Differential quadrature: a powerful new technique for analysis of composite structures
Tài liệu tham khảo
Bellman, 1971, Differential quadrature and long-term integration, J. Math. Anal. Applic., 34, 235, 10.1016/0022-247X(71)90110-7
Bellman, 1972, Differential quadrature: a technique for the rapid solution of non-linear partial differential equations, J. Comput. Phys., 10, 40, 10.1016/0021-9991(72)90089-7
Malik, 1994, Differential quadrature solutions for steady-state incompressible and compressible lubrication problems, ASME Journal of Tribology, 116, 296, 10.1115/1.2927214
Malik, 1995, 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., 50, 531, 10.1016/0009-2509(94)00223-E
Bert, 1997, Transient analysis of gas-lubricated journal bearing systems by differential quadrature, ASME J. Trib., 119, 91, 10.1115/1.2832489
Bert, 1996, Differential quadrature method in computational mechanics: A review, Appl. Mech. Rev., 49, 1, 10.1115/1.3101882
Bert, 1988, Two new approximate methods for analyzing free vibration of structural components, AIAA J., 26, 612, 10.2514/3.9941
Jang, 1989, Application of differential quadrature to static analysis of structural components, Int. J. Numer. Meth. Engng., 28, 561, 10.1002/nme.1620280306
Noor, 1989, Shear deformation theories for multilayered composite plates, Appl. Mech. Rev., 42, 1, 10.1115/1.3152418
1995
Bert, 1989, Nonlinear bending analysis of orthotropic rectangular plates by the method of differential quadrature, Comput. Mech., 5, 217, 10.1007/BF01046487
Pandey, 1991, Buckling of anisotropic composite plates under stress gradient, J. Engng. Mech., 117, 260, 10.1061/(ASCE)0733-9399(1991)117:2(260)
Sherbourne, 1991, Differential quadrature method in the buckling analysis of beams and composite plates, Comp. Struct., 40, 903, 10.1016/0045-7949(91)90320-L
Wang, 1982, Solving the model of isothermal reactors with axial mixing by the differential quadrature method, Int. J. Numer. Meth. Engng., 18, 111, 10.1002/nme.1620180110
Quan, 1989, New insights in solving distributed system equations by the quadrature method — I. Analysis, Comp. Chem. Engng., 13, 779, 10.1016/0098-1354(89)85051-3
Bert, 1993, Differential quadrature for static and free vibration analyses of anisotropic plates, Int. J. Solids Struct., 30, 1737, 10.1016/0020-7683(93)90230-5
Ashton, 1969, An analogy for certain anisotropic plates, J. Compos. Mater., 3, 355, 10.1177/002199836900300212
Whitney, 1987
Ashton, 1970, Anisotropic plate analysis — boundary conditions, J. Compos. Mater., 4, 162, 10.1177/002199837000400201
Bert, 1994, Convergence of the DQ method in the analysis of anisotropic plates, J. Sound Vib., 170, 140, 10.1006/jsvi.1994.1051
Farsa, 1993, Fundamental frequency analysis of single specially orthotropic, generally orthotropic and anisotropic rectangular layered plates by the differential quadrature method, Comp. Struct., 46, 465, 10.1016/0045-7949(93)90216-Z
Farsa, 1993, Fundamental frequency analysis of rectangular plates by differential quadrature method, Int. J. Numer. Meth. Engng, 36, 2341, 10.1002/nme.1620361403
Malik, 1995, Differential quadrature analysis of free vibration of symmetric cross-ply laminates with shear deformation and rotatory inertia, Shock Vib., 2, 321, 10.1155/1995/703928
Bert, 1996, On the relative effects of transverse shear deformation and rotatory inertia on the free vibration of symmetric cross-ply laminated plates, J. Sound Vib., 193, 927
Bert, 1996, Free vibration analysis of tapered rectangular plates by the differential quadrature method: A semi-analytical approach, J. Sound Vib., 190, 41, 10.1006/jsvi.1996.0046
Bert, 1996, Semianalytical differential quadrature analysis for free vibration of rectangular plates, AIAA J., 34, 601, 10.2514/3.13110
Liew, 1996, Differential quadrature method for thick symmetric cross-ply laminates with first-order shear flexibility, Int. J. Solids Struct., 33, 2647, 10.1016/0020-7683(95)00174-3
Sun, 1972, On the equations for a Timoshenko beam under initial stress, ASME J. Appl. Mech., 39, 282, 10.1115/1.3422632
Sun, 1973, Incremental deformations in orthotropic laminated plates under initial stress, ASME J. Appl. Mech., 40, 193, 10.1115/1.3422924
Dawe, 1986, The vibration and stability of symmetrically-laminated composite rectangular plates subjected to in-plane stresses, Compos. Struct., 5, 281, 10.1016/0263-8223(86)90038-3
Whitney, 1987, Curvature effects in the buckling of symmetrically-laminated rectangular plates with transverse shear deformation, Compos. Struct., 8, 85, 10.1016/0263-8223(87)90006-7
Bert, 1997, On the buckling characteristics of symmetrically-laminated cross-ply plates, Mech. Compos. Mater. Struct., 4, 39, 10.1080/10759419708945874
Noor, 1975, Stability of multilayered composite plates, Fibre Sci. Tech., 8, 81, 10.1016/0015-0568(75)90005-6
Khdeir, 1988, Free vibration and buckling of symmetric cross-ply laminated plates by an exact method, J. Sound Vib., 126, 447, 10.1016/0022-460X(88)90223-4
Shu, 1992, Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations, Int. J. Numer. Meth. Fluids, 15, 791, 10.1002/fld.1650150704
Whitney, 1970, Shear deformation in heterogeneous anisotropic plates, ASME J. Appl. Mech., 37, 1031, 10.1115/1.3408654
Whitney, 1969, The effect of transverse shear deformation on the bending of laminated plates, J. Compos. Mater., 3, 534, 10.1177/002199836900300316
Chow, 1971, On the propagation of flexural waves in an orthotropic laminated plate and its response to an impulsive load, J. Compos. Mater., 5, 306, 10.1177/002199837100500302
Whitney, 1973, Shear correction factors for orthotropic laminates under static load, ASME J. Appl. Mech., 40, 302, 10.1115/1.3422950
Craig, 1986, Flexural vibrations of symmetrically laminated composite rectangular plates including transverse shear effects, Int. J. Solids Struct., 22, 155, 10.1016/0020-7683(86)90005-3
Mizusawa, 1993, Vibrations of rectangular Mindlin plates with tapered thickness by the spline strip method, Comp. Struct., 46, 1663
Noor, 1973, Free vibrations of multilayered composite plates, AIAA J., 11, 1038, 10.2514/3.6868
Putcha, 1986, Stability and natural vibration analysis of laminated plates by using a mixed element based on a refined plate theory, J. Sound Vib., 104, 285, 10.1016/0022-460X(86)90269-5