of the plate.
Èë²ØºÅ: WOS:000336538900001
ÓïÖÖ: English
ÎÄÏ×ÀàÐÍ: Article
KeyWords Plus: MUTUAL RADIATION RESISTANCES; HARMONIC-BALANCE METHOD; THIN ELASTIC PLATES; RECTANGULAR PLATE; VIBRATION; FORMULATION; FIELDS; PANELS; SOUND; POWER
µØÖ·: [Zhou, Qizheng; Wang, Deshi; Zhu, Yongyong] Naval Univ Engn, Dept Weaponry Engn, Wuhan 430033, Peoples R China.
ͨѶ×÷ÕßµØÖ·: Zhou, QZ (ͨѶ×÷Õß),Naval Univ Engn, Dept Weaponry Engn, Wuhan 430033, Peoples R China.
µç×ÓÓʼþµØÖ·: zqizheng@sina.cn
³ö°æÉÌ: HINDAWI PUBLISHING CORPORATION
³ö°æÉ̵ØÖ·: 410 PARK AVENUE, 15TH FLOOR, #287 PMB, NEW YORK, NY 10022 USA
Web of Science Àà±ð: Acoustics; Engineering, Mechanical; Mechanics
Ñо¿·½Ïò: Acoustics; Engineering; Mechanics
IDS ºÅ: AI0LL
ISSN: 1070-9622
µç×Ó ISSN: 1875-9203
29 ×Ö·ûµÄÀ´Ô´³ö°æÎïÃû³ÆËõд: SHOCK VIB
ISO À´Ô´³ö°æÎïËõд: Shock Vib.
À´Ô´³ö°æÎïÒ³Âë¼ÆÊý: 10
»ù½ð×ÊÖúÖÂл:
»ù½ð×ÊÖú»ú¹¹        ÊÚȨºÅ
National Natural Science Foundation of China        
11372350
This work was supported by National Natural Science Foundation of China (Grant no. 11372350).
4Â¥2014-09-02 10:19:19
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