1 |
Bellman, R. and Casti, J. (1972), "Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations", J. Comp. Ph., 10(1), 40-52.
DOI
ScienceOn
|
2 |
Reddy, J.N. (1984), Energy and Variational Methods in Applied Mechanics, John Wiley & Sons.
|
3 |
Reissner, E. (1969), "On the equations of non-linear shallow shell theory", Studies Appl. Math., 48, 171-175.
DOI
|
4 |
Gould, P.L. (1999), Analysis of Shells and Plates, Upper Saddle River, Prentice Hall.
|
5 |
Bellman, R. and Casti, J. (1971), "Differential quadrature and long-term integration", Journal Mathematics Analytic Applications, 34, 235-238.
DOI
|
6 |
Jiang, W. and Redekop, D. (2002), "Polar axisymmetric vibration of a hollow toroid using the differential quadrature method", J. Sound Vib., 251(4), 761-765.
DOI
ScienceOn
|
7 |
Artioli, E. and Viola, E. (2003), "On the harmonic elastic analysis of straight-meridian shells of revolution, by means of a G.D.Q. solution technique", Technical Report No. 100, DISTART, University of Bologna, Italy.
|
8 |
Bert, C.W. and Malik, M. (1996), "Differential quadrature method in computational mechanics: a review", Appl. Mech. Rev., 49, 1-27.
DOI
ScienceOn
|
9 |
Shu, C. and Richards, B.E. (1992), "Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations", Int. J. Num. Meth. Fl., 15(3), 791-798.
DOI
|
10 |
Luah, M.H. and Fan, S.C. (1989), "General free vibration analysis of shells of revolution using the spline finite element method", Comput. Struct., 33(5), 1153-1162.
DOI
ScienceOn
|
11 |
Kim, J.G. (1998), "A higher-order harmonic element for shells of revolution based on the modified mixed formulation", Ph.D. Thesis, Dept. of Mechanical Design and Production Engineering, Seoul National University.
|
12 |
Bert, C.W. and Malik, M. (1996), "Free vibration analysis of thin cylindrical shells by the differential quadrature method", Journal of Pressure Vessel Technology, 118, 1-12.
DOI
|
13 |
Ng, T.Y., Hua, L. and Lam, K.Y. (2003), "Generalized differential quadrature for free vibration of rotating composite laminated conical shell with various boundary conditions", Int. J. Mech. Sci., 45, 567-587.
DOI
ScienceOn
|
14 |
Kunieda, H. (1984), "Flexural axisymmetric free vibrations of a spherical dome: exact results and approximate solutions", J. Sound Vib., 92(1), 1-10.
DOI
ScienceOn
|
15 |
Gould, P.L. (1985), Finite Element Analysis of Shells of Revolution, Pitman Advanced Publishing Program.
|
16 |
Wu, T.Y. and Liu, G.R. (2000), "Axisymmetric bending solution of shells of revolution by the generalized differential quadrature rule", Int. J. Pressure Vessel and Piping, 77, 149-157.
DOI
ScienceOn
|
17 |
Lam, K.Y., Li, H. and Hua, L. (1997), "Vibration analysis of a rotating truncated circular conical shell", Int. J. Solids Struct., 34, 2183-2197.
DOI
ScienceOn
|
18 |
Lam, K.Y., Li, H. and Hua, L. (2000), "Generalized differential quadrature for frequency of rotating multilayered conical shell", J. Eng. Mech., 126, 1156-1162.
DOI
ScienceOn
|
19 |
Li, H. and Lam, K.Y. (2001), "Orthotropic influence on frequency characteristics of a rotating composite laminated conical shell by the generalized differential quadrature method", Int. J. Solids Struct., 38, 3995- 4015.
DOI
ScienceOn
|
20 |
Reissner, E. and Wan, F.Y.M. (1967), "On stress strain relations and strain displacement relations of the linear theory of shells", The Folke-Odqvist Volume, 487-500.
|
21 |
Ng, T.Y., Li, H., Lam, K.Y. and Chua, C.F. (2003), "Frequency analysis of rotating conical panels: a generalized differential quadrature approach", J. Appl. Mech., 70, 601-605.
DOI
ScienceOn
|
22 |
Sen, S.K. and Gould, P.L. (1974), "Free vibration of shells of revolution using FEM", J. the Eng. Mech. Div., ASCE, 100, 283-303.
|
23 |
Redekop, D. and Xu, B. (1999), "Vibration analysis of toroidal panels using the differential quadrature method", Thin Walled Structures, 34, 217-231.
DOI
ScienceOn
|