Analytical and Experimental Investigation of Asymmetric Floating Phenomena of Uniform Bodies

1E. N. Gilbert, “How things float,” Journal American Mathematical Monthly, vol. 3, pp. 201 216, 1991.Search in Google Scholar

2J. Mégel and J. Kliava, “Metacenter and ship stability,” American Journal, American Association of Physics Teachers, vol. 78, no. 7, pp. 738 747, 2010.Search in Google Scholar

3A. Karczewski, “The Influence of The Cuboid Float’s Parameters on The stability of A Floating Building,” Polish Maritime Research, vol. 27, no. 107, pp. 16 21, 2020.Search in Google Scholar

4J. Li, “Analysis of The Dynamic Response of Offshore Floating Wind Power Platforms in Waves,” Polish Maritime Research, vol. 27, no. 108, pp. 17 25, 2020.Search in Google Scholar

5K. J. Spyrou, “The stability of floating regular solids,” Ocean Engineering, vol. 257, no. 111615, 2022.Search in Google Scholar

6D. G. AS, RULERS FOR CLASSIFICATION: Inland Navigation vessels, part 6 Additional class notations, 2015.Search in Google Scholar

7H. Auerbach, “Sur un problem de M. Ulam concernant l’équilibre des corps flottants (On a problem of Mr. Ulam concerning the equilibrium of floating bodies),” Studia Math, vol. 7, pp. 121 142, 1938.Search in Google Scholar

8C. L. Bernard, Stability and equilibrium of floating bodies, London: Constable and Company Limited, 1914.Search in Google Scholar

9V. Bertram, Practical ship hydrodynamics, 2nd ed., Oxford: Elsevier Butterworth Heinemann, 2012.Search in Google Scholar

10A. Biran, Ship hydrostatics and stability, 1st ed., Oxford: Elsevier Butterworth Heinemann, 2003.Search in Google Scholar

11S. N. Blagoveshchensky, Theory of ship motions (Transl. from the 1st Russian edition), New York: Dover Publications, 1962.Search in Google Scholar

12H. E. Rossell and L. B. Chapman, Principles of Naval Architecture, Vol. 1, New York: Soc. Naval Architecture and Marine Engineering, 1941.Search in Google Scholar

13E. H. Lockwood, A book of curves, Cambridge University Press, 2007.Search in Google Scholar

14S. M. Ulam, “A collection of mathematical problems,” Science, vol. 132, pp. 665 666, 1960.Search in Google Scholar

15L. Montejano, “On a problem of Ulam concerning a characterization of the sphere,” Studies in Applied Mathematics, vol. 3, pp. 243 248, 1973.Search in Google Scholar

16P. Bouguer, Traité du Navire, de sa construction, et de ses mouvemens (Tratise on Ship’s Construction and Movements), Paris: Jombert, 1746.Search in Google Scholar

17K. D’Angremond and F. C. Van Roode, Breakwaters and Closure Dams, London: Spon Press, 2004.Search in Google Scholar

18P. Erdös, G. Schibler and R. C. Herndon, “Floating equilibrium of symmetrical objects and the breaking of symmetry, Part 1: Prisms,” Am. J. Phys., Am. J. Phys., vol. 60, no. 4, pp. 335-345, 1992.Search in Google Scholar

19H. Ghassemi, I. Ghamari and A. Ashrafi, “Numerical Prediction of Wave Patterns Due to Motion of 3D Bodies by Kelvin-Havelock Sources,” Polish Maritime Research, vol. 23, no. 92, pp. 46-58, 2016.Search in Google Scholar

20T. L. Heath, The works of Archimedes, Dover Publications, 2005.Search in Google Scholar

21K. J. Rawson and E. C. Tupper, Basic Ship Theory, 5th ed., London: Longman, 2001.Search in Google Scholar

22D. R. Derrett and C. B. Barras, Ship stability for masters and mates, 6th ed., Oxford: Elsevier Butterworth-Heinemann, 2006.Search in Google Scholar