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Articles

Determination of all planar sloshing containers found analytically using the inverse solution method

Pages 309-325 | Received 30 Oct 2015, Accepted 26 Feb 2016, Published online: 22 Mar 2016

References

  • Lamb H. Hydrodynamics. 6th ed. New York (NY): Cambridge University Press, Dover; 1945.
  • Moiseev NN. Introduction to the theory of oscillations of liquid-containing bodies. Adv. Appl. Mech. 1964;8:233–289.
  • Moiseev NN, Petrov AA. The calculation of free oscillations of a liquid in a motionless container. Adv. Appl. Mech. 1968;9:91–154.
  • Ibrahim RA. Liquid sloshing dynamics: theory and applications. Cambridge: Cambridge University Press; 2005.
  • Faltisen OM, Timokha AN. Sloshing. Cambridge: Cambridge University Press; 2009.
  • Troesch BA. Free oscillations of a fluid in a container. In: Rudolph EL, editor. Boundary problems in differential equations. Madison (WI): University of Wisconsin; 1960. p. 279–299.
  • Nemenyi PF. Recent developments in inverse and semi-inverse methods in the mechanics of continua. Vol. II, Advances in applied mechanics. New York (NY): Academic Press; 1951.
  • Euler L. Principia mostus fluidorum [Principles of most fluids]. Novi Comm. Acad. Sci. Imp. Petropol. 1761;VI:271–311.
  • Sen BM. Waves in canals and basins. Proc. London Math. Soc. 1927;26:363–376.
  • Storchi E. Piccole oscillazioni dell’acqua contenuta da pareti piane [Small water oscillations contained by flat walls]. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Nat. 1952;12:544–552.
  • Troesch BA, Weidman PD. Containers with isochronous fluid oscillations. SIAM J. Appl. Math. 1972;23:477–489.
  • Weidman PD, Mamrol AJ. Measurements of fluid oscillations in isochronous containers. Phys. Fluids. 1980;23:406–407.
  • Weidman PD. Isochronous containers. Phys. Fluids. 1986;29:2324–2325.
  • Aghabeigi M. Shape design of vessels for sloshing frequency. Inverse Prob. Sci. Eng. 2013;21:1199–1218.
  • Roberts C. The coupled motions of containers and their sloshing liquid loads [dissertation for the MMath degree]. Norwich: School of Mathematics, University of East Anglia; 2003.

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