The Idea of the Selection of PZT-Beam Interaction Forces in Active Vibration Protection Problem

• Authors: A. Brański , M. Borkowski , S. Szela
• Languages of publication: EN

Abstracts

EN

The paper concerns an active vibration protection (p-reduction) of the structure. This problem corresponds to the active vibration reduction (a-reduction). The quantity and effectivness of the a-/p- reduction, measured with reduction and effectiveness coefficient respectively, depends on, inter alia, the PZT distribution on the structure subdomains with the largest curvatures (quasi optimal distribution) are considered. The aim of this paper is to determine such interacting forces PZT-structure, assuming QO distribution of PZTs, which maximize the effectiveness of p-reduction. The beam clamped at one end, vibrating separately with first three modes, is chosen as the research object. The interacting forces are searched requiring that the shear force and bending moment at the clamped side are equal to zero. The total p-reduction is achieved for separate modes. Assuming the QO distribution of the PZTs, the best p-effectiveness is achieved. The validation of theoretical considerations is confirmed numerically.

Keywords

EN

46.70.De; 02.60.Pn; 46.40.-f; 07.10.Fq

Discipline

• 46.40.-f: Vibrations and mechanical waves(see also 43.40.+s Structural acoustics and vibration; 62.30.+d Mechanical and elastic waves; vibrations in mechanical properties of solids)
• 46.70.De: Beams, plates, and shells
• 07.10.Fq: Vibration isolation
• 02.60.Pn: Numerical optimization

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2010
• Volume: 118
• Issue: 1
• Pages: 17-22

Dates

published

2010-07

Contributors

author

A. Brański

• Laboratory of Acoustics, WEiI Rzeszów University of Technology, W. Pola 2, 35-959 Rzeszów, Poland

author

M. Borkowski

• Laboratory of Acoustics, WEiI Rzeszów University of Technology, W. Pola 2, 35-959 Rzeszów, Poland

author

S. Szela

• Institute of Technology University of Rzeszów, Rejtana 16c, 35-959 Rzeszów, Poland

References

• 1. C.R. Fuller, S.J. Elliot, P.A. Nielsen, Active control of vibration, Academic Press, London 1997
• 2. C.H. Hansen, S.D. Snyder, Active control of noise and vibration, E&FN SPON, London 1997
• 3. M. Pietrzakowski, Active damping of transverse vibration using distributed piezoelectric elements, OWPW, Warszawa 2004
• 4. J. Wiciak, Vibration of structural acoustics control - selected aspects, AGH, Kraków 2008
• 5. W. Kurnik, A. Tylikowski, Mechanics of laminate elements, OWPW, 1997 (in Polish)
• 6. P.M. Przybyłowicz, Piezoelectric vibration control of rotating control, OWPW, Warszawa 2002
• 7. A. Tylikowski, P.M. Przybyłowicz, Nonclassical piezoelectric materials in stabilization and vibration damping, IPBMPW, 2004 (in Polish)
• 8. A. Brański, S. Szela, Archives of Control Sciences, 17, 427 (2007)
• 9. A. Brański, S. Szela, Archives of Acoustics, 33, 413 (2008)
• 10. S. Kaliski, Vibration and waves (in Polish), PWN, Warszawa 1986
• 11. E. Kącki, Partial differential equations (in Polish), WNT, Warszawa 1992
• 12. M. Kozień, Acoustic radiation of plates and shallow shells (in Polish), PK, Monografia 331, Kraków 2006

Identifiers

DOI

10.12693/APhysPolA.118.17