Summary
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.
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References
P. Wilh. Werner:Vibration of finite water bodies with free surface. Geofisica pura e applicata, Milano, Vol. 22, Fasc. 3–4 (1952).
See, for instance,H. S. Carlslaw andJ. C. Jaeger:Operational methods in Applied Mathematics. Oxford University Press, 1947.
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J. McMahon:On the roots of the Bessel and certain related functions. Ann. of Math. X, University of Virginia, Nov. 1894.
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Ph. Frank undR. v. Mises:Die Differentialgleichungen der Mechanik und Physik. Vieweg u. Sohn, Braunschweig, 1930.
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Werner, P.W. Vibration of hydraulic vessels. Geofisica Pura e Applicata 23, 36–42 (1952). https://doi.org/10.1007/BF01992455
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DOI: https://doi.org/10.1007/BF01992455