1 |
Lim, C.W. and Liew, K.M. (1994), 'A pb-2 Ritz formulation for flexural vibration of shallow cylindrical shells of rectangular planform', J. Sound Vib., 173(3), 343-375
DOI
ScienceOn
|
2 |
Liew, K.M. and Lim, C.W. (1995), 'A Ritz vibration analysis of doubly curved rectangular shallow shells using a refilled first-order theory', Comput. Meth. Appl. Mech. Eng., 127, 145-162
DOI
ScienceOn
|
3 |
Liew, K.M., Lim, C.M. and Kitipomchai, S. (1997), 'Vibration of shallow shells: A review with bibliography', Trans. ASME Appl. Meeh. Rev., 50(8), 431-444
DOI
ScienceOn
|
4 |
Liew, K.M. and Lim, C.M. (1996), 'A higher order theory for vibration of doubly curved shallow shells', J. Appl. Mech., 63, 587-593
DOI
ScienceOn
|
5 |
Liew, K.M., Lim, M.K., Lim, C.W., Li, D.B. and Zhang, Y.R. (1995a), 'Effects of initial twist and thickness variation on the vibration behaviour of shallow conical shells', J. Sound Vib., 180(2), 272-296
|
6 |
Liew, K.M., Han, J-B, Xiao, Z.M. and Du, H. (1996), 'Differential quadrature method for Mindlin plates on Winkler foundations', Int. J. Mech. Sci., 38(4), 405-421
DOI
ScienceOn
|
7 |
Liew, K.M., Teo, T.M. and Han, J.B. (2001), 'Three-dimensional static solutions of rectangular plates by variant differential quadrature method', Int. J. Mech. Sci., 43, 1611-1628
DOI
ScienceOn
|
8 |
Liew, K.M. and Lim, C.W. (1995b), 'Vibratory behavior of doubly curved shallow shells of curvilinear planform', J. Eng. Mech., ASCE, 121(2), 1277-1283
DOI
ScienceOn
|
9 |
Markus, S. (1988), The Mechanics of Vibrations of Cylindrical Shells, Elsevier, New York
|
10 |
Nath, Y. and Jain, R.K (1983), 'Nonlinear dynamic analysis of shallow spherical shells on elastic foundation', Int. J. Mech. Sci., 25(6), 409-419
DOI
ScienceOn
|
11 |
Shu, C. and Richards, B.E. (1992), 'Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations', Int. J. Numer. Meth. Fluids, 15, 791-798
DOI
|
12 |
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, 5365-5380
DOI
ScienceOn
|
13 |
Matsunaga, H. (1999), 'Vibration and stability of thick simply supported shallow shells subjected to in-plane stresses', J. Sound Vib., 225(1), 41-60
DOI
ScienceOn
|
14 |
Nath, Y. and Kumar, S. (1995), 'Chebyshev series solution to non-linear boundary value problems in rectangular domain', Comput. Meth. Appl. Mech. Eng., 125, 41-52
DOI
ScienceOn
|
15 |
Nath, Y. and Sandeep, K. (2000), 'Nonlinear analysis of doubly curved shells: An analytical approach', Sadhana, 25(4), 343-352
DOI
|
16 |
Nath, Y., Dumir, P.C. and Gandhi, M.L. (1983), 'Choice of collocation points for axisymmertric nonlinear two point boundary value problems in statics of shallow shells', Engineering Transaction, 31(3), 331-340
|
17 |
Shu, C. and Xue, H. (1997), 'Explicit computations of weighting coefficients in the harmonic differential quadrature', J. Sound Vib., 204(3), 549-555
DOI
ScienceOn
|
18 |
Shu, C. (2000), Differential Quadrature and Its Application in Engineering, Springer, London
|
19 |
Shu, C. (1996), 'Free vibration analysis of composite laminated conical shells by generalized differential quadrature', J. Sound Vib., 194(4), 587-604
DOI
ScienceOn
|
20 |
Soedel, W. (1996), Vibrations of Shells and Plates, Second Edition, Revised and Expanded, Marcal Dekker, Inc., New York
|
21 |
Striz, A.G., Jang, S.K. and Bert, C.W. (1988), ''Nonlinear bending analysis of thin circular plates by differential quadrature', Thin-Walled Structures, 6, 51-62
DOI
ScienceOn
|
22 |
Timoshenko, S. and Woinowski-Krieger, S. (1959), Theory of Plates and Shells, McGraw-Hill, NewYork
|
23 |
Wu, T.Y. and Liu, G.R. (2000), 'Axisymmetric bending solution of shells of revolution by the generalized differential quadrature rule', Int. J. Press. Vessel and Piping, 77, 149-157
DOI
ScienceOn
|
24 |
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, 7967-7980
DOI
ScienceOn
|
25 |
Zienkiewicz, O.C. (1977), The Finite Element Method in Engineering Science. (3rd ed.). London, McGraw-Hill
|
26 |
Bathe, K.J. (1982), Finite Element Procedures in Engineering Analysis, Englewood Cliffs. NJ: Prentice-Hall
|
27 |
Bellman, R., Kashef, B.G. and Casti, J. (1972), 'Differential quadrature: A technique for the rapid solution of nonlinear partial differential equation', J. of Computational Physics, 10, 40-52
DOI
ScienceOn
|
28 |
Bert, C.W. and Malik, M. (1996), 'Differential quadrature method in computational mechanics: A review', Appl. Mech. Rev., 49(1), 1-28
DOI
ScienceOn
|
29 |
Bert, C.W. and Malik, M. (1996), 'Free vibration analysis of thin cylindrical shells by the differential quadrature method', J. Press. Vessel Tech., 118, 1-12
DOI
|
30 |
Celia, M.A. and Gray, W.G. (1992), Numerical Methods for Differential Equations, Fundamental Concepts for Scientific and Engineering Applications. NJ, Prentice Hall
|
31 |
Chia, C.Y. (1980), Nonlinear Analysis of Plates, Mc-Graw Book Co., New York, N.Y.
|
32 |
Civalek, O. (2002), Differential Quadrature (DQ) for Static and Dynamic Analysis of Structures, (in Turkish), Firat University
|
33 |
Civalek, O. (2004), 'Application of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for buckling analysis of thin isotropic plates and elastic columns', Eng. Struct., An Int. J., 26(2), 171-186
DOI
ScienceOn
|
34 |
Civalek, O. and Ulker, M. (2004), 'Harmonic differential quadrature (HDQ) for axisymmetric bending analysis of thin isotropic circular plates', Struct. Eng. Mech., Int. J., 17(1), 1-14
DOI
ScienceOn
|
35 |
Civalek, O. and Ulker, M. (2004), 'Free vibration analysis of elastic beams using harmonic differential quadrature (HDQ)', Mathematical and Computational Applications, 9(2), 257-264
DOI
|
36 |
Civalek, O. and Catal, H.H. (2003), 'Linear static and vibration analysis of circular and annular plates by the harmonic differential quadrature (HDQ) method', J. of Eng. and Arthitecture Faculty of Osmangazi University, 16(1), 45-76
|
37 |
Civalek, O. (2003), 'Linear and nonlinear dynamic response of multi-degree-of freedom-systems by the method of harmonic differential quadrature (HDQ)', PhD. Thesis, Dokuz Eyliil University, Izmir, (in Turkish)
|
38 |
Civalek, O. (1998), Finite Element Analysis of Plates and Shells, Elazig: FIrat University, (in Turkish)
|
39 |
Civalek, O. (2004), 'Geometrically non-linear static and dynamic analysis of plates and shells resting on elastic foundation by the method of polynomial differential quadrature (PDQ)', PhD. Thesis, Firat University, (in Turkish), Elazig
|
40 |
Civalek, O. (2004), 'Geometrically nonlinear dynamic analysis of doubly curved isotropic shells resting on elastic foundation by a combination of HDQ- FD methods', Int. J. ofP ressure Vessels and Piping, (in press)
|
41 |
Civalek, O. (2001), 'Static, dynamic and buckling analysis of elastic bars using differential quadrature', XVI. National Technical Engineering Symposium, Paper No: 5, Ankara: METU
|
42 |
Hua, L. and Lam, K.Y. (2000), 'The generalized differential quadrature method for frequency analysis of a rotating conical shell with initial pressure', Int. J. Numer. Meth. Engng, 48, 1703-1722
DOI
|
43 |
Leissa, A.W., Lee, J.K. and Wang, A.J. (1983), 'Vibration of cantilevered doubly curved shallow shells', Int. J. Solids Struct., 19, 411-424
DOI
ScienceOn
|
44 |
Leissa, A.W., and Kadi, A.S. (1971), 'Curvature effects on shallow shell vibration', J. Sound Vib., 16, 173-187
DOI
ScienceOn
|
45 |
Leissa, A.W. and Nariata, Y. (1984), 'Vibrations of completely free shallow shells of rectangular planform', J. Sound Vib., 96, 207-218
DOI
ScienceOn
|
46 |
Leissa, A.W. (1973), Vibration of Shells, NASA, SP-288
|
47 |
Civalek, O. and Catal, H.H. (2002), 'Dynamic analysis of one and two dimensional structures by the method of generalized differential quadrature', Turkish Bulletin of Engineering, 417, 39-46
|
48 |
Striz, A.G., Wang, X. and Bert, C.W. (1995), 'Harmonic differential quadrature method and applications to analysis of structural components', Acta Mechanica, 111, 85-94
DOI
|
49 |
Liew, K.M., Teo, T.M. and Han, J.B. (1999), 'Comparative accuracy of DQ and HDQ methods for three-dimensional vibration analysis of rectangular plates', Int. J. Numer. Meth. Eng., 45, 1831-1848
DOI
|
50 |
Civalek, O. (2004), 'Differential quadrature methods in vibration analysis', J of Engineer and Machine, Turkish Chamber of Mechanical Eng., 45, 530, 27-36
|
51 |
Nath, Y, Mahrenholtz, O. and Varma, K.K. (1987), 'Nonlinear dynamic response of a doubly curved shallow shell on an elastic foundation', J. Sound Vib., 112(1), 53-61
DOI
ScienceOn
|