Analysis of eccentrically stiffened plates with mixed boundary conditions using differential quadrature method

Applied Mathematical Modelling

Volumn 22, Issue 4-5, 1998, Pages 251-275

  Siddiqi, Zahid A ^a   Kukreti, Anant R ^b  

^a UNIVERSITY OF ENGINEERING AND TECHNOLOGY   (Pakistan)

^b University of Oklahoma   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BEAMS AND GIRDERS; BOUNDARY CONDITIONS; FINITE ELEMENT METHOD; LOADS (FORCES); STIFFNESS;

ECCENTRICALLY STIFFENED PLATES;

PLATES (STRUCTURAL COMPONENTS);

EID: 0032041465     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0307-904X(98)10005-7     Document Type: Article

References (29)

1. R.A. Adel Malek, Design formulas for bridge decks, Master's Thesis presented to North Carolina State University at Raleigh, North Carolina (1969).
2. Bert C.W., Jang S.K., Striz A.G. Nonlinear bending analysis of orthotropic rectangular plates by the method of differential quadrature. Computational Mechanics. 5(2/3):1989;217-226.
3. Björck A., Pereyra V. Solution of the Vandermonde system of equations. Mathematics of Computation. 24:1970;893-903.
4. S.P. Chang, Analysis of eccentrically stiffened plates, Ph.D. Thesis presented to University of Missouri, Columbia (1973).
5. F. Civan, Quadrature and cubature methods for numerical solution of integro-differential equations, in: A.H. Sheikh (eds.), Integral Methods in Science and Engineering - 90, Series in Computational and Physical Processes in Mechanics and Thermal Sciences, Hemisphere, New York, 1991, pp. 282-297.
6. Civan F. Solving multivariable mathematical models by the quadrature and cubature methods. Numerical Methods for Partial Differential Equations. 10:1994;545-567.
7. F. Civan, Numerical simulation by the quadrature and cubature methods, in: SPE Paper No. 28703, Proceedings of the SPE International Petroleum Conference and Exhibition of Mexico, Veracruz, Mexico, 10-13 October 1994, pp. 353-363.
8. Civan F., Sliepcevich C.M. Differential quadrature for multidimensional problems. Journal of Mathematical Analysis and Applications. 101:1984;423-443.
9. F. Civan, C.M. Sliepcevich, Solving integro-differential equations by the quadrature methods, in: F.R. Payne, C.C. Corduneanu, A.H. Sheikh, T. Huang (Eds.), Integral Methods in Science and Engineering, Hemisphere, New York, 1986, pp. 106-113.
10. Deb A., Booton M. Finite element models for stiffened plates under transverse loading. Computers and Structures. 28(3):1988;361-372.
11. Farsa J., Kukreti A.R., Bert C.W. Fundamental frequency analysis of single spacially orthotropic, generally orthotropic and anisotropic rectangular layered plates by differential quadrature method. Computers and Structures. 46(3):1993;465-477.
12. Gangarao H.V.S., Elmeged A.A., Chaudhary V.K. Macroapproach for ribbed and grid plate systems. ASCE Journal of Engineering Mechanics. 101(1):1975;25-39.
13. Harik I.E., Guo M. Finite element analysis of eccentrically stiffened plates in free vibration. Computers and Structures. 49(6):1993;1007-1015.
14. I-DEAS Master Series 1.3c. Structural Dynamics Research Corporation, Milford, Ohio.
15. Jang S.K., Bert C.W., Striz A.G. Application of differential quadrature to static analysis of structural components. International Journal for Numerical Methods in Engineering. 28(3):1989;561-577.
16. Kukreti A.R., Farsa J., Bert C.W. Fundamental frequency of tapered plates by differential quadrature. Journal of Engineering Mechanics. 118(6):1992;1221-1238.
17. Kukreti A.R., Rajapaksa Y. Analysis procedure for ribbed and grid plate systems used for bridge decks. ASCE Journal of Structural Engineering. 116(2):1990;372-391.
18. Kukreti A.R., Siddiqi Z.A. Analysis of fluid storage tanks including foundation-superstructure interaction using differential quadrature method. Journal of Applied Mathematical Modeling. 21:1997;193-205.
19. Lin R.M., Lim M.K., Du H. Deflection of plates with nonlinear boundary supports using generalized differential quadrature. Computers and Structures. 53(4):1994;993-999.
20. M. Malik, Differential quadrature method in computational mechanics: New developments and applications, Ph.D. Dissertation, University of Oklahoma, Norman, USA (1994).
21. M.D. McBean, Analysis of stiffened plates, Ph.D. Thesis presented to Stanford University, California (1968)n.
22. Mukhopadhay M. Stiffened plates in bending. Computers and Structures. 50(4):1994;541-548.
23. Mukhopadhay M. Stiffened plate plane stress elements for the analysis of ships' structures. Computers and Structures. 13:1981;563-573.
24. Palani G.S., Iyer N.R., Appa Rao T.V.S.R. An efficient finite element model for static and vibration analysis of eccentrically stiffened plates/shells. Computers and Structures. 43(4):1992;651-661.
25. Peng-Cheng S., Dade H., Zongmu W. Static, vibration and stability analysis of stiffened plates using B spline functions. Computers and Structures. 27(1):1993;73-78.
26. Rossow M.P., Ibrahimkhail A.K. Constraint method analysis of stiffened plates. Computers and Structures. 8:1978;51-60.
27. Sheikh A.H., Mukhopadhay M. Analysis of stiffened plate with arbitrary planform by the general spline finite strip method. Computers and Structures. 42(1):1992;53-67.
28. Sherbourne A.N., Pandey M.D. Differential quadrature method in the buckling analysis of beams and composite plates. Computers and Structures. 40:1991;903-913.
29. S.P. Timoshenko, S. Woinowsky-Krieger, Theory of Plates and Shells, 2nd ed., McGraw-Hill, New York, 1959.