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Asymptotic analysis of the behavior of an elastic bar under aperiodic intensive loading

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

It is established that when aperiodic loads of large intensity act on an elastic bar, the higher modes of stability loss have the highest rates of growth of deflections. A method is indicated for determining the numbers of these modes, when the effect of the longitudinal vibrations on the transverse vibrations is taken into account and when it is not taken into account. A comparison of the results obtained with results of other authors [1–7] is presented.

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Literature cited

  1. M. A. Lavrent'ev and A. Yu. Ishlinskii, “Dynamic modes of loss of stability of elastic systems,” Dokl. Akad. Nauk SSSR,64, No. 6 (1949).

  2. A. S. Vol'mir, Stability of Deformable Systems [in Russian], Nauka, Moscow (1967).

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  3. D. L. Anderson and H. E. Lindberg, “Dynamic pulse buckling of cylindrical shells under transient lateral pressure,” AIAA Journal,6, No. 4 (1968).

  4. L. I. Slepyan, “Investigation of nonstationary strains by means of series defined on a variable interval,” Izv. Akad. Nauk SSSR, Mekhanika, No. 4 (1965).

  5. V. M. Kornev, “On modes of loss of stability of an elastic bar under impact,” Zh. Prikl. Mekh. i Tekh. Fiz., No. 3 (1968).

  6. H. E. Lindberg, “Buckling of a very thin cylindrical shell due to an impulsive pressure,” Trans. ASME, Ser. E, J. Appl. Mech.,3l, No. 2 (1964).

  7. B. M. Malyshev, “Stability of bars under impulsive pressure,” Inzh. Zh., Mekh. Tverd. Tela, No. 4 (1966).

  8. N. N. Moiseev, Asymptotic Methods of Nonlinear Mechanics [in Russian], Nauka, Moscow (1969).

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  9. A. L. Goldenveizer, Theory of Elastic Thin Shells, Pergamon (1962).

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Authors and Affiliations

  1. Novosibirsk

    V. M. Kornev

Authors
  1. V. M. Kornev
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Additional information

Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 3, pp. 160–170, May–June, 1972.

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Kornev, V.M. Asymptotic analysis of the behavior of an elastic bar under aperiodic intensive loading. J Appl Mech Tech Phys 13, 398–406 (1972). https://doi.org/10.1007/BF00850433

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  • DOI: https://doi.org/10.1007/BF00850433

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