Forced axisymmetric resonant vibrations and vibrational heating of viscoelastic, physically nonlinear, closed, spherical, and infinitely long cylindrical shells and ring with piezoelectric sensor and actuator are considered. The effect of physical nonlinearity of passive material on the vibration amplitude and vibrational heating temperature is studied. The possibility of active damping of vibrations by piezoelectric sensors and actuators is demonstrated.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. F. Bulat, V. N. Dyrda, V. G. Karnaukhov, at al., “Applied Mechanics of Viscoelastic Media” in: Forced Vibrations and Vibrational Heating of Inelastic Bodies [in Russian], Vol. 4, Nauk. Dumka, Kiev (2014).
V. G. Karnaukhov and I. F. Kirichok, Coupled Problems in Theory of Viscoelastic Plates and Shells [in Russian], Nauk. Dumka, Kiev (1986).
V. G. Karnaukhov, V. M. Sichko, and A. S. Karpenyuk, “Effect of physical nonlinearity on resonant vibrations and vibrational heating of three-layer inelastic rectangular plates,” Teor. Prikl. Mekh., No. 43, 102–110 (2007).
A. M. Bolkisev, V. L. Karlash, and N. A. Shulga, “Temperature dependence of the properties of piezoelectric ceramics,” Int. Appl. Mech., 20, No. 7, 650–653 (1984).
F. Gandni, “Influence of nonlinear viscoelastic material characterization on performance of constrained layer damping treatment,” AIAA J., 39, No. 5, 924–931 (2001).
V. G. Karnaukhov, “Termomechanics of coupled fields in passive and piezoactive inelastic bodies under harmonic strains,” J. Ther. Stres., 26, Nos. 6–7, 785–815 (2005).
I.F. Kirichok, “Resonant axisymmetric vibration and vibrational heating of a viscoelastic cylindrical shell with piezolayers subject to electromechanical excitation,” Int. Appl. Mech., 51, No. 5, 567–573 (2015).
I.F. Kirichok, “Damping the radial vibrations and self-heating of viscoelastic shell elements with piezoelectric sensor and actuator,” Int. Appl. Mech., 52, No. 4, 354–358 (2016).
Schwartz Mel M (Ed.), Encyclopedia of Smart Materials, John Wiley and Sons, New York (2002).
H. S. Tzou and L. A. Bergman, Dynamic and Control of Distributed Systems, Cambridge University Press, Cambridge (1998).
Y. A. Zhuk and I. A. Guz’, Active damping of the forced vibration of a hinged beam with piezoelectric layers, geometrical and physical nonlinearities taken into account,” Int. Appl. Mech., 45, No. 1, 94–108 (2009).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Prikladnaya Mekhanika, Vol. 53, No. 5, pp. 87–93, 2017.
Rights and permissions
About this article
Cite this article
Kirichok, I.F. Resonant Vibrations and Vibrational Heating of Physically Nonlinear Viscoelastic Shells and Their Damping Using Piezoelectric Sensor and Actuator. Int Appl Mech 53, 556–561 (2017). https://doi.org/10.1007/s10778-017-0836-0
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10778-017-0836-0