Literature Cited
K. Bate and E. Wilson, Numerical Methods of Analysis and the Finite Elements Method [Russian translation], Stroiizdat, Moscow (1982).
E. I. Bespalova, “One approach to the study of the free vibrations of elastic structural elements,” Prikl. Mekh.,24, No. 1, 43–48 (1988).
E. I. Bespalova, “Solution of problems of the theory of elasticity by complete-system methods,” Zh. Vychisl. Mat. Mat. Fiz.,29, No. 9, 1346–1353 (1989).
V. T. Grinchenko and V. V. Meleshko, Harmonic Vibrations and Waves in Elastic Bodies [in Russian], Naukova Dumka, Kiev (1981).
P. A. Zhilin and T. P. Il'icheva, “Spectra and modes of vibration of a rectangular parallelepiped obtained on the basis of the theory of elasticity,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 2, 94–103 (1980).
A. Love, Mathematical Theory of Viscoelasticity [Russian translation], ONTI, Moscow (1935).
V. Novatskii, Theory of Elasticity [Russian translation], Mir, Moscow (1975).
E. Andoh and Y. Kagawa, “Finite element simulation of a ultrasonic vibrator for plastic welding,” IEEE Ultrason. Symp. Proc.,1, 536–566 (1985).
J. A. Fromme and W. A. Leissa, “Free vibrations of the rectangular parallelepiped,” J. Acoust. Soc. Am.,48, No. 1, 290–298 (1970).
H. P. W. Gottlieb, “Uniqueness and properties of an interesting class of natural oscillations of a solid rectangular parallelepiped,” J. Elast.,11, No. 1, 425–428 (1981).
Additional information
Institute of Mechanics, Academy of sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 27, No. 11, pp. 69–77, November, 1991.
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Senchenkov, I.K., Bespalova, E.I., Kozlov, V.I. et al. Possibilities of a refined method of calculating plane vibrations of lamellar bodies. Soviet Applied Mechanics 27, 1096–1103 (1991). https://doi.org/10.1007/BF00887867
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DOI: https://doi.org/10.1007/BF00887867