Analysis of annular Reissner/Mindlin plates using differential quadrature method

International Journal of Mechanical Sciences

Volumn 40, Issue 7, 1998, Pages 651-661

  Han, J B ^a   Liew, K M ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Annular plate; Axisymmetric bending; Differential quadrature method; Reissner Mindlin plate

Indexed keywords

ALGORITHMS; BENDING (DEFORMATION); BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; LINEAR ALGEBRA; LINEAR EQUATIONS; MATHEMATICAL MODELS; PROBLEM SOLVING; SHEAR DEFORMATION; STRUCTURAL ANALYSIS; STRUCTURAL LOADS;

DIFFERENTIAL QUADRATURE METHOD; DISCRETIZATION; FIRST-ORDER REISSNER/MINDLIN PLATE THEORY;

PLATES (STRUCTURAL COMPONENTS);

EID: 0032118774     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7403(97)00087-8     Document Type: Article

References (28)

1. Bellman, R. E. and Casti, J., Differential quadrature and long term integration. Journal of Mathematical Analysis and Applications, 1971, 34, 235-238.
2. Bellman, R. E., Kashef, B. G. and Casti, J., Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations. Journal of Computational Physics, 1972, 10, 40-52.
3. Civan F. and Sliepcevich, C. M., Differential quadrature for multidimensional problems. Journal of Mathematical Analysis and Applications, 1984, 101, 423-443.
4. Quan, J. R. and Chang, C. T., New insights in solving distributed system equations by the quadrature method - I. Analysis. Computers and Chemical Engineering, 1989, 13, 779-788.
5. Quan, J. R. and Chang, C. T., New insights in solving distributed system equations by the quadrature method - II. Numerical experiments. Computers and Chemical Engineering, 1989, 13, 1017-1024.
6. Shu, C. and Richards, B. E., Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations. International Journal for Numerical Methods in Fluids, 1992, 15, 791-798.
7. Mingle, J. O., The method of differential quadrature for transient nonlinear problem. Journal of Mathematical Analysis and Applications, 1977, 60, 559-569.
8. Bert, C. W., Jang, S. K. and Striz, A. G., Two new approximate methods for analyzing free vibration of structural components. AIAA Journal, 1988, 26, 612-618.
9. Striz, A. G., Jang, S. K. and Bert, C. W., Nonlinear bending analysis of thin circular plates by differential quadrature. Thin-Walled Structures, 1988, 6, 51-62.
10. Bert, C. W., Jang, S. K. and Striz, A. G., Nonlinear bending analysis of orthotropic rectangular plates by the method of differential quadrature. Computational Mechanics, 1989, 5, 217-226.
11. Sherbourne, A. N. and Pandey, M. D., Differential quadrature method is in the buckling analysis of beams and composite plates. Computers and Structures, 1991, 40, 903-913.
12. Kukreti, A. R., Farsa, J. and Bert, C. W., Fundamental frequency of tapered plates by differential quadrature. Transactions of ASCE, Journal of Engineering Mechanics 1992, 118, 1221-1237.
13. Gutierrez, R. H., Laura, P. A. A. and Rossi, R. E., The method of differential quadrature and its application to the approximate solution of ocean engineering problems. Ocean Engineering, 1994, 21, 57-66.
14. Wang, X. and Bert, C. W., A new approach in applying differential quadrature to static and free vibrational analyses of beams and plates. Journal of Sound Vibration, 1993, 162, 566-572.
15. Du, H., Lim, M. K. and Lin, R. M., Application of generalized differential quadrature methods to structural problems. International Journal for Numerical Methods in Engineering, 1994, 37, 1881-1896.
16. Lin, R. M., Lim, M. K. and Du, H., Large deflection analysis of plates under thermal loading. Computer Methods in Applied Mechanics and Engineering, 1994, 117, 381-390.
17. Liew, K. M., Han, J.-B., Xiao, Z. M. and Du, H., Differential quadrature method for Mindlin plates on Winkler foundations. International Journal of Mechanical Sciences, 1996, 38, 405-421.
18. Liew, K. M., Han, J.-B. and Xiao, Z. M., Differential quadrature method for thick symmetric cross-ply laminates with first-order shear flexibility. International Journal of Solids and Structures, 1996, 33, 2647-2658.
19. Liew, K. M. and Han, J.-B., Bending analysis of simply supported shear deformable skew plates. Transactions of ASCE, Journal of Engineering Mechanics, 1997, 123, 214-221.
20. Liew, K. M. and Han, J.-B., A four-node differential quadrature method for straight-sided quadrilateral Reissner/Mindlin plates. Communications in Numerical Methods in Engineering, 1997, 13, 73-81.
21. Han, J.-B. and Liew, K. M., An eight-node curvilinear differential quadrature formulation for Reissner/Mindlin plates. Computer Methods in Applied Mechanics and Engineering, 1997, 141, 265-280.
22. Liew, K. M., Han, J.-B. and Xiao, Z. M., Vibration analysis of circular Mindlin plates using differential quadrature method. Journal of Sound Vibration, 1997, 205, 617-630.
23. Han, J.-B. and Liew, K. M., Numerical differential quadrature for Mindlin plates on two-parameter foundations. International Journal of Mechanical Sciences, 1997, 39, 977-989.
24. Han J.-B. and Liew, K. M., Analysis of moderately thick circular plates using differential quadrature method. Transactions of ASCE, Journal of Engineering Mechanics, 1997, 123, 1247-1252.
25. Mindlin, R. D., Influence of rotatory inertia and shear on flexural motion of isotropic, elastic plates. Transactions of ASME, Journal of Applied Mechanics, 1951, 18, 31-38.
26. Perakatte, G. J. and Lehnhoff, T. F., Flexure of symmetrically loaded circular plates including the effect of transverse shear. Transactions of ASME, Journal of Applied Mechanics, 1971, 38, 1036-1041.
27. Reismann, H., Elastic Plates: Theory and Application. Wiley, New York, 1988.
28. Young, W. C., Roark's Formulas for Stress and Strain. McGraw-Hill, New York, 1989.