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Acta Mechanica
Published in: Acta Mechanica 9/2020

03-07-2020 | Original Paper

Free vibration of partially fluid-filled or fluid-surrounded composite shells using the dynamic stiffness method

Authors: Hong-zhen Zhu, Jiang-hai Wu

Published in: Acta Mechanica | Issue 9/2020

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Abstract

In this paper, the dynamic stiffness method (DSM) is developed for the vibration analysis of laminated cylindrical and conical shells, which are partially filled or surrounded by quiescent fluid. The Reissner and Naghdi’s thin shell theory and incompressible fluid equations are employed on the structures and fluid, respectively, so as to characterize the fluid–structure coupling model. Shell elements with/without fluid loadings are derived and assembled by using the dynamic stiffness method. Numerical examples of the free vibration analysis for both empty and fluid-filled shells are validated against previous studies. Remarkable advantages regarding computational efficiency and accuracy of the DSM, especially in high-frequency domain, are presented through response curves compared with finite element calculations. As for partially fluid-filled or fluid-surrounded laminated shells, parametric studies are made to find the effects of material properties, fluid heights and semi-vertex angles on the dynamic characteristics.
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Literature
1.
Jin, G., Ye, T., Ma, X., Chen, Y., Su, Z., Xie, X.: A unified approach for the vibration analysis of moderately thick composite laminated cylindrical shells with arbitrary boundary conditions. Int. J. Mech. Sci. 75, 357–376 (2013)
2.
Stillmana, W.E.: Free vibration of cylinders containing liquid. J. Sound Vib. 30, 509–524 (1973)
3.
Gupta, R.K., Hutchinson, G.L.: Free vibration analysis of liquid storage tanks. J. Sound Vib. 122, 491–506 (1988)
4.
Chiba, M., Yamaki, N., Tani, J.: Free vibration of a clamped-free circular cylindrical shell partially filled with liquid–part I: theoretical analysis. Thin Walled Struct. 2, 265–284 (1984)
5.
Jeong, K.H., Lee, S.C.: Fourier series expansion method for free vibration analysis of either a partially liquid-filled or a partially liquid-surrounded circular cylindrical shell. Comput. Struct. 58, 937–946 (1995)MATH
6.
Karagiozis, K.N., Amabili, M., Paidoussis, M.P., Misra, A.K.: Nonlinear vibrations of fluid-filled clamped circular cylindrical shells. J. Fluid Struct. 21, 579–595 (2001)
7.
Kwak, M.K., Koo, J.R., Bae, C.H.: Free vibration analysis of a hung clamped-free cylindrical shell partially submerged in fluid. J. Fluid Struct. 27, 283–296 (2011)
8.
Bae, C.H., Kwak, M.K., Koo, J.R.: Free vibration analysis of a hanged clamped-free cylindrical shell partially submerged in fluid: the effect of external wall, internal shaft, and flat bottom. J. Sound Vib. 331, 4072–4092 (2012)
9.
Jhung, M.J., Jo, J.C., Jeong, K.H.: Modal analysis of conical shell filled with fluid. J. Mech. Sci. Technol. 20, 1848–1862 (2006)
10.
Zhang, X.M., Liu, G.R., Lam, K.Y.: Coupled vibration analysis of fluid-filled cylindrical shells using the wave propagation approach. Appl. Acoust. 62, 229–243 (2001)
11.
Zhang, X.M.: Frequency analysis of submerged cylindrical shells with the wave propagation approach. Int. J. Mech. Sci. 44(1259–1273), 1259–1273 (2002)MATH
12.
Li, X.W., Liang, B., Li, R., Xu, H.Y., Zhang, W.: Effect of stiffening parameters on vibration characteristics of fluid-filled cylindrical shells with ring-stiffener. J. Ship Mech. 19, 294–302 (2015)
13.
Naeem, M.N., Gamkhar, M., Arshad, S.H., Shah, A.G.: Vibration analysis of submerged thin FGM cylindrical shells. J. Mech. Sci. Technol. 27, 649–656 (2013)
14.
Zhang, X.M.: Parametric studies of coupled vibration of cylindrical pipes conveying fluid with the wave propagation approach. Comput. Struct. 80, 287–295 (2002)
15.
Cao, X.T., Hua, H.X.: Free vibration of orthotropic conical shell interacting with fluid. J. Vib. Shock 30, 95–100 (2011)
16.
Caresta, M., Kessissoglou, N.J.: Vibration of fluid loaded conical shells. J. Acoust. Soc. Am. 124, 2068 (2008)
17.
Liu, C.H., Chen, P.T.: Numerical analysis of immersed finite cylindrical shells using a coupled BEM/FEM and spatial spectrum approach. Appl. Acoust. 70, 256–266 (2009)
18.
Zheng, H., Zhou, Q.D., Ji, G.: Influence of rib strengthening on structure vibration and sound radiation of cylindrical shell. Appl. Mech. Mater. 226–228, 359–363 (2012)
19.
Sgard, F., Atalla, N., Nicolas, J.: Coupled FEM-BEM approach for mean flow effects on vibro-acoustic behavior of planar structures. AIAA J. 32, 2351–2358 (2015)MATH
20.
Kumar, D.S., Ganesan, N.: Dynamic analysis of conical shells conveying fluid. J. Sound Vib. 310, 38–57 (2008)
21.
Rahmanian, M., Firouz-Abadi, R.D., Cigeroglu, E.: Free vibrations of moderately thick truncated conical shells filled with quiescent fluid. J. Fluid Struct. 63, 280–301 (2016)
22.
Xi, Z.C., Yam, L.H., Leung, T.P.: Free vibration of a laminated composite circular cylindrical shell partially filled with fluid. Compos. Part B-Eng. 28, 359–374 (1997)
23.
Firouz-Abadi, R.D., Haddadpour, H., Kouchakzadeh, M.A.: Free vibrations of composite tanks partially filled with fluid. Thin Walled Struct. 47, 1567–1574 (2009)
24.
Toorani, M.H., Lakis, A.A.: Shear deformation in dynamic analysis of anisotropic laminated open cylindrical shells filled with or subjected to a flowing fluid. Comput. Method. Appl. Mech. Eng. 190, 4929–4966 (2001)MATH
25.
Alijani, F., Amabili, M.: Nonlinear vibrations and multiple resonances of fluid filled arbitrary laminated circular cylindrical shells. Compos. Struct. 108, 951–962 (2014)
26.
Koval’chuk, P.S., Kruk, L.A., Pelykh, V.À.: Stability of differently fixed composite cylindrical shells interacting with fluid flow. Int. Appl. Mech. 50, 664–676 (2014)MathSciNetMATH
27.
Tang, D., Yao, X.L., Jin, Y.Q., Pang, F.Z.: Acoustic radiation from shear deformable ring-stiffened laminated composite cylindrical shell submerged in flowing fluid. Appl. Ocean Res. 61, 65–80 (2016)
28.
Hien, V.Q., Thinh, T.I., Cuong, N.M.: Free vibration analysis of joined composite conical-cylindrical-conical shells containing fluid. Vietnam J. Mech. 38, 249–265 (2016)
29.
Izyan, N., Viswanathan, K.K., Aziz, Z.A., Lee, J.H., Prabakar, K.: Free vibration of layered truncated conical shells filled with quiescent fluid using spline method. Compos. Struct. 163, 385–398 (2017)
30.
Kolarevic, N., Nefovska-Danilovic, M., Petronijevic, M.: Dynamic stiffness method in the vibration analysis of circular cylindrical shell. Bluid. Mater. Struct. 59, 45–61 (2016)
31.
Nefovska-Danilovic, M., Petronijevic, M.: In-plane free vibration and response analysis of isotropic rectangular plates using the dynamic stiffness method. Comput. Struct. 153, 82–95 (2015)
32.
Banejee, J.R.: Free vibration of beams carrying spring-mass systems-a dynamic stiffness approach. Comput. Struct. 104–105, 21–26 (2012)
33.
Banerjee, J.R., Jackson, D.: Free vibration of a rotating tapered Rayleigh beam: a dynamic stiffness method of solution. Comput. Struct. 124, 11–20 (2013)
34.
Chen, S.L., Geradin, M.: Dynamic force identification for beamlike structures using an improved dynamic stiffness method. Shock Vib. 3, 183–191 (2013)
35.
Boscolo, M., Banerjee, J.R.: Dynamic stiffness elements and their applications for plates using first order shear deformation theory. Comput. Struct. 89, 295–410 (2011)
36.
Fazzolari, F.A., Boscolo, M., Banerjee, J.R.: An exact dynamic stiffness element using a higher order shear deformation theory for free vibration analysis of composite plate assemblies. Compos. Struct. 96, 262–278 (2013)
37.
Kolarevic, N., Marjanović, M., Nefovska-Danilovic, M., Petronijevic, M.: Free vibration analysis of plate assemblies using the dynamic stiffness method based on the higher order shear deformation theory. J. Sound Vib. 364, 110–132 (2016)
38.
Casimir, J.B., Nguyen, M.C., Tawfiq, I.: Thick shells of revolution: derivation of the dynamic stiffness matrix of continuous elements and application to a tested cylinder. Comput. Struct. 85, 1845–1857 (2007)
39.
Thinh, T.I., Nguyen, M.C.: Dynamic stiffness matrix of continuous element for vibration of thick cross-ply laminated composite cylindrical shells. Compos. Struct. 98, 93–102 (2013)
40.
Thinh, T.I., Nguyen, M.C.: Dynamic stiffness method for free vibration of composite cylindrical shells containing fluid. Appl. Math. Model. 40, 9286–9301 (2016)MathSciNetMATH
41.
Leissa, A.: Vibration of Shells, 2nd edn. American Institute of Physics, Acoustical Society of America (1993)
42.
Qatu, M.S.: Vibration of Laminated Shells and Plates. Elsevier, Amsterdam (2004)MATH
43.
Tong, L.: Free vibration of composite laminated conical shells. Int. J. Mech. Sci. 35, 47–61 (1993)MATH
44.
Kouchakzadeh, M.A., Shakouri, M.: Free vibration analysis of joined cross-ply laminated conical shells. Int. J. Mech. Sci. 78, 118–125 (2014)
45.
Kerboua, Y., Lakis, A.A., Hmila, M.: Vibration analysis of truncated conical shells subjected to flowing fluid. Appl. Math. Model. 34, 791–809 (2010)MathSciNetMATH
46.
Okazaki, K., Tani, J., Qiu, J., Kosugo, K.: Vibration test of a cross-ply laminated composite circular cylindrical shell partially filled with liquid. Trans. Jpn. Soc. Mech. Eng. 73, 724–731 (2007)
47.
Lekhnitskii, S.G.: Anisotropic Plates, 2nd edn. Golden and Branch Science Publishers, New York (1984)
Metadata
Title
Free vibration of partially fluid-filled or fluid-surrounded composite shells using the dynamic stiffness method
Authors
Hong-zhen Zhu
Jiang-hai Wu
Publication date
03-07-2020
Publisher
Springer Vienna
Published in
Acta Mechanica / Issue 9/2020
Print ISSN: 0001-5970
Electronic ISSN: 1619-6937
DOI
https://doi.org/10.1007/s00707-020-02734-3

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