Nonlinear free and forced vibration of simply supported shear deformable laminated plates with piezoelectric actuators

International Journal of Mechanical Sciences

Volumn 47, Issue 2, 2005, Pages 187-208

  Huang, Xiao Lin ^a   Shen, Hui Shen ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

Dynamic response; Higher order shear deformation plate theory; Nonlinear vibration; Perturbation technique; Thermo piezoelectric effect

Indexed keywords

ACTUATORS; BENDING (DEFORMATION); DYNAMIC RESPONSE; ELECTRIC POTENTIAL; INTELLIGENT STRUCTURES; LAMINATES; PERTURBATION TECHNIQUES; PIEZOELECTRIC DEVICES; SHEAR DEFORMATION; VIBRATIONS (MECHANICAL);

HIGHER ORDER SHEAR DEFORMATION PLATE THEORY; LAMINATED PLATES; NONLINEAR VIBRATIONS; PIEZOELECTRIC ACTUATORS; THERMO-PIEZOELECTRIC EFFECTS;

PLATES (STRUCTURAL COMPONENTS);

EID: 14944372116     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmecsci.2005.01.003     Document Type: Article

References (21)

1. D.A. Saravanos, P.R. Heyliger, and D.A. Hopkins Layerwise mechanics and finite element for the dynamical analysis of piezoelectric composite plates International Journal of Solids and Structures 34 1997 359 378
2. M.C. Ray, R. Bhattacharya, and B. Samanta Exact solutions for dynamic analysis of composite plates with distributed piezoelectric layers Computers and Structures 66 1998 737 743
3. J.-H. Han, and I. Lee Analysis of composite plates with piezoelectric actuators for vibration control using layerwise displacement theory Composites Part B Engineering 29 1998 621 632
4. K.Y. Lam, and T.Y. Ng Active control of composite plates with integrated piezoelectric sensors and actuators under various dynamic loading conditions Smart Materials and Structures 8 1999 223 237
5. Y.Y. Tang, and K. Xu Dynamic analysis of a piezothermoelastic laminated plate Journal of Thermal Stresses 18 1995 87 104
6. K. Chandrashekhara, and R. Tenneti Thermally induced vibration suppression of laminated plates with piezoelectric sensors and actuators Smart Materials and Structures 4 1995 281 290
7. K.M. Xu, A.K. Noor, and Y.Y. Tang Three-dimensional solutions for free vibration of initially stressed thermoelectroelastic multilayered plates Computer Methods in Applied Mechanics and Engineering 141 1997 125 139
8. X. Zhou, A. Chattopadhyay, and H.Z. Gu Dynamic response of smart composites using a coupled thermo-piezoelectric-mechanical model AIAA Journal 38 2000 1939 1948
9. I.K. Oh, I.H. Han, and I. Lee Postbuckling and vibration characteristic of piezoelectric laminated composite plates subjected to thermo-piezoelectric loads Journal of Sound and Vibration 233 2000 19 40
10. M. Ishihara, and N. Noda Nonlinear dynamic behaviour of a piezothermoelastic laminated plate with anisotropic material properties Acta Mechanica 166 2003 103 118
11. M. Ishihara, and N. Noda Nonlinear dynamic behaviour of a piezothermoelastic laminate considering the effect of transverse shear Journal of Thermal Stresses 26 2003 1093 1112
12. X.-L. Huang, and J.-J. Zheng Nonlinear vibration and dynamic response of simply supported shear deformable laminated plates on elastic foundations Engineering Structures 25 2003 1107 1119
13. H.-S. Shen Nonlinear bending analysis of unsymmetric cross-ply laminated plates with piezoelectric actuators in thermal environments Composite Structures 63 2004 167 177
14. J.N. Reddy A refined nonlinear theory of plates with transverse shear deformation International Journal of Solids and Structures 20 1984 881 896
15. H.-S. Shen Kármán-type equations for a higher-order shear deformation plate theory and its use in the thermal postbuckling analysis Applied Mathematics and Mechanics 18 1997 1137 1152
16. H.-S. Shen Postbuckling of shear of deformable laminated plates with piezoelectric actuators under complex loading conditions International Journal of Solids and Structures 38 2001 7703 7721
17. H.-S. Shen Nonlinear bending response of functionally graded plates subjected to transverse loads and in thermal environments International Journal of Mechanical Sciences 44 2002 561 584
18. H.-Q. Wang Nonlinear vibration 1992 Higher Education Press [in Chinese]
19. C.E. Pearson Numerical methods in engineering and science 1986 Van Nostrand Reinhold New York
20. A. Benjeddou, J.F. Deü, and S. Letombe Free vibrations of simply supported piezoelectric adaptive plates an exact sandwich formulation Thin-Walled Structures 40 2002 573 593
21. R.C. Batra, X.Q. Liang, and I.S. Yang The vibration of a simply supported rectangular elastic plate due to piezoelectric actuators International Journal of Solids and Structures 33 1996 1597 1618