Sloshing in compound cylindrically-conical reservoirs

Volume 2, Issue 2, April 2019     |     PP. 26-40      |     PDF (454 K)    |     Pub. Date: July 15, 2019
DOI:    276 Downloads     39325 Views  

Author(s)

Strelnikova E., A.N. Podgorny Institute for Mechanical Engineering Problems, 2/10 Pozharsky St., Kharkiv, 61046, Ukraine; V.N. Karazin Kharkiv National University, Svobody sq., 4, Kharkiv, 61022, Ukraine
Sirenko V., Yangel Yuzhnoye State Design Office
Gnitko V., A.N. Podgorny Institute for Mechanical Engineering Problems, 2/10 Pozharsky St., Kharkiv, 61046, Ukraine
Degtyarev K., A.N. Podgorny Institute for Mechanical Engineering Problems, 2/10 Pozharsky St., Kharkiv, 61046, Ukraine
Naumenko Yu., A.N. Podgorny Institute for Mechanical Engineering Problems, 2/10 Pozharsky St., Kharkiv, 61046, Ukraine

Abstract
The issue of vibrations of fluid-filled compound shells is considered. The shell is supposed to be consisted of cylindrical and conical parts. The liquid is ideal and incompressible, and its motion is potential. The fluid pressure acting on the wetted shell surface is obtained from the linearized Bernoulli’s equation for a potential flow. The frequencies and vibration modes are defined using reduced boundary element method. Both sloshing effect and elasticity of the shell walls are taking into account. The possibility is discussed of replacing the compound cylindrically-conical shell by cylindrical one of the equal height at sloshing frequency analysis. The validity of hypothesis of spectrum separation for sloshing and elastic modes is testified. The most dangerous frequencies from the point of view of resonance and stability losing are estimated for compound cylindrically-conical shells.

Keywords
Compound cylindrically- conical shells, reduced boundary element method, sloshing, frequencies and modes of vibration

Cite this paper
Strelnikova E., Sirenko V., Gnitko V., Degtyarev K., Naumenko Yu., Sloshing in compound cylindrically-conical reservoirs , SCIREA Journal of Mechanical Engineering. Volume 2, Issue 2, April 2019 | PP. 26-40.

References

[ 1 ] Sidi, M. J. Spacecraft Dynamics and Control, Cambridge University Press, New York, 1997.
[ 2 ] Robinson, H.G.R. and C.R. Hume. “Europa I: Flight Trial of F1- 5th June,1964, 1964.
[ 3 ] Space Exploration Technologies Corp. Demo Flight 2 Flight Review Update, June 15, 2007
[ 4 ] R.A. Ibrahim. Recent Advances In Liquid Sloshing Dynamics. / R.A. Ibrahim, V.N. Pilipchuck, T. Ikeda //Applied Mechanics Reviews, Vol. 54, No. 2, pp. 133-199, 2001.
[ 5 ] R.A. Ibrahim. Liquid Sloshing Dynamics. Cambridge University Press, New York, 2005.
[ 6 ] Damatty E. A., Mirza F. A. and Korol R. M., Stability of Elevated Liquid-Filled Conical Tanks under Seismic Loading, Part II—Application, //Earthquake Engng. Struct. Dyn. 26, pp. 1209—1229, 1997.
[ 7 ] Kim H.K., Nguen T.T., Kim S.B. Nonlinear Observer for Application of Fermentation Process in Stirred Tank Bioreactor // The Institute of Control, Automation, and Systems Engineers KOREA, V.4, No.3, pp. 244-251, 2002.
[ 8 ] Gnitko V., Marchenko U., Naumenko V., Strelnikova E., Forced vibrations of tanks partially filled with the liquid under seismic load. Proc. of XXXIII Conference Boundary elements and other mesh reduction methods, WITPress, Transaction on Modeling and Simulation. V. 52. pp. 285-296, 2011.
[ 9 ] Degtyarev K., Gnitko V., NaumenkoV., Strelnikova E., Reduced Boundary Element Method for Liquid Sloshing Analysis of Cylindrical and Conical Tanks with Baffles. //Int. Journal of Electronic Engineering and Computer Sciences, V1, No1, 14-27, 2016.
[ 10 ] Gavrilyuk, I. Lukovsky I., Trotsenko, Yu. and Timokha, A. Sloshing in a vertical circular cylindrical tank with an annular baffle. Part 1. Linear fundamental solutions. Journal of Engineering Mathematics, vol.54, pp. 71-88, 2006.
[ 11 ] Strelnikova E.,Yeseleva E., Gnitko V., Naumenko V. Free and forced vibrations of the shells of revolution interacting with the liquid, Proc. of XXXII Conference Boundary elements and other mesh reduction methods, WITPress, Transaction on Modeling and Simulation. V.50, pp. 203-211, 2010.
[ 12 ] Gnitko V., Degtyariov K., Naumenko V., Strelnikova E. BEM and FEM analysis of the fluid-structure Interaction in tanks with baffles. //Int. Journal of Computational Methods and Experimental Measurements, V 5, No 3, pp. 317-328, 2017.
[ 13 ] Ravnik J., Strelnikova E., Gnitko V., Degtyarev K., Ogorodnyk U., BEM and FEM analysis of fluid-structure interaction in a double tank. // Engineering Analysis with Boundary Elements, V 67, pp. 13-25, 2016.
[ 14 ] Brebbia, C.A., Telles, J.C.F. & Wrobel, L.C. Boundary Element Techniques, Springer-Verlag: Berlin and New York, 1984
[ 15 ] Gnitko V., Degtyariov K., Naumenko V., Strelnikova E. Coupled Bem And Fem Analysis Of Fluid-structure Interaction In Dual Compartment Tanks //Int. Journal of Computational Methods and Experimental Measurements, V 6, No 6, pp. 976-988, 2018.
[ 16 ] Avramov K.V., Strel’nikova E A., Pierre C. Resonant many–mode periodic and chaotic self–sustained aeroelastic vibrations of cantilever plates with geometrical nonlinearities in incompressible flow. Nonlinear Dynamics, N 70, pp. 1335 – 1354, 2012.