참고문헌
- Civalek, O. (2006), "An efficient method for free vibration analysis of rotating truncated conical shells", Int. J. Press. Ves. Pip., 83, 1-12
- Civalek, O. (2006a), "Free vibration analysis of composite conical shells using the discrete singular convolution algorithm", Steel Compos. Struct., 6(4), 353-366 https://doi.org/10.12989/scs.2006.6.4.353
- Civalek, O. (2007), "Nonlinear analysis of thin rectangular plates on Winkler-Pasternak elastic foundations by DSC-HDQ methods", Appl. Math. Model., 31, 606-624 https://doi.org/10.1016/j.apm.2005.11.023
- Civalek, O. (2007a), "Numerical analysis of free vibrations of laminated composite conical and cylindrical shells: Discrete singular convolution (DSC) approach", J. Comput. Appl. Math., 205, 251-271 https://doi.org/10.1016/j.cam.2006.05.001
- Civalek, O. (2007b), "Three-dimensional vibration, buckling and bending analyses of thick rectangular plates based on discrete singular convolution method", Int. J. Mech. Sci., 49, 752-765 https://doi.org/10.1016/j.ijmecsci.2006.10.002
- Civalek, O. (2007c), "A parametric study of the free vibration analysis of rotating laminated cylindrical shells using the method of discrete singular convolution", Thin Wall Struct., 45, 692-698 https://doi.org/10.1016/j.tws.2007.05.004
- Civalek, O. (2007d), "Free vibration and buckling analyses of composite plates with straight-sided quadrilateral domain based on DSC approach", Finite Elem. Anal. Des., 43, 1013-1022 https://doi.org/10.1016/j.finel.2007.06.014
- Civalek, O. (2008), "Vibration analysis of conical panels using the method of discrete singular convolution", Commun. Numer. Meth. Eng., 24, 169-181 https://doi.org/10.1002/cnm.961
- Civalek, O. (2007e), "Linear vibration analysis of isotropic conical shells by discrete singular convolution (DSC)", Struct. Eng. Mech., 25(1), 127-130 https://doi.org/10.12989/sem.2007.25.1.127
- Han, J.-B. and Liew, K.M. (1999), "Axisymmetric free vibration of thick annular plates", Int. J. Mech. Sci., 41, 1089-1109 https://doi.org/10.1016/S0020-7403(98)00057-5
- Han, J.-B. and Liew, K.M. (1998), "Analysis of annular Reissner/Mindlin plates using differential quadrature method", Int. J. Mech. Sci., 40(7), 651-661 https://doi.org/10.1016/S0020-7403(97)00087-8
- Hou, Y., Wei, G.W. and Xiang, Y. (2005), "DSC-Ritz method for the free vibration analysis of Mindlin plates", Int. J. Numer. Meth. Eng., 62, 262-288 https://doi.org/10.1002/nme.1186
- Irie, T., Yamada, G. and Takagi, K. (1982), "Natural frequencies of thick annular plates", J. Appl. Mech., 49, 633-638 https://doi.org/10.1115/1.3162539
- Ng, C.H.W., Zhao, Y.B. and Wei, G.W. (2004), "Comparison of discrete singular convolution and generalized differential quadrature for the vibration analysis of rectangular plates", Comput. Meth. Appl. Mech. Eng., 193, 2483-2506 https://doi.org/10.1016/j.cma.2004.01.013
- Leissa, A.W. (1987), "Recent research in plate vibrations: 1981-1985: Part I, classical theory", Shock Vib. Digest, 19(2), 11-18
- Liew, K.M. and Liu, F.-L. (2000), "Differential quadrature method for vibration analysis of shear deformable annular sector plates", J. Sound Vib., 230(2), 335-356 https://doi.org/10.1006/jsvi.1999.2623
- Liew, K.M., Kitipornchai, S. and Xiang, Y. (1995), "Vibration of annular sector Mindlin plates with internal radial line and circumferential arc supports", J. Sound Vib., 183(3), 401-409 https://doi.org/10.1006/jsvi.1995.0262
- Liew, K.M. and Yang, B. (2000), "Elasticity solution for free vibrations of annular plates from three-dimensional analysis", Int. J. Solids Struct., 37, 7689-7702 https://doi.org/10.1016/S0020-7683(99)00306-6
- Liew, K.M. and Lam, K.Y. (1993), "On the use of 2-D orthogonal polynomials in the Rayleigh-Ritz method for flexural vibration of annular sector plates of arbitrary shape", Int. J. Mech. Sci., 35, 129-139 https://doi.org/10.1016/0020-7403(93)90071-2
- Lim, G.T. and Wang, C.M. (2000), "Bending of annular sectorial Mindlin plates using Kirchhoff results", Eur. J. Mech. A/Solids, 19, 1041-1057 https://doi.org/10.1016/S0997-7538(00)01112-8
- Lim, C.W., Li, Z.R., Xiang, Y., Wei, G.W. and Wang, C.M. (2005), "On the missing modes when using the exact frequency relationship between Kirchhoff and Mindlin plates", Adv. Vib. Eng., 4, 221-248
- Lim, C.W., Li, Z.R. and Wei, G.W. (2005a), "DSC-Ritz method for high-mode frequency analysis of thick shallow shells", Int. J. Numer. Meth. Eng., 62, 205-232 https://doi.org/10.1002/nme.1179
- Liu, G.R. and Chen, X.L. (2001), "A mesh free method for static and free vibration analyses of thin plates of complicated shape", J. Sound Vib., 241(5), 839-855
- Liu, T., Kitipornchai, S. and Wang, C.M. (2001), "Bending of linearly tapered annular Mindlin plates", Int. J. Mech. Sci., 43, 265-278 https://doi.org/10.1016/S0020-7403(99)00115-0
- Wan, D.C., Zhou, Y.C. and Wei, G.W. (2002), "Numerical solution of unsteady incompressible flows by the discrete singular convolution", Int. J Numer. Method. Fluids, 38, 789-810 https://doi.org/10.1002/fld.253
- Wang, X. and Wang, Y. (2004), "Re-analysis of free vibration of annular plates by the new version of differential quadrature method", J. Sound Vib., 278(3), 685-689 https://doi.org/10.1016/j.jsv.2003.12.008
- Wang, X., Yang, J. and Xiao, J. (1995), "On free vibration analysis of circular annular plates with non-uniform thickness by the differential quadrature method", J. Sound Vib., 194, 547-551
- Wei, G.W. (1999), "Discrete singular convolution for the solution of the Fokker-Planck equations", J. Chem. Phys., 110, 8930-8942 https://doi.org/10.1063/1.478812
- Wei, G.W. (2000), "Solving quantum eigenvalue problems by discrete singular convolution", J. Phys. B: At. Mol. Opt. Phys., 33, 343-352 https://doi.org/10.1088/0953-4075/33/3/304
- Wei, G.W. (2000a), "Discrete singular convolution for the sine-Gordon equation", Physica D, 137, 247-259 https://doi.org/10.1016/S0167-2789(99)00186-4
- Wei, G.W. (2000b), "Wavelets generated by using discrete singular convolution kernels", J. Phys. A: Math. Gen. 33, 8577-8596 https://doi.org/10.1088/0305-4470/33/47/317
- Wei, G.W. (2001), "A new algorithm for solving some mechanical problems", Comput. Meth. Appl. Mech. Eng., 190, 2017-2030 https://doi.org/10.1016/S0045-7825(00)00219-X
- Wei, G.W. (2001a), "Vibration analysis by discrete singular convolution", J. Sound Vib., 244, 535-553 https://doi.org/10.1006/jsvi.2000.3507
- Wei, G.W. (2001b), "Discrete singular convolution for beam analysis", Eng. Struct., 23, 1045-1053 https://doi.org/10.1016/S0141-0296(01)00016-5
- Wei, G.W., Zhao, Y.B. and Xiang, Y. (2002), "Discrete singular convolution and its application to the analysis of plates with internal supports. Part 1: Theory and algorithm", Int. J. Numer. Meth. Eng., 55, 913-946 https://doi.org/10.1002/nme.526
- Wei, G.W., Zhao, Y.B. and Xiang, Y. (2002a), "A novel approach for the analysis of high-frequency vibrations", J. Sound Vib., 257, 207-246 https://doi.org/10.1006/jsvi.2002.5055
- Wei, G.W., Zhao, Y.B. and Xiang, Y. (2001), "The determination of natural frequencies of rectangular plates with mixed boundary conditions by discrete singular convolution", Int. J. Mech. Sci., 43, 1731-1746 https://doi.org/10.1016/S0020-7403(01)00021-2
- Wei, G.W. and Gu, Y. (2002), "Conjugated filter approach for solving Burger's equation", J. Comput. Appl. Math., 149, 439-456 https://doi.org/10.1016/S0377-0427(02)00488-0
- Wu, T.Y., Wang, Y.Y. and Liu, G.R. (2002), "Free vibration analysis of circular plates using generalized differential quadrature rule", Comput. Meth. Appl. Mech. Eng., 191(46), 5365-5380 https://doi.org/10.1016/S0045-7825(02)00463-2
- Wu, T.Y. and Liu, G.R. (2001), "Free vibration analysis of circular plates with variable thickness by the generalized differential quadrature rule", Int. J. Solids Struct., 38(44-45), 7967-7980 https://doi.org/10.1016/S0020-7683(01)00077-4
- Xiang, Y., Liew, K.M. and Kitipornchai, S. (1993), "Transverse vibration of thick annular sector plates", J. Eng. Mech., ASCE, 93, 1579-1599
- Xiang, Y. and Zhang, L. (2005), "Free vibration analysis of stepped circular Mindlin plates", J. Sound Vib., 280(3-5), 633-655 https://doi.org/10.1016/j.jsv.2003.12.017
- Xiang, Y., Zhao, Y.B. and Wei, G.W. (2002), "Discrete singular convolution and its application to the analysis of plates with internal supports. Part 2: Applications", Int. J Numer. Method. Eng., 55, 947-971 https://doi.org/10.1002/nme.527
- Zhao, Y.B., Wei, G.W. and Xiang, Y. (2002), "Discrete singular convolution for the prediction of high frequency vibration of plates", Int. J. Solids Struct., 39, 65-88 https://doi.org/10.1016/S0020-7683(01)00183-4
- Zhao, Y.B. and Wei G.W. (2002), "DSC analysis of rectangular plates with non-uniform boundary conditions", J. Sound Vib., 255(2), 203-228 https://doi.org/10.1006/jsvi.2001.4150
- Zhao, S., Wei, G.W. and Xiang, Y. (2005), "DSC analysis of free-edged beams by an iteratively matched boundary method", J. Sound Vib., 284, 487-493 https://doi.org/10.1016/j.jsv.2004.08.037
- Zhao, Y.B., Wei, G.W. and Xiang, Y. (2002a), "Plate vibration under irregular internal supports", Int. J. Solids Struct., 39, 1361-1383 https://doi.org/10.1016/S0020-7683(01)00241-4
- Zhou Y.C. and Wei, G.W. (2006), "On the fictitious-domain and interpolation formulations of the matched interface and boundary (MIB) method", J. Comput. Phys., 219, 228-246 https://doi.org/10.1016/j.jcp.2006.03.027
- Zhou, D., Au, F.T.K., Cheung, Y.K. and Lo, S.H. (2003), "Three-dimensional vibration analysis of circular annular plates via the Chebyshev-Ritz method", Int. J. Solids Struct., 40, 3089-3105 https://doi.org/10.1016/S0020-7683(03)00114-8
- Zhou, D., Au, F.T.K., Cheung, Y.K. and Lo, S.H. (2006), "Effect of built-in edges on 3-D vibrational characteristics of thick circular plates", Int. J. Solids Struct., 43(7-8), 1960-1978 https://doi.org/10.1016/j.ijsolstr.2005.05.007
- Zhou, D., Lo, S.H., Au, F.T.K. and Cheung, Y.K. (2006a), "Three-dimensional free vibration of thick circular plates on Pasternak foundation", J. Sound Vib., 292(3-5), 726-741 https://doi.org/10.1016/j.jsv.2005.08.028
피인용 문헌
- Free vibration analysis of symmetric laminated skew plates by discrete singular convolution technique based on first-order shear deformation theory vol.79, pp.3, 2009, https://doi.org/10.1002/nme.2553
- A Review on the Discrete Singular Convolution Algorithm and Its Applications in Structural Mechanics and Engineering vol.27, pp.5, 2008, https://doi.org/10.1007/s11831-019-09365-5
- Blast loaded plates: Simplified analytical nonlinear dynamic approach vol.28, pp.None, 2020, https://doi.org/10.1016/j.istruc.2020.10.043