Shear deformable bending solutions for nonuniform beams and plates with elastic end restraints from classical solutions

Archive of Applied Mechanics

Volumn 68, Issue 5, 1998, Pages 323-333

  Wang, C M ^a   Chen, C C ^b   Kitipornchai, S ^b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

Beams; Exact solution; Plates; Rotationally elastic restraints; Shear deformable bending

Indexed keywords

BEAMS AND GIRDERS; BOUNDARY CONDITIONS; ELASTICITY; LAMINATED COMPOSITES; NUMERICAL METHODS; PLATES (STRUCTURAL COMPONENTS);

ELASTIC END RESTRAINT; EXACT SOLUTIONS;

BENDING (DEFORMATION);

EID: 0032074388     PISSN: 09391533     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004190050168     Document Type: Article

References (10)

1. Wang, C. M.: Timoshenko beam-bending solutions in terms of Elder-Bernoulli solutions. J. Eng. Mech. 121 (1995) 763-765
2. Lim, C. W.; Wang, C. M.; Kitipornchai S.: Timoshenko curved beam bending solutions in terms of Euler-Bernoulli solutions. Arch. Appl. Mech. 67 (1997) 179-190
3. Lueschen, G. G. G.; Bergman, L. A,; McFarland, D. M.: Green functions for uniform Timoshenko beams. J. Sound Vib. 194 (1996) 93-102
4. Lee, K. H.; Wang, C. M.; On the use of deflection components in Timoshenko beam theory. Trans. ASME, J. Appl. Mech. 64 (1997) 1006-1008.
5. Karabalis, D. L.; Beskos, D. E.: Static, dynamic and stability analysis of structures composed of tapered beams. Comput. Struct. 16 (1983) 731-748
6. Boley, B. A.: On the accuracy of the Bernoulli-Euler theory of beams of variable section. Trans. ASME. Ser. E: J. Appl. Mech. 30 (1963) 373-378
7. Shames, I. H.; and Dym, C. L.: Energy and finite element methods in structural mechanics. SI Units Edition, Taylor and Francis, U.S.A. 1989
8. Wolfram, S.: Mathematica - a system for doing mathematics by computer (2nd ed) Addison-Wesley, CA. 1991
9. Char, B. W.; Geggo, K. O.; Gonnet, G. H.; Leong, B.; Monajan, M. B.; Watt, S. M.: First leaves: a tutorial introduction to MAPLE V. Berlin: Springer 1992
10. Reddy, J. N.: Mechanics of laminated composite plates: theory and analysis, Boca Raton, Florida: CRC Press 1997