Literature Cited
A. M. Volkisev, “Analogy in the finite-element formulation of problems of elasticity and electroelasticity”, Transactions of the 12th Conference of Young Scientists. Institute of Mechanics of the Ukrainian Academy of Sciences, Kiev. Submitted to VINITI 20. 07. 87; No. 5389-B87.
L. V. Borisenko, V. G. Savin, and N. A. Shul'ga, “Axisymmetric vibrations of a radially polarized cylinder”, Prikl. Mekh.,22, No. 7, 109–112 (1986).
O. Zienkiewicz, The Finite Elements Method in Engineering [Russian translation], Mir, Moscow (1975).
V. N. Lazutkin and A. I. Mikhailov, “Vibrations of piezoceramic cylinders of finite dimensions with heightwise polarization,” Akust. Zh.,22, No. 3, 393–399 (1976).
V. N. Lazutkin, Yu. V. Tsyganov, and V. A. Klyushnichenko, “Radial vibrations and electrical impedance of piezoceramic rings with heightwise polarization,” Piezoelectric Materials and Transducers: Inter-Institute Collection. Rostov State University, Rostov-on-Don (1971), pp. 4–9.
A. I. Motovilovets, A. M. Bolkisev, and N. A. Shul'ga, “Viscoelastic vibrations of a piezoceramic cylinder with electrical excitation,” Prikl. Mekh.,25, No. 10, 32–38 (1989).
H. Allik and T. J. R. Hughes, “Finite element method for piezoelectric vibration,” Int. J. Num. Meth. Eng.,2, 151–157 (1970).
H. Allik and K. M. Webman, “Vibrational response of sonar transducers using piezoelectric finite elements,” J. Acoust. Soc. Am.,56, No. 6, 1782–1791 (1974).
R. Holland and E. P. EerNisse, Design of Resonant Piezoelectric Devices, MIT Press, Cambridge (1969).
Y. Kagawa and G. M. L. Gladwell, “Application of finite element method to vibration problems in which electrical and mechanical systems are coupled. An analysis of flexure-type vibrators with electrostrictive transducers,” IEEE Trans. Sonics Ultrason.,SU-17, No. 1, 41 (1970).
Y. Kagawa and T. Yamabuchi,“Finite element simulation of two-dimensional electromechanical resonators,” IEEE Trans. Sonics Ultrason.,SU-21, No. 4, 273 (1974).
Additional information
Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 26, No. 8, pp. 53–59, August, 1990.
Rights and permissions
About this article
Cite this article
Bolkisev, A.M. Electroelastic vibrations of conical elements. Soviet Applied Mechanics 26, 760–765 (1990). https://doi.org/10.1007/BF00891793
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00891793