Literature cited
A. D. Drozdov, V. B. Kolmanovskii, and V. D. Potapov, “Stability of rods made of a nonuniformly aging viscoelastic material,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 2 (1984).
A. D. Drozdov and V. B. Kolmanovskii, “Stability of structures made of viscoelastic material,” in: Mechanics of Deformable Bodies and Structures [in Russian], Izd. Akad. Nauk ArmSSR, Erevan (1985).
N. Kh. Arutyunyan, A. D. Drozdov, and V. B. Kolmanovskii, “Stability of viscoelastic bodies and structural elements,” in: Results of Science and Technology. Ser. Deformable Solid Mechanics,19, VINITI (1987).
V. V. Bolotin, Random Oscillations of Elastic Systems fin Russian], Nauka, Moscow (1979).
V. D. Potapov, Stability of viscoelastic structures with the action of steady-state sporadic compressive loads,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 3 (1984).
V. D. Potapov, Stability of Viscoelastic Structural Elements [in Russian], Stroiizdat, Moscow (1985).
V. D. Potapov, “Stability of rods with stochastic excitation,” Prikl. Mat. Mekh.,53, No. 6 (1989).
N. Kh. Arutyunayan and V. B. Kolmanovskii, Creep Theory for Nonuniform Bodies [in Russian], Nauka, Moscow (1983).
C. M. Dafermos, “An abstract Volterra equation with applications to linear viscoelasticity,” J. Diff. Eq.,7, No. 3 (1970).
C. M. Dafermos, “Asymptotic stability in viscoelasticity,” Arch. Rat. Mech. Anal.,37, No. 3 (1970).
A. S. Vol'mir, Stability of Elastic Systems [in Russian], Fizmatgiz, Moscow (1963).
I. I. Gikhman, “The first initial boundary problem for a stochastic hyperbolic equation,” Teor. Sluchainykh Protsessov, No. 8 (1980).
O. A. Ladyzhenskaya, Boundary Problems in Mathematical Physics [in Russian], Nauka, Moscow (1973).
A. V. Skorokhod, Asymptotic Methods of Stochastic Differential Equation Theory [in Russian], Naukova Dumka, Kiev (1987).
L. Kollats, Problems in Characteristic Values [in Russian], Nauka, Moscow (1968).
Author information
Authors and Affiliations
Additional information
Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 5, pp. 124–131, September–October, 1991.
Rights and permissions
About this article
Cite this article
Drozdov, A.D., Kolmanovskii, V.B. Stability of a viscoelastic rod with a sporadic longitudinal load. J Appl Mech Tech Phys 32, 772–779 (1991). https://doi.org/10.1007/BF00851952
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00851952