Non-linear vibrations of a non-uniform beam with symmetrically located piezoelectric patches

• Autorzy: Kuliński K. , Przybylski J.
• Konferencja: Symposium Vibrations In Physical Systems (27 ; 09-13.05.2016 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

In this paper the non-linear vibration behaviour and its modification due to the piezoelectric actuation of a beam with varying cross section and resting on an elastic foundation has been discussed. Due to assumed end conditions the stretching force emerges during the system vibrations. That force can be modified by an axial residual force to enhance or reduce the value of vibrations frequency of the beam. The system is divided onto three segments with the central segment consisted of the core beam and two colocally and perfectly bonded piezo patches. In order to obtain the approximate solutions of the non-linear frequency of the systems the Lindstedt-Poincare method has been utilized. Vast number of numerical results shows that not only the structural parameters of the system have significant effect on its non-linear vibration behaviour at a given amplitude but also the residual force and the elastic foundation modulus.

Słowa kluczowe

EN

non-linear vibrations; piezoactuator; amplitude-frequency relation; Winkler foundation

PL

drgania nieliniowe; piezoaktuator; podłoże Winklera

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2016
• Tom: Vol. 27
• Strony: 203--210
• Opis fizyczny: Bibliogr. 9 poz., rys., wykr.

Twórcy

autor

Kuliński K.

• Częstochowa University of Technology, Institute of Mechanics and Machine Design Foundations, Dąbrowskiego 71,42 200 Częstochowa

autor

Przybylski J.

• Częstochowa University of Technology, Institute of Mechanics and Machine Design Foundations, Dąbrowskiego 71,42 200 Częstochowa

Bibliografia

• 1. S. Wojnowsky-Krieger, The effect of an axial force on the vibration of hinged beams, J. of Applied Mechanics, 17 (1950) 35 – 36.
• 2. L. Azrar, R. Benamar, R. G. White, Semi-analitycal approach to the nonlinear dynamic response problem of S-S and C-C beams at large vibrations amplitudes. Part I: General theory and application to the single mode approach to free and forced vibration analysis, J. of Sound and Vibr., 224 (1999) 183 – 207.
• 3. R. Benamar, M. Bennouna, R. G. White, The effects of large vibration amplitudes on the mode shapes and natural frequencies of thin elastic structures. Part I: Simply supported and clamped-clamped beams, J. Sound. and Vibr., 149 (1991) 179 – 195.
• 4. G. Song, V. Sethi, H-N. Li, Vibration control of civil structures using piezoceramic smart materials: A review., J. of Engng. Struct., 28 (2006) 1513 – 1524.
• 5. A. R. Faria, On buckling enhancement of laminated beams with piezoelectric actuators via stress stiffening., J. of Comp. Struct., 65 (2004) 187 – 192.
• 6. C. Zehetner, H. Irschik, On the static and dynamic stability of beams with an axial piezoelectric actuation, Smart Struct. and Syst., 4 (2008) 67 – 84.
• 7. D. Oguamanam, S. Almeida, J. Hansen, Stress stiffening effect in laminated beams with piezoelectric actuators, J Intell Mater Syst. Struct., 9 (1998) 137 – 145.
• 8. J. Przybylski, Non-linear vibrations of a beam with a pair of piezoceramic actuators, J. of Engng. Struct., 31 (2009) 2687 – 2695.
• 9. J. Przybylski, Static and dynamic problems of slender mechanical systems with integrated piezoceramic elements, Wydawnictwo Politechniki Częstochowskiej, Częstochowa 2012 (in Polish).

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.