Partitioned schemes of the finite-element method for dynamic problems of acoustoelectroelasticity

Journal of Applied Mathematics and Mechanics

Volumn 64, Issue 3, 2000, Pages 367-377

  Belokon', A V ^a   Eremeyev, V A ^a   Nasedkin, A V ^a   Solov'yev, A N ^a  

^a NONE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034347993     PISSN: 00218928     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8928(00)00059-9     Document Type: Article

References (15)

1. Rao, S. S., and Sunar, M., Analysis of distributed thermopiezoelectric sensors and actuators in advanced intelligent structures. AIAA Journal, 1993, 31, 7, 1280-1286.
2. Nasedkin, A. V., The analysis, using the finite-element method, of piezoelectric transducers loaded by an acoustic medium. Izv. Vuzov. Sev-Kavkaz. Region Yestestv. Nauki, 1999, 1, 48-51.
3. Belokon', A. V. and Nasedkin, A. V., Some properties of the natural frequencies of electroelastic bodies of limited dimensions. Prikl. Mat. Mekh., 1996, 60, 1, 151-158.
4. ANSYS. Theory Reference. Rel. 5.5. Edited by P. Kothnke. ANSYS Inc. Houston, TX, 1998.
5. Zharii, O. Yu., An eigenfunction expansion method in problems of dynamic electroelasticity. Prikl. Mat. Mekh., 1990, 54, 1, 109-115.
6. Vol'mir, A. S., Kuranov, B. A. and Turbaivskii, A. T., The Statics and Dynamics of Complex Structures: Applied Multilevel Research Methods. Mashinostroyeniye, Moscow, 1989.
7. Nasedkin, A. V., Alternative formations of Newmark's and Wilson's methods. In Present Problems in Continuum Mechanics. Proceedings of the Second International Conference. Rostov-on-Don, 1996. MP "Kniga", Rostov-on-Don, 1996, Vol. 2, 115-119.
8. Wojcik, G. L., Vaughan, D. K., Abboud, N. Mould, J. Electromechanic̀al modeling using explicit time-domain finite elements. Proc. IEEE Ultrason. Symp., 1993, 2, 1107-1112.
9. Fried, I., and Malkus, D. S., Finite element mass matrix lumping by numerical integration with no convergence loss. Int. J. Solids and Structures, 1975, 11, 4, 461-466.
10. Hinton, E., Rock, T., and Zienkewicz, O. C. A note on mass lumping and relating processes in finite element method. Int. J. Earthquake. Eng. and Struct. Dyn., 1976, 4, 3, 245-249.
11. Nasedkin, A. V., A finite-element dynamic analysis of piezoelectric acoustic-wave radiators. In: Present Problems of Continuum Mechanics. Proceedings of the 4th International Conference, Rostov-on-Don. Izd. Sev.-Kavkaz. Nauch. Tsentra Vysshikh Shkol, Rostov-on-Don, 1999, Vol. 2, 89-93.
12. Lehoucq, R. B., Sorensen, D. C., Vu, P. and Yang C. ARPACK: An Implementation of the Implicitly Re-started Arnoldi Iteration that Computes Some of the Eigenvalues and Eigenvectors of a Large Sparse Matrix. Available from netlib@oml. gov under the directory scalapack, 1996.
13. Akopov, O. N., Belokon', A. V., Nadolin, K. A. et al., Statistical analysis of piezoelectric devices in ACELAN. I. Structure and possibilities II. Numerical experiments. In Present Problems of Continuum Mechanics. Proceedings of the 4th International Conference. Rostov-on-Don, 1998. Izd. Sev.-Kavk. Nauch Tsentra Vysshikh Shkol. Rostov-on-Don, 1999, Vol. 1, 14-22.
14. Aronov, B. S., Piezoelectric Ceramic Electromechanical Transducers. Energoatomizdat, Leningrad, 1990.
15. Lavrinenko, V. V., Piezoelectric Transformers. Energiya, Moscow, 1975.