Adaptive structures involving large imposed deformation often go beyond the boundary of linear theory and they should be treated as “nonlinear” structures. A generic nonlinear finite element formulation for vibration sensing and control analysis of laminated electro/elastic nonlinear shell structures is derived based on the virtual work principle. A generic curved triangular piezoelectric shell element is proposed based on the layerwise constant shear angle theory. The dynamic system equations, equations of electric potential output and feedback control force defined in a matrix form are derived. The modified Newton-Raphson method is adopted for nonlinear dynamic analysis of large and complex piezoelectric/elastic/control structures. A finite element code for vibration sensing and control analysis of nonlinear active piezoelectric structronic systems is developed. The developed piezoelectric shell element and finite element code are validated and then applied to control analysis of flexible electro-elastic (piezoelectric/elastic) structural systems. Vibration control of constant-curvature electro/elastic beam and plate systems are studied. Time-history responses of free and controlled nonlinear electro/elastic beam and plate systems are presented and nonlinear effects discussed.
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January 2004
Technical Papers
Control of Nonlinear Electro/Elastic Beam and Plate Systems (Finite Element Formulation and Analysis)
D. W. Wang,
D. W. Wang
Department of Mechanical Engineering, StrucTronics Lab., University of Kentucky, Lexington, KY 40506-0503
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H. S. Tzou,
H. S. Tzou
Department of Mechanical Engineering, StrucTronics Lab., University of Kentucky, Lexington, KY 40506-0503
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H.-J. Lee
H.-J. Lee
Structures and Acoustics Division, NASA Glenn Research Center, Cleveland, OH 44135-3191
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D. W. Wang
Department of Mechanical Engineering, StrucTronics Lab., University of Kentucky, Lexington, KY 40506-0503
H. S. Tzou
Department of Mechanical Engineering, StrucTronics Lab., University of Kentucky, Lexington, KY 40506-0503
H.-J. Lee
Structures and Acoustics Division, NASA Glenn Research Center, Cleveland, OH 44135-3191
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received May 2002; Revised May 2003. Associate Editor: J. A. Wickert.
J. Vib. Acoust. Jan 2004, 126(1): 63-70 (8 pages)
Published Online: February 26, 2004
Article history
Received:
May 1, 2002
Revised:
May 1, 2003
Online:
February 26, 2004
Citation
Wang , D. W., Tzou , H. S., and Lee, H. (February 26, 2004). "Control of Nonlinear Electro/Elastic Beam and Plate Systems (Finite Element Formulation and Analysis) ." ASME. J. Vib. Acoust. January 2004; 126(1): 63–70. https://doi.org/10.1115/1.1640357
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