Large-deflection mathematical analysis of rectangular plates

Journal of Engineering Mechanics

Volumn 131, Issue 8, 2005, Pages 809-821

  Wang, Defu ^a   El Sheikh, A I ^a  

^a UNIVERSITY OF DUNDEE   (United Kingdom)

Author keywords

Deflection; Lateral loads; Mathematics; Plates; Theories

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; STRUCTURAL ANALYSIS; STRUCTURAL DESIGN;

LARGE-DEFLECTION MATHEMATICAL ANALYSIS; LATERAL LOADS; LOADING CONDITIONS; RECTANGULAR PLATES; VON KARMAN EQUATIONS;

PLATES (STRUCTURAL COMPONENTS);

DEFLECTION;

EID: 24344447089     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(2005)131:8(809)     Document Type: Article

References (16)

1. ABAQUS standard user's manual - Version 6.2.1. (2004). Hibbitt, Karlsson and Sorensen, Detroit.
2. Ansel, C. Ug., and Saul K. F. (2003). Advanced strength and applied elasticity, 4th Ed. Chap. 13, Prentice-Hall PTR, Upper Saddle River, N.J.
3. Bazaraa, M. S., Sherali, H. D., and Shetty, C. M. (1993). Nonlinear programming theory and algorithms, 2nd Ed., Wiley, Chichester, U.K.
4. Fletcher, R. (1987). Practical methods of optimization, 2nd Ed., J Wiley, Chichester, U.K.
5. Fysltra, D., Lasdon, L., Watson, J., and Waren, A. (1998). "Design and use of the Microsoft Excel Solver." Interfaces, 28(5), 29-55.
6. Lasdon, L. S. (1985). "Nonlinear programming algorithms-applications, software, and comparisons." Numerical optimization 1984, P. T. Boggs, R. H. Byrd, and R. B. Schnabel, eds., SIAM, Philadelphia.
7. Lasdon, L. S., Warren, A. D., and Ratner, M. (1978). "Design and testing of a generalized reduced gradient code for nonlinear programming." ACM Trans. Math. Softw., 4(1), 34-50.
8. Levy, S. (1942a). "Bending of rectangular plates with large deflections." T.N. No. 737, National Advisory Committee for Aeronautics, Washington, D.C.
9. Levy, S. (1942b). "Square plate with clamped edges under normal pressure producing large deflections." T.N. No. 847, National Advisory Committee for Aeronautics, Washington, D.C.
10. Levy, S., Goldenberg, D., and Zibritosky, G. (1944). "Simply supported long rectangular plate under combined axial load and normal pressure." T.N. No. 949, National Advisory Committee for Aeronautics, Washington, D.C.
11. Levy, S., and Greenman, S. (1942). "Bending with large deflection of a clamped rectangular plate with length-width ratio of 1.5 under normal pressure." T.N. No. 853, National Advisory Committee for Aeronautics, Washington, D.C.
12. Ramberg, W., McPherson, A. E., and Levy, S. (1942). "Normal-pressure test of rectangular plates." T.N. No. 849, National Advisory Committee for Aeronautics, Washington.
13. Timoshenko, S., and Woinowsky-krieger, S. (1959). "Large deflections of plates." Theory of plates and shells, McGraw-Hill, Tokyo.
14. Wang, C.-T. (1948). "Nonlinear large-deflection boundary-value problems of rectangular plates." T.N. No. 1425, National Advisory Committee for Aeronautics, Washington, D.C.
15. Wang, D. (2003). "Large deflection analysis of rectangular plates under uniform out-of-plane pressure." MSc thesis, Dept. of Civil Engineering, Univ. of Dundee, Dundee, U.K.
16. Wolley, R. M., Corrick, J. N., and Levy, S. (1946). "Camped long rectangular plate under combined axial load and normal pressure." T.N. No. 1047, National Advisory Committee for Aeronautics, Washington, D.C.