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Volumn 333, Issue 1, 2014, Pages 200-227

Layer-wise dynamic stiffness solution for free vibration analysis of laminated composite plates

Author keywords

[No Author keywords available]

Indexed keywords

BENCHMARK SOLUTIONS; CARRERA UNIFIED FORMULATIONS; DISPLACEMENT FORMULATION; DYNAMIC STIFFNESS MATRIX; DYNAMIC STIFFNESS METHOD; FREE-VIBRATION ANALYSIS; LAMINATED COMPOSITE PLATES; SYSTEM OF DIFFERENTIAL EQUATIONS;

EID: 84886722394     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2013.08.031     Document Type: Article
Times cited : (59)

References (58)
  • 2
    • 85162732170 scopus 로고
    • On the theory of bending of elastic plates
    • E. Reissner On the theory of bending of elastic plates Journal of Mathematical Physics 23 4 1944 184 191
    • (1944) Journal of Mathematical Physics , vol.23 , Issue.4 , pp. 184-191
    • Reissner, E.1
  • 3
    • 84973010670 scopus 로고
    • Influence of rotatory inertia and shear on flexural vibrations of isotropic, elastic plates
    • R.D. Mindlin Influence of rotatory inertia and shear on flexural vibrations of isotropic, elastic plates Journal of Applied Mechanics 18 1951 1031 1036
    • (1951) Journal of Applied Mechanics , vol.18 , pp. 1031-1036
    • Mindlin, R.D.1
  • 4
    • 0021857259 scopus 로고
    • Stability and vibration of isotropic, orthotropic and laminated plates according to a higher-order shear deformation theory
    • J.N. Reddy, and N.D. Phan Stability and vibration of isotropic, orthotropic and laminated plates according to a higher-order shear deformation theory Journal of Sound and Vibrations 98 2 1985 157 170
    • (1985) Journal of Sound and Vibrations , vol.98 , Issue.2 , pp. 157-170
    • Reddy, J.N.1    Phan, N.D.2
  • 5
    • 0031084147 scopus 로고    scopus 로고
    • Cz 0 requirements - Models for the two dimensional analysis of multilayered structures
    • E. Carrera cz 0 requirements - models for the two dimensional analysis of multilayered structures Composite Structures 37 3-4 1997 373 383
    • (1997) Composite Structures , vol.37 , Issue.34 , pp. 373-383
    • Carrera, E.1
  • 6
    • 0014728757 scopus 로고
    • Exact solution for bidirectional composites and sandwich plates
    • N.J. Pagano, Exact solution for bidirectional composites and sandwich plates, Journal of Composite Materials 4 (1970) 20-34.
    • (1970) Journal of Composite Materials , vol.4 , pp. 20-34
    • Pagano, N.J.1
  • 7
    • 0022785323 scopus 로고
    • Laminated composite plate theory with improved in-plane responses
    • H. Murakami Laminated composite plate theory with improved in-plane responses Journal of Applied Mechanics, Transactions ASME 53 3 1986 661 666
    • (1986) Journal of Applied Mechanics, Transactions ASME , vol.53 , Issue.3 , pp. 661-666
    • Murakami, H.1
  • 9
    • 77957891488 scopus 로고    scopus 로고
    • A consistent refinement of first-order shear deformation theory for laminated composite and sandwich plates using improved zigzag kinematics
    • A. Tessler, M. Di Sciuva, and M. Gherlone A consistent refinement of first-order shear deformation theory for laminated composite and sandwich plates using improved zigzag kinematics Journal of Mechanics of Materials and Structures 5 2 2010 341 367
    • (2010) Journal of Mechanics of Materials and Structures , vol.5 , Issue.2 , pp. 341-367
    • Tessler, A.1    Di Sciuva, M.2    Gherlone, M.3
  • 10
    • 77955330874 scopus 로고    scopus 로고
    • An enhanced single-layer variational formulation for the effect of transverse shear on laminated orthotropic plates
    • E. Cosentino, and P. Weaver An enhanced single-layer variational formulation for the effect of transverse shear on laminated orthotropic plates European Journal of Mechanics, A/Solids 29 4 2010 567 590
    • (2010) European Journal of Mechanics, A/Solids , vol.29 , Issue.4 , pp. 567-590
    • Cosentino, E.1    Weaver, P.2
  • 11
    • 0000691622 scopus 로고
    • A refined analysis of composite laminates
    • E. Srinivas A refined analysis of composite laminates Journal of Sound and Vibration 30 1973 495 507
    • (1973) Journal of Sound and Vibration , vol.30 , pp. 495-507
    • Srinivas, E.1
  • 12
    • 34249905460 scopus 로고    scopus 로고
    • Classical and mixed finite elements for static and dynamic analysis of piezoelectric plates
    • E. Carrera, and M. Boscolo Classical and mixed finite elements for static and dynamic analysis of piezoelectric plates International Journal for Numerical Methods in Engineering 70 2007 1135 1181
    • (2007) International Journal for Numerical Methods in Engineering , vol.70 , pp. 1135-1181
    • Carrera, E.1    Boscolo, M.2
  • 13
    • 0032155574 scopus 로고    scopus 로고
    • Mixed layer-wise models for multilayered plates analysis
    • E. Carrera Mixed layer-wise models for multilayered plates analysis Composite Structures 43 1 1998 57 70
    • (1998) Composite Structures , vol.43 , Issue.1 , pp. 57-70
    • Carrera, E.1
  • 14
    • 0037144335 scopus 로고    scopus 로고
    • Classical and advanced multilayered plate elements based upon pvd and rmvt. Part 1 derivation of finite element matrices
    • E. Carrera, and L. Demasi Classical and advanced multilayered plate elements based upon pvd and rmvt. Part 1 derivation of finite element matrices International Journal for Numerical Methods in Engineering 55 2 2002 191 231
    • (2002) International Journal for Numerical Methods in Engineering , vol.55 , Issue.2 , pp. 191-231
    • Carrera, E.1    Demasi, L.2
  • 15
    • 0037200879 scopus 로고    scopus 로고
    • Classical and advanced multilayered plate elements based upon pvd and rmvt. Part 2 numerical implementations
    • E. Carrera, and L. Demasi Classical and advanced multilayered plate elements based upon pvd and rmvt. Part 2 numerical implementations International Journal for Numerical Methods in Engineering 55 3 2002 253 291
    • (2002) International Journal for Numerical Methods in Engineering , vol.55 , Issue.3 , pp. 253-291
    • Carrera, E.1    Demasi, L.2
  • 16
    • 38149049297 scopus 로고    scopus 로고
    • Hierarchic multilayered plate elements for coupled multifield problems of piezoelectric adaptive structures formulation and numerical assessment
    • E. Carrera, M. Boscolo, and A. Robaldo Hierarchic multilayered plate elements for coupled multifield problems of piezoelectric adaptive structures formulation and numerical assessment Archives of Computational Methods in Engineering 14 2007 383 430
    • (2007) Archives of Computational Methods in Engineering , vol.14 , pp. 383-430
    • Carrera, E.1    Boscolo, M.2    Robaldo, A.3
  • 17
    • 64349105091 scopus 로고    scopus 로고
    • A survey with numerical assessment of classical and refined theories for the analysis of sandwich plates
    • E. Carrera, and S. Brischetto A survey with numerical assessment of classical and refined theories for the analysis of sandwich plates ASME Applied Mechanics Reviews 62 1 2009 1 17
    • (2009) ASME Applied Mechanics Reviews , vol.62 , Issue.1 , pp. 1-17
    • Carrera, E.1    Brischetto, S.2
  • 18
    • 0001302897 scopus 로고    scopus 로고
    • Layer-wise mixed models for accurate vibration analysis of multilayered plates
    • E. Carrera Layer-wise mixed models for accurate vibration analysis of multilayered plates Journal of Applied Mechanics, Transactions ASME 65 4 1998 820 827
    • (1998) Journal of Applied Mechanics, Transactions ASME , vol.65 , Issue.4 , pp. 820-827
    • Carrera, E.1
  • 19
    • 0000089147 scopus 로고    scopus 로고
    • A study of transverse normal stress effect on vibration of multilayered plates and shells
    • E. Carrera A study of transverse normal stress effect on vibration of multilayered plates and shells Journal of Sound and Vibrations 225 5 1999 803 829
    • (1999) Journal of Sound and Vibrations , vol.225 , Issue.5 , pp. 803-829
    • Carrera, E.1
  • 22
    • 0142179994 scopus 로고    scopus 로고
    • Theories and finite elements for multilayered plates and shells a unified compact formulation with numerical assessment and benchmarking
    • E. Carrera Theories and finite elements for multilayered plates and shells a unified compact formulation with numerical assessment and benchmarking Archives of Computational Methods in Engineering 10 3 2003 1 81
    • (2003) Archives of Computational Methods in Engineering , vol.10 , Issue.3 , pp. 1-81
    • Carrera, E.1
  • 23
    • 0036346225 scopus 로고    scopus 로고
    • Theories and finite elements for multilayered, anisotropic, composite plates and shells
    • E. Carrera Theories and finite elements for multilayered, anisotropic, composite plates and shells Archives of Computational Methods in Engineering 9 2 2002 87 140
    • (2002) Archives of Computational Methods in Engineering , vol.9 , Issue.2 , pp. 87-140
    • Carrera, E.1
  • 24
    • 0031120223 scopus 로고    scopus 로고
    • Dynamic stiffness formulation for structural elements a general approach
    • J.R. Banerjee Dynamic stiffness formulation for structural elements a general approach Computers and Structures 63 1 1997 101 103
    • (1997) Computers and Structures , vol.63 , Issue.1 , pp. 101-103
    • Banerjee, J.R.1
  • 26
    • 0035964266 scopus 로고    scopus 로고
    • Free vibration analysis of a twisted beam using the dynamic stiffness method
    • J.R. Banerjee Free vibration analysis of a twisted beam using the dynamic stiffness method International Journal of Solids and Structures 38 38-39 2001 6703 6722
    • (2001) International Journal of Solids and Structures , vol.38 , Issue.3839 , pp. 6703-6722
    • Banerjee, J.R.1
  • 27
    • 0038790293 scopus 로고    scopus 로고
    • Free vibration of sandwich beams using the dynamic stiffness method
    • J.R. Banerjee Free vibration of sandwich beams using the dynamic stiffness method Computers and Structures 81 18-19 2003 1915 1922
    • (2003) Computers and Structures , vol.81 , Issue.1819 , pp. 1915-1922
    • Banerjee, J.R.1
  • 28
    • 1642565403 scopus 로고    scopus 로고
    • Development of an exact dynamic stiffness matrix for free vibration analysis of a twisted Timoshenko beam
    • J.R. Banerjee Development of an exact dynamic stiffness matrix for free vibration analysis of a twisted Timoshenko beam Journal of Sound and Vibration 270 1-2 2004 379 401
    • (2004) Journal of Sound and Vibration , vol.270 , Issue.12 , pp. 379-401
    • Banerjee, J.R.1
  • 29
    • 33748799435 scopus 로고    scopus 로고
    • Free vibration of rotating tapered beams using the dynamic stiffness method
    • J.R. Banerjee, H. Su, and D.R. Jackson Free vibration of rotating tapered beams using the dynamic stiffness method Journal of Sound and Vibration 298 4-5 2006 1034 1054
    • (2006) Journal of Sound and Vibration , vol.298 , Issue.45 , pp. 1034-1054
    • Banerjee, J.R.1    Su, H.2    Jackson, D.R.3
  • 31
    • 0000966358 scopus 로고
    • An automatic computational procedure for calculating natural frequencies of skeletal structures
    • F.W. Williams, and W.H. Wittrick An automatic computational procedure for calculating natural frequencies of skeletal structures International Journal of Mechanical Sciences 12 9 1970 781 791
    • (1970) International Journal of Mechanical Sciences , vol.12 , Issue.9 , pp. 781-791
    • Williams, F.W.1    Wittrick, W.H.2
  • 33
    • 49949126797 scopus 로고
    • General sinusoidal stiffness matrices for buckling and vibration analyses of thin flat-walled structures
    • W.H. Wittrick General sinusoidal stiffness matrices for buckling and vibration analyses of thin flat-walled structures International Journal of Mechanical Sciences 10 1968 949 966
    • (1968) International Journal of Mechanical Sciences , vol.10 , pp. 949-966
    • Wittrick, W.H.1
  • 34
    • 0014627012 scopus 로고
    • Computational procedures for a matrix analysis of the stability and vibration of thin flat-walled structures in compression
    • F.W. Williams, and W.H. Wittrick Computational procedures for a matrix analysis of the stability and vibration of thin flat-walled structures in compression International Journal of Mechanical Sciences 11 12 1969 979 998
    • (1969) International Journal of Mechanical Sciences , vol.11 , Issue.12 , pp. 979-998
    • Williams, F.W.1    Wittrick, W.H.2
  • 35
    • 0016050243 scopus 로고
    • Buckling and vibration of anisotropic or isotropic plate assemblies under combined loadings
    • W.H. Wittrick, and F.W. Williams Buckling and vibration of anisotropic or isotropic plate assemblies under combined loadings International Journal of Mechanical Sciences 16 4 1974 209 239
    • (1974) International Journal of Mechanical Sciences , vol.16 , Issue.4 , pp. 209-239
    • Wittrick, W.H.1    Williams, F.W.2
  • 38
    • 0020908448 scopus 로고
    • Buckling and vibration of any prismatic assembly of shear and compression loaded anisotropic plates with an arbitrary supporting structure
    • M. Anderson, F. Williams, and C. Wright Buckling and vibration of any prismatic assembly of shear and compression loaded anisotropic plates with an arbitrary supporting structure International Journal of Mechanical Sciences 25 8 1983 585 596
    • (1983) International Journal of Mechanical Sciences , vol.25 , Issue.8 , pp. 585-596
    • Anderson, M.1    Williams, F.2    Wright, C.3
  • 39
    • 0021407668 scopus 로고
    • Accurately computed modal densities for panels and cylinders, including corrugations and stiffeners
    • F. Williams, and J. Banerjee Accurately computed modal densities for panels and cylinders, including corrugations and stiffeners Journal of Sound and Vibration 93 4 1984 481 488
    • (1984) Journal of Sound and Vibration , vol.93 , Issue.4 , pp. 481-488
    • Williams, F.1    Banerjee, J.2
  • 40
    • 0026253658 scopus 로고
    • VICONOPT program for exact vibration and buckling analysis or design of prismatic plate assemblies
    • F.W. Williams, D. Kennedy, R. Butler, and M.S. Anderson VICONOPT program for exact vibration and buckling analysis or design of prismatic plate assemblies AIAA Journal 29 1991 1927 1928
    • (1991) AIAA Journal , vol.29 , pp. 1927-1928
    • Williams, F.W.1    Kennedy, D.2    Butler, R.3    Anderson, M.S.4
  • 41
    • 0027682978 scopus 로고
    • Transverse shear deformation in the exact buckling and vibration analysis of composite plate assemblies
    • M. Anderson, and D. Kennedy Transverse shear deformation in the exact buckling and vibration analysis of composite plate assemblies AIAA Journal 31 10 1993 1963 1965
    • (1993) AIAA Journal , vol.31 , Issue.10 , pp. 1963-1965
    • Anderson, M.1    Kennedy, D.2
  • 43
    • 78650955637 scopus 로고    scopus 로고
    • Dynamic stiffness elements and their applications for plates using first order shear deformation theory
    • M. Boscolo, and J.R. Banerjee Dynamic stiffness elements and their applications for plates using first order shear deformation theory Computers and Structures 89 2010 395 410
    • (2010) Computers and Structures , vol.89 , pp. 395-410
    • Boscolo, M.1    Banerjee, J.R.2
  • 44
    • 79953729621 scopus 로고    scopus 로고
    • Dynamic stiffness method for exact inplane free vibration analysis of plates and plate assemblies
    • M. Boscolo, and J.R. Banerjee Dynamic stiffness method for exact inplane free vibration analysis of plates and plate assemblies Journal of Sound and Vibration 330 2011 2928 2936
    • (2011) Journal of Sound and Vibration , vol.330 , pp. 2928-2936
    • Boscolo, M.1    Banerjee, J.R.2
  • 45
    • 84857790317 scopus 로고    scopus 로고
    • Dynamic stiffness formulation for composite Mindlin plates for exact modal analysis of structures. Part i theory
    • M. Boscolo, and J.R. Banerjee Dynamic stiffness formulation for composite Mindlin plates for exact modal analysis of structures. Part I theory Computers and Structures 96-97 2012 61 73
    • (2012) Computers and Structures , vol.96-97 , pp. 61-73
    • Boscolo, M.1    Banerjee, J.R.2
  • 46
    • 84857790317 scopus 로고    scopus 로고
    • Dynamic stiffness formulation for composite Mindlin plates for exact modal analysis of structures. Part II results and applications
    • M. Boscolo, and J.R. Banerjee Dynamic stiffness formulation for composite Mindlin plates for exact modal analysis of structures. Part II results and applications Computers and Structures 96-97 2012 73 84
    • (2012) Computers and Structures , vol.96-97 , pp. 73-84
    • Boscolo, M.1    Banerjee, J.R.2
  • 47
    • 0023385607 scopus 로고
    • BUINVIS-RG exact frame buckling and vibration program, with repetitive geometry and substructuring
    • M.S. Anderson, and F.W. Williams BUINVIS-RG exact frame buckling and vibration program, with repetitive geometry and substructuring Journal of Spacecraft Rockets 24 1987 353 361
    • (1987) Journal of Spacecraft Rockets , vol.24 , pp. 353-361
    • Anderson, M.S.1    Williams, F.W.2
  • 48
  • 49
    • 84870463871 scopus 로고    scopus 로고
    • An exact dynamic stiffness element using a higher order shear deformation theory for free vibration analysis of composite plate assemblies
    • F. Fazzolari, M. Boscolo, and J.R. Banerjee An exact dynamic stiffness element using a higher order shear deformation theory for free vibration analysis of composite plate assemblies Composite Structures 96 2013 262 278
    • (2013) Composite Structures , vol.96 , pp. 262-278
    • Fazzolari, F.1    Boscolo, M.2    Banerjee, J.R.3
  • 51
    • 35148871662 scopus 로고    scopus 로고
    • Analysis of thickness locking in classical, refined and mixed multilayered plate theories
    • E. Carrera, and S. Brischetto Analysis of thickness locking in classical, refined and mixed multilayered plate theories Composite Structures 82 4 2008 549 562
    • (2008) Composite Structures , vol.82 , Issue.4 , pp. 549-562
    • Carrera, E.1    Brischetto, S.2
  • 52
    • 0003758712 scopus 로고
    • Vibration of Plates
    • National Aeronautics and space administration, Washington
    • A.W. Leissa, Vibration of Plates, Technical Report NASA SP-160, National Aeronautics and space administration, Washington, 1969.
    • (1969) Technical Report NASA SP-160
    • Leissa, A.W.1
  • 56
    • 0024775632 scopus 로고
    • Stress and free vibration analyses of multilayered composite plates
    • A. Noor, W. Scott Burton, Stress and free vibration analyses of multilayered composite plates, Composite Structures 11 (1989) 183-204.
    • (1989) Composite Structures , vol.11 , pp. 183-204
    • Noor, A.1    Scott Burton, W.2
  • 57
    • 0033719169 scopus 로고    scopus 로고
    • An assessment of mixed and classical theories on global and local response of multilayered orthotropic plates
    • E. Carrera An assessment of mixed and classical theories on global and local response of multilayered orthotropic plates Composite Structures 50 2000 183 198
    • (2000) Composite Structures , vol.50 , pp. 183-198
    • Carrera, E.1
  • 58
    • 84859488136 scopus 로고    scopus 로고
    • Ritz analysis of vibrating rectangular and skew multilayered based on advanced variable-kinematic models
    • L. Dozio, Ritz analysis of vibrating rectangular and skew multilayered based on advanced variable-kinematic models, Composite Structures 94 (2012) 2118-2128.
    • (2012) Composite Structures , vol.94 , pp. 2118-2128
    • Dozio, L.1


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