The transient heaving motion of floating eylinders
- R. W. Yeung
- … show all 1 hide
Purchase on Springer.com
$39.95 / €34.95 / £29.95*
Rent the article at a discountRent now
* Final gross prices may vary according to local VAT.
The transient heave response of a freely floating cylinder with given initial conditions is obtained by a simultaneous time-domain solution of the fluid-motion and rigid-body dynamics problems. Volterra's method is used to derive the integral equation associated with the fluid motion. It is shown that the unit initial-velocity response is simply the time-derivative of the unit initial-displacement response multiplied by one half of the infinite-fluid 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 semi-circular, triangular, and rectangular cylinders are presented and discussed. Experimental measurements for the case of a semi-immersed 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 time-dependent free surface problems. J. Soc. Nav. Archit. Japan 146 (1979) 127–135.
- H. Bateman, Tables of integral transforms, Vol. 1, McGraw-Hill, 1954.
- R. B. Chapman, Large-amplitude transient motion of two-dimensional 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, Initial-value 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 integral-equation method for time-harmonic free-surface flows, 1st Int. Conf. on Numerical Ship Hydrodynamics, Gaithersburg, Md. (1975) 581–608.
- The transient heaving motion of floating eylinders
Journal of Engineering Mathematics
Volume 16, Issue 2 , pp 97-119
- Cover Date
- Print ISSN
- Online ISSN
- Kluwer Academic Publishers
- Additional Links
- R. W. Yeung (1)
- Author Affiliations
- 1. Department of Ocean Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts, U.S.A.