메뉴 건너뛰기




Volumn 205, Issue 1, 2007, Pages 251-271

Numerical analysis of free vibrations of laminated composite conical and cylindrical shells: Discrete singular convolution (DSC) approach

Author keywords

Cylindrical shell; Discrete singular convolution; Free vibration; Frequencies; Laminated conical shells; Numerical approach

Indexed keywords

APPROXIMATION ALGORITHMS; CYLINDERS (SHAPES); PLATES (STRUCTURAL COMPONENTS); PROBLEM SOLVING; SHELLS (STRUCTURES); VIBRATION ANALYSIS;

EID: 34247539537     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2006.05.001     Document Type: Article
Times cited : (167)

References (60)
  • 1
    • 85007716507 scopus 로고
    • Unsymmetric free vibrations of orthotropic sandwich shells of revolution
    • Bacon M., and Bert C.W. Unsymmetric free vibrations of orthotropic sandwich shells of revolution. AIAA J. 5 (1967) 413-417
    • (1967) AIAA J. , vol.5 , pp. 413-417
    • Bacon, M.1    Bert, C.W.2
  • 2
    • 0016105332 scopus 로고
    • Composite material mechanics: structural mechanics
    • Bert C.W., and Francis P.H. Composite material mechanics: structural mechanics. AIAA J. 12 (1974) 1173-1186
    • (1974) AIAA J. , vol.12 , pp. 1173-1186
    • Bert, C.W.1    Francis, P.H.2
  • 3
    • 0019572785 scopus 로고
    • Vibration of conical shells
    • Chang C.H. Vibration of conical shells. Shock Vibration Digest 13 1 (1981) 9-17
    • (1981) Shock Vibration Digest , vol.13 , Issue.1 , pp. 9-17
    • Chang, C.H.1
  • 4
    • 34247525354 scopus 로고    scopus 로고
    • Ö. Civalek, Finite Element Analyses of Plates and Shells, Elaziover(g, ̌), Firat University, 1998 (in Turkish).
  • 5
    • 34247548577 scopus 로고    scopus 로고
    • Ö.Civalek, Geometrically non-linear static and dynamic analysis of plates and shells resting on elastic foundation by the method of polynomial differential quadrature (PDQ), Ph.D. Thesis, Firat University, Elazig, 2004 (in Turkish).
  • 6
    • 31644438871 scopus 로고    scopus 로고
    • An efficient method for free vibration analysis of rotating truncated conical shells
    • Civalek O. An efficient method for free vibration analysis of rotating truncated conical shells. Internat. J. Pressure Vessels Piping 83 (2006) 1-12
    • (2006) Internat. J. Pressure Vessels Piping , vol.83 , pp. 1-12
    • Civalek, O.1
  • 7
    • 0033729425 scopus 로고    scopus 로고
    • Frequency characteristics of a rotating truncated circular layered conical shell
    • Hua L. Frequency characteristics of a rotating truncated circular layered conical shell. Composite Structures 50 (2000) 59-68
    • (2000) Composite Structures , vol.50 , pp. 59-68
    • Hua, L.1
  • 8
    • 0034501826 scopus 로고    scopus 로고
    • Frequency analysis of rotating truncated circular orthotropic conical shells with different boundary conditions
    • Hua L. Frequency analysis of rotating truncated circular orthotropic conical shells with different boundary conditions. Composites Sci. Technol. 60 (2000) 2945-2955
    • (2000) Composites Sci. Technol. , vol.60 , pp. 2945-2955
    • Hua, L.1
  • 9
    • 0034734146 scopus 로고    scopus 로고
    • The generalized differential quadrature method for frequency analysis of a rotating conical shell with initial pressure
    • Hua L., and Lam K.Y. The generalized differential quadrature method for frequency analysis of a rotating conical shell with initial pressure. Internat. J. Numer. Methods Eng. 48 (2000) 1703-1722
    • (2000) Internat. J. Numer. Methods Eng. , vol.48 , pp. 1703-1722
    • Hua, L.1    Lam, K.Y.2
  • 10
    • 0020477347 scopus 로고
    • Free vibration of a conical shell with variable thickness
    • Irie T., Yamada G., and Kaneko Y. Free vibration of a conical shell with variable thickness. J. Sound Vibration 82 (1982) 83-94
    • (1982) J. Sound Vibration , vol.82 , pp. 83-94
    • Irie, T.1    Yamada, G.2    Kaneko, Y.3
  • 11
    • 0021757430 scopus 로고
    • Natural frequencies of truncated conical shells
    • Irie T., Yamada G., and Tanaka K. Natural frequencies of truncated conical shells. J. Sound Vibration 92 3 (1984) 447-453
    • (1984) J. Sound Vibration , vol.92 , Issue.3 , pp. 447-453
    • Irie, T.1    Yamada, G.2    Tanaka, K.3
  • 13
    • 0031168020 scopus 로고    scopus 로고
    • Vibration analysis of rotating truncated circular conical shell
    • Li Hua
    • Lam K.Y., and Li Hua. Vibration analysis of rotating truncated circular conical shell. Internat. J. Solids and Structures 34 17 (1997) 2183-2197
    • (1997) Internat. J. Solids and Structures , vol.34 , Issue.17 , pp. 2183-2197
    • Lam, K.Y.1
  • 14
    • 0002394275 scopus 로고
    • Analysis of rotating laminated cylindrical shells by different shell theories
    • Lam K.Y., and Loy C.T. Analysis of rotating laminated cylindrical shells by different shell theories. J. Sound Vibration 186 1 (1995) 23-35
    • (1995) J. Sound Vibration , vol.186 , Issue.1 , pp. 23-35
    • Lam, K.Y.1    Loy, C.T.2
  • 15
    • 85040266580 scopus 로고    scopus 로고
    • A.W. Leissa, Vibration of shells, NASA, SP-288, 1973.
  • 16
    • 0034204983 scopus 로고    scopus 로고
    • Vibration characteristics of conical shell panels with three-dimensional flexibility
    • Liew K.M., and Feng Z.C. Vibration characteristics of conical shell panels with three-dimensional flexibility. J. Appl. Mech. 67 2 (2000) 314-320
    • (2000) J. Appl. Mech. , vol.67 , Issue.2 , pp. 314-320
    • Liew, K.M.1    Feng, Z.C.2
  • 17
    • 0028375619 scopus 로고
    • Vibratory characteristics of cantilevered rectangular shallow shells of variable thickness
    • Liew K.M., and Lim C.W. Vibratory characteristics of cantilevered rectangular shallow shells of variable thickness. AIAA J. 32 2 (1994) 387-396
    • (1994) AIAA J. , vol.32 , Issue.2 , pp. 387-396
    • Liew, K.M.1    Lim, C.W.2
  • 18
    • 0028447377 scopus 로고
    • Vibration of perforated doubly-curved shallow shells with rounded corners
    • Liew K.M., and Lim C.W. Vibration of perforated doubly-curved shallow shells with rounded corners. Internat. J. Solids and Structures 31 11 (1994) 1519-1536
    • (1994) Internat. J. Solids and Structures , vol.31 , Issue.11 , pp. 1519-1536
    • Liew, K.M.1    Lim, C.W.2
  • 19
    • 0001273217 scopus 로고
    • Effects of initial twist and thickness variation on the vibration behaviour of shallow conical shells
    • Liew K.M., Lim M.K., Lim C.W., Li D.B., and Zhang Y.R. Effects of initial twist and thickness variation on the vibration behaviour of shallow conical shells. J. Sound Vibration 180 2 (1995) 272-296
    • (1995) J. Sound Vibration , vol.180 , Issue.2 , pp. 272-296
    • Liew, K.M.1    Lim, M.K.2    Lim, C.W.3    Li, D.B.4    Zhang, Y.R.5
  • 20
    • 0036718585 scopus 로고    scopus 로고
    • Vibration of axially loaded rotating cross-ply laminated cylindrical shells via Ritz method
    • Liew K.M., Ng T.Y., and Zhao X. Vibration of axially loaded rotating cross-ply laminated cylindrical shells via Ritz method. J. Eng. Mech. ASCE 128 9 (2002) 1001-1007
    • (2002) J. Eng. Mech. ASCE , vol.128 , Issue.9 , pp. 1001-1007
    • Liew, K.M.1    Ng, T.Y.2    Zhao, X.3
  • 21
    • 13444311650 scopus 로고    scopus 로고
    • Free vibration analysis of conical shells via the element-free kp-Ritz method
    • Liew K.M., Ng T.Y., and Zhao X. Free vibration analysis of conical shells via the element-free kp-Ritz method. J. Sound Vibration 281 3-5 (2005) 627-645
    • (2005) J. Sound Vibration , vol.281 , Issue.3-5 , pp. 627-645
    • Liew, K.M.1    Ng, T.Y.2    Zhao, X.3
  • 22
    • 0000889831 scopus 로고    scopus 로고
    • Effects of subtended and vertex angles of the free vibration of open conical shell panels: a conical co-ordinate approach
    • Lim C.W., and Kitipornchai S. Effects of subtended and vertex angles of the free vibration of open conical shell panels: a conical co-ordinate approach. J. Sound Vibration 219 5 (1999) 813-835
    • (1999) J. Sound Vibration , vol.219 , Issue.5 , pp. 813-835
    • Lim, C.W.1    Kitipornchai, S.2
  • 23
    • 11044227692 scopus 로고    scopus 로고
    • DSC-Ritz method for high-mode frequency analysis of thick shallow shells
    • Lim C.W., Li Z.R., and Wei G.W. DSC-Ritz method for high-mode frequency analysis of thick shallow shells. Internat. J. Numer. Methods Eng. 62 (2005) 205-232
    • (2005) Internat. J. Numer. Methods Eng. , vol.62 , pp. 205-232
    • Lim, C.W.1    Li, Z.R.2    Wei, G.W.3
  • 24
    • 33847609995 scopus 로고    scopus 로고
    • On the missing modes when using the exact frequency relationship between Kirchhoff and Mindlin plates
    • Lim C.W., Li Z.R., Xiang Y., Wei G.W., and Wang C.M. On the missing modes when using the exact frequency relationship between Kirchhoff and Mindlin plates. Adv. Vibration Eng. 4 (2005) 221-248
    • (2005) Adv. Vibration Eng. , vol.4 , pp. 221-248
    • Lim, C.W.1    Li, Z.R.2    Xiang, Y.3    Wei, G.W.4    Wang, C.M.5
  • 25
    • 0028769407 scopus 로고
    • A pb-2 Ritz formulation for flexural vibration of shallow cylindrical shells of rectangular planform
    • Lim C.W., and Liew K.M. A pb-2 Ritz formulation for flexural vibration of shallow cylindrical shells of rectangular planform. J. Sound Vibration 173 3 (1994) 343-375
    • (1994) J. Sound Vibration , vol.173 , Issue.3 , pp. 343-375
    • Lim, C.W.1    Liew, K.M.2
  • 26
    • 0029107769 scopus 로고
    • Vibratory behaviour of shallow conical shells by a global Ritz formulation
    • Lim C.W., and Liew K.M. Vibratory behaviour of shallow conical shells by a global Ritz formulation. Eng. Structures 17 1 (1995) 63-70
    • (1995) Eng. Structures , vol.17 , Issue.1 , pp. 63-70
    • Lim, C.W.1    Liew, K.M.2
  • 27
    • 0030082114 scopus 로고    scopus 로고
    • Vibration of shallow conical shells with shear flexibility: a first-order theory
    • Lim C.W., and Liew K.M. Vibration of shallow conical shells with shear flexibility: a first-order theory. Internat. J. Solids and Structures 33 4 (1996) 451-468
    • (1996) Internat. J. Solids and Structures , vol.33 , Issue.4 , pp. 451-468
    • Lim, C.W.1    Liew, K.M.2
  • 28
    • 0000816773 scopus 로고
    • Free vibration of pretwisted, cantilevered composite shallow conical
    • Lim C.W., Liew K.M., and Kitipornchai S. Free vibration of pretwisted, cantilevered composite shallow conical. AIAA J. 35 (1995) 327-333
    • (1995) AIAA J. , vol.35 , pp. 327-333
    • Lim, C.W.1    Liew, K.M.2    Kitipornchai, S.3
  • 29
    • 0032076349 scopus 로고    scopus 로고
    • Vibration of cantilevered laminated composite shallow conical shells
    • Lim C.W., Liew K.M., and Kitipornchai S. Vibration of cantilevered laminated composite shallow conical shells. Internat. J. Solids and Structures 35 15 (1998) 1695-1707
    • (1998) Internat. J. Solids and Structures , vol.35 , Issue.15 , pp. 1695-1707
    • Lim, C.W.1    Liew, K.M.2    Kitipornchai, S.3
  • 30
    • 0001488832 scopus 로고
    • On the small free vibrations and deformations of thin elastic shells
    • Love A.E.H. On the small free vibrations and deformations of thin elastic shells. Philos. Trans. Roy. Soc. London 179A (1988) 491-546
    • (1988) Philos. Trans. Roy. Soc. London , vol.179 A , pp. 491-546
    • Love, A.E.H.1
  • 31
    • 16544373226 scopus 로고    scopus 로고
    • Comparison of discrete singular convolution and generalized differential quadrature for the vibration analysis of rectangular plates
    • Ng C.H.W., Zhao Y.B., and Wei G.W. Comparison of discrete singular convolution and generalized differential quadrature for the vibration analysis of rectangular plates. Comput. Methods Appl. Mech. Eng. 193 (2004) 2483-2506
    • (2004) Comput. Methods Appl. Mech. Eng. , vol.193 , pp. 2483-2506
    • Ng, C.H.W.1    Zhao, Y.B.2    Wei, G.W.3
  • 33
    • 0030192478 scopus 로고    scopus 로고
    • Free vibration analysis of composite laminated conical shells by generalized differential quadrature
    • Shu C. Free vibration analysis of composite laminated conical shells by generalized differential quadrature. J. Sound Vibration 194 4 (1996) 587-604
    • (1996) J. Sound Vibration , vol.194 , Issue.4 , pp. 587-604
    • Shu, C.1
  • 34
    • 0030216746 scopus 로고    scopus 로고
    • An efficient approach for free vibration analysis of conical shells
    • Shu C. An efficient approach for free vibration analysis of conical shells. Internat. J. Mech. Sci. 38 8/9 (1996) 935-949
    • (1996) Internat. J. Mech. Sci. , vol.38 , Issue.8-9 , pp. 935-949
    • Shu, C.1
  • 35
    • 0030691474 scopus 로고    scopus 로고
    • Free vibration analysis of laminated composite cylindrical shells by DQM
    • Shu C., and Du H. Free vibration analysis of laminated composite cylindrical shells by DQM. Composites Part B 28 (1997) 267-274
    • (1997) Composites Part B , vol.28 , pp. 267-274
    • Shu, C.1    Du, H.2
  • 36
    • 0000881718 scopus 로고
    • Free vibrational analysis of sandwich conical shells with free edges
    • Siu C.C., and Bert C.W. Free vibrational analysis of sandwich conical shells with free edges. J. Acoust. Soc. Amer. 47 (1970) 943-945
    • (1970) J. Acoust. Soc. Amer. , vol.47 , pp. 943-945
    • Siu, C.C.1    Bert, C.W.2
  • 37
    • 0027114777 scopus 로고
    • Vibration analysis of thick composite clamped conical shells with variable thickness
    • Sivadas K.R., and Ganesan N. Vibration analysis of thick composite clamped conical shells with variable thickness. J. Sound Vibration 152 (1992) 27-37
    • (1992) J. Sound Vibration , vol.152 , pp. 27-37
    • Sivadas, K.R.1    Ganesan, N.2
  • 38
    • 34247483789 scopus 로고    scopus 로고
    • W. Soedel, Vibrations of Shells and Plates, second ed., Revised and Expanded, Marcel Dekker Inc., New York, 1996.
  • 39
    • 0027593625 scopus 로고
    • Free vibration of orthotropic conical shells
    • Tong L. Free vibration of orthotropic conical shells. Internat. J. Eng. Sci. 31 5 (1993) 719-733
    • (1993) Internat. J. Eng. Sci. , vol.31 , Issue.5 , pp. 719-733
    • Tong, L.1
  • 40
    • 0027306587 scopus 로고
    • Free vibration of composite laminated conical shells
    • Tong L. Free vibration of composite laminated conical shells. Internat. J. Mech. Sci. 35 1 (1993) 47-61
    • (1993) Internat. J. Mech. Sci. , vol.35 , Issue.1 , pp. 47-61
    • Tong, L.1
  • 41
    • 0028371733 scopus 로고
    • Free vibration of laminated conical shells including transverse shear deformation
    • Tong L. Free vibration of laminated conical shells including transverse shear deformation. Internat. J. Solids Structure 31 (1994) 443-456
    • (1994) Internat. J. Solids Structure , vol.31 , pp. 443-456
    • Tong, L.1
  • 42
    • 0037139423 scopus 로고    scopus 로고
    • Numerical solution of unsteady incompressible flows by the discrete singular convolution
    • Wan D.C., Zhou Y.C., and Wei G.W. Numerical solution of unsteady incompressible flows by the discrete singular convolution. Internat. J. Numer. Methods Fluid 38 (2002) 789-810
    • (2002) Internat. J. Numer. Methods Fluid , vol.38 , pp. 789-810
    • Wan, D.C.1    Zhou, Y.C.2    Wei, G.W.3
  • 43
    • 26444583020 scopus 로고    scopus 로고
    • Discrete singular convolution for the solution of the Fokker-Planck equations
    • Wei G.W. Discrete singular convolution for the solution of the Fokker-Planck equations. J. Chem. Phys. 110 (1999) 8930-8942
    • (1999) J. Chem. Phys. , vol.110 , pp. 8930-8942
    • Wei, G.W.1
  • 44
    • 0347945239 scopus 로고    scopus 로고
    • Discrete singular convolution for the sine-Gordon equation
    • Wei G.W. Discrete singular convolution for the sine-Gordon equation. Phys. D 137 (2000) 247-259
    • (2000) Phys. D , vol.137 , pp. 247-259
    • Wei, G.W.1
  • 45
    • 0034362597 scopus 로고    scopus 로고
    • Wavelets generated by using discrete singular convolution kernels
    • Wei G.W. Wavelets generated by using discrete singular convolution kernels. J. Phys. A 33 (2000) 8577-8596
    • (2000) J. Phys. A , vol.33 , pp. 8577-8596
    • Wei, G.W.1
  • 46
    • 0033880137 scopus 로고    scopus 로고
    • Solving quantum eigenvalue problems by discrete singular convolution
    • Wei G.W. Solving quantum eigenvalue problems by discrete singular convolution. J. Phys. B 33 (2000) 343-352
    • (2000) J. Phys. B , vol.33 , pp. 343-352
    • Wei, G.W.1
  • 47
    • 0035808191 scopus 로고    scopus 로고
    • A new algorithm for solving some mechanical problems
    • Wei G.W. A new algorithm for solving some mechanical problems. Comput. Methods Appl. Mech. Eng. 190 (2001) 2017-2030
    • (2001) Comput. Methods Appl. Mech. Eng. , vol.190 , pp. 2017-2030
    • Wei, G.W.1
  • 48
    • 0035850205 scopus 로고    scopus 로고
    • Vibration analysis by discrete singular convolution
    • Wei G.W. Vibration analysis by discrete singular convolution. J. Sound Vibration 244 (2001) 535-553
    • (2001) J. Sound Vibration , vol.244 , pp. 535-553
    • Wei, G.W.1
  • 49
    • 0035451995 scopus 로고    scopus 로고
    • Discrete singular convolution for beam analysis
    • Wei G.W. Discrete singular convolution for beam analysis. Eng. Structures 23 (2001) 1045-1053
    • (2001) Eng. Structures , vol.23 , pp. 1045-1053
    • Wei, G.W.1
  • 50
    • 0037114626 scopus 로고    scopus 로고
    • Conjugate filter approach for solving Burgers' equation
    • Wei G.W., and Yun G. Conjugate filter approach for solving Burgers' equation. J. Comput. Appl. Math. 149 (2002) 439-456
    • (2002) J. Comput. Appl. Math. , vol.149 , pp. 439-456
    • Wei, G.W.1    Yun, G.2
  • 51
    • 0035427408 scopus 로고    scopus 로고
    • The determination of natural frequencies of rectangular plates with mixed boundary conditions by discrete singular convolution
    • Wei G.W., Zhao Y.B., and Xiang Y. The determination of natural frequencies of rectangular plates with mixed boundary conditions by discrete singular convolution. Internat. J. Mech. Sci. 43 (2001) 1731-1746
    • (2001) Internat. J. Mech. Sci. , vol.43 , pp. 1731-1746
    • Wei, G.W.1    Zhao, Y.B.2    Xiang, Y.3
  • 52
    • 0037145686 scopus 로고    scopus 로고
    • Discrete singular convolution and its application to the analysis of plates with internal supports. Part 1: theory and algorithm
    • Wei G.W., Zhao Y.B., and Xiang Y. Discrete singular convolution and its application to the analysis of plates with internal supports. Part 1: theory and algorithm. Internat. J. Numer. Methods Eng. 55 (2002) 913-946
    • (2002) Internat. J. Numer. Methods Eng. , vol.55 , pp. 913-946
    • Wei, G.W.1    Zhao, Y.B.2    Xiang, Y.3
  • 53
    • 0037126467 scopus 로고    scopus 로고
    • A novel approach for the analysis of high-frequency vibrations
    • Wei G.W., Zhao Y.B., and Xiang Y. A novel approach for the analysis of high-frequency vibrations. J. Sound Vibration 257 2 (2002) 207-246
    • (2002) J. Sound Vibration , vol.257 , Issue.2 , pp. 207-246
    • Wei, G.W.1    Zhao, Y.B.2    Xiang, Y.3
  • 54
    • 0005794970 scopus 로고    scopus 로고
    • Asymptotic differential quadrature solutions for the free vibration of laminated conical shells
    • Wu C.-P., and C-H .W. Asymptotic differential quadrature solutions for the free vibration of laminated conical shells. Computat. Mech. 25 (2000) 346-357
    • (2000) Computat. Mech. , vol.25 , pp. 346-357
    • Wu, C.-P.1    C-H, .W.2
  • 55
    • 0041870159 scopus 로고
    • On vibrations of orthotropic conical shells
    • Yang C.C. On vibrations of orthotropic conical shells. J. Sound Vibration 34 (1974) 552-555
    • (1974) J. Sound Vibration , vol.34 , pp. 552-555
    • Yang, C.C.1
  • 56
    • 11044237003 scopus 로고    scopus 로고
    • DSC-Ritz method for the free vibration analysis of Mindlin plates
    • Yunshan H., Wei G.W., and Xiang Y. DSC-Ritz method for the free vibration analysis of Mindlin plates. Internat. J. Numer. Methods Eng. 62 (2005) 262-288
    • (2005) Internat. J. Numer. Methods Eng. , vol.62 , pp. 262-288
    • Yunshan, H.1    Wei, G.W.2    Xiang, Y.3
  • 57
    • 17444422521 scopus 로고    scopus 로고
    • DSC analysis of free-edged beams by an iteratively matched boundary method
    • Zhao S., Wei G.W., and Xiang Y. DSC analysis of free-edged beams by an iteratively matched boundary method. J. Sound Vibration 284 (2005) 487-493
    • (2005) J. Sound Vibration , vol.284 , pp. 487-493
    • Zhao, S.1    Wei, G.W.2    Xiang, Y.3
  • 58
    • 0037426650 scopus 로고    scopus 로고
    • DSC analysis of rectangular plates with non-uniform boundary conditions
    • Zhao Y.B., and Wei G.W. DSC analysis of rectangular plates with non-uniform boundary conditions. J. Sound Vibration 255 2 (2002) 203-228
    • (2002) J. Sound Vibration , vol.255 , Issue.2 , pp. 203-228
    • Zhao, Y.B.1    Wei, G.W.2
  • 59
    • 0035861785 scopus 로고    scopus 로고
    • Discrete singular convolution for the prediction of high frequency vibration of plates
    • Zhao Y.B., Wei G.W., and Xiang Y. Discrete singular convolution for the prediction of high frequency vibration of plates. Internat. J. Solids and Structures 39 (2002) 65-88
    • (2002) Internat. J. Solids and Structures , vol.39 , pp. 65-88
    • Zhao, Y.B.1    Wei, G.W.2    Xiang, Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.