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Shear deformation in dynamic analysis of anisotropic laminated open cylindrical shells filled with or subjected to a flowing fluid. (English) Zbl 1032.74023

The authors study free vibrations of anisotropic laminated, open or closed, cylindrical shells submerged in incompressible inviscid fluid. The approach is based on a refined shell theory in which transverse shear deformation and rotary inertia are taken into account. The authors solve the problem by a finite element method which employs a cylindrical panel-segment finite element, rather than commonly used triangular or rectangular elements. This allow to use thin shell equations for the determination of displacement functions, and hence to employ mass, stiffness and stress-resultant matrices instead of usual polynomial displacement functions.

MSC:

74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
74H45 Vibrations in dynamical problems in solid mechanics
74K25 Shells
74S05 Finite element methods applied to problems in solid mechanics
74E30 Composite and mixture properties
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[1] Brown, S. J., A survey of studies into the hydrodynamic response of fluid-coupled circular cylinders, American Society of Mechanical Engineers Journal of Pressure Vessel Technology, 104, 2-19 (1982)
[2] Paı̈doussis, M. P.; Li, G. X., Pipes conveying fluid: a model dynamical problem, Journal of Fluid and Structures, 7, 137-204 (1993)
[3] Junger, M. C., Vibrations of elastic shells in a fluid medium and the associated radiation of sound, Journal of Applied Mechanics, 74, 439-445 (1952)
[4] Bleich, H. H.; Baron, M. L., Free and forced vibrations of an infinitely long cylindrical shell in an infinite acoustic medium, Journal of Applied Mechanics, 21, 167-177 (1954) · Zbl 0055.18303
[5] Greenspon, J. E., Vibrations of thick and thin cylindrical shells surrounded by water, Journal of the Acoustical Society of America, 33, 1321-1328 (1961)
[6] Gonçalves, P. B.; Batista, R. C., Frequency response of cylindrical shells partially submerged or filled with liquid, Journal of Sound and Vibration (1987)
[7] Jain, R. L., Vibration of fluid-filled orthotropic cylindrical shells, Journal of Sound and Vibration, 37, 3, 379-388 (1974) · Zbl 0292.73051
[8] Han, R. P.S.; Liu, J. D., Free vibration analysis of a fluid-loaded variable thickness cylindrical tank, Journal of Sound and Vibration, 176, 2, 235-253 (1994) · Zbl 0945.74578
[9] Brenneman, B.; Au-Yang, M. K., Fluid-structure dynamics with a modal hybrid method, Journal of Pressure Vessel Technology, 114, 133-138 (1992)
[10] Chu, W. H., Breathing vibrations of a partially filled cylindrical tank-linear theory, Journal of Applied Mechanics, 32-536 (1963)
[11] Endo, R.; Tosaka, N., Free vibration analysis of coupled external fluid-elastic cylindrical shell-internal fluid systems, JSME International Journal, Series I, 32, 2, 217-221 (1989)
[12] Ramachandran, J., Non-linear vibrations of cylindrical shells of varying thickness in an incompressible fluid, Journal of Sound and Vibration, 64, 1, 97-106 (1979) · Zbl 0397.73072
[13] Crouzet-Pascal, J.; Garnet, H., Response of ring-reinforced cylindrical shell, immersed in a fluid medium, to an axisymmetric step pulse, Journal of Applied Mechanics, 521-526 (1972)
[14] Au-Yang, M. K., Dynamics of coupled fluid-shells, Journal of Vibration, Acoustic, Stress and Reliability in Design, 108, 339-347 (1986)
[15] Chebair, A. E.; Misra, A. K., On the dynamics and stability of cylindrical shells conveying inviscid or viscous fluid in internal or annular flow, Journal of Pressure Vessel and Technology, 113, 409-417 (1991)
[16] R.D. Blevin, Formulas for Natural Frequency and Mode Shape, Van Nostrand Reinhold, New York; R.D. Blevin, Formulas for Natural Frequency and Mode Shape, Van Nostrand Reinhold, New York
[17] H.J.P. Morand, R. Ohayon, Fluid Structure Interaction, Wiley, New York, 1995; H.J.P. Morand, R. Ohayon, Fluid Structure Interaction, Wiley, New York, 1995 · Zbl 0834.73002
[18] Lakis, A. A.; Paı̈doussis, M. P., Free vibration of cylindrical shells partially filled with liquid, Journal of Sound and Vibration, 19, 1-15 (1971) · Zbl 0232.73101
[19] Lakis, A. A.; Laveau, A., Non-Linear dynamic analysis of anisotropic cylindrical shells containing a flowing fluid, International Journal of Solids and Structures, 28, 1079-1094 (1991) · Zbl 0749.73049
[20] Lakis, A. A.; Sinno, M., Free vibration of axisymmetric and beam-like cylindrical shells partially filled with liquid, International Journal for Numerical Methods in Engineering, 33, 235-268 (1992) · Zbl 0825.73351
[21] Lakis, A. A.; Van Dyke, P.; Ouriche, H., Dynamic analysis of anisotropic fluid-filled conical shells, Journal of Fluid and Structures, 6, 135-162 (1992)
[22] Selmane, A.; Lakis, A. A., Dynamic analysis of anisotropic open cylindrical shells, Computer & Structures, 62, 1, 1-12 (1997) · Zbl 0899.73240
[23] Selmane, A.; Lakis, A. A., Vibration analysis of anisotropic open cylindrical shells subjected to a flowing fluid, Journal of Fluid and Structures, 11, 111-134 (1997) · Zbl 0899.73240
[24] Selmane, A.; Lakis, A. A., Influence of geometric non-linearities on the free vibrations of orthotropic open cylindrical shells, International Journal for Numerical Methods in Engineering, 40, 1115-1137 (1997) · Zbl 0892.73029
[25] Selmane, A.; Lakis, A. A., Non-linear dynamic analysis of orthoropic open cylindrical shells subjected to a flowing fluid, Journal of Sound and Vibration, 202, 1, 67-93 (1997) · Zbl 0899.73240
[26] Lakis, A. A.; Paı̈doussis, M. P., Prediction of the response of a cylindrical shell to arbitrary or boundary layer random pressure field, Journal of Sound and Vibration, 25, 1-27 (1972) · Zbl 0363.73090
[27] A.A. Lakis, M.P. Paı̈doussis, Shell of natural frequencies of the pickering steam generator, Atomic Energy of Canada Ltd., AECL Report No. 4362, 1973; A.A. Lakis, M.P. Paı̈doussis, Shell of natural frequencies of the pickering steam generator, Atomic Energy of Canada Ltd., AECL Report No. 4362, 1973
[28] A.A. Lakis, Effects of fluid pressures on the vibration characteristics of cylindrical vessels, in: Proceeding of International Conference on Pressure Surges, London, UK J1-1, J1-15 Cranfield, UK, BHRA, 1976; A.A. Lakis, Effects of fluid pressures on the vibration characteristics of cylindrical vessels, in: Proceeding of International Conference on Pressure Surges, London, UK J1-1, J1-15 Cranfield, UK, BHRA, 1976
[29] A.A. Lakis, S.M. Sami, J. Rousselet, in: Porceedings of the 24th International Instrumentation Symposium on Turbulent Two Phase Flow Loop Facility for Predicting Wall-Pressure Fluctuations and Shell Response, Albuquerque, New Mexico, Instrument Society of America, Pittsburg, PA, 1978, pp. 267-276; A.A. Lakis, S.M. Sami, J. Rousselet, in: Porceedings of the 24th International Instrumentation Symposium on Turbulent Two Phase Flow Loop Facility for Predicting Wall-Pressure Fluctuations and Shell Response, Albuquerque, New Mexico, Instrument Society of America, Pittsburg, PA, 1978, pp. 267-276
[30] A.A. Lakis, N.Q. Tuy, A. Selmane, Analysis of axially non-uniform thin spherical shells, in: Proceeding of the International Symposium on Structural Analysis and optimization, Paris, France, 80-85, Gournay-sur-Marne, Institute for Industrial Technology Transfer, France, 1989; A.A. Lakis, N.Q. Tuy, A. Selmane, Analysis of axially non-uniform thin spherical shells, in: Proceeding of the International Symposium on Structural Analysis and optimization, Paris, France, 80-85, Gournay-sur-Marne, Institute for Industrial Technology Transfer, France, 1989
[31] A.A. Lakis, Theoretical model of cylindrical structures containing turbulent flowing fluids, in: Proceedings of the Second International Symposium of Finite Element in Flow Problems, Santa Marguerite Ligure, Italy, 1976; A.A. Lakis, Theoretical model of cylindrical structures containing turbulent flowing fluids, in: Proceedings of the Second International Symposium of Finite Element in Flow Problems, Santa Marguerite Ligure, Italy, 1976 · Zbl 0445.76040
[32] Lakis, A. A.; Doré, R., General method for analyzing contact stresses on cylindrical vessels, International Journal of Solids and Structure, 14, 6, 499-516 (1978) · Zbl 0377.73041
[33] Lakis, A. A.; Selmane, A.; Toledano, A., Non-linear free vibration analysis of laminated orthotropic cylindrical shells, International Journal of Mechanical Science, 40, 1, 27-49 (1998) · Zbl 0901.73043
[34] M.H. Toorani, A.A. Lakis, General equations of anisotropic plates and shells including transverse shear deformations, rotary inertia and initial curvature effects, Journal of Sound and Vibration, accepted; M.H. Toorani, A.A. Lakis, General equations of anisotropic plates and shells including transverse shear deformations, rotary inertia and initial curvature effects, Journal of Sound and Vibration, accepted · Zbl 1032.74023
[35] M.H. Toorani, A.A. Lakis, Effects of the transverse shear deformations on the free vibration of an anisotropic open circular cylindrical shells, Technical Report EPM/RT-99-04, École Polytechnique de Montréal, Canada, 1999; M.H. Toorani, A.A. Lakis, Effects of the transverse shear deformations on the free vibration of an anisotropic open circular cylindrical shells, Technical Report EPM/RT-99-04, École Polytechnique de Montréal, Canada, 1999 · Zbl 1032.74023
[36] Amabili, M., Free vibration of partially filled horizontal cylindrical shells, Journal of Sound and Vibration, 191, 5, 757-780 (1996)
[37] Lindholm, U. S.; Kana, D. D.; Abramson, H. N., Breathing vibration of a circular cylindrical shell with an internal liquid, Journal of Aeronautical Science, 29, 1052-1059 (1962)
[38] Mistry, J.; Menenzes, J. C., Vibration of cylinders partially-filled with liquid, ASME Journal of Vibration and Acoustic, 117, 87-93 (1995)
[39] Weaver, D. S.; Unny, T. E., On the dynamic stability of fluid conveying pipes, Journal of Applied Mechanics, 40, 48-52 (1973) · Zbl 0309.73067
[40] F.I.N. Niordson, Vibration of a cylindrical tube containing flowing fluid, Transactions of Royal Institute of Technology, Stockholm 73, (1953); F.I.N. Niordson, Vibration of a cylindrical tube containing flowing fluid, Transactions of Royal Institute of Technology, Stockholm 73, (1953)
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