Journal of Soviet Mathematics

, Volume 65, Issue 2, pp 1511–1513 | Cite as

An estimate of the time of a direct-axis collision of a body of finite mass and a semiinfinite cylindrical shell with fluid

  • A. P. Kovalenko
  • B. P. Ivashchenko
Mechanics of Continuous Media
  • 13 Downloads

Abstract

The problem of a direct-axis collision of a body affinite mass and a semi-infinite cylindrical shell with fluid is considered, and is solved using an analytic-numerical method, which is based on an application of the Laplace-Carson transform with its subsequent numerical inverse. An expression is found for the interaction force for the body and the hydro-elastic system, which allows us to determine the time of collision. Numerical results of calculations of the interaction force and the time of collision are given.

Keywords

Cylindrical Shell Interaction Force Finite Mass Numerical Inverse 
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References

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    E. L. Nikolai, “On the theory of a direct-axis collision of elastic bars,” Trudy Leningr. Industr. Inst., Razd. Fiz. Mat. Nauk, No. 3, Issue 1, 85–92 (1939).Google Scholar
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    A. P. Kovalenko, “An analysis of transient processes in a cylindrical shell with a fluid under a striking agitation,” Prikl. Mekhanika,15, No. 11, 68–75 (1979).Google Scholar
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    V. I. Krylov and N. S. Skoblya, Methods of the Approximate Fourier Transform and Inverses of the Laplace Transform [in Russian], Nauka, Moscow (1974).Google Scholar

Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • A. P. Kovalenko
    • 1
  • B. P. Ivashchenko
    • 1
  1. 1.Institute of Mechanics of the Ukrainian Academy of SciencesUkraine

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