Skip to main content
Log in

A numerical study of the dynamics of elastic articulated systems in a fluid

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

We propose a method and an algorithm for computing the dynamics of elastic structures of articulated form in a fluid flow taking account of the weakening in certain structural elements. In describing the motion we use two sets of radius-vectors, which are approximated in the computations by parametric local splines of first degree. The possibilities of the proposed method are illustrated using the example of the study of the dynamics of transition processes in an articulated anchor-buoy structure, which arise when there is an abrupt change in the direction of the fluid flow velocity. We determine the kinematic and force characteristics of the structure under various changes in the direction of the flow velocity. We determine the structural elements in which the weakening occurs. Three figures. Bibliography: 7 titles.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature Cited

  1. J. Newman,Marine Hydrodynamics, MIT Press, Cambridge (1977).

    Google Scholar 

  2. K. Washizu,Variational Methods in the Theory of Elasticity and Plasticity, 3rd ed., Pergamon Press, Oxford (1982).

    Google Scholar 

  3. L. D. Landau and E. M. Lifshits,Theory of Elasticity, Pergamon Press, Oxford (1986).

    Google Scholar 

  4. A. I. Bezverkhii, “Computation of the dynamics of flexible fibers in a fluid,”Probl. Gidromekh. Osv. Ok., Ukr. SSR Academy of Sciences, Institute of Hydromechanics, 23–24 (1987).

  5. Yu. S. Zav'yalov, B. I. Kvasov, and V. L. Miroshnichenko,Spline-function Methods [in Russian], Moscow (1980).

  6. A. George and J. Liu,Computer Solution of Large Sparse Positive-Definite Systems of Equations, Prentice-Hall, Englewood Cliffs (1981)

    Google Scholar 

  7. A. I. Bezverkhii, “On vertical displacements of a buoy in a disturbance,”Prikl. Mekh., No. 7, 78–83 (1995).

    Google Scholar 

Download references

Authors

Additional information

Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 26, 1996, pp. 128–134.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shul'ga, N.A., Bezverkhii, A.I. & Silenko, O.I. A numerical study of the dynamics of elastic articulated systems in a fluid. J Math Sci 86, 3168–3171 (1997). https://doi.org/10.1007/BF02355720

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02355720

Keywords

Navigation