Literature cited
M. A. Lavrent'ev and A. Yu. Ishlinskii, “Dynamic forms of stability loss of elastic systems,” Dokl. Akad. Nauk SSSR,64, No. 6 (1949).
A. S. Vol'mir, Stability of Deformable Systems [in Russian], Nauka, Moscow (1967).
V. M. Kornev, “The forms of stability loss of an elastic rod during impact,” Zh. Prikl. Mekhan. i Tekh. Fiz., No. 3 (1968).
V. M. Kornev, “The forms of stability loss of elastic shells under intensive loading,” Izv. Akad. Nauk SSSR, Mekhan. Tverd. Tela, No. 2 (1969).
K. O. Friedrichs, “Asymptotic phenomena in mathematical physics,” Bull. Amer. Math. Soc.,61, 485–504 (1955).
V. Z. Vlasov, Selected Works, Vol. 1 [in Russian], Academy of Sciences of the USSR, Moscow (1962).
R. Courant and D. Hilbert, Methods of Mathematical Physics, Vol. 2, Wiley-Interscience, New York (1962).
V. V. Bolotin, “The density of the frequencies of characteristic oscillations of thin elastic shells,” Prikl. Matem, i Mekhan.,27, No. 2 (1963).
N. N. Bendich and V. M. Kornev, “The density of the characteristic values in stability problems of thin elastic shells,” Prikl. Matem. i Mekhan.,35, No. 2 (1971).
R. G. Surkin, B. M. Zuev, and S. G. Stepanov, “Experimental study of the dynamic stability of spherical segments,” Prikl. Mekhan.,3, No. 8 (1967).
Yu. K. Bivin, “Study of the behavior of cylindrical and spherical shells for short duration loading,” in: Transient Deformations of Shells and Plates [in Russian], Tallin (1967).
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 4, pp. 122–128, July–August, 1972.
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Kornev, V.M. Development of dynamic forms of stability loss of elastic systems under intensive loading over a finite time interval. J Appl Mech Tech Phys 13, 536–541 (1972). https://doi.org/10.1007/BF00850399
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DOI: https://doi.org/10.1007/BF00850399