Relationships between Mindlin and Kirchhoff bending solutions for tapered circular and annular plates

Engineering Structures

Volumn 19, Issue 3, 1997, Pages 255-258

  Wang, C M ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Elastic bending; Tapered annular plates; Tapered circular plates

Indexed keywords

BENDING (DEFORMATION); CONVERGENCE OF NUMERICAL METHODS; DEFLECTION (STRUCTURES); SHEAR DEFORMATION; STRESS ANALYSIS; STRUCTURAL ANALYSIS;

KIRCHHOFF BENDING; MINDLIN BENDING;

PLATES (STRUCTURAL COMPONENTS);

EID: 0031098957     PISSN: 01410296     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0141-0296(96)00080-6     Document Type: Article

References (20)

1. Olsson, R. G. 'Biegung kreisförmiger platten von radial veränderlicher dicke', Ing. Arch. 1937, 8, 81-98
2. Conway, H. D. 'The bending of symmetrically loaded circular plates with variable thickness', ASME J. Appl. Mech. 1948, 15, 1-6
3. Conway, H. D. 'Note on the bending of circular plates of variable thickness', ASME J. Appl. Mech. 1949, 16, 209-210
4. Conway, H. D. 'Axially symmetric plates with linearly varying thickness', ASME J. Appl. Mech. 1951, 18, 140-142
5. Conway, H. D. 'Closed form solutions for plates of variable thickness', ASME J. Appl. Mech. 1953, 20, 564-565
6. Favre, H., 'Sur un type de plaque circulaire encastrée d'épaisseur linéairement variable', Bull. Tech. Suisse Romande 1949, 75(18), 225-230 and (19), 237-239
7. Favre, H., 'Sur un type de plaque circulaire encastrée d'épaisseur linéairement variable', Bull. Tech. Suisse Romande 1949, 75(18), 225-230 and (19), 237-239
8. Strock, R. R. and Yu, Y. Y. 'Bending of a uniformly loaded circular disk with a wedge-shaped cross-section', ASME J. Appl. Mech. 1963, 30(2)
9. Markus, G. 'Theorie und Berechnung rotationssymmetrischer Bauwerke', Werner-Verlag, 1967
10. Stanek, F. J. Stress analysis of circular plates and cylindrical shells, Dorrance & Co., Inc. 1970
11. Mindlin, R. D. 'Influence of rotary inertia and shear in flexural motion of isotropic, elastic plates', ASME J. Appl. Mech. 1951, 18, 1031-1036
12. Hong, G. M., Wang, C. M. and Tan, T. J. 'Analytical buckling solutions for thick circular plates with inclusion of inplane prebuckling deformations', Arch. Appl. Mech. 1993, 63, 534-542
13. Xiang, Y., Wang, C. M. and Kitipornchai, S. 'Exact vibration solution for initially stressed Mindlin plates on Pasternak foundation', Int. J. Mech. Sci. 1994, 36, 311-316
14. Wang, C. M., Tan, T. J., Hong, G. M. and Xiang, Y. 'Buckling formula for biaxially loaded rectangular Mindlin plates', Steel Struct. (Singapore Structural Steel Society) 1993, 4, 69-77
15. Wang, C. M., Kitipornchai, S. and Xiang, Y., 'Shear factor for Mindlin plate buckling', Report 147, Civil Engineering Department, University of Queensland, Queensland, Australia, 1994
16. Wang, C. M. 'Natural frequencies formula for simply supported Mindlin plates', ASME J. Vibr. Acoust. 1994, 116, 536-540
17. Wang, C. M. 'Allowance for prebuckling deformations in buckling load relationship between Mindlin and Kirchhoff simply supported plates of general polygonal shape', Engng Struct. 1995, 17(6), 413-418
18. Irschik, H. 'Membrane-type eigenmotions of Mindlin plates', Acta Mechanica 1985, 55, 1-20
19. Wang, C. M. and Alwis, W. A. M. 'Simply supported polygonal Mindlin plate deflections using Kirchhoff plates', J. Engng Mech. ASCE 1995, 121(12), 1383-1385
20. Wang, C. M. and Lee, K. H. 'Deflection and stress-resultants of axisymmetric Mindlin plates in terms of corresponding Kirchhoff solutions', Int. J. Mech. Sci. 1996, 38(11), 1179-1185