Nonlinear free vibration analysis of simply supported piezo-laminated plates with random actuation electric potential difference and material properties

Communications in Nonlinear Science and Numerical Simulation

Volumn 14, Issue 4, 2009, Pages 1646-1663

  Jayakumar, K ^a   Yadav, D ^a   Nageswara Rao, B ^b  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

^b INDIAN SPACE RESEARCH ORGANISATION   (India)

Author keywords

Convex model; Duffing's equation; Free vibration; Induced strain actuation; Monte Carlo simulation; Multivariate concept; Piezo laminated plate; Random variables

Indexed keywords

BOUNDARY CONDITIONS; ELECTRIC POTENTIAL; FUNCTIONS; GALERKIN METHODS; INTELLIGENT SYSTEMS; LAMINATING; MONTE CARLO METHODS; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; RECTANGULAR PLATE; STRESSES; VIBRATION ANALYSIS;

CONVEX MODELS; DUFFING EQUATIONS; FREE VIBRATION; INDUCED STRAIN; INDUCED STRAIN ACTUATION; MONTE CARLO'S SIMULATION; MULTIVARIATE CONCEPT; NONLINEAR FREE VIBRATIONS; PIEZOLAMINATED PLATES; STRAIN ACTUATION;

RANDOM VARIABLES;

EID: 55549139787     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2008.02.003     Document Type: Article

References (22)

1. Li Y.W., Elishakoff I., Starnes Jr. J.H., and Shinozuka M. Prediction of natural frequency and buckling load due to uncertainty in material properties by Convex modeling. Field Inst Commun 9 (1996) 139-154
2. Leissa A.W., and Martin A.F. Vibration, buckling of rectangular composite plates with variable fiber spacing. Compos Struct 14 (1990) 339-357
3. Shinozuka M., and Astill C.J. Random eigen value problems in structural analysis. AIAA 10 4 (1972) 456-462
4. Chen P.C., and Soroka W.W. Multi-degree dynamic response of a system with statistical properties. J Sound Vibr 37 4 (1974) 547-556
5. Yadav D., and Verma N. Buckling of composite circular cylindrical shells with random material properties. Compos Struct 37 (1997) 385-391
6. Bailey T., and Hubbard J. Distributed piezoelectric polymer active vibration control of a cantilever beam. J Guid Control Dynam 8 (1985) 605-611
7. Dimitriadis E.K., Fuller C.R., and Rogers C.A. Piezoelectric actuators for distributed excitation of thin plates. J Vib Acoust 113 (1991) 100-107
8. Wang T., and Rogers C.A. Laminate plate theory for spatially distributed induce strain actuators. J Compos Mater 25 (1991) 433-452
9. Chia C.Y. Nonlinear analysis of plates (1980), McGraw-Hill Book Company, New York
10. Reddy J.N. Mechanics of laminated composite plates: theory and analysis (1996), CRC Press, New York
11. Chandra R., and Raju B.B. Large amplitude flexural vibration of cross-ply laminated composite plates. Fiber Sci Technol 8 (1975) 243-265
12. Abramowitz M, Stegun IA. Handbook of mathematical functions with formulas, graphs and mathematical tables. US Department of Commerce; 1972.
13. Srinivasan P. Nonlinear mechanical vibrations (1995), New Age International (P) Ltd. (Formerly Wiley Eastern), New Delhi
14. Bowker A.H., and Lieberman G.I. Engineering statistics (1972), Prentice Hall Inc., Englewood Cliffs, NJ
15. Nigam N.C. Introduction to random vibration (1983), The MIT Press, Cambridge
16. Chu H.N., and Herrmann G. Influence of large amplitude free flexural vibrations of rectangular elastic plates. J Appl Mech 23 (1956) 532-540
17. Wah T. Large amplitude flexural vibrations of rectangular plates. Int J Mech Sci 5 (1963) 425-438
18. Mei C. Finite element displacement method for large amplitude free flexural vibrations of beams and plates. Comput Struct 3 (1973) 163-174
19. Mei C., and Decha-Umphai K. A finite element method for nonlinear forced vibration of rectangular plates. AIAA J 23 (1985) 1104-1110
20. Chia C.Y., and Prabhakaran M.K. A general mode approach to nonlinear flexural vibrations of laminated rectangular plates. J Appl Mech 45 (1978) 623-628
21. Singh G., Venkateswara Rao G., and Iyengar N.G.R. Large amplitude free vibration of simply supported anti-symmetric cross-ply. AIAA J 29 5 (1991) 784-790
22. Onkar A.K., and Yadav D. Nonlinear free vibration of laminated composite plate with random material properties. J Sound Vib 272 (2004) 627-641