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Erschienen in: Mechanics of Composite Materials 5/2013

01.11.2013

Vibration suppression for laminated composite plates with arbitrary boundary conditions

verfasst von: J. Li, Y. Narita

Erschienen in: Mechanics of Composite Materials | Ausgabe 5/2013

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Abstract

An analysis of vibration suppression for laminated composite plates subject to active constrained layer damping under various boundary conditions is presented. Piezoelectric-fiber-reinforced composites (PFRCs) are used as active actuators, and the effect of PFRC patches on vibration control is reported here. An analytical approach is expanded to analyze the vibration of laminated composites with arbitrary boundary conditions. By using Hamilton’s principle and the Rayleigh–Ritz method, the equation of motion for the resulting electromechanical coupling system is derived. A velocity feedback control rule is employed to obtain an effective active damping in the vibration control. The orientation effect of piezoelectric fibers in the PFRC patches on the suppression of forced vibrations is also investigated.

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Literatur
1.
Zurück zum Zitat T. Mizusawa and J. W. Leonard, “Vibration and buckling of plates with mixed boundary conditions,” Engineering Structures, 12, 285–290 (1990).CrossRef T. Mizusawa and J. W. Leonard, “Vibration and buckling of plates with mixed boundary conditions,” Engineering Structures, 12, 285–290 (1990).CrossRef
2.
Zurück zum Zitat K. P. Soldatos and A. Messina, “The influence of boundary conditions and transverse shear on the vibration of angle-ply laminated plates, circular cylinders and cylindrical panels,” Computer Methods in Applied Mechanics and Engineering, 190, 2385–2409 (2001).CrossRef K. P. Soldatos and A. Messina, “The influence of boundary conditions and transverse shear on the vibration of angle-ply laminated plates, circular cylinders and cylindrical panels,” Computer Methods in Applied Mechanics and Engineering, 190, 2385–2409 (2001).CrossRef
3.
Zurück zum Zitat Y. Narita, M. Itoh, and X. Zhao, “Optimal design by genetic algorithm for maximum fundamental frequency of laminated shallow shells,” Advanced Composite Letters, 5, 21–24 (1996). Y. Narita, M. Itoh, and X. Zhao, “Optimal design by genetic algorithm for maximum fundamental frequency of laminated shallow shells,” Advanced Composite Letters, 5, 21–24 (1996).
4.
Zurück zum Zitat Y. Narita, “Layerwise optimization for the maximum fundamental frequency of laminated composite plates,” J. of Sound and Vibration, 263, 1005–1016 (2003).CrossRef Y. Narita, “Layerwise optimization for the maximum fundamental frequency of laminated composite plates,” J. of Sound and Vibration, 263, 1005–1016 (2003).CrossRef
5.
Zurück zum Zitat Y. Narita, “Combinations for the free-vibration behaviors of anisotropic rectangular plates under general edge conditions,” ASME J. of Appl. Mech., 67, 568–573 (2000).CrossRef Y. Narita, “Combinations for the free-vibration behaviors of anisotropic rectangular plates under general edge conditions,” ASME J. of Appl. Mech., 67, 568–573 (2000).CrossRef
6.
Zurück zum Zitat Y. Narita and J. M. Hodgkinson, “Layerwise optimization for maximizing the fundamental frequencies of point-supported rectangular laminated composite plates,” Composite Structures, 69, 127–135 (2005).CrossRef Y. Narita and J. M. Hodgkinson, “Layerwise optimization for maximizing the fundamental frequencies of point-supported rectangular laminated composite plates,” Composite Structures, 69, 127–135 (2005).CrossRef
7.
Zurück zum Zitat Q. Q. Ni, J. Xie, and M. Iwamoto, “Buckling analysis of laminated composite plates with arbitrary edge supports,” Composite Structures, 69, 209–217 (2005).CrossRef Q. Q. Ni, J. Xie, and M. Iwamoto, “Buckling analysis of laminated composite plates with arbitrary edge supports,” Composite Structures, 69, 209–217 (2005).CrossRef
8.
Zurück zum Zitat F. L. Liu and K. M. Liew, “Analysis of vibrating thick rectangular plates with mixed boundary constraints using differential quadrature element method,” J.l of Sound and Vibration, 225, 915–934 (1999).CrossRef F. L. Liu and K. M. Liew, “Analysis of vibrating thick rectangular plates with mixed boundary constraints using differential quadrature element method,” J.l of Sound and Vibration, 225, 915–934 (1999).CrossRef
9.
Zurück zum Zitat G. W., Wei, Y. B. Zhao, and Y. Xiang, “The determination of natural frequencies of rectangular plates with mixed boundary conditions by discrete singular convolution,” Int. J. of Mech. Sci., 43, 1731–1746 (2001). G. W., Wei, Y. B. Zhao, and Y. Xiang, “The determination of natural frequencies of rectangular plates with mixed boundary conditions by discrete singular convolution,” Int. J. of Mech. Sci., 43, 1731–1746 (2001).
10.
Zurück zum Zitat C. K. Lee, Theory of laminated piezoelectric plates for the design of distributed sensors/actuators. Part I: governing equations and reciprocal relationships,” J. of Acoustical Society of America, 87, 1144–1158 (1990).CrossRef C. K. Lee, Theory of laminated piezoelectric plates for the design of distributed sensors/actuators. Part I: governing equations and reciprocal relationships,” J. of Acoustical Society of America, 87, 1144–1158 (1990).CrossRef
11.
Zurück zum Zitat F. M. Li, R. Kishimoto, Y. S. Wang, Z. B. Chen, and W. H. Huang, “Vibration control of beams with active constrained layer damping,” Smart Materials and Structures, 17, 1–9 (2008). F. M. Li, R. Kishimoto, Y. S. Wang, Z. B. Chen, and W. H. Huang, “Vibration control of beams with active constrained layer damping,” Smart Materials and Structures, 17, 1–9 (2008).
12.
Zurück zum Zitat R. Lammering, “The application of a finite shell element for composite containing piezoelectric polymers in vibration control,” Computers and Structures, 41, 1101–1109 (1991).CrossRef R. Lammering, “The application of a finite shell element for composite containing piezoelectric polymers in vibration control,” Computers and Structures, 41, 1101–1109 (1991).CrossRef
13.
Zurück zum Zitat J. C. Lin and M. H. Nien, “Adaptive control of a composite cantilever beam with piezoelectric damping-modal actuators/sensors,” Compos. Structures, 70, 170–176 (2005).CrossRef J. C. Lin and M. H. Nien, “Adaptive control of a composite cantilever beam with piezoelectric damping-modal actuators/sensors,” Compos. Structures, 70, 170–176 (2005).CrossRef
14.
Zurück zum Zitat N. W. Hagood, W. H. Chung, and A. von Flotow, “Modelling of piezoeletric actuator dynamics for active structural control,” J. of Intelligent Material Systems and Structures, 1, 327–354 (1990).CrossRef N. W. Hagood, W. H. Chung, and A. von Flotow, “Modelling of piezoeletric actuator dynamics for active structural control,” J. of Intelligent Material Systems and Structures, 1, 327–354 (1990).CrossRef
15.
Zurück zum Zitat M. Pietrzakowski, “Piezoelectric control of composite plate vibration: Effect of electric potential distribution,” Computers and Structures, 86, 948–954 (2008).CrossRef M. Pietrzakowski, “Piezoelectric control of composite plate vibration: Effect of electric potential distribution,” Computers and Structures, 86, 948–954 (2008).CrossRef
16.
Zurück zum Zitat P. Tan and L. Tong, “A delamination detection model for composite beams using PFRC sensor/actuator,” Composites, 35, 231–247 (2004).CrossRef P. Tan and L. Tong, “A delamination detection model for composite beams using PFRC sensor/actuator,” Composites, 35, 231–247 (2004).CrossRef
17.
Zurück zum Zitat H. L. Dai and H. Y. Zheng, “Buckling and post-buckling analyses for an axially compressed laminated cylindrical shell of FGM with PFRC in thermal environments,” Europ. J. of Mechanics, 30, 913–923 (2011).CrossRef H. L. Dai and H. Y. Zheng, “Buckling and post-buckling analyses for an axially compressed laminated cylindrical shell of FGM with PFRC in thermal environments,” Europ. J. of Mechanics, 30, 913–923 (2011).CrossRef
18.
Zurück zum Zitat S. M. Shiyekar and T. Kant, “Higher order shear deformation effects on analysis of laminates with piezoelectric fiber reinforced composite actuators,” Composite Structures, 93, 3252–3261 (2011).CrossRef S. M. Shiyekar and T. Kant, “Higher order shear deformation effects on analysis of laminates with piezoelectric fiber reinforced composite actuators,” Composite Structures, 93, 3252–3261 (2011).CrossRef
19.
Zurück zum Zitat S. Kapuria and M. Y. Yasin, “Active vibration suppression of multilayered plates integrated with piezoelectric fiber reinforced composites using an efficient finite element model,” J. of Sound and Vibration, 329, 3247–3265 (2010).CrossRef S. Kapuria and M. Y. Yasin, “Active vibration suppression of multilayered plates integrated with piezoelectric fiber reinforced composites using an efficient finite element model,” J. of Sound and Vibration, 329, 3247–3265 (2010).CrossRef
20.
Zurück zum Zitat M. C. Ray and J. N. Reddy, “Active control of laminated cylindrical shells using piezoelectric fiber reinforced composites,” Compos. Sci. Technol., 65, 1226–1236 (2005).CrossRef M. C. Ray and J. N. Reddy, “Active control of laminated cylindrical shells using piezoelectric fiber reinforced composites,” Compos. Sci. Technol., 65, 1226–1236 (2005).CrossRef
21.
Zurück zum Zitat M. C. Ray and N. Mallik, “Active control of laminated composite beams using a piezoelectric fiber-reinforced composite layer,” Smart Materials and Structures, 13, 146–152 (2004).CrossRef M. C. Ray and N. Mallik, “Active control of laminated composite beams using a piezoelectric fiber-reinforced composite layer,” Smart Materials and Structures, 13, 146–152 (2004).CrossRef
Metadaten
Titel
Vibration suppression for laminated composite plates with arbitrary boundary conditions
verfasst von
J. Li
Y. Narita
Publikationsdatum
01.11.2013
Verlag
Springer US
Erschienen in
Mechanics of Composite Materials / Ausgabe 5/2013
Print ISSN: 0191-5665
Elektronische ISSN: 1573-8922
DOI
https://doi.org/10.1007/s11029-013-9368-9

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