The transient heaving motion of floating eylinders
 R. W. Yeung
 … show all 1 hide
Rent the article at a discount
Rent now* Final gross prices may vary according to local VAT.
Get AccessSummary
The transient heave response of a freely floating cylinder with given initial conditions is obtained by a simultaneous timedomain solution of the fluidmotion and rigidbody dynamics problems. Volterra's method is used to derive the integral equation associated with the fluid motion. It is shown that the unit initialvelocity response is simply the timederivative of the unit initialdisplacement response multiplied by one half of the infinitefluid virtual mass of the cylinder. Numerical evaluation of integrals related to the unsteady waterwave Green function is facilitated by expressing them in terms of the complex error function. Results for the transient motion of semicircular, triangular, and rectangular cylinders are presented and discussed. Experimental measurements for the case of a semiimmersed circular cylinder agree excellently with the theoretical calculations.
 M. Abramowitz, and I. Stegun, Handbook of mathematical functions, Dover Publ. (1967) 1046.
 H. Adachi and S. Ohmatsu, On the influence of irregular frequencies in the integral equation solutions of the timedependent free surface problems. J. Soc. Nav. Archit. Japan 146 (1979) 127–135.
 H. Bateman, Tables of integral transforms, Vol. 1, McGrawHill, 1954.
 R. B. Chapman, Largeamplitude transient motion of twodimensional floating bodies, J. Ship Res. 29 (1979) 20–31.
 W. E. Cummins, The impulse response function and ship motions, Schiffstechnik 9 (1962) 101–109.
 N. Daoud, Potential flow near to a fine ship's bow, Univ. of Michigan, Dept. of Naval Arch. & Marine Eng., Rep. 177 (1975) pp. 53–54.
 A. B. Finkelstein, The initial value problem for transient water waves, Comm. Pure Appl. Math. 10 (1957) 511–522.
 W. Frank, Oscillation of cylinders in or below the free surface of deep fluids, Naval Ship Res. Developm. Center, Washington D.C., Rep. No. 2375 (1967).
 W. Gautschi, Efficient computation of the complex error functions, SIAM J. Num. Anal. 7 (1970) 187–198.
 Soichi Ito, Study of the transient heave oscillation of a floating cylinder, M.S. Thesis, Massachusetts Institute of Technology, Dept. of Ocean Eng. (1977).
 O. D. Kellogg, Foundation of potential theory, Springer, Berlin (1929), also Dover Publ., New York.
 J. Kotik and J. Lurye, Some topics in the theory of coupled ship motions, 5th Symposium on Naval Hydrodynamics, Bergen, Norway (1964) pp. 415–424.
 H. Lamb, Hydrodynamics, Cambridge University Press (1932), also Dover Publ. New York, 1945.
 S. J. Maskell and F. Ursell, The transient motion of a floating body, J. Fluid Mech. 44 (1970) 303–313.
 S. Ohmatsu, On a wave making theory of cylinders at the early stage of oscillation, J. Soc. Nav. Archit. Japan 134 (1973) 75–84.
 F. Ursell, The decay of the free motion of a floating body, J. Fluid Mech. 19 (1964) 305–319.
 J. V. Wehausen, Initialvalue problem for the motion in an undulating sea of a body with fixed equilibrium position, J. Eng. Math. 1 (1967) 1–17.
 R. W. Yeung, A hybrid integralequation method for timeharmonic freesurface flows, 1st Int. Conf. on Numerical Ship Hydrodynamics, Gaithersburg, Md. (1975) 581–608.
 Title
 The transient heaving motion of floating eylinders
 Journal

Journal of Engineering Mathematics
Volume 16, Issue 2 , pp 97119
 Cover Date
 19820501
 DOI
 10.1007/BF00042549
 Print ISSN
 00220833
 Online ISSN
 15732703
 Publisher
 Kluwer Academic Publishers
 Additional Links
 Topics
 Industry Sectors
 Authors

 R. W. Yeung ^{(1)}
 Author Affiliations

 1. Department of Ocean Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts, U.S.A.