Natural frequency analysis of piezoelectric rods and their assemblies by compliance method

• Autorzy: Cupiał P.
• Konferencja: Jubilee Symposium Vibrations In Physical Systems (25 ; 15-19.05.2012 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

The vibrations of one-dimensional structures that consist of several interconnected members are conveniently analysed by matrix methods that include: the compliance (receptance) method, the mobility approach, dynamic stiffness method or the transfer matrix method. The paper presents the generalization of the classical receptance method to the coupled electromechanical vibrations of piezoelectric rods. Several compliance matrices are derived for piezoelectric rods undergoing longitudinal vibrations. These matrices can then be used in the derivation of the characteristic equations of rods with different boundary conditions as well as piezoelectric rod assemblies. The approach is illustrated by deriving the characteristic equation for a single piezoelectric rod with one end fixed and a spring and capacitor attached to its other end, as well as a two-rod assembly.

Słowa kluczowe

EN

vibration; continuous systems; coupled piezoelectricity; matrix methods

PL

drgania; układy ciągłe; piezoelektryczność; metody macierzowe

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2012
• Tom: Vol. 25
• Strony: 109--116
• Opis fizyczny: Bibliogr. 8 poz., rys.

Twórcy

autor

Cupiał P.

• AGH University of Science and Technology, Department of Process Control, Al. Mickiewicza 30, 30-059 Krakow

Bibliografia

• 1. R.E.D. Bishop, D.C.. Johnson, The Mechanics of Vibration, Cambridge University Press, 1960.
• 2. R.E.D. Bishop, G.M.L. Gladwell, S. Michaelson, Macierzowa analiza drgań (The Matrix Analysis of Vibration), WNT, Warszawa 1972.
• 3. L. Cremer, M.Heckl, Structure-born Sound: Structural Vibrations and Sound at Audio Frequencies, Springer, 2nd ed., Berlin 1988.
• 4. J.C. Snowdon, Vibration and Shock in Damped Mechanical Systems, John Wiley & Sons, New York 1968.
• 5. R.W. Clough, J. Penzien, Dynamics of Structures, Mc-Graw-Hill, New York 1993.
• 6. T. Chmielewski, Z. Zembaty, Podstawy dynamiki budowli (Principles of Structural Dynamics), Arkady, Warszawa 1998.
• 7. P. Cupiał, Coupled Electromechanical Vibration Problems for Piezoelectric Distributed-parameter Systems, Monografia 362, Seria Mechanika, Politechnika Krakowska, Kraków 2008.
• 8. W. Nowacki, Efekty elektromagnetyczne w stałych ciałach odkształcalnych (Electromagnetic Effects in Deformable Solids), PWN, Warszawa 1983.