 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
|
| << Previous article | Volume 51, Issue 3 / 2016 | Next article >> |
| A.S. Ivanov, V.P. Matvienko, D.A. Oshmarin, N.V. Sevodina, M.A. Yurlov, and N.A. Yurlova, "Justification of Equivalent Substitution Circuits Used to Optimize the Dissipative Properties of Electroelastic Bodies with External Electric Circuits," Mech. Solids. 51 (3), 273-283 (2016) |
| Year |
2016 |
Volume |
51 |
Number |
3 |
Pages |
273-283 |
| DOI |
10.3103/S0025654416030043 |
| Title |
Justification of Equivalent Substitution Circuits Used to Optimize the Dissipative Properties of Electroelastic Bodies with External Electric Circuits |
| Author(s) |
A.S. Ivanov (Institute of Continuous Media Mechanics, Ural Branch of the Russian Academy of Sciences, ul. Akad. Koroleva 1, Perm, 614013 Russia, leshichiy@icmm.ru)
V.P. Matvienko (Institute of Continuous Media Mechanics, Ural Branch of the Russian Academy of Sciences, ul. Akad. Koroleva 1, Perm, 614013 Russia, mvp@icmm.ru)
D.A. Oshmarin (Institute of Continuous Media Mechanics, Ural Branch of the Russian Academy of Sciences, ul. Akad. Koroleva 1, Perm, 614013 Russia, oshmarin@icmm.ru)
N.V. Sevodina (Institute of Continuous Media Mechanics, Ural Branch of the Russian Academy of Sciences, ul. Akad. Koroleva 1, Perm, 614013 Russia, natsev@icmm.ru)
M.A. Yurlov (Institute of Continuous Media Mechanics, Ural Branch of the Russian Academy of Sciences, ul. Akad. Koroleva 1, Perm, 614013 Russia, yurlovm@icmm.ru)
N.A. Yurlova (Institute of Continuous Media Mechanics, Ural Branch of the Russian Academy of Sciences, ul. Akad. Koroleva 1, Perm, 614013 Russia, yurlova@icmm.ru) |
| Abstract |
We consider elastoplastic systems which are piecewise homogeneous bodies composed of piezoelectric elements some of which have piezoelectrical properties. Electric series circuits consisting of resistors, capacitors, and inductance coils are applied to piezoelectric elements through the electrode coating on the body surface. The goal of the study is to develop efficient methods of mathematical modelling for determining the parameters of elements of the external electric circuit, which ensure, at prescribed resonance frequencies, the maximum damping properties of electroelastic bodies with external electric circuits. To choose effective circuits for solving the problem posed above, we suggest to pose the problem of natural vibrations of elastic bodies whose elements exhibit piezoeffect and have external electric circuits. As the most efficient approaches for calculating the electric circuit parameters necessary for the maximal damping, we propose some versions of equivalent circuits, which can be used to substitute elastic systems with piezoelectric elements. The most reliable equivalent substitution circuits are justified on the basis of the proposed problem of natural vibrations. Numerical results are obtained for a cantilever plate with a piezoelement connected through the electrode coated surface with a series electric circuit consisting of resistors, capacitors and inductance coils. |
| Keywords |
elastic systems with piezoelements, external electric circuits, natural vibrations, equivalent substitution circuits |
| References |
| 1. | R. L. Forward,
"Electronic Damping of Vibrations in Optical Structures,"
J. Appl. Optics
18 (5), 690-697 (1979). |
| 2. | N. Hagood and A. von Flotow, "Damping of Structural Vibrations
with Piezoelectric Materials and Passive Electrical Networks," J.
Sound Vibr. 146 (2), 243-268 (1991). |
| 3. | F. A. C. Viana and V. Steffen, Jr., "Multimodal Vibration Damping
through Piezoelectric Patches and Optimal Resonant Shunt
Circuits," J. Braz. Soc. Mech. Sci. Engng XXVIII (3),
293-310 (2006). |
| 4. | H. A. Sodano,
Macro-Fiber Composites for Sensing, Actuation, and Power Generation,
PhD Thesis (Blackburg, Virginia,
2003). |
| 5. | G. Kawiecki and S. Jesse,
"Rosette Piezotransducers for Damage Detection,"
Smart Mater. Struct.,
No. 11, 196-201 (2002). |
| 6. | S. Y. Wu, "Piezoelectric Shunts with Parallel R-L Circuit for
Structural Damping and Vibration Control," Proc. SPIE2720, Smart
Structures and Materials 1996: Passive Damping and Isolation
2720, 259-269 (1996). |
| 7. | M. C. Elvin and A. A. Elvin,
"The Flutter Response of a Piezoelectrically Damped Cantilever Pipe,"
J. Intell. Mater. Syst. Struct.
20, 2017-2026 (2009). |
| 8. | J. Mackerie,
"Smart Materials and Structures - a Finite Element Approach:
A Bibliography (1986-1997),"
Modelling Simul. Mater. Sci. Engng,
No. 6, 293-334 (1998). |
| 9. | J. Mackerie,
"Smart Materials and Structures - a Finite Element Approach - an Addendum:
A Bibliography (1997-2002),"
Modelling Simul. Mater. Sci. Engng,
No. 11, 707-744 (2003). |
| 10. | K. Washizu,
Variational Methods in Elasticity and Plasticity
(Pergamon Press, Oxford-New York, 1982; Mir, Moscow, 1987). |
| 11. | V. Z. Parton and B. A. Kudryavtsev,
Electromagnetoelasticity of Piezoelectric and Electrically Conducting Bodies
(Nauka, Moscow, 1988)
[in Russian]. |
| 12. | V. G. Karnaukhov and I. F. Kirichok,
Electrothermoviscoelasticity
(Naukova Dumka, Kiev, 1988). |
| 13. | V. P. Matvienko, E. P. Kligman, M. A. Yurlov, and N. A. Yurlova,
"Modeling and Optimization of Dynamic Characteristics of Smart
Structures with Piezomaterials," Fiz. Mezomekh. 15 (1),
75-85 (2012). |
| 14. | A. Nashif, D. Jones, and J. Henderson,
Vibration Damping
(Wiley, New York, 1985; Mir, Moscow, 1988). |
| 15. | A. J. Agneni, F. Mastroddi, and G. M. Polli,
"Shunted Piezoelectric Patches in Elastic and Aeroelastic Vibrations,"
Comput. Struct.
81 (2), 91-105 (2003). |
| 16. | A. J. Fleming, S. Behrens, and S. O. R. Moheimani, "Reducing the
Inductance Requirements of Piezoelectric Shunt Damping Systems,"
Smart. Mater. Struct., No. 12, 57-64 (2003). |
| 17. | O. Thomas, J. Ducarne, and J.-F. Deu,
"Performance of Piezoelectric Shunts for Vibration Reduction,"
Smart. Mater. Struct.
21 (1), 015008 (2012). |
| 18. | G. Caruso,
"A Critical Analysis of Electric Shunt Circuits Employed
in Piezoelectric Passive Vibration Damping,"
Smart. Mater. Struct.,
No. 10, 1059-1068 (2001). |
| 19. | A. V. Khokhlov,
Theoretical Foundations of Radioelectronics
(Izdat. Saratov Univ., Saratov, 2005)
[in Russian]. |
| 20. | V. Dyke,
"The Electric Network Equivalent of a Piezoelectric Resonator,"
Phys. Review
25 (2), 895A (1925). |
| 21. | C. H. Park,
"On the Circuit Model of Piezoceramics,"
J. Intell. Mater. Syst. Struct.
12, 515-522 (2001). |
| 22. | S. Sherrit, H. D. Wiederick, B. K. Mukherjee, and M. Sayer, "An
Accurate Equivalent Circuit for the Unloaded Piezoelectric Vibrator
in the Thickness Mode," J. Phys. D. Appl. Phys. 30 (16),
2354-2363 (1997). |
| 23. | J. Kim, B. L. Grisso, J. K. Kim, et al., "Electrical Modelling of
Piezoelectric Ceramics for Analysis and Evaluation of Sensory
Systems," in SAS 2008 - IEEE Sensors Applications
Symposium, Atlanta, GA, February 12-14, 2008
(Atlanta, 2008)
pp. 122-127. |
|
| Received |
11 May 2015 |
| Link to Fulltext |
|
| << Previous article | Volume 51, Issue 3 / 2016 | Next article >> |
|
 If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|
Russian 
English