1. Kuttler, J.R. and Sigillito, V.G. 'Upper and lower bounds for frequencies of clamped rhombical plates',J. Sound and Vibration, vol. 68, pp. 597-607, 1980.
2. Leissa, A.W. 'Plate vibration research, 1976-1980: classical theory',
The Shock and Vibration Digest, vol. 13, No. 9, pp. 11-22, 1981.
3. Leissa, A.W. 'Advances and trends in plate buckling research',
Research in Structural and Solid Mechanics-1982, NASA CP-2245, 1982.
4. Bauer, H.F. 'Vibration of a parallelogram membrane',
J. Sound and Vibration, Vol. 89, pp. 17-30, 1983.
5. Kim, J. 'B-spline finite element analysis of arbitrary loaded shells of revolution',
Ph.D. Thesis, Cornell University, August 1983.
6. Gottlieb, H.P.W. ' Exact vibration solutions for some irregulary shaped membranes and simply supported plates',
J. Sound and Vibration, vol. 103, pp. 333-339, 1985.
7. Peng-Cheng, S. and Jian-Guo, W. 'Solution of governing differential equations of vibrating cylindrical shells',
Int. J. Numerical Method for Partial Differential Equations, Vol. 2, pp. 173-185, 1986.
8. Tham, L.G., Chan, A.H. and Cheung, Y.K. 'Free vibration and buckling analysis of plates by the negative stiffness method',
Comput. & Struct., Vol. 22, pp. 687-692, 1986.
9. Mukherjee, A. and Mukhopadhyay, M. 'Finite element free flexural vibration analysis of plates having various shapes and varying rigidities',
Comput. & Struct., Vol. 23, pp. 807-812, 1986.
10. Mukherjee, A. and Mukhopadhyay, M. 'A review of dynamic behaviour of stiffened plates',
The Shock and Vibration Digest, Vol. 18, pp. 3-8, 1986.
11. Mukherjee, A. and Mukhopadhyay, M. ' Finite element buckling analysis of stiffened plates',
Department of Naval Architechture, Indian Institute of Technology, Kharagpur, India, Report No. MTS/86/3, 1986.
12. Bhat, R.B. ' Comments on natural frequencies of rectangular plates with free edges',
J. Sound and Vibration, Vol. 111, pp. 171-172, 1986.
13. Lau, S.C.W. and Hancock, G.J. 'Buckling of thin flat-walled structures by a spline finite strip method',
Thin-Walled Structures, Vol. 4, pp. 269-294, 1986.
14. Tawfik, M.S. ' Analysis of pipelines under large soil deformations'
Ph. D. Thesis of Cornell University, 1986.
15. Dawe, D.J. 'The analysis of shear-deformable plates using finite strip elements',
Finite Element Methods for Plate and Shell Structures, Vol. 2, Pineridge Press, London, 1986.
16. Peng-Cheng, S. and Jian-Guo, W. 'Vibration analysis of flat shells by using B-spline functions',
Comput. & Struct.,Vol. 25, pp. 1-10, 1987.
17. Wiseman, D.L., Puckett, J.A. and Chong, K.P. 'Recent developments of the finite strip method',
Dynamics of Structures, ASCE, pp. 292-309, 1987.
18. Cheng, S.P., Dade, H. and Zongmu, W. 'Static, vibration and stability analysis of stiffened plates using B-spline functions',
Comput. & Struct., Vol. 27, pp. 73-78, 1987.
19. Wang, S. and Dawe, D.J. ' The use of spline functions in calculating the natural frequencies of anisotropic rectangular laminates',
Composite Structures 4, vol.1 Analysis and Design Studies(I.H. Marshall ed.), Elsevier Applied Science, pp. 1.447-1.460, 1987.
20. Shen, P.C. and Wang, J.G.: Static analysis of cylindrical shells using B-spline functions.
Comput. Struct., vol. 25(6), pp. 809-816, 1987.
21. Hinton, E. and AL Janabi, B.S. ' Vibrations of plates with concentrated masses and plates with point supports'.
Proc. of the Third Int. Conf. on Recent Advances in Structural Dynamics, Vol. 1, pp. 101-110, 1988.
22. Hinton, E. 'Numerical methods and software for dynamic analysis of plates and shells',
Pineridge Press, London, 1988.
23. Lau, S.C.W.: Distortional buckling of thin-walled columns.
Ph. D. Thesis, Univ. of Sydney, Australia, 1988.
24. Peng-Shen, C. and Wan, J.G. 'A semianalytical method for static analysis of shallow shells'.
Comput. & Struct., vol. 31, pp. 825-831, 1989.
25. Mukhopadhyay, M. 'Vibration and stability analysis of stiffened plates by semi-analytical finite difference method, PartI: Consideration of bending displacements only',
J. Sound and Vibration, vol. 130, pp. 27-39, 1989.
26. Fan, S.C. and Luah, M.H. 'Spline finite element for axisymmetric free vibrations of shells of revolution',
J. Sound and Vibration, vol. 131(1), pp. 61-72, 1989.
27. Luah, M.H. and Fan, S.C. ' General free vibration analysis of shells of revolution using the spline finite element method',
Comput. Struct., vol. 33, pp. 1153-1162, 1989.
28. Chen, C.J., Gutkowski, R.M. and Puckett, J.A.: The unequally spaced cubic B-spline compound strip method.
Research Report 67, Civil Eng. Department, Colorado State University, Fort Collins, Colorado, 1989.
29. Chen, C.J.: The unequally spaced cubic B-spline compound strip method.
Ph. D. Thesis, Colorado State University, Fort Collins, Co. 80523, 1989.
30. Mukhopadhyay, M. and Mukherjee, A. ' Finite element buckling analysis of stiffened plates',
Comput. & Struct., vol. 34, pp. 795-803, 1990.
31. Liew, K.M. and Lam, K.Y. ' Application of two-dimensional orthogonal function to flexural vibration of skew plate
J. Sound and Vibration, vol. 139, pp. 241-252, 1990.
32. Lee, S.-G., Kim, S.-C. and Jung, I.-K. ' Lateral vibration and elastic stability of rectangular plates with cutout',
Proc. of the Int. Conf. on Structural Engineering and Computations, pp. 398-407, Beijing, China, April 25th-28th, 1990.
33. Chang, C.N. and Chiang, F.K. ' Stability analysis of a thick plate with interior cutout'.
AIAA Journal, vol. 28, pp. 1285-1291, 1990.
34. Fan, S.C. and Luah, M.H. ' New spline finite element for analysis of shells of revolution',
Journal of Engineering Mechanics, ASCE, vol. 116, pp.709-725, 1990.
35. Liew, K.M., Lam, K.Y. and Chow, S.T. ' Free vibration analysis of rectangular plates using orthogonal plate function',
Comput. & Struct., vol. 34(1), pp. 79-85, 1990.
36. Chen, C.J., Gutkowski, R.M. and Puckett, J.A.: B-spline compound strip analysis of stiffened plates under transverse loading.
Comput. & Struct., vol. 34(2), pp. 337-347, 1990.
37. Cheng, S.P. and Dade, C.: Dynamic analysis of stiffened plates and shells using spline gauss collocation method.
Comput. & Struct., vol. 36(4), pp. 623-629, 1990.
38. Lee, H.P., Lim, S.P. and Chow, S.T.: Prediction of natural frequencies of rectangular plates with rectangular cutouts.
Comput. & Struct., vol. 36(5), pp. 861-869, 1990.
39. Wang, S. : The use of spline functions in the analysis of composite laminated plates.
Ph. D. Thesis, The University of Birmingham, 1990.
40. Gupta, A., Kiusalaas, J. and Saraph, M.: Cubic B-spline finite element analysis of axisymmetric shells.
Comput. Struct., vol. 38(4), pp. 463-468, 1991.
41. Dade, H.: Analysis of laminated plates and shells by using spline Gauss collocation method.
Comput. Struct., vol. 38(4), pp. 469-473, 1991.
42. Chen, C.J., Gutkowski, R.M. and Puckett, J.A.: Spline compound strip analysis of folded plate structures with intermediate supports.
Comput. Struct., vol. 39(3/4), pp. 369-379, 1991.
43. Shen, P.C. and Kan, H.B.: Multivariable spline element analysis for plate bending problems.
Comput. Struct., vol. 40(6), pp. 1343-1349, 1991.
44. Bardell, N.S. ' Free vibration analysis of a flat plate using the Hierarchical finite element method.
J. Sound and Vibration, vol. 151(2), pp. 263-289, 1991.
45. Liew, K.M. and Law, K.Y.: Vibration analysis of multi-span plates having orthogonal straight edges.
J. Sound and Vibr., Vol. 147(2), pp. 255-264, 1991.
46. Dawe, D.J. and Wang, S. ' Vibration of shear-deformable beams using a spline-function approach',
Int. J. Num. Meth. Eng., vol. 33, pp. 819-844, 1992.
47. Krishnan, A. and Deshpande, J.V.: Vibration of skew laminates.
J. Sound and Vibration, vol. 153(2), pp. 351-358, 1992.
48. Wang, C.M., Liew, K.M. and Alwis, W.A.M.: Buckling of skew plates and corner condition for simply supported edges.
Journal of Engineering Mechanics, ASCE, vol. 118, pp.651-662, 1992.
49. Shen, P.C., He, P.X. and Le, Y.: Vibration analysis of plates using the multivariable spline element method.
Int. J. Solids and Struct., vol. 29(24), pp. 3289-3295, 1992.
50. Bardell, N.S.: The free vibration of skew plates using the Hierarchical finite element method.
Comput. Struct., vol. 45, pp. 841-874, 1992.
51. Shen, P.C., He, P.X. and Su, G.: Stability analysis for plates using the multivariable spline element method.
Comput. Struct., vol. 45, pp. 1073-1077, 1992.
52. Aksu, A. and Felemban, M.B.: Frequency analysis of corner point supported Mindlin plates by a finite difference energy method.
J. Sound and Vibration, vol. 158(3), pp. 531-544, 1992.
53. Liu, W.H and Chen, W.C.: Vibration analysis of skew cantilever plates with stiffeners.
J. Sound and Vibration, vol. 159(1), pp. 1-11, 1992.
54. Liew, K.M. and Wang, C.M.: Vibration analysis of plate by the pb-2 Rayleigh- Ritz method--Mied boundary conditions, reentrant corners, and internal curved supports.
J. Mechanics of Structures and Machines, Vol. 20(3), pp. 281-292, 1992.
55. Sheikh, A.H. : linear and nonlinear analysis of stiffened plates under static and dynamic loading by the spline finite strip method.
Ph. D. thesis, Indian Institute of Technology, Kharagpur, 1992.
J. Sound and Vibration, vol. 162(1), pp. 147-164, 1993. 57. Wang, S. and Dawe, D.J.: Vibration of shear-deformable rectangular plates using a spline-function Rayleigh-Ritz approach.
Int. J. Num. Meth. Eng., vol. 36, pp. 695-711, 1993.
58. Bergman, L.A., Hall, J.K., Lueschen, G.G.G. and McFarland, D.M.: Dynamic Green's functions for Levy plates.
J. Sound and Vibration, vol. 162(2), pp. 281-310, 1993.
59. Kitipornchai, S., Xiang, Y., Wang, C.M. and Liew, K.M.: Buckling of thick skew plates.
Int. J. Num. Meth. Eng., vol. 36, pp. 1299-1310, 1993.
60. Liew, K.M., Hung, K.C. and Lam, K.Y.: On the use of the subtructure method for vibration analysis of rectangular plates with discontinuous boundary conditions.
J. Sound and Vibration, vol. 163(3), pp. 451-462, 1993.
61. Xiang, Y., Liew, K.M. and Kitipornchai, S.: Transverse vibration of thick annular plates.
Journal of Engineering Mechanics, ASCE, vol. 119, pp. 1579-1599, 1993.
62. Dawe, D.J. and Wang, S.: Free vibration of generally-laminated, shear-deformable, composite rectangular plates using a spline Rayleigh-Ritz method.
Composite Structures, Vol. 25, pp. 77-87, 1993.
63. Patlashenko, I. and Weller, T.: Cubic B-spline collocation method for nonlinear static analysis of panels under mechanical and thermal loading.
Comput. Struct., Vol. 49, pp. 89-96, 1993.
64. Liew, K.M., Xiang, Y. and Kitipornchai, S.: Transverse vibration of thick rectangular plates-II inclusion of oblique internal line supports.
Comput. Struct., Vol. 49, pp. 31-58, 1993.
65. Liew, K.M., Hung, K.C. and Lim, M.K.: Method of domain decomposition in vibrations of mixed edge anisotropic plates.
Int. J. Solids and Struct., Vol. 30, pp. 3281-3301, 1993.
66. Liew, K.M. and Wang, C.M.: Vibration studies on skew plates-treatment of internal line supports.
Comput. Struct., Vol. 49, pp. 941-951, 1993.
67. Liew, K.M., Hung, K.C. and Lim, M.K.: Roles of domain decomposition method in plate vibrations: treatment of mixed continuous periphery bpundaries.
Int. J. Mech. Sci., Vol. 35(7), pp. 615-632, 1993.
68. Molaghasemi, H.R. and I.E. Harik: Free vibration and dynamic stiffening of sector plates with radial variation in rigidity.
Journal of Sound and Vibration, Vol. 169(2), pp. 284-288, 1994.
69. Chen, C.J., Liu, W. and Chern, S.M.:Vibration analysis of stiffened plates.
Comput. and Struct., Vol. 50(4), pp. 471-480, 1994.
70. Wang, X., Striz, A.G. and Bert, C.W.: Buckling and vibration analysis of skew plates by the differential quadrature method.
AIAA Journal, Vol. 32(4), pp. 886-889, 1994.
71. Singh, B. and Chakraverty, A.: Flexural vibration of skewplates using boundary characteristic orthogonal polynomials in two variables.
J. Sound Vibr., Vol. 173(2), pp. 157-178, 1994.
72. Vaidyanathan, S., Busby, H.R. and Houser, D.R.: A numerical approach to the static analysis of an annular sector Mindlin plate with applications to bevel gear design.
Comput. Struct., Vol. 51(3), pp. 255-266, 1994.
73. McGee, O.G., Huang, C.S. and Leissa, A.W.: Influence of corner stress sigularities and nonstructural mass on the vibrations of cantilevered skewed trapezoidal plates.
Comput. Struct., vol. 53(3), pp. 667-677, 1994.
74. Xiang, Y., Kitipornchai, S., Liew, K.M. and Wang, C.M.: Flexural vibration of skew Mindlin plates with oblique internal line supports.
J. Sound Vibr., Vol. 178(4), pp. 535-551, 1994.
75. Hung, K.C., Liew, K.M. and Lim, M.K.: A discrete element model for vibration analysis of mixed edges plates.
Finite Elments in Analysis and Design, Vol. 18, pp. 319-328, 1994.
76. McGee, O.G., Graves, W.D. and Butalia, T.S.: Natural frequencies of shear deformable rhombic plates with clamped and simply supported edges.
Int. J. Mech. Sci., Vol. 36(12), pp. 1133-1148, 1994.
77. Fan, S.C. and Luah, M.: Free vibration analysis of arbitrary thin shell structures by using spline finite elemnt.
J. Sound Vibr., Vol. 179(5), pp. 763-776, 1995.
78. Liew, K.M., Xiang, Y. and Kitipornchai, S.: Research on thick plate vibration - a literature survey.
J. Sound and Vibr., Vol. 180(1), pp. 163-176, 1995.
79. Jaunky, N. and Knigh, N.F.: Buckling of arbitrary quadrilateral anisotropic plates.
AIAA Journal, Vol. 33(5), pp. 938-944, 1995.
80. Liew, K.M., Kitipornchai, S. and Xiang, Y.: Vibration of annular sector Mindlin plates with internal radial line and circumferential arc supports.
J. Sound and Vibr., Vol. 183(3), pp. 401-419, 1995.
81. Ju, F., Lee, H.P. and Lee, K.H.: Free vibration of plates with stepped variations in thickness on non-homogeneous elastic foundations.
J. Sound and Vibr., Vol. 183(3), pp. 533-545, 1995.
82. York, C.B. and Williams, F.W.: Buckling analysis of skew plate assemblies- classical plate theory results incorporating Lagrangian multipliers.
Comput. Struct., Vol. 56(4), pp. 625-635, 1995.
83. Patlashenko, I. and Weller, T.: Two-dimensional spline collocation method for nonlinear analysis of laminated panels.
Comput. Struct., Vol. 57(1), pp. 131-139, 1995.
84. Lee, H.P. and Ng, T.Y.: Vibration and criticalspeeds of a spinning annular disk of varying thickness.
J. Sound and Vibr., Vol. 187(1), pp. 39-50, 1995.
85. Dawe, D.J. and Wang, S.: Spline finite strip analysis of the buckling and vibration of rectangular composite laminated plates.
Int. J. Mech. Sci., Vol. 37(6), pp. 645-667, 1995.
86. McGee, O.G., Huang, C.S. and Leissa, A.W.: Comprehensive exact solutions for free vibrations of thick annular sectorial plates with simply supported radial edges.
Int. J. Mech. Sci., Vol. 37(5), pp. 537-566, 1995.
87. Hadid, H.A. and Bashir, M.H.M.: Free vibration of beams and oblique panels by spline-integral method.
J. Sound and Vibr., Vol. 189(1), pp. 3-12, 1996.
88. Bert, C.W. and Malik, M.: Free vibration analysis of tapered rectangular plates by differential quadrature method : A semi-analytical approach.
J. Sound and Vibr., 190(1), pp. 41-63, 1996.
89. York, C.B.: Influence of continuity and aspect-ratio on the buckling of skew plates and plate assemblies.
Int. J. Solids and Struct., Vol. 33, pp. 2133-2159, 1996.
90. Saha, K. and Kar, R.C.:Free vibration analysis of rectangular Mindlin plates with elastic restraints uniformly distributed along the edges. J. Sound and Vibr. 192(4), pp. 885-904, 1996.
91. McGee, O.G., Kim, J.W., Kim, Y.S. and Leissa, A.W.: Corner stress sigularity effects on the vibration of rhombic plates with combinations of clamped and simply supported edges. J. Sound and Vibr., 193(3), pp. 555-580, 1996.
92. Liew, K.M., Xiang, Y. and Kitipornchai, S.: Analytical buckling solutions for Mindlin plates involving free edges. Int. J. Mech. Sci., 38(10), pp. 1127-1138, 1996.
[B] Citation in Journals by Japanese Researchers
1. Fujii, F. 'Spline-Funktionen mit mehrfachen Knoten in der gemischten Platten- rechnung',
Ingenieur-Archiv, vol. 50, pp. 365-375, 1981.
2. Fujii, F. 'Discrete and non-discrete mixed methods for plate bending analysis.
Int. J. Num. Meth. Eng., vol. 17, pp. 1843-1859, 1981.
3. Sakata, T. and Hayashi, T. 'Natural frequencies of clamped orthotropic skew plates',
J. Sound and Vibration, vol. 81, pp. 287-298, 1982.
4. Irie, T., Yamada, G. and Ashida, K. 'Vibrations of cross-shaped, I-shaped and L-shaped membranes and plates',
J. Acoust. Soc. America, vol. 72, pp. 460-465, 1982.
5. Fujii, F. 'Functions spline aus noeuds multiples en analyse numerique des plaques-flexion, flambement et vibration',
Annales de L'Institut technique du batiment et des travaux publics, vol. 403, pp. 91-102, 1982.
6. Fujii, F. and Hoshino, T. 'Discrete and non-discrete mixed method applied to eigenvalue problems of plates',
J. Sound and Vibration, vol. 87, pp. 525-534, 1983.
7. Yamada, G. and Irie, T. ' Plate vibration research in Japan',
Applied Mechanics Reviews, vol. 40(7), pp. 879-892, 1987.
8. Matsuda, H. and Sakiyama, T. 'A discrete method of analyzing the bending vibration of skew Mindlin plate with variable thickness',
J. Sound and Vibration, vol. 127, pp. 179-186, 1988.
9. Kobayashi, H. and Sonoda, K. ' Vibration and buckling of tapered rectangular plates with two opposite edges simply supported and the other two edges elastically restrained against rotation',
J. Sound and vibration, vol. 146, pp. 323-337, 1991.
10. Ohga, M., Takao, H. and Shigematsu, T.: Natural frequencies and modes of open cylindrical shells with a circumferential thickness taper.
J. Sound and vibration, Vol. 183(1), pp. 143-156, 1995.