Complex dynamics in non-Newtonian fluid-structure interaction
F. Pellicano, A. Zippo, G. Iarriccio
download PDFAbstract. This paper presents the results of an extensive experimental campaign focused on the analysis of the dynamic interactions between an elastic structure and a non-Newtonian fluid. The structure is a circular cylindrical shell clamped in one end to a shaking table and in the other end to a heavy rigid disk. The shell has been investigated both in presence and absence of fluid. The fluid is a mixture of water and corn starch flour, commonly called Oobleck. The experiments were carried out at low and high vibrating energy, in order to clarify the influence of the fluid in different conditions: changing of modal properties, onset of complex dynamics when the fluid-solid transitions take place in the fluid.
Keywords
Nonlinear Dynamics, Complexity, Fluid Structure Interaction, Experiments
Published online 3/17/2022, 6 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA
Citation: F. Pellicano, A. Zippo, G. Iarriccio, Complex dynamics in non-Newtonian fluid-structure interaction, Materials Research Proceedings, Vol. 26, pp 449-454, 2023
DOI: https://doi.org/10.21741/9781644902431-73
The article was published as article 73 of the book Theoretical and Applied Mechanics
Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
References
[1] C.D. Babcock, Shell stability, Journal of Applied Mechanics 50 (1983) 935–940. https://doi.org/10.1115/1.3167206
[2] C.R. Calladine, Understanding imperfection-sensitivity in the buckling of thin-walled shells, Thin-Walled Structures 23 (1995). https://doi.org/10.1016/0263-8231(95)00013-4
[3] J.G. Teng, Buckling of thin shells: recent advances and trends, Applied Mechanics Reviews 49 (4) (1996) 263–274. https://doi.org/10.1115/1.3101927
[4] Alijani, F., Amabili, M.: Non-linear vibrations of shells: a literature review from 2003 to 2013. Int. J. Non-linear Mech. 58, 233–257 (2014). https://doi.org/10.1016/j.ijnonlinmec.2013.09.012
[5] F. Pellicano, M. Amabili, Stability and vibration of empty and fluid-filled circular cylindrical shells under static and periodic axial loads, International Journal of Solids and Structures 40 (2003) 3229–3251. https://doi.org/10.1016/S0020-7683(03)00120-3
[6] P.B. Goncalves, ZJGN Del Prado, Nonlinear oscillations and stability of parametrically excited cylindrical shells, Meccanica 37 (2002) 569–597. https://doi.org/10.1023/A:1020972109600
[7] A.A. Popov, Parametric resonance in cylindrical shells: a case study in the nonlinear vibration of structural shells, Engineering Structures 25 (2003) 789–799. https://doi.org/10.1016/S0141-0296(03)00006-3
[8] E. Jansen, Dynamic stability problems of anisotropic cylindrical shells via a simplified analysis, Nonlinear Dynamics 39 (2005) 349–367. https://doi.org/10.1007/s11071-005-4343-1
[9] Zippo A., Iarriccio G., Pellicano F., Shmatko T., Vibrations of plates with complex shape: Experimental modal analysis, finite element method, and R-functions method, (2020) Shock and Vibration, 2020. https://doi.org/10.1155/2020/8882867
[10] Iarriccio G., Zippo A., Pellicano F., Asymmetric vibrations and chaos in spherical caps under uniform time-varying pressure fields, (2022) Nonlinear Dynamics, 107 (1), pp. 313 – 329. https://doi.org/10.1007/s11071-021-07033-7
[11] Hemmatnezhad M., Iarriccio G., Zippo A., Pellicano F., Modal localization in vibrations of circular cylindrical shells with geometric imperfections (2022) Thin-Walled Structures, 181, art. no. 110079. https://doi.org/10.1016/j.tws.2022.110079
[12] G. Catellani, F. Pellicano, D. Dall’Asta, M. Amabili, Parametric instability of a circular cylindrical shell with geometric imperfections, Computers & Structures 82 (2004) 2635–2645. https://doi.org/10.1016/j.compstruc.2004.07.006
[13] F. Pellicano and K. V. Avramov, “Linear and nonlinear dynamics of a circular cylindrical shell connected to a rigid disk”, Communications in Nonlinear Science and Numerical Simulation, 2007, 12(4), 496-518. https://doi.org/10.1016/j.cnsns.2005.04.004
[14] F. Pellicano, “VIBRATIONS OF CIRCULAR CYLINDRICAL SHELLS: THEORY AND EXPERIMENTS”, J. of Sound and Vibration, 2007, 303, 154–170. https://doi.org/10.1016/j.jsv.2007.01.022
[15] F. Pellicano Dynamic stability and sensitivity to geometric imperfections of strongly compressed circular cylindrical shells under dynamic axial loads, Communications in Nonlinear Science and Numerical Simulations, 2009, 14(8) (2009), 3449-3462. https://doi.org/10.1016/j.cnsns.2009.01.018
[16] F. Pellicano, Dynamic instability of a circular cylindrical shell carrying a top mass under seismic excitation: experiments and theory, Int. J. of Solids and Structures, 48 (2011) 408–427. https://doi.org/10.1016/j.ijsolstr.2010.09.024
[17] Iarriccio G., Zippo A., Pellicano F., Barbieri M., Resonances and nonlinear vibrations of circular cylindrical shells, effects of thermal gradients, (2021) Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 235 (20), pp. 4818 – 4832. https://doi.org/10.1177/0954406220907616
[18] Pellicano F., Zippo A., Iarriccio G., Barbieri M., Experimental Study on Nonlinear Random Excitation, (2020) Lecture Notes in Mechanical Engineering, pp. 637 – 648. https://doi.org/10.1007/978-3-030-31154-4_54
[19] M.P. Païdoussis, Fluid-Structure Interactions, Volume 1: Slender Structures and Axial Flow, Second Edition, ISBN: 9780123973122, Academic Press, 2014.
[20] M.P. Païdoussis, Fluid-Structure Interactions, Volume 2: Slender Structures and Axial Flow, Second Edition, ISBN: 9780123973122, Academic Press, 2016.
[21] M. Amabili and M.P. Païdoussis, Review of studies on geometrically nonlinear vibrations and dynamics of circular cylindrical shells and panels, with and without fluid-structure interaction, ASME Applied Mechanics Review 56(4), 2003. https://doi.org/10.1115/1.1565084
[22] W. Chu and D. Kana. 1967 A theory for nonlinear transverse vibrations of a partially filled elastic tank. AIAA Journal 5, 1828—1835. https://doi.org/10.2514/3.4312
[23] J. Ramachandran, 1979, Non-linear vibrations of cylindrical shells of varying thickness in an incompressible fluid. Journal of Sound and Vibration 64, 97—106. https://doi.org/10.1016/0022-460X(79)90575-3
[24] M. Amabili, F. Pellicano and M.P. Païdoussis, “Nonlinear vibrations of Simply Supported, Circular Cylindrical Shells, Coupled to Quiescent Fluid”. J. of Fluids and Structures, 12, 883-918, 1998. https://doi.org/10.1006/jfls.1998.0173
[25] M. Amabili, F. Pellicano and M.P. Païdoussis, Letter to the Editor, “Further Comments on Nonlinear Vibrations of Shells”, J. of Fluids and Structures, 13(1), 159-160, 1999. https://doi.org/10.1006/jfls.1998.0193
[26] M. Amabili, F. Pellicano and M.P. Païdoussis, “Non-Linear Dynamics and Stability of Circular Cylindrical Shells Containing Flowing Fluid. Part I Stability”. J. of Sound and Vibration, 225(4), 655-699, 1999. https://doi.org/10.1006/jsvi.1999.2255
[27] M. Amabili, F. Pellicano and M.P. Païdoussis, “Non-Linear Dynamics and Stability of Circular Cylindrical Shells Containing Flowing Fluid, Part II: Large-Amplitude Vibrations without Flow”. J. of Sound and Vibration, 228(5), 1103-1124, 1999. https://doi.org/10.1006/jsvi.1999.2476
[28] M. Amabili, F. Pellicano and M.P. Païdoussis, “Non-Linear Dynamics and Stability of Circular Cylindrical Shells Containing Flowing Fluid. Part III: Truncation Effect without Flow and Experiments”. J. of Sound and Vibration, 237 (4), 617-640, 2000. https://doi.org/10.1006/jsvi.2000.3071
[29] M. Amabili, F. Pellicano and M.P. Païdoussis, “Non-Linear Dynamics and Stability of Circular Cylindrical Shells Containing Flowing Fluid. Part IV: Large Amplitude of Vibrations with Flow”. J. of Sound and Vibration, 237(4), 641-666, 2000. https://doi.org/10.1006/jsvi.2000.3070
[30] M. Amabili and F. Pellicano, “Nonlinear Supersonic Flutter of Circular Cylindrical Shells”. AIAA Journal, 39 (4), 564-573, 2001. https://doi.org/10.2514/2.1365
[31] M. Amabili, F. Pellicano and M.P. Païdoussis, “Nonlinear Stability of Circular Cylindrical Shells in Annular and Unbounded Axial Flow”. ASME J. Applied Mechanics, 68, 827-834, 2001. https://doi.org/10.1115/1.1406957
[32] M. Amabili and F. Pellicano, “Multimode Approach to Nonlinear Supersonic Flutter of Imperfect Circular Cylindrical Shells”, ASME J. of Applied Mechanics , 69, 117-129, 2002. https://doi.org/10.1115/1.1435366
[33] M. Amabili ,F. Pellicano and M. P. Païdoussis, “Non-linear dynamics and stability of circular cylindrical shells conveying Ô¨Çowing Ô¨Çuid”, Computers and Structures, 2002, 80, 899-906. https://doi.org/10.1016/S0045-7949(02)00055-X
[34] F. Pellicano, M. Amabili, “Stability and vibration of empty and fluid-filled circular cylindrical shells subjected to dynamic axial loads” Int. J. of Solids and Structures, 2003, 40, 3229-3251. https://doi.org/10.1016/S0020-7683(03)00120-3
[35] A. A. Girchenko, V. A. Eremeyev, H. Altenbach, Interaction of a helical shell with a nonlinear viscous fluid, International Journal of Engineering Science 61 (2012) 53–58. https://doi.org/10.1016/j.ijengsci.2012.06.009
[36] F. Kabinejadiana, D. N. Ghista, Compliant model of a coupled sequential coronary arterial bypass graft: Effects of vessel wall elasticity and non-Newtonian rheology on blood flow regime and hemodynamic parameters distribution. Medical Engineering & Physics 34 (2012) 860–872. https://doi.org/10.1016/j.medengphy.2011.10.001
[37] H. S. Wong, M. Mackley, S. Butler, J. Baumberg, D. Snoswell, C. Finlayson, and Q. Zhao, The rheology and processing of “edge sheared” colloidal polymer opals, J. Rheol. 58(2), 397-409 (2014). https://doi.org/10.1122/1.4862920
[38] B. Wu, Y. Gan, E. Carrera and W. Q. Chen, Three-dimensional vibrations of multilayered hollow spheres submerged in a complex fluid, J. Fluid Mech. (2019), 879, 682–715. doi:10.1017/jfm.2019.681. https://doi.org/10.1017/jfm.2019.681
