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Volumn 56, Issue 1, 2012, Pages 1-25

Free vibration analysis of homogeneous isotropic circular cylindrical shells based on a new three-dimensional refined higher-order theory

Author keywords

Circular cylindrical shells; Free vibration; Higher order shear deformation theory; Isotropic; Trapezoidal shape factor

Indexed keywords

CIRCULAR CYLINDRICAL SHELLS; FREE VIBRATION; HIGHER ORDER SHEAR DEFORMATION THEORY; ISOTROPIC; TRAPEZOIDAL SHAPE;

EID: 84858338185     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmecsci.2011.11.002     Document Type: Article
Times cited : (93)

References (50)
  • 1
    • 0001624739 scopus 로고    scopus 로고
    • Vibration of thick cylindrical shells on the basis of three-dimensional theory of elasticity
    • C.T. Loy, and K.Y. Lam Vibration of thick cylindrical shells on the basis of three dimensional theory of elasticity J. Sound Vib 226 1999 719 737 (Pubitemid 129532346)
    • (1999) Journal of Sound and Vibration , vol.226 , Issue.4 , pp. 719-737
    • Loy, C.T.1    Lam, K.Y.2
  • 2
    • 0003302469 scopus 로고
    • Notes on the foundations of the theory of small displacements of orthotropic shells
    • F.B. Hildebrand, E. Reissner, and G.B. Thomas Notes on the foundations of the theory of small displacements of orthotropic shells NACA TN 1833 1949
    • (1833) NACA TN , pp. 1949
    • Hildebrand, F.B.1    Reissner, E.2    Thomas, G.B.3
  • 3
    • 0343165389 scopus 로고
    • Basic differential equations in general theory of elastic shells
    • V.Z. Vlasov Basic differential equations in general theory of elastic shells NASA TM 1241 1951
    • (1951) NASA TM , vol.1241
    • Vlasov, V.Z.1
  • 4
    • 0012619986 scopus 로고
    • Propagation of elastic waves in cylindrical shells, including the effects of transverse shear and rotatory inertia
    • P.M. Naghdi, and R.M. Cooper Propagation of elastic waves in cylindrical shells, including the effects of transverse shear and rotatory inertia J Acoust Soc Am 28 1956 56 63
    • (1956) J Acoust Soc Am , vol.28 , pp. 56-63
    • Naghdi, P.M.1    Cooper, R.M.2
  • 5
    • 84957232613 scopus 로고
    • Nonaxially symmetric motions of cylindrical shells
    • I. Mirsky, and G. Herrmann Nonaxially symmetric motions of cylindrical shells J Acoust Soc Am 29 1957 1116 1124
    • (1957) J Acoust Soc Am , vol.29 , pp. 1116-1124
    • Mirsky, I.1    Herrmann, G.2
  • 6
    • 0003352157 scopus 로고
    • Vibrations of shells
    • A.W. Leissa Vibrations of shells NASA SP-88 1973
    • (1973) NASA , vol.SP-88
    • Leissa, A.W.1
  • 7
    • 0021292354 scopus 로고
    • A higher order theory for free vibration analysis of circular cylindrical shells
    • A. Bhimaraddi A higher order theory for free vibration analysis of circular cylindrical shells Int J Solids Struct 20 7 1984 623 630 (Pubitemid 14668111)
    • (1984) International Journal of Solids and Structures , vol.20 , Issue.7 , pp. 623-630
    • Bhimaraddi, A.1
  • 8
    • 0021852258 scopus 로고
    • A higher-order shear deformation theory of laminated elastic shells
    • J.N. Reddy, and C.F. Liu A higher-order shear deformation theory of laminated elastic shells Int J Eng Sci 23 1985 440 447
    • (1985) Int J Eng Sci , vol.23 , pp. 440-447
    • Reddy, J.N.1    Liu, C.F.2
  • 9
    • 0000571463 scopus 로고
    • On the propagation velocities of small oscillations in an unlimited isotropic circular cylinder
    • L. Pochhammer On the propagation velocities of small oscillations in an unlimited isotropic circular cylinder Z fur Reine und Angew Math 81 1876 324 336
    • (1876) Z fur Reine und Angew Math , vol.81 , pp. 324-336
    • Pochhammer, L.1
  • 10
    • 68049110426 scopus 로고    scopus 로고
    • Free vibration analysis of an eccentric hollow cylinder using exact 3D elasticity theory
    • S.M. Hasheminejad, and Y. Mirzaei Free vibration analysis of an eccentric hollow cylinder using exact 3D elasticity theory J Sound Vib 326 2009 687 702
    • (2009) J Sound Vib , vol.326 , pp. 687-702
    • Hasheminejad, S.M.1    Mirzaei, Y.2
  • 11
    • 85143717923 scopus 로고
    • Three dimensional and shell-theory analysis of axially symmetric motions of cylinders
    • G. Herrmann, and I. Mirsky Three dimensional and shell-theory analysis of axially symmetric motions of cylinders J Appl Mech 23 1956 563 568
    • (1956) J Appl Mech , vol.23 , pp. 563-568
    • Herrmann, G.1    Mirsky, I.2
  • 12
    • 84953660195 scopus 로고
    • Three-dimensional investigation of the propagation of waves in hollow circular cylinders. I. Analytical foundation
    • D.C. Gazis Three-dimensional investigation of the propagation of waves in hollow circular cylinders. I. Analytical foundation J Acoust Soc Am 31 1959 568 573
    • (1959) J Acoust Soc Am , vol.31 , pp. 568-573
    • Gazis, D.C.1
  • 13
    • 84953658254 scopus 로고
    • Vibrations of a thick-walled cylindrical shell-comparison of the exact theory with approximate theories
    • J.E. Greenspon Vibrations of a thick-walled cylindrical shell-comparison of the exact theory with approximate theories J Acoust Soc Am 32 1960 571 578
    • (1960) J Acoust Soc Am , vol.32 , pp. 571-578
    • Greenspon, J.E.1
  • 15
    • 0024090425 scopus 로고
    • Theoretical and experimental study of vibrations of thick circular cylindrical shells and rings
    • R.K. Singal, and K. Williams Theoretical and experimental study of vibrations of thick circular cylindrical shells and rings J Vib Acoust Stress Reliab Des 110 1988 533 537
    • (1988) J Vib Acoust Stress Reliab des , vol.110 , pp. 533-537
    • Singal, R.K.1    Williams, K.2
  • 16
    • 0025401663 scopus 로고
    • Three-dimensional solution of the free vibration problem of homogeneous isotropic cylindrical shells and panels
    • DOI 10.1016/0022-460X(90)90805-A
    • K.P. Soldatos, and V.P. Hadjigeorgiou Three dimensional solution of the free vibration problem of homogeneous isotropic cylindrical shells and panels J Sound Vib 137 3 1990 369 384 (Pubitemid 20683798)
    • (1990) Journal of Sound and Vibration , vol.137 , Issue.3 , pp. 369-384
    • Soldatos, K.P.1    Hadjigeorgiou, V.P.2
  • 17
    • 0028762392 scopus 로고
    • Shell dynamics with 3D degenerate FES
    • T. Kant, S. Kumar, and U.P. Singh Shell dynamics with 3D degenerate FES Comput Struct 50 1 1994 135 146
    • (1994) Comput Struct , vol.50 , Issue.1 , pp. 135-146
    • Kant, T.1    Kumar, S.2    Singh, U.P.3
  • 18
    • 0029570922 scopus 로고
    • Three-dimensional vibratory characteristics of solid cylinders and some remarks on simplified beam theories
    • K.M. Liew, and K.C. Hung Three-dimensional vibratory characteristics of solid cylinders and some remarks on simplified beam theories Int J Solids Struct 32 23 1995 3499 3513
    • (1995) Int J Solids Struct , vol.32 , Issue.23 , pp. 3499-3513
    • Liew, K.M.1    Hung, K.C.2
  • 19
    • 0030104131 scopus 로고    scopus 로고
    • Application of the spline prism method to analyse vibration of thick circular cylindrical panels
    • DOI 10.1016/0020-7683(95)00086-0
    • T. Mizusawa, and T. Kato Application of the spline prism method to analyse vibration of thick circular cylindrical panels Int J Solids Struct 33 7 1996 967 976 (Pubitemid 126403871)
    • (1996) International Journal of Solids and Structures , vol.33 , Issue.7 , pp. 967-976
    • Mizusawa, T.1    Kato, T.2
  • 21
    • 0032169327 scopus 로고    scopus 로고
    • Vibration of open cylindrical shells: A 3D elasticity approach
    • C.W. Lim, K.M. Liew, and S. Kitipornchai Vibration of open cylindrical shells: a 3D elasticity approach J Acoust Soc Am 104 3-Part 1 1998 1436 1443
    • (1998) J Acoust Soc Am , vol.104 , Issue.3 PART 1 , pp. 1436-1443
    • Lim, C.W.1    Liew, K.M.2    Kitipornchai, S.3
  • 22
    • 0032770175 scopus 로고    scopus 로고
    • Three-dimensional vibrations of hollow cones and cylinders with linear thickness variations
    • DOI 10.1121/1.427093
    • J.-H. Kang, and A.W. Leissa Three-dimensional vibrations of hollow cones and cylinders with linear thickness variation J Acoust Soc Am 106 2 1999 748 755 (Pubitemid 29379501)
    • (1999) Journal of the Acoustical Society of America , vol.106 , Issue.2 , pp. 748-755
    • Kang, J.-H.1    Leissa, A.W.2
  • 23
    • 1342283018 scopus 로고    scopus 로고
    • Recent research advances in the dynamic behavior of shells: 1989-2000, Part 2: Homogeneous shells
    • DOI 10.1115/1.1483078
    • M.S. Qatu Recent research advances in the dynamic behavior of shells: 19892000, Part 2: homogeneous shells Appl Mech Rev 55 5 2002 415 434 (Pubitemid 40205887)
    • (2002) Applied Mechanics Reviews , vol.55 , Issue.5 , pp. 415-434
    • Qatu, M.S.1
  • 24
    • 0022785362 scopus 로고
    • Vibrations of free hollow circular cylinder
    • J.R. Hutchinson, and S.A. Ei-Azhari Vibrations of free hollow circular cylinder J Appl Mech 53 1986 641 647
    • (1986) J Appl Mech , vol.53 , pp. 641-647
    • Hutchinson, J.R.1    Ei-Azhari, S.A.2
  • 25
    • 13844312954 scopus 로고    scopus 로고
    • High-frequency response of isotropic-laminated cylindrical shells modeled by a layer-wise theory
    • DOI 10.1016/j.ijsolstr.2004.06.062, PII S0020768304003683
    • A.M.B. Braga, A. Rivas, and E. Carlos High-frequency response of isotropic-laminated cylindrical shells modeled by a layer-wise theory Int J Solids Struct 42 2005 4278 4294 (Pubitemid 40259626)
    • (2005) International Journal of Solids and Structures , vol.42 , Issue.14 , pp. 4278-4294
    • Braga, A.M.B.1    Rivas, C.E.A.2
  • 26
    • 33746538879 scopus 로고    scopus 로고
    • Finite cylinder vibrations with different end boundary conditions
    • DOI 10.1016/j.jsv.2006.03.041, PII S0022460X0600294X
    • M.R. Mofakhami, H.H. Toudeshky, and Sh. Hosseini-Hashemi Finite cylinder vibrations with different end boundary conditions J Sound Vib 297 2006 293 314 (Pubitemid 44131464)
    • (2006) Journal of Sound and Vibration , vol.297 , Issue.1-2 , pp. 293-314
    • Mofakhami, M.R.1    Toudeshky, H.H.2    Hashemi, Sh.H.3
  • 27
    • 0033164514 scopus 로고    scopus 로고
    • Accurate equations for laminated composite deep thick shells
    • M.S. Qatu Accurate equations for laminated composite deep thick shells Int J Solids Struct 36 1999 2917 2941
    • (1999) Int J Solids Struct , vol.36 , pp. 2917-2941
    • Qatu, M.S.1
  • 28
    • 0039394904 scopus 로고
    • Structural theory of laminated anisotropic elastic shells
    • C.W. Bert Structural theory of laminated anisotropic elastic shells J Compos Mater 1 1967 414 423
    • (1967) J Compos Mater , vol.1 , pp. 414-423
    • Bert, C.W.1
  • 29
    • 0023249517 scopus 로고
    • Static and transient response of cylindrical shells
    • DOI 10.1016/0263-8231(87)90018-8
    • A. Bhimaraddi Static and transient response of cylindrical shells Thin-Walled Struct 5 1987 157 179 (Pubitemid 17659270)
    • (1987) Thin-Walled Structures , vol.5 , Issue.3 , pp. 157-179
    • Bhimaraddi, A.1
  • 31
    • 0030153220 scopus 로고    scopus 로고
    • Elastic deformation of thick, laminated composite shells
    • DOI 10.1016/0263-8223(96)00028-1, PII S0263822396000281
    • A.W. Leissa, and J. Chang Elastic deformation of thick, laminated composite shallow shells Compos Struct 35 1996 153 170 (Pubitemid 126381270)
    • (1996) Composite Structures , vol.35 , Issue.2 , pp. 153-170
    • Leissa, A.W.1    Chang, J.-D.2
  • 32
    • 0021427418 scopus 로고
    • Exact solutions of moderately thick laminated shells
    • J.N. Reddy Exact solutions of moderately thick laminated shells J Eng Mech 110 5 1984 794 809 (Pubitemid 14587855)
    • (1984) Journal of Engineering Mechanics , vol.110 , Issue.5 , pp. 794-809
    • Reddy, J.N.1
  • 33
    • 0024647113 scopus 로고
    • A shear-deformable theory for laminated composite shallow shell-type panels and their response analysis I: Free vibration and buckling
    • K. Librescu, A.A. Khdeir, and D. Frederick A shear-deformable theory for laminated composite shallow shell-type panels and their response analysis I: free vibration and buckling Acta Mech 76 1989 1 33
    • (1989) Acta Mech , vol.76 , pp. 1-33
    • Librescu, K.1    Khdeir, A.A.2    Frederick, D.3
  • 34
    • 0024647113 scopus 로고
    • A shear-deformable theory for laminated composite shallow shell-type panels and their response analysis II: Static analysis
    • L. Librescu, A.A. Khdeir, and D. Frederick A shear-deformable theory for laminated composite shallow shell-type panels and their response analysis II: static analysis Acta Mech 77 1989 1 12
    • (1989) Acta Mech , vol.77 , pp. 1-12
    • Librescu, L.1    Khdeir, A.A.2    Frederick, D.3
  • 35
    • 0000737595 scopus 로고    scopus 로고
    • A higher-order theory for vibration of doubly curved shallow shells
    • K.M. Liew, and C.W. Lim A higher-order theory for vibration of doubly curved shallow shells J Appl Mech 63 1996 578 593
    • (1996) J Appl Mech , vol.63 , pp. 578-593
    • Liew, K.M.1    Lim, C.W.2
  • 36
    • 0001469181 scopus 로고    scopus 로고
    • Vibrations of thick rotating laminated composite cylindrical shells
    • K.Y. Lam, and W. Qian Vibrations of thick rotating laminated composite cylindrical shells J Sound Vib 225 3 1999 483 501 (Pubitemid 129533295)
    • (1999) Journal of Sound and Vibration , vol.225 , Issue.3 , pp. 483-501
    • Lam, K.Y.1    Qian, W.2
  • 37
    • 0033701484 scopus 로고    scopus 로고
    • Free vibration of symmetric angle-ply thick laminated composite cylindrical shells
    • K.Y. Lam, and W. Qian Free vibration of symmetric angle-ply thick laminated composite cylindrical shells Compos: Pt B 31 2000 345 354
    • (2000) Compos: Pt B , vol.31 , pp. 345-354
    • Lam, K.Y.1    Qian, W.2
  • 38
    • 0036571072 scopus 로고    scopus 로고
    • Laminated shell model with second-order expansion of the reciprocals of Lamé coefficients Hα, Hβ and interlayer continuities fulfilment
    • DOI 10.1016/S0263-8223(02)00014-4, PII S0263822302000144
    • β and interlayer continuities fulfillment Compos Struct 56 2002 293 313 (Pubitemid 34500164)
    • (2002) Composite Structures , vol.56 , Issue.3 , pp. 293-313
    • Icardi, U.1    Ruotolo, R.2
  • 39
    • 0032167302 scopus 로고    scopus 로고
    • Optimizing lamination of hybrid thick-walled cylindrical shell under external pressure by using a genetic algorithm
    • O. Byon(G. Ben), Y. Nishi, and S. Sato Optimizing lamination of hybrid thick-walled cylindrical shell under external pressure by using a genetic algorithm J Thermoplast Compos Mater 11 1998 417 428 (Pubitemid 128645776)
    • (1998) Journal of Thermoplastic Composite Materials , vol.11 , Issue.5 , pp. 417-428
    • Byon, O.1    Nishi, Y.2    Sato, S.3
  • 40
    • 0031118885 scopus 로고    scopus 로고
    • Approximate elasticity solution for a long and thick laminated circular cylindrical shell of revolution
    • PII S0020768396001035
    • K. Chandrashekhara, and K.S. Nanjunda Rao Approximate elasticity solution for a long and thick laminated circular cylindrical shell of revolution Int J Solids Struct 34 2 1997 1327 1341 (Pubitemid 127419571)
    • (1997) International Journal of Solids and Structures , vol.34 , Issue.11 , pp. 1327-1341
    • Chandrashekhara, K.1    Nanjunda Rao, K.S.2
  • 41
    • 0036918290 scopus 로고    scopus 로고
    • Dynamic analysis of laminated cross-ply composite non-circular thick cylindrical shells using higher-order theory
    • DOI 10.1016/S0020-7683(02)00495-X, PII S002076830200495X
    • M. Ganapathi, B.P. Patel, and D.S. Pawargi Dynamic analysis of laminated cross-ply composite non-circular thick cylindrical shells using higher-order theory Int J Solids Struct 39 2002 5945 5962 (Pubitemid 36017231)
    • (2002) International Journal of Solids and Structures , vol.39 , Issue.24 , pp. 5945-5962
    • Ganapathi, M.1    Patel, B.P.2    Pawargi, D.S.3
  • 43
    • 41549088703 scopus 로고    scopus 로고
    • A global-local higher order theory for multilayered shells and the analysis of laminated cylindrical shell panels
    • DOI 10.1016/j.compstruct.2007.10.006, PII S0263822307002358
    • W. Zhen, and C. Wanji A globallocal higher order theory for multilayered shells and the analysis of laminated cylindrical shell panels Compos Struct 84 2008 350 361 (Pubitemid 351461212)
    • (2008) Composite Structures , vol.84 , Issue.4 , pp. 350-361
    • Zhen, W.1    Wanji, C.2
  • 44
    • 36348980633 scopus 로고    scopus 로고
    • Free vibration of higher-order sandwich and composite arches, Part I: Formulation
    • DOI 10.1016/j.jsv.2007.07.084, PII S0022460X07006207
    • S.R. Marura, and T. Kant Free vibration of higher-order sandwich and composite arches, Part I: formulation J Sound Vib 310 2008 91 109 (Pubitemid 350148194)
    • (2008) Journal of Sound and Vibration , vol.310 , Issue.1-2 , pp. 91-109
    • Marur, S.R.1    Kant, T.2
  • 45
    • 33646691468 scopus 로고    scopus 로고
    • Higher-order closed-form solutions for free vibration of laminated composite and sandwich shells
    • DOI 10.1177/1099636206062569
    • A.K. Garg, R.K. Khare, and T. Kant Higher-order closed-form solutions for free vibration of laminated composite and sandwich shells J Sandw Struct Mater 8 2006 205 235 (Pubitemid 43679153)
    • (2006) Journal of Sandwich Structures and Materials , vol.8 , Issue.3 , pp. 205-235
    • Garg, A.K.1    Khare, R.K.2    Kant, T.3
  • 48
    • 0027308031 scopus 로고
    • A critical review and some results of recently developed refined theories of fiber-reinforced laminated composites and sandwiches
    • T. Kant A critical review and some results of recently developed refined theories of fiber-reinforced laminated composites and sandwiches Compos Struct 23 1993 293 312
    • (1993) Compos Struct , vol.23 , pp. 293-312
    • Kant, T.1
  • 49
    • 0034209823 scopus 로고    scopus 로고
    • Hydrostatic buckling of shells with various boundary conditions
    • DOI 10.1016/S0143-974X(99)00104-2, PII S0143974X99001042
    • R. Pinna, and B.F. Ronalds Hydrostatic buckling of shells with various boundary conditions J Constr Steel Res 56 2000 1 16 (Pubitemid 30617312)
    • (2000) Journal of Constructional Steel Research , vol.56 , Issue.1 , pp. 1-16
    • Pinna, R.1    Ronalds, B.F.2


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