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Volumn 39, Issue 3-4, 1997, Pages 179-189

Differential quadrature: A powerful new technique for analysis of composite structures

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; LAMINATED COMPOSITES; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; STRUCTURAL ANALYSIS;

EID: 0031279013     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0263-8223(97)00112-8     Document Type: Article
Times cited : (150)

References (43)
  • 1
    • 0001581047 scopus 로고
    • Differential quadrature and long-term integration
    • Bellman, R. and Casti, J., Differential quadrature and long-term integration. J. Math. Anal. Applic. 1971, 34, 235-238.
    • (1971) J. Math. Anal. Applic. , vol.34 , pp. 235-238
    • Bellman, R.1    Casti, J.2
  • 2
    • 0002800312 scopus 로고
    • Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
    • Bellman, R., Kashef, B. G. and Casti, J., Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations. J. Comput. Phys. 1972, 10, 40-52.
    • (1972) J. Comput. Phys. , vol.10 , pp. 40-52
    • Bellman, R.1    Kashef, B.G.2    Casti, J.3
  • 3
    • 0027974451 scopus 로고
    • Differential quadrature solutions for steady-state incompressible and compressible lubrication problems
    • Malik, M. and Bert, C. W., Differential quadrature solutions for steady-state incompressible and compressible lubrication problems. ASME Journal of Tribology 1994, 116, 296-302.
    • (1994) ASME Journal of Tribology , vol.116 , pp. 296-302
    • Malik, M.1    Bert, C.W.2
  • 4
    • 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. and 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. Engng. Sci. 1995, 50, 531-547.
    • (1995) Chem. Engng. Sci. , vol.50 , pp. 531-547
    • Malik, M.1    Civan, F.2
  • 5
    • 0030887072 scopus 로고    scopus 로고
    • Transient analysis of gas-lubricated journal bearing systems by differential quadrature
    • Bert, C. W. and Malik, M., Transient analysis of gas-lubricated journal bearing systems by differential quadrature, ASME J. Trib., 1997, 119, 91-99.
    • (1997) ASME J. Trib. , vol.119 , pp. 91-99
    • Bert, C.W.1    Malik, M.2
  • 6
    • 0029724421 scopus 로고    scopus 로고
    • Differential quadrature method in computational mechanics: A review
    • Bert, C. W. and Malik, M., Differential quadrature method in computational mechanics: A review. Appl. Mech. Rev. 1996, 49, 1-28.
    • (1996) Appl. Mech. Rev. , vol.49 , pp. 1-28
    • Bert, C.W.1    Malik, M.2
  • 7
    • 0024014784 scopus 로고
    • Two new approximate methods for analyzing free vibration of structural components
    • Bert, C. W., Jang, S. K. and Striz, A. G., Two new approximate methods for analyzing free vibration of structural components. AIAA J. 1988, 26, 612-618.
    • (1988) AIAA J. , vol.26 , pp. 612-618
    • Bert, C.W.1    Jang, S.K.2    Striz, A.G.3
  • 8
    • 0024621941 scopus 로고
    • Application of differential quadrature to static analysis of structural components
    • Jang, S. K., Bert, C. W. and Striz, A. G., Application of differential quadrature to static analysis of structural components. Int. J. Numer. Meth. Engng. 1989, 28, 561-577.
    • (1989) Int. J. Numer. Meth. Engng. , vol.28 , pp. 561-577
    • Jang, S.K.1    Bert, C.W.2    Striz, A.G.3
  • 9
    • 85010134310 scopus 로고
    • Shear deformation theories for multilayered composite plates
    • Noor, A. K. and Burton, W. S., Shear deformation theories for multilayered composite plates. Appl. Mech. Rev. 1989, 42, 1-13.
    • (1989) Appl. Mech. Rev. , vol.42 , pp. 1-13
    • Noor, A.K.1    Burton, W.S.2
  • 11
    • 0000150756 scopus 로고
    • Nonlinear bending analysis of orthotropic rectangular plates by the method of differential quadrature
    • Bert, C. W., Jang, S. K. and Striz, A. G., Nonlinear bending analysis of orthotropic rectangular plates by the method of differential quadrature. Comput. Mech. 1989, 5, 217-226.
    • (1989) Comput. Mech. , vol.5 , pp. 217-226
    • Bert, C.W.1    Jang, S.K.2    Striz, A.G.3
  • 12
    • 0026108762 scopus 로고
    • Buckling of anisotropic composite plates under stress gradient
    • Pandey, M. D. and Sherbourne, A. N., Buckling of anisotropic composite plates under stress gradient. J. Engng. Mech. 1991, 117, 260-275.
    • (1991) J. Engng. Mech. , vol.117 , pp. 260-275
    • Pandey, M.D.1    Sherbourne, A.N.2
  • 13
    • 0025749119 scopus 로고
    • Differential quadrature method in the buckling analysis of beams and composite plates
    • Sherbourne, A. N. and Pandey, M. D., Differential quadrature method in the buckling analysis of beams and composite plates. Comp. Struct. 1991, 40, 903-913.
    • (1991) Comp. Struct. , vol.40 , pp. 903-913
    • Sherbourne, A.N.1    Pandey, M.D.2
  • 14
    • 0019913722 scopus 로고
    • Solving the model of isothermal reactors with axial mixing by the differential quadrature method
    • Wang, K.-M., Solving the model of isothermal reactors with axial mixing by the differential quadrature method. Int. J. Numer. Meth. Engng. 1982, 18, 111-118.
    • (1982) Int. J. Numer. Meth. Engng. , vol.18 , pp. 111-118
    • Wang, K.-M.1
  • 15
    • 0024705632 scopus 로고
    • New insights in solving distributed system equations by the quadrature method - I. Analysis
    • Quan, J. R. and Chang, C. T., New insights in solving distributed system equations by the quadrature method - I. Analysis. Comp. Chem. Engng. 1989, 13, 779-788.
    • (1989) Comp. Chem. Engng. , vol.13 , pp. 779-788
    • Quan, J.R.1    Chang, C.T.2
  • 16
    • 0027202868 scopus 로고
    • Differential quadrature for static and free vibration analyses of anisotropic plates
    • Bert, C. W., Wang, X. and Striz, A. G., Differential quadrature for static and free vibration analyses of anisotropic plates. Int. J. Solids Struct. 1993, 30, 1737-1744.
    • (1993) Int. J. Solids Struct. , vol.30 , pp. 1737-1744
    • Bert, C.W.1    Wang, X.2    Striz, A.G.3
  • 17
    • 0014493773 scopus 로고
    • An analogy for certain anisotropic plates
    • Ashton, J. E., An analogy for certain anisotropic plates. J. Compos. Mater. 1969, 3, 355-358.
    • (1969) J. Compos. Mater. , vol.3 , pp. 355-358
    • Ashton, J.E.1
  • 19
    • 0014773401 scopus 로고
    • Anisotropic plate analysis - Boundary conditions
    • Ashton, J. E., Anisotropic plate analysis - boundary conditions. J. Compos. Mater. 1970, 4, 162-171.
    • (1970) J. Compos. Mater. , vol.4 , pp. 162-171
    • Ashton, J.E.1
  • 20
    • 0028381730 scopus 로고
    • Convergence of the DQ method in the analysis of anisotropic plates
    • Bert, C. W., Wang, X. and Striz, A. G., Convergence of the DQ method in the analysis of anisotropic plates. J. Sound Vib. 1994, 170, 140-144.
    • (1994) J. Sound Vib. , vol.170 , pp. 140-144
    • Bert, C.W.1    Wang, X.2    Striz, A.G.3
  • 21
    • 0027907133 scopus 로고
    • Fundamental frequency analysis of single specially orthotropic, generally orthotropic and anisotropic rectangular layered plates by the differential quadrature method
    • Farsa, J., Kukreti, A. R. and Bert, C. W., Fundamental frequency analysis of single specially orthotropic, generally orthotropic and anisotropic rectangular layered plates by the differential quadrature method. Comp. Struct. 1993, 46, 465-477.
    • (1993) Comp. Struct. , vol.46 , pp. 465-477
    • Farsa, J.1    Kukreti, A.R.2    Bert, C.W.3
  • 22
    • 0027626609 scopus 로고
    • Fundamental frequency analysis of rectangular plates by differential quadrature method
    • Farsa, J., Kukreti, A. R. and Bert, C. W., Fundamental frequency analysis of rectangular plates by differential quadrature method. Int. J. Numer. Meth. Engng. 1993, 36, 2341-2356.
    • (1993) Int. J. Numer. Meth. Engng. , vol.36 , pp. 2341-2356
    • Farsa, J.1    Kukreti, A.R.2    Bert, C.W.3
  • 23
    • 84958730751 scopus 로고
    • Differential quadrature analysis of free vibration of symmetric cross-ply laminates with shear deformation and rotatory inertia
    • Malik, M. and Bert, C. W., Differential quadrature analysis of free vibration of symmetric cross-ply laminates with shear deformation and rotatory inertia. Shock Vib. 1995, 2, 321-338.
    • (1995) Shock Vib. , vol.2 , pp. 321-338
    • Malik, M.1    Bert, C.W.2
  • 24
    • 0030164867 scopus 로고    scopus 로고
    • On the relative effects of transverse shear deformation and rotatory inertia on the free vibration of symmetric cross-ply laminated plates
    • Bert, C. W. and Malik, M., On the relative effects of transverse shear deformation and rotatory inertia on the free vibration of symmetric cross-ply laminated plates. J. Sound Vib. 1996, 193, 927-933.
    • (1996) J. Sound Vib. , vol.193 , pp. 927-933
    • Bert, C.W.1    Malik, M.2
  • 25
    • 0030084898 scopus 로고    scopus 로고
    • Free vibration analysis of tapered rectangular plates by the differential quadrature method: A semi-analytical approach
    • Bert, C. W. and Malik, M., Free vibration analysis of tapered rectangular plates by the differential quadrature method: A semi-analytical approach. J. Sound Vib. 1996, 190, 41-63.
    • (1996) J. Sound Vib. , vol.190 , pp. 41-63
    • Bert, C.W.1    Malik, M.2
  • 26
    • 0029732360 scopus 로고    scopus 로고
    • Semianalytical differential quadrature analysis for free vibration of rectangular plates
    • Bert, C. W. and Malik, M., Semianalytical differential quadrature analysis for free vibration of rectangular plates. AIAA J. 1996, 34, 601-606.
    • (1996) AIAA J. , vol.34 , pp. 601-606
    • Bert, C.W.1    Malik, M.2
  • 27
    • 0030192706 scopus 로고    scopus 로고
    • Differential quadrature method for thick symmetric cross-ply laminates with first-order shear flexibility
    • Liew, K. M., Han, J.-B. and Xiao, Z. M., Differential quadrature method for thick symmetric cross-ply laminates with first-order shear flexibility. Int. J. Solids Struct. 1996, 33, 2647-2658.
    • (1996) Int. J. Solids Struct. , vol.33 , pp. 2647-2658
    • Liew, K.M.1    Han, J.-B.2    Xiao, Z.M.3
  • 28
    • 0040336082 scopus 로고
    • On the equations for a Timoshenko beam under initial stress
    • Sun, C. T., On the equations for a Timoshenko beam under initial stress. ASME J. Appl. Mech. 1972, 39, 282-285.
    • (1972) ASME J. Appl. Mech. , vol.39 , pp. 282-285
    • Sun, C.T.1
  • 29
    • 0015601816 scopus 로고
    • Incremental deformations in orthotropic laminated plates under initial stress
    • Sun, C. T., Incremental deformations in orthotropic laminated plates under initial stress. ASME J. Appl. Mech. 1973, 40, 193-200.
    • (1973) ASME J. Appl. Mech. , vol.40 , pp. 193-200
    • Sun, C.T.1
  • 30
    • 0022583069 scopus 로고
    • The vibration and stability of symmetrically-laminated composite rectangular plates subjected to in-plane stresses
    • Dawe, D. J. and Craig, T. J., The vibration and stability of symmetrically-laminated composite rectangular plates subjected to in-plane stresses. Compos. Struct. 1986, 5, 281-307.
    • (1986) Compos. Struct. , vol.5 , pp. 281-307
    • Dawe, D.J.1    Craig, T.J.2
  • 31
    • 0023468305 scopus 로고
    • Curvature effects in the buckling of symmetrically-laminated rectangular plates with transverse shear deformation
    • Whitney, J. M., Curvature effects in the buckling of symmetrically-laminated rectangular plates with transverse shear deformation. Compos. Struct. 1987, 8, 85-103.
    • (1987) Compos. Struct. , vol.8 , pp. 85-103
    • Whitney, J.M.1
  • 32
    • 0031510399 scopus 로고    scopus 로고
    • On the buckling characteristics of symmetrically-laminated cross-ply plates
    • Bert, C. W. and Malik, M., On the buckling characteristics of symmetrically-laminated cross-ply plates. Mech. Compos. Mater. Struct., 1997, 4, 39-67.
    • (1997) Mech. Compos. Mater. Struct. , vol.4 , pp. 39-67
    • Bert, C.W.1    Malik, M.2
  • 33
    • 0016496353 scopus 로고
    • Stability of multilayered composite plates
    • Noor, A. K., Stability of multilayered composite plates. Fibre Sci. Tech. 1975, 8, 81-89.
    • (1975) Fibre Sci. Tech. , vol.8 , pp. 81-89
    • Noor, A.K.1
  • 34
    • 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 Vib. 1988, 126, 447-461.
    • (1988) J. Sound Vib. , vol.126 , pp. 447-461
    • Khdeir, A.A.1
  • 35
    • 0026939625 scopus 로고
    • Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations
    • Shu, C. and Richards, B. E., Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations. Int. J. Numer. Meth. Fluids 1992, 15, 791-798.
    • (1992) Int. J. Numer. Meth. Fluids , vol.15 , pp. 791-798
    • Shu, C.1    Richards, B.E.2
  • 36
    • 0014886850 scopus 로고
    • Shear deformation in heterogeneous anisotropic plates
    • Whitney, J. M. and Pagano, N. J., Shear deformation in heterogeneous anisotropic plates. ASME J. Appl. Mech. 1970, 37, 1031-1036.
    • (1970) ASME J. Appl. Mech. , vol.37 , pp. 1031-1036
    • Whitney, J.M.1    Pagano, N.J.2
  • 37
    • 0014547217 scopus 로고
    • The effect of transverse shear deformation on the bending of laminated plates
    • Whitney, J. M., The effect of transverse shear deformation on the bending of laminated plates. J. Compos. Mater. 1969, 3, 534-547.
    • (1969) J. Compos. Mater. , vol.3 , pp. 534-547
    • Whitney, J.M.1
  • 38
    • 0015097786 scopus 로고
    • On the propagation of flexural waves in an orthotropic laminated plate and its response to an impulsive load
    • Chow, T. S., On the propagation of flexural waves in an orthotropic laminated plate and its response to an impulsive load. J. Compos. Mater. 1971, 5, 306-319.
    • (1971) J. Compos. Mater. , vol.5 , pp. 306-319
    • Chow, T.S.1
  • 39
    • 0015603721 scopus 로고
    • Shear correction factors for orthotropic laminates under static load
    • Whitney, J. M., Shear correction factors for orthotropic laminates under static load. ASME J. Appl. Mech. 1973, 40, 302-307.
    • (1973) ASME J. Appl. Mech. , vol.40 , pp. 302-307
    • Whitney, J.M.1
  • 40
    • 0022440337 scopus 로고
    • Flexural vibrations of symmetrically laminated composite rectangular plates including transverse shear effects
    • Craig, T. J. and Dawe, D. J., Flexural vibrations of symmetrically laminated composite rectangular plates including transverse shear effects. Int. J. Solids Struct. 1986, 22, 155-169.
    • (1986) Int. J. Solids Struct. , vol.22 , pp. 155-169
    • Craig, T.J.1    Dawe, D.J.2
  • 41
    • 0027907140 scopus 로고
    • Vibrations of rectangular Mindlin plates with tapered thickness by the spline strip method
    • Mizusawa, T., Vibrations of rectangular Mindlin plates with tapered thickness by the spline strip method. Comp. Struct. 1993, 46, 1663-1677.
    • (1993) Comp. Struct. , vol.46 , pp. 1663-1677
    • Mizusawa, T.1
  • 42
    • 0015650413 scopus 로고
    • Free vibrations of multilayered composite plates
    • Noor, A. K., Free vibrations of multilayered composite plates. AIAA J. 1973, 11, 1038-1039.
    • (1973) AIAA J. , vol.11 , pp. 1038-1039
    • Noor, A.K.1
  • 43
    • 0022506469 scopus 로고
    • Stability and natural vibration analysis of laminated plates by using a mixed element based on a refined plate theory
    • Putcha, N. S. and Reddy, J. N., Stability and natural vibration analysis of laminated plates by using a mixed element based on a refined plate theory. J. Sound Vib. 1986, 104, 285-300.
    • (1986) J. Sound Vib. , vol.104 , pp. 285-300
    • Putcha, N.S.1    Reddy, J.N.2


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