Geofisica pura e applicata

, Volume 23, Issue 1, pp 36–42 | Cite as

Vibration of hydraulic vessels

  • P. Wilh Werner


The present paper is a continuation of a previous study by the author(1), dealing with expansion waves in fluids. Relating to hydro-dynamic effects due to harmonic vibrations, with special reference to earthquakes, it contains solutions for some rigid-walled vessels of geometrically determined shape. A salient feature of the problem is that the motion is assumed discontinuous in the sense that it starts from the initial condition of rest.


Special Reference Salient Feature Expansion Wave Harmonic Vibration 
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  1. (1).
    P. Wilh. Werner:Vibration of finite water bodies with free surface. Geofisica pura e applicata, Milano, Vol. 22, Fasc. 3–4 (1952).Google Scholar
  2. (2).
    See, for instance,H. S. Carlslaw andJ. C. Jaeger:Operational methods in Applied Mathematics. Oxford University Press, 1947.Google Scholar
  3. (3).
    H. Lamb:Hydrodynamics. University Press, Cambridge, 1932.Google Scholar
  4. (4).
    J. McMahon:On the roots of the Bessel and certain related functions. Ann. of Math. X, University of Virginia, Nov. 1894.Google Scholar
  5. (5).
    G. N. Watson:A treatise on the theory of Bessel functions. 2nd edition, University Press, Cambridge, 1944.Google Scholar
  6. (6).
    Ph. Frank undR. v. Mises:Die Differentialgleichungen der Mechanik und Physik. Vieweg u. Sohn, Braunschweig, 1930.Google Scholar

Copyright information

© Istituto Geofisico Italiano 1952

Authors and Affiliations

  • P. Wilh Werner
    • 1
  1. 1.Vattenbyggnadsbyrån (VBB), Consulting EngineersStockholmSweden

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