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Volumn 69, Issue 1, 2005, Pages 77-87

3D free vibration analysis of cross-ply laminated plates with one pair of opposite edges simply supported

Author keywords

Cross ply laminated rectangular plates; Differential quadrature; Free vibration; Three dimensional theory of elasticity

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; ELASTICITY; FUNCTIONS; LAMINATES; PARAMETER ESTIMATION; VIBRATIONS (MECHANICAL);

EID: 11244327837     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2004.05.015     Document Type: Article
Times cited : (86)

References (45)
  • 1
    • 0043139542 scopus 로고
    • Buckling of sandwich cylinders under axial load
    • Sylvester R.J. Buckling of sandwich cylinders under axial load J. Aeronaut. Sci. 29 1962 863-872
    • (1962) J. Aeronaut. Sci. , vol.29 , pp. 863-872
    • Sylvester, R.J.1
  • 2
    • 0003491390 scopus 로고
    • Theory of plates and shells
    • New York: McGraw Hill
    • Timoshenko S.P. Woinowsky-Krieger S. Theory of plates and shells 1959 McGraw Hill New York
    • (1959)
    • Timoshenko, S.P.1    Woinowsky-Krieger, S.2
  • 3
    • 0004042170 scopus 로고
    • Theory and analysis of plates (classical and numerical methods)
    • New Jersey: Prentice-Hall
    • Szilard R. Theory and analysis of plates (classical and numerical methods) 1974 Prentice-Hall New Jersey
    • (1974)
    • Szilard, R.1
  • 4
    • 85024507520 scopus 로고
    • Bending and stretching of certain types of heterogeneous aelotropic elastic plates
    • Reissner E. Stavsky Y. Bending and stretching of certain types of heterogeneous aelotropic elastic plates ASME J. Appl. Mech. 28 1961 402-408
    • (1961) ASME J. Appl. Mech. , vol.28 , pp. 402-408
    • Reissner, E.1    Stavsky, Y.2
  • 5
    • 0003544435 scopus 로고
    • Structural analysis of laminated anisotropic plates
    • Lancaster: Technomic
    • Whitney J.M. Structural analysis of laminated anisotropic plates 1987 Technomic Lancaster
    • (1987)
    • Whitney, J.M.1
  • 6
    • 0018529461 scopus 로고
    • Free vibration of antisymmetric angle ply laminated plates including transverse shear deformation by the finite element method
    • Reddy J.N. Free vibration of antisymmetric angle ply laminated plates including transverse shear deformation by the finite element method J. Sound Vibr. 4 1979 565-576
    • (1979) J. Sound Vibr. , vol.4 , pp. 565-576
    • Reddy, J.N.1
  • 7
    • 0024775632 scopus 로고
    • Stress and free vibration analysis of multilayer composite plates
    • Noor A.K. Burton W.S. Stress and free vibration analysis of multilayer composite plates Compos. Struct. 11 1989 183-204
    • (1989) Compos. Struct. , vol.11 , pp. 183-204
    • Noor, A.K.1    Burton, W.S.2
  • 8
    • 0031279013 scopus 로고    scopus 로고
    • Differential quadrature: A powerful new technique for analysis of composite structures
    • Bert C.W. Malik M. Differential quadrature: A powerful new technique for analysis of composite structures Compos. Struct. 39 1997 179-189
    • (1997) Compos. Struct. , vol.39 , pp. 179-189
    • Bert, C.W.1    Malik, M.2
  • 9
    • 0016037481 scopus 로고
    • A refined theory for laminated orthotropic plates
    • Nelson R.B. Lorch D.R. A refined theory for laminated orthotropic plates ASME J. Appl. Mech. 41 1974 177-183
    • (1974) ASME J. Appl. Mech. , vol.41 , pp. 177-183
    • Nelson, R.B.1    Lorch, D.R.2
  • 10
    • 0021857259 scopus 로고
    • Stability and vibration of isotropic, orthotropic and laminated plates according to a higher-order shear deformable theory
    • Reddy J.N. Phan N.D. Stability and vibration of isotropic, orthotropic and laminated plates according to a higher-order shear deformable theory J. Sound Vibr. 98 1985 157-170
    • (1985) J. Sound Vibr. , vol.98 , pp. 157-170
    • Reddy, J.N.1    Phan, N.D.2
  • 11
    • 0023834793 scopus 로고
    • Analysis of symmetric cross-ply laminated elastic plates using a higher-order theory. Part II: Buckling and free vibration
    • Khdeir A.A. Librescu L. Analysis of symmetric cross-ply laminated elastic plates using a higher-order theory. Part II: Buckling and free vibration Compos. Struct. 9 1988 259-277
    • (1988) Compos. Struct. , vol.9 , pp. 259-277
    • Khdeir, A.A.1    Librescu, L.2
  • 12
    • 0024282011 scopus 로고
    • Free vibration and buckling of symmetric cross-ply laminated plates by an exact method
    • Khdeir A.A. Free vibration and buckling of symmetric cross-ply laminated plates by an exact method J. Sound Vibr. 126 1988 447-461
    • (1988) J. Sound Vibr. , vol.126 , pp. 447-461
    • Khdeir, A.A.1
  • 13
    • 0024714055 scopus 로고
    • Free vibration of symmetrically laminated plates using a higher order theory with finite element technique
    • Mallikarjuna Kant T. Free vibration of symmetrically laminated plates using a higher order theory with finite element technique Int. J. Numer. Meth. Eng. 28 1989 1875-1889
    • (1989) Int. J. Numer. Meth. Eng. , vol.28 , pp. 1875-1889
    • Mallikarjuna, A.1    Kant, T.2
  • 14
    • 0028763416 scopus 로고
    • Vibration and stability of laminated plates based on a local high order plate theory
    • Wu C.P. Chen W.Y. Vibration and stability of laminated plates based on a local high order plate theory J. Sound Vibr. 177 1994 503-520
    • (1994) J. Sound Vibr. , vol.177 , pp. 503-520
    • Wu, C.P.1    Chen, W.Y.2
  • 15
    • 0034188183 scopus 로고    scopus 로고
    • Natural vibration analysis of symmetrical cross-ply laminated plates using a mixed variational formulation
    • Zenkour A.M. Natural vibration analysis of symmetrical cross-ply laminated plates using a mixed variational formulation Eur. J. Mech. A/Solids 19 2000 469-485
    • (2000) Eur. J. Mech. A/Solids , vol.19 , pp. 469-485
    • Zenkour, A.M.1
  • 16
    • 0033881238 scopus 로고    scopus 로고
    • Vibration and stability of cross-ply laminated composite plates according to a global higher-order plate theory
    • Matsunaga H. Vibration and stability of cross-ply laminated composite plates according to a global higher-order plate theory Compos. Struct. 48 2000 231-244
    • (2000) Compos. Struct. , vol.48 , pp. 231-244
    • Matsunaga, H.1
  • 17
    • 0037403409 scopus 로고    scopus 로고
    • Vibration analysis of cross-ply laminated square plates with general boundary conditions
    • Aydogdu M. Timarci T. Vibration analysis of cross-ply laminated square plates with general boundary conditions Compos. Sci. Technol. 63 2003 1061-1070
    • (2003) Compos. Sci. Technol. , vol.63 , pp. 1061-1070
    • Aydogdu, M.1    Timarci, T.2
  • 18
    • 0015585606 scopus 로고
    • Theories for the dynamic response of laminated plates
    • Sun C.T. Whitney J.M. Theories for the dynamic response of laminated plates AIAA J. 11 1973 178-183
    • (1973) AIAA J. , vol.11 , pp. 178-183
    • Sun, C.T.1    Whitney, J.M.2
  • 19
    • 0023347585 scopus 로고
    • A generalization of two-dimensional theories of laminated composite plates
    • Reddy J.N. A generalization of two-dimensional theories of laminated composite plates Commun. Appl. Numer. Meth. 3 1987 173-180
    • (1987) Commun. Appl. Numer. Meth. , vol.3 , pp. 173-180
    • Reddy, J.N.1
  • 20
    • 0026120773 scopus 로고
    • Free vibrations of laminated rectangular plates analyzed by higher order individual-layer theory
    • Cho K.N. Bert C.W. Striz A.G. Free vibrations of laminated rectangular plates analyzed by higher order individual-layer theory J. Sound Vibr. 145 1991 429-442
    • (1991) J. Sound Vibr. , vol.145 , pp. 429-442
    • Cho, K.N.1    Bert, C.W.2    Striz, A.G.3
  • 21
    • 0027796911 scopus 로고
    • Free vibration analysis of laminated plates using a layerwise theory
    • Nosier A. Kapania R.K. Reddy J.N. Free vibration analysis of laminated plates using a layerwise theory AIAA J. 31 1993 2335-2346
    • (1993) AIAA J. , vol.31 , pp. 2335-2346
    • Nosier, A.1    Kapania, R.K.2    Reddy, J.N.3
  • 22
    • 0037290987 scopus 로고    scopus 로고
    • Dynamic analysis of laminated composite plates using a layer-wise mixed finite element model
    • Desai Y.M. Ramtekkar G.S. Shah A.H. Dynamic analysis of laminated composite plates using a layer-wise mixed finite element model Compos. Struct. 59 2003 237-249
    • (2003) Compos. Struct. , vol.59 , pp. 237-249
    • Desai, Y.M.1    Ramtekkar, G.S.2    Shah, A.H.3
  • 23
    • 0000965178 scopus 로고
    • An exact analysis for vibration of simply-supported homogeneous and laminated thick rectangular plates
    • Srinivas S. Rao C.V.J. Rao A.K. An exact analysis for vibration of simply-supported homogeneous and laminated thick rectangular plates J. Sound Vibr. 12 1970 187-199
    • (1970) J. Sound Vibr. , vol.12 , pp. 187-199
    • Srinivas, S.1    Rao, C.V.J.2    Rao, A.K.3
  • 24
    • 34247581039 scopus 로고
    • Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates
    • Srinivas S. Rao A.K. Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates Int. J. Solids Struct. 6 1970 1463-1481
    • (1970) Int. J. Solids Struct. , vol.6 , pp. 1463-1481
    • Srinivas, S.1    Rao, A.K.2
  • 25
    • 0025398850 scopus 로고
    • Three-dimensional solutions for antisymmetrically laminated anisotropic plates
    • Noor A.K. Burton W.S. Three-dimensional solutions for antisymmetrically laminated anisotropic plates ASME J. Appl. Mech. 57 1990 182-188
    • (1990) ASME J. Appl. Mech. , vol.57 , pp. 182-188
    • Noor, A.K.1    Burton, W.S.2
  • 26
    • 0025252690 scopus 로고
    • Assessment of computational models for multilayered anisotropic plates
    • Noor A.K. Burton W.S. Assessment of computational models for multilayered anisotropic plates Compos. Struct. 14 1990 233-265
    • (1990) Compos. Struct. , vol.14 , pp. 233-265
    • Noor, A.K.1    Burton, W.S.2
  • 27
    • 0025595353 scopus 로고
    • An exact solution for the statics and dynamics of laminated thick plates with orthotropic layers
    • Fan J.R. Ye J.Q. An exact solution for the statics and dynamics of laminated thick plates with orthotropic layers Int. J. Solids Struct. 26 1990 655-662
    • (1990) Int. J. Solids Struct. , vol.26 , pp. 655-662
    • Fan, J.R.1    Ye, J.Q.2
  • 28
    • 0026419663 scopus 로고
    • Resonant failure analysis of general composite laminates by using a mixed finite element method
    • Chen W.H. Jiang W.W. Resonant failure analysis of general composite laminates by using a mixed finite element method J. Sound Vibr. 146 1991 479-490
    • (1991) J. Sound Vibr. , vol.146 , pp. 479-490
    • Chen, W.H.1    Jiang, W.W.2
  • 29
    • 0030837244 scopus 로고    scopus 로고
    • A three-dimensional free vibration analysis of cross-ply laminated rectangular plates with clamped edges
    • Ye J.Q. A three-dimensional free vibration analysis of cross-ply laminated rectangular plates with clamped edges Comp. Meth. Appl. Mech. Eng. 140 1997 383-392
    • (1997) Comp. Meth. Appl. Mech. Eng. , vol.140 , pp. 383-392
    • Ye, J.Q.1
  • 30
    • 0034557414 scopus 로고    scopus 로고
    • Static analysis of thick rectangular laminated plates: Three-dimensional elasticity solutions via differential quadrature element method
    • Liu F.L. Static analysis of thick rectangular laminated plates: three-dimensional elasticity solutions via differential quadrature element method Int. J. Solids Struct. 37 2000 7671-7688
    • (2000) Int. J. Solids Struct. , vol.37 , pp. 7671-7688
    • Liu, F.L.1
  • 31
    • 0036797566 scopus 로고    scopus 로고
    • Asymptotic construction of Reissner-like composite plate theory with accurate strain recovery
    • Yu W.B. Hodges D.H. Volovoi V.V. Asymptotic construction of Reissner-like composite plate theory with accurate strain recovery Int. J. Solids Struct. 39 2002 5185-5203
    • (2002) Int. J. Solids Struct. , vol.39 , pp. 5185-5203
    • Yu, W.B.1    Hodges, D.H.2    Volovoi, V.V.3
  • 32
    • 0001581047 scopus 로고
    • Differential quadrature and long-term integration
    • Bellman R. Casti J. Differential quadrature and long-term integration J. Math. Anal. Appl. 34 1971 235-238
    • (1971) J. Math. Anal. Appl. , vol.34 , pp. 235-238
    • Bellman, R.1    Casti, J.2
  • 33
    • 0002800312 scopus 로고
    • Differential quadrature: A technique for the rapid solution of non-linear partial differential equations
    • Bellman R. Kashef B.G. Casti J. Differential quadrature: A technique for the rapid solution of non-linear partial differential equations J. Comput. Phys. 10 1972 40-52
    • (1972) J. Comput. Phys. , vol.10 , pp. 40-52
    • Bellman, R.1    Kashef, B.G.2    Casti, J.3
  • 34
    • 0000150756 scopus 로고
    • Nonlinear bending analysis of orthotropic rectangular plates by the method of differential quadrature
    • Bert C.W. Jang S.K. Striz A.G. Nonlinear bending analysis of orthotropic rectangular plates by the method of differential quadrature Comput. Mech. 5 1989 217-226
    • (1989) Comput. Mech. , vol.5 , pp. 217-226
    • Bert, C.W.1    Jang, S.K.2    Striz, A.G.3
  • 35
    • 0027974451 scopus 로고
    • Differential quadrature solutions for steady-state incompressible and compressible lubrication problems
    • Malik M. Bert C.W. Differential quadrature solutions for steady-state incompressible and compressible lubrication problems ASME J. Tribol. 116 1994 296-302
    • (1994) ASME J. Tribol. , vol.116 , pp. 296-302
    • Malik, M.1    Bert, C.W.2
  • 36
    • 0029255481 scopus 로고
    • A comparative study of differential quadrature and cubature methods vis-à-vis some conventional techniques in context of convection-diffusion-reaction problems
    • Malik M. Civan F. A comparative study of differential quadrature and cubature methods vis-à-vis some conventional techniques in context of convection-diffusion-reaction problems Chem. Eng. Sci. 50 1995 531-547
    • (1995) Chem. Eng. Sci. , vol.50 , pp. 531-547
    • Malik, M.1    Civan, F.2
  • 37
    • 0030887072 scopus 로고    scopus 로고
    • Transient analysis of gas-lubricated journal bearing systems by differential quadrature
    • Bert C.W. Malik M. Transient analysis of gas-lubricated journal bearing systems by differential quadrature ASME J. Tribol. 119 1997 91-99
    • (1997) ASME J. Tribol. , vol.119 , pp. 91-99
    • Bert, C.W.1    Malik, M.2
  • 38
    • 0029724421 scopus 로고    scopus 로고
    • Differential quadrature method in computational mechanics: A review
    • Bert C.W. Malik M. Differential quadrature method in computational mechanics: A review Appl. Mech. Rev. 49 1996 1-28
    • (1996) Appl. Mech. Rev. , vol.49 , pp. 1-28
    • Bert, C.W.1    Malik, M.2
  • 39
    • 0041517714 scopus 로고    scopus 로고
    • Elasticity solution for free vibration of laminated beams
    • Chen W.Q. Lv C.F. Bian Z.G. Elasticity solution for free vibration of laminated beams Compos. Struct. 62 2003 75-82
    • (2003) Compos. Struct. , vol.62 , pp. 75-82
    • Chen, W.Q.1    Lv, C.F.2    Bian, Z.G.3
  • 40
    • 0347317892 scopus 로고    scopus 로고
    • Free vibration of generally laminated beams via state-space-based differential quadrature
    • Chen W.Q. Lv C.F. Bian Z.G. Free vibration of generally laminated beams via state-space-based differential quadrature Compos. Struct. 63 2004 417-425
    • (2004) Compos. Struct. , vol.63 , pp. 417-425
    • Chen, W.Q.1    Lv, C.F.2    Bian, Z.G.3
  • 41
    • 2542475350 scopus 로고    scopus 로고
    • On free vibration of cross-ply laminates in cylindrical bending
    • Chen W.Q. Lee K.Y. On free vibration of cross-ply laminates in cylindrical bending J. Sound Vibr. 273 2004 667-676
    • (2004) J. Sound Vibr. , vol.273 , pp. 667-676
    • Chen, W.Q.1    Lee, K.Y.2
  • 42
    • 0001267650 scopus 로고
    • Transfer matrix approach to layered systems
    • Bahar L.Y. Transfer matrix approach to layered systems J. Eng. Mech. 98 1972 1159-1172
    • (1972) J. Eng. Mech. , vol.98 , pp. 1159-1172
    • Bahar, L.Y.1
  • 43
    • 0343826125 scopus 로고    scopus 로고
    • Free vibration of multi-layered spherically isotropic hollow sphere
    • Chen W.Q. Ding H.J. Free vibration of multi-layered spherically isotropic hollow sphere Int. J. Mech. Sci. 43 2001 667-680
    • (2001) Int. J. Mech. Sci. , vol.43 , pp. 667-680
    • Chen, W.Q.1    Ding, H.J.2
  • 44
    • 0026939625 scopus 로고
    • Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations
    • Shu C. Richards B.E. Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations Int. J. Numer. Meth. Fluids 15 1992 791-798
    • (1992) Int. J. Numer. Meth. Fluids , vol.15 , pp. 791-798
    • Shu, C.1    Richards, B.E.2
  • 45
    • 0025749119 scopus 로고
    • Differential quadrature method in the buckling analysis of beams and composite plates
    • Sherbourne A.N. Pandey M.D. Differential quadrature method in the buckling analysis of beams and composite plates Comp. Struct. 40 1991 903-913
    • (1991) Comp. Struct. , vol.40 , pp. 903-913
    • Sherbourne, A.N.1    Pandey, M.D.2


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