Refined Approach to Electrically Excited Vibration of a Rectangular Plate with Piezoelectric Layers

• Autorzy: Tylikowski A.
• Konferencja: Polish-German Workshop on Dynamical Problems in Mechanical Systems (9 ; 4-10.09.2005 ; Paszkówka, Poland)
• Języki publikacji: EN

Abstrakty

EN

The purpose of this analytical work is to present a general model of the electro-mechanical response of a simply supported laminated plate to excitation by piezoelectric embedded actuators. The dynamic plate transverse displacement and the electric field to the excitation by the applied voltage term are determined from the solution of boundary value problem. The distribution of the piezoelectric potential is obtained by including the Maxwell electrostatics equation in the formulation. Coupled dynamics equations with respect to a plate displacement and an electric field are derived using Hamilton principle. Dynamic equations, joints conditions between sections with and without active layers as well as the mechanical and electrical boundary conditions at the plate edges form the boundary value problems. The steady-state frequency and space characteristics due to sinusoidal voltage applied to actuators are presented. The analysis generalizes previous results obtained under neglecting the in-plane components of electric displacement.

Słowa kluczowe

EN

piezoelectric layers; coupled dynamics equations; harmonic excitation; steady-state plate characteristics

• Wydawca: Oficyna Wydawnicza Politechniki Warszawskiej
• Czasopismo: Machine Dynamics Problems
• Rocznik: 2006
• Tom: Vol. 30, No. 1
• Strony: 97--111
• Opis fizyczny: Bibliogr. 10 poz., wykr.

Twórcy

autor

Tylikowski A.

• Institute of Machine Design Fundamentals.Warsaw University of Technology,

Bibliografia

• Gardonio, P., Elliott, S. J., 2004, Smart Panels for active structural acoustic control, Smart Materials and Structures, 13, 1314-1336.
• Gopinathan, S. V., Varadan, V. V., Varadan, V. K., 2000, A review and critique of theories for piezoelectric laminates, Smart Materials and Structures, 9, 24-48.
• Krommer, M., Irschik H. A., 1999, On the influence of the electric field on free transverse vibrations of smart beams, Smart Materials and Structures, 8, 401-410.
• Krommer, M., Irschik, H. A., 2000, Reissner-Mindlin type plate theory including the direct piezoelectric and pyroelectric effect, Acta Mechanica, 141, 51-69.
• Lee, C. K., 1990, Theory of laminated piezoelectric plates for the design of distributed sensors/actuators, Part I: Governing equations and reciprocal relationships, J. Acoustical Society of America, 87, 1144-1158.
• Pietrzakowski, M, 2006, Wpływ pola elektrycznego w piezoaktuatorach na drgania aktywnych struktur płytowych (in Polish), XII Warsztaty Polskiego Towarzystwa Symulacji Komputerowych, Symulacja w Badaniach i Rozwoju, Kazimierz Dolny, 2006.
• Tylikowski, A., 2001, Active damping of parametric vibrations of mechanical distributed systems, in: Watanabe K., and Ziegler F. (eds.), Dynamics of Advances Materials & Structures, Dordrecht, Kluwer.
• Tylikowski, A., 2005, Refined approach to active damping of thermally induced parametric vibrations, Proceedings of The Sixth International Congress on Thermal Stresses, Ziegler, F., Heuer, R., and Adam, C., (edit.), TU Wien, 1, 347-350.
• Tylikowski, A., 2005, Stabilization of plate parametric vibration via distributed control, J. of Theoretical and Applied Mechanics, 43, 3, 695-706.
• Wang, Q., Quek, S. T., 2000, Flexural vibration analysis of sandwich beam coupled with piezoelectric actuators, Smart Materials and Structures, 9, 103-109.