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Volumn 76, Issue , 2013, Pages 9-20

Accurate natural frequencies and critical speeds of a rotating functionally graded moderately thick cylindrical shell

Author keywords

Critical speed; Cylindrical shell; Functionally graded materials; Sanders theory

Indexed keywords

ANALYTICAL AND NUMERICAL METHODS; CIRCULAR CYLINDRICAL SHELLS; CRITICAL SPEED; CYLINDRICAL SHELL; EXACT ANALYTICAL SOLUTIONS; FORWARD-AND-BACKWARD; FUNCTIONALLY GRADED; SHEAR DEFORMATION THEORY;

EID: 84884865623     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmecsci.2013.08.005     Document Type: Article
Times cited : (66)

References (51)
  • 2
    • 85148696081 scopus 로고
    • A new theory for the buckling of thin cylinders under axial compression and bending
    • L.H. Donnell A new theory for the buckling of thin cylinders under axial compression and bending Transactions ASME 56 1934 795 806
    • (1934) Transactions ASME , vol.56 , pp. 795-806
    • Donnell, L.H.1
  • 3
    • 0003228428 scopus 로고
    • An improved first approximation theory for thin shells
    • J.L. Sanders An improved first approximation theory for thin shells NASA TR-R24 1959
    • (1959) NASA TR-R24
    • Sanders, J.L.1
  • 8
    • 0000279891 scopus 로고
    • Coriolis acceleration effect on the vibration of a rotating thin-walled circular cylinder
    • R. Taranto, and A.M. Lessen Coriolis acceleration effect on the vibration of a rotating thin-walled circular cylinder Transactions of ASME: Journal of Applied Mechanics 31 1964 700 701
    • (1964) Transactions of ASME: Journal of Applied Mechanics , vol.31 , pp. 700-701
    • Taranto, R.1    Lessen, A.M.2
  • 11
    • 0000711688 scopus 로고
    • Natural frequencies of rotating prestressed cylinders
    • J. Padovan Natural frequencies of rotating prestressed cylinders Journal of Sound and Vibration 31 1973 469 482
    • (1973) Journal of Sound and Vibration , vol.31 , pp. 469-482
    • Padovan, J.1
  • 12
    • 0016829076 scopus 로고
    • Travelling waves vibration and buckling of rotating anisotropic shells of revolution by finite elements
    • J. Padovan Travelling waves vibration and buckling of rotating anisotropic shells of revolution by finite elements International Journal of Solids and Structures 11 1975 1367 1380
    • (1975) International Journal of Solids and Structures , vol.11 , pp. 1367-1380
    • Padovan, J.1
  • 13
    • 0016522250 scopus 로고
    • Numerical analysis of asymmetric frequency and buckling of prestressed rotating anisotropic shells of revolution
    • J. Padovan Numerical analysis of asymmetric frequency and buckling of prestressed rotating anisotropic shells of revolution Computers and Structures 5 1975 145 154
    • (1975) Computers and Structures , vol.5 , pp. 145-154
    • Padovan, J.1
  • 14
  • 15
    • 0022717302 scopus 로고
    • Vibration of finite length, rotating cylindrical shells
    • DOI 10.1016/0022-460X(86)90279-8
    • T. Saito, and M. Endo Vibration of finite length rotating cylindrical shells Journal of Sound and Vibration 107 1 1986 17 28 (Pubitemid 16571446)
    • (1986) Journal of Sound and Vibration , vol.107 , Issue.1 , pp. 17-28
    • Saito, T.1    Endo, M.2
  • 16
    • 0023981828 scopus 로고
    • Effects of coriolis acceleration on the forced vibration of rotating cylindrical shells
    • S.C. Huang, and W. Soedel Effect of Coriolis acceleration on the forced vibration of rotating cylindrical shells Transactions of ASME: Journal of Applied Mechanics 55 1988 231 233 (Pubitemid 18590071)
    • (1988) Journal of Applied Mechanics, Transactions ASME , vol.55 , Issue.1 , pp. 231-233
    • Huang, S.C.1    Soedel, W.2
  • 17
    • 0025228182 scopus 로고
    • Resonant phenomena of a rotating cylindrical shell subjected to a harmonic moving load
    • DOI 10.1016/0022-460X(90)90852-Q
    • S.C. Huang, and B.S. Hsu Resonance phenomena of a rotating cylindrical shell subjected to a harmonic moving load Journal of Sound and Vibration 136 1990 215 228 (Pubitemid 20707119)
    • (1990) Journal of Sound and Vibration , vol.136 , Issue.2 , pp. 215-228
    • Huang, S.C.1    Hsu, B.S.2
  • 19
    • 0027911615 scopus 로고
    • Vibrations of high speed rotating shells with calculations for cylindrical shells
    • DOI 10.1006/jsvi.1993.1010
    • Y. Chen, H.B. Zhao, and Z.P. Chen Vibrations of high speed rotating shells with calculations for cylindrical shells Journal of Sound and Vibration 160 1993 137 160 (Pubitemid 23623542)
    • (1993) Journal of Sound and Vibration , vol.160 , Issue.1 , pp. 137-160
    • Chen, Y.1    Zhao, H.B.2    Shen, Z.P.3    Grieger, I.4    Kroplin, B.-H.5
  • 20
    • 0028420019 scopus 로고
    • Effect of rotation on vibration of moderately thick circular cylindrical shells
    • K.R. Sivadas, and N. Ganesan Effect of rotation on vibration of moderately thick circular cylindrical shells Journal of Vibration and Acoustics 116 1994 198 202
    • (1994) Journal of Vibration and Acoustics , vol.116 , pp. 198-202
    • Sivadas, K.R.1    Ganesan, N.2
  • 21
    • 0000557374 scopus 로고
    • On vibrations of thin rotating laminated composite cylindrical shells
    • K.Y. Lam, and C.T. Loy On vibrations of thin rotating laminated composite cylindrical shells Composites Engineering 4 11 1994 1153 1167
    • (1994) Composites Engineering , vol.4 , Issue.11 , pp. 1153-1167
    • Lam, K.Y.1    Loy, C.T.2
  • 22
    • 0002394275 scopus 로고
    • Analysis of rotating laminated cylindrical shells using different thin shell theories
    • K.Y. Lam, and C.T. Loy Analysis of rotating laminated cylindrical shells using different thin shell theories Journal of Sound and Vibration 186 1995 23 35
    • (1995) Journal of Sound and Vibration , vol.186 , pp. 23-35
    • Lam, K.Y.1    Loy, C.T.2
  • 23
    • 0031168020 scopus 로고    scopus 로고
    • Vibration analysis of a rotating truncated circular conical shell
    • PII S002076839600100X
    • K.Y. Lam, and L. Hua Vibration analysis of a rotating truncated circular conical shell International Journal of Solids and Structures 34 17 1997 2183 2197 (Pubitemid 127438590)
    • (1997) International Journal of Solids and Structures , vol.34 , Issue.17 , pp. 2183-2197
    • Lam, K.Y.1    Hua, L.2
  • 24
    • 0035832345 scopus 로고    scopus 로고
    • Orthotropic influence on frequency characteristics of a rotating composite laminated conical shell by the generalized differential quadrature method
    • DOI 10.1016/S0020-7683(00)00272-9, PII S0020768300002729
    • L. Hua, and K.Y. Lam Orthotropic influence on frequency characteristics of a thin rotating composites laminated conical shell using the generalized differential quadrature method International Journal of Solids and Structures 38 2001 3995 4015 (Pubitemid 32424997)
    • (2001) International Journal of Solids and Structures , vol.38 , Issue.22-23 , pp. 3995-4015
    • Hua, L.1    Lam, K.Y.2
  • 25
    • 0032063829 scopus 로고    scopus 로고
    • Frequency characteristics of a thin rotating cylindrical shell using the generalized differential quadrature method
    • PII S002074039700057X
    • H. Li, and K.Y. Lam Frequency characteristics of a thin rotating cylindrical shell using the generalized differential quadrature method International Journal of Mechanical Sciences 40 1998 443 459 (Pubitemid 128375095)
    • (1998) International Journal of Mechanical Sciences , vol.40 , Issue.5 , pp. 443-459
    • Hua, L.1    Lam, K.Y.2
  • 26
    • 0032179037 scopus 로고    scopus 로고
    • Free vibration of elastically supported thin cylinders including gyroscopic effects
    • P.W. Loveday, and C.A. Rogers Free vibration of elastically supported thin cylinders including gyroscopic effects Journal of Sound and Vibration 217 3 1998 547 562
    • (1998) Journal of Sound and Vibration , vol.217 , Issue.3 , pp. 547-562
    • Loveday, P.W.1    Rogers, C.A.2
  • 27
    • 0032188557 scopus 로고    scopus 로고
    • Vibration analysis of rotating composite cylindrical shells with orthogonal stiffeners
    • Y.S. Lee, and Y.M. Kim Vibration analysis of rotating composite cylindrical shells with orthogonal stiffeners Computers and Structures 69 1998 271 281
    • (1998) Computers and Structures , vol.69 , pp. 271-281
    • Lee, Y.S.1    Kim, Y.M.2
  • 28
    • 0035966342 scopus 로고    scopus 로고
    • Vibrations of rotating cross-ply laminated circular cylindrical shells with stringer and ring stiffeners
    • DOI 10.1016/S0020-7683(01)00194-9, PII S0020768301001949
    • X. Zhao, K.M. Liew, and T.Y. Ng Vibrations of rotating cross-ply laminated circular cylindrical shells with stringer and ring stiffeners International Journal of Solids and Structures 39 2002 529 545 (Pubitemid 34096355)
    • (2002) International Journal of Solids and Structures , vol.39 , Issue.2 , pp. 529-545
    • Zhao, X.1    Liew, K.M.2    Ng, T.Y.3
  • 29
    • 0036718585 scopus 로고    scopus 로고
    • Vibration of axially loaded rotating cross-ply laminated cylindrical shells via the Ritz method
    • K.M. Liew, T.Y. Ng, and X. Zhao Vibration of axially loaded rotating cross-ply laminated cylindrical shells via the Ritz method Transactions of ASCE: Journal of Engineering Mechanics 128 2002 1001
    • (2002) Transactions of ASCE: Journal of Engineering Mechanics , vol.128 , pp. 1001
    • Liew, K.M.1    Ng, T.Y.2    Zhao, X.3
  • 30
    • 0037119508 scopus 로고    scopus 로고
    • Harmonic reproducing kernel particle method for free vibration analysis of rotating cylindrical shells
    • K.M. Liew, T.Y. Ng, X. Zhao, and J.N. Reddy Harmonic reproducing kernel particle method for free vibration analysis of rotating cylindrical shells Computer Methods in Applied Mechanics 191 2002 4141 4157
    • (2002) Computer Methods in Applied Mechanics , vol.191 , pp. 4141-4157
    • Liew, K.M.1    Ng, T.Y.2    Zhao, X.3    Reddy, J.N.4
  • 32
    • 33845525219 scopus 로고    scopus 로고
    • Linear vibration analysis of isotropic conical shells by discrete singular convolution (DSC)
    • Ö. Civalek Linear vibration analysis of isotropic conical shells by discrete singular convolution (DSC) Structural Engineering and Mechanics 25 2007 127 130 (Pubitemid 44920140)
    • (2007) Structural Engineering and Mechanics , vol.25 , Issue.1 , pp. 127-130
    • Civalek, O.1
  • 33
    • 34548041846 scopus 로고    scopus 로고
    • A parametric study of the free vibration analysis of rotating laminated cylindrical shells using the method of discrete singular convolution
    • DOI 10.1016/j.tws.2007.05.004, PII S0263823107001267
    • Ö. Civalek A parametric study of the free vibration analysis of rotating laminated cylindrical shells using the method of discrete singular convolution Thin Walled Structures 45 2007 692 698 (Pubitemid 47284580)
    • (2007) Thin-Walled Structures , vol.45 , Issue.7-8 , pp. 692-698
    • Civalek, O.1
  • 34
    • 68449086868 scopus 로고    scopus 로고
    • Free vibration analysis of rotating cylindrical shells using discrete singular convolution technique
    • O. Civalek, and M. Gurses Free vibration analysis of rotating cylindrical shells using discrete singular convolution technique International Journal of Pressure Vessels and Piping 86 2009 677 683
    • (2009) International Journal of Pressure Vessels and Piping , vol.86 , pp. 677-683
    • Civalek, O.1    Gurses, M.2
  • 35
    • 0037084910 scopus 로고    scopus 로고
    • Vibration analysis of spinning cylindrical shells by finite element method
    • DOI 10.1016/S0020-7683(01)00031-2, PII S0020768301000312
    • D. Guo, Z. Zheng, and F. Chu Vibration analysis of spinning cylindrical shells by finite element method International Journal of Solids and Structures 39 2002 725 739 (Pubitemid 34254089)
    • (2002) International Journal of Solids and Structures , vol.39 , Issue.3 , pp. 725-739
    • Guo, D.1    Zheng, Z.2    Chu, F.3
  • 36
    • 0036497161 scopus 로고    scopus 로고
    • Parametric analysis of frequency of rotating laminated composite cylindrical shells with the wave propagation approach
    • PII S0045782501003681
    • X.M. Zhang Parametric analysis of frequency of rotating laminated composite cylindrical shells with the wave propagation approach Computer Methods in Applied Mechanics 191 2002 2029 2043 (Pubitemid 34249081)
    • (2002) Computer Methods in Applied Mechanics and Engineering , vol.191 , Issue.19-20 , pp. 2029-2043
    • Zhang, X.M.1
  • 37
    • 77955305320 scopus 로고    scopus 로고
    • Nonlinear dynamic response of rotating circular cylindrical shells with precession of vibrating shape - Part I: Numerical solution
    • Y.Q. Wang, X.H. Guo, H.H. Chang, and H.Y. Li Nonlinear dynamic response of rotating circular cylindrical shells with precession of vibrating shape - Part I: Numerical solution International Journal of Mechanical Sciences 52 2010 1217 1224
    • (2010) International Journal of Mechanical Sciences , vol.52 , pp. 1217-1224
    • Wang, Y.Q.1    Guo, X.H.2    Chang, H.H.3    Li, H.Y.4
  • 38
    • 84875225307 scopus 로고    scopus 로고
    • Vibration studies of rotating cylindrical shells with arbitrary edges using characteristic orthogonal polynomials in the Rayleigh-Ritz method
    • S. Sun, D. Cao, and Q. Han Vibration studies of rotating cylindrical shells with arbitrary edges using characteristic orthogonal polynomials in the Rayleigh-Ritz method International Journal of Mechanical Sciences 68 2013 180 189
    • (2013) International Journal of Mechanical Sciences , vol.68 , pp. 180-189
    • Sun, S.1    Cao, D.2    Han, Q.3
  • 39
    • 0033718156 scopus 로고    scopus 로고
    • Vibration characteristics of functionally graded cylindrical shells under various boundary conditions
    • S.C. Pradhan, C.T. Loy, K.Y. Lam, and J.N. Reddy Vibration characteristics of functionally graded cylindrical shells under various boundary conditions Applied Acoustics 61 2000 111 129
    • (2000) Applied Acoustics , vol.61 , pp. 111-129
    • Pradhan, S.C.1    Loy, C.T.2    Lam, K.Y.3    Reddy, J.N.4
  • 41
    • 78751646220 scopus 로고    scopus 로고
    • Natural frequency analysis of 2D-FGM thick hollow cylinder based on three-dimensional elasticity equations
    • M. Asgari, and M. Akhlaghi Natural frequency analysis of 2D-FGM thick hollow cylinder based on three-dimensional elasticity equations European Journal of Mechanics A - Solid 30 2011 72 81
    • (2011) European Journal of Mechanics A - Solid , vol.30 , pp. 72-81
    • Asgari, M.1    Akhlaghi, M.2
  • 42
    • 77956891979 scopus 로고    scopus 로고
    • Free vibration of three-layer circular cylindrical shells with functionally graded middle layer
    • S.R. Li, X.H. Fu, and R.C. Batra Free vibration of three-layer circular cylindrical shells with functionally graded middle layer Mechanics Research Communications 37 2010 577 580
    • (2010) Mechanics Research Communications , vol.37 , pp. 577-580
    • Li, S.R.1    Fu, X.H.2    Batra, R.C.3
  • 43
    • 75549083174 scopus 로고    scopus 로고
    • Vibration characteristics of FGM circular cylindrical shells using wave propagation approach
    • Z. Iqbal, M.N. Naeem, and N. Sultana Vibration characteristics of FGM circular cylindrical shells using wave propagation approach Acta Mechanica 208 2009 237 248
    • (2009) Acta Mechanica , vol.208 , pp. 237-248
    • Iqbal, Z.1    Naeem, M.N.2    Sultana, N.3
  • 44
    • 77953356042 scopus 로고    scopus 로고
    • Exact elasticity solution for the vibration of functionally graded anisotropic cylindrical shells
    • S.S. Vel Exact elasticity solution for the vibration of functionally graded anisotropic cylindrical shells Composite Structures 92 2010 2712 2727
    • (2010) Composite Structures , vol.92 , pp. 2712-2727
    • Vel, S.S.1
  • 45
    • 49049090130 scopus 로고    scopus 로고
    • Free vibration analysis of functionally graded curved panels using a higher-order finite element formulation
    • S. Pradyumna, and J.N. Bandyopadhyay Free vibration analysis of functionally graded curved panels using a higher-order finite element formulation Journal of Sound and Vibration 318 2008 176 192
    • (2008) Journal of Sound and Vibration , vol.318 , pp. 176-192
    • Pradyumna, S.1    Bandyopadhyay, J.N.2
  • 46
    • 31744450633 scopus 로고    scopus 로고
    • Three-dimensional free vibration analysis of inhomogeneous thick orthotropic shells of revolution using differential quadrature
    • DOI 10.1016/j.jsv.2005.07.018, PII S0022460X05004785
    • D. Redekop Three-dimensional free vibration analysis of inhomogeneous thick orthotropic shells of revolution using differential quadrature Journal of Sound and Vibration 291 2006 1029 1040 (Pubitemid 43173511)
    • (2006) Journal of Sound and Vibration , vol.291 , Issue.3-5 , pp. 1029-1040
    • Redekop, D.1
  • 47
    • 84861887402 scopus 로고    scopus 로고
    • Identification of the validity range of Donnell and Sanders shell theories using an exact vibration analysis of functionally graded thick cylindrical shell panel
    • Hashemi Sh. Hosseini, M.R. Ilkhani, and M. Fadaee Identification of the validity range of Donnell and Sanders shell theories using an exact vibration analysis of functionally graded thick cylindrical shell panel Acta Mechanica 223 5 2012 1101 1118
    • (2012) Acta Mechanica , vol.223 , Issue.5 , pp. 1101-1118
    • Hosseini, H.Sh.1    Ilkhani, M.R.2    Fadaee, M.3
  • 48
    • 70349904283 scopus 로고    scopus 로고
    • Vibration characteristics of rotating FGM circular cylindrical shells using wave propagation method
    • M. Ahmad, and M.N. Naeem Vibration characteristics of rotating FGM circular cylindrical shells using wave propagation method European Journal of Scientific Research 36 2 2009 184 235
    • (2009) European Journal of Scientific Research , vol.36 , Issue.2 , pp. 184-235
    • Ahmad, M.1    Naeem, M.N.2
  • 51
    • 0021122505 scopus 로고
    • Free vibrations of clamped-free circular cylinders
    • DOI 10.1016/0263-8231(84)90011-9
    • Sharma C.B. Free vibrations of clamped-free circular cylinders Thin-Walled Structures 1984 2 2 175-193.
    • (1984) Thin-Walled Structures , vol.2 , Issue.2 , pp. 175-193
    • Sharma, C.B.1


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