Buckling loads of columns with constant volume

Journal of Sound and Vibration

Volumn 294, Issue 1-2, 2006, Pages 381-387

  Lee, Byoung Koo ^a   Carr, Athol J ^b   Lee, Tae Eun ^a   Kim, Il Jung ^c  

^a Wonkwang University   (South Korea)

^b UNIVERSITY OF CANTERBURY   (New Zealand)

^c Jeonbuk Science College   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

BUCKLING; DIFFERENCE EQUATIONS; HINGES; NUMERICAL METHODS; STRUCTURAL LOADS;

BUCKLING LOADS; SYSTEM PARAMETERS; TAPERS;

COLUMNS (STRUCTURAL);

EID: 33646518368     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2005.11.004     Document Type: Article

References (14)

1. Gere J.M., and Timoshenko S.P. Mechanics of Materials (1984), Brooks/Cole Engineering Division
2. Haftka R.T., Grudal Z., and Kamat M.P. Elements of Structural Optimization (1990), Kluwer Academic Publisher, Dordrecht
3. Keller J.B. The shape of the strongest column. Archive for Rational Mechanics and Analysis 5 (1960) 275-285
4. Tadjbakhsh I., and Keller J.B. Strongest columns and isoperimetric inequalities for eigenvalues. Journal of Applied Mechanics (ASME) 29 (1962) 159-164
5. Taylor J.E. The strongest column-an energy approach. Journal of Applied Mechanics (ASME) 34 (1967) 486-487
6. Keller J.B., and Niordson F.I. The tallest column. Journal of Mathematics and Mechanics 16 (1966) 433-446
7. Masur E.F. Optimal structural design under multiple eigenvalue constraints. International Journal of Solids and Structures 20 (1984) 211-231
8. Wilson J.F., Holloway D.M., and Biggers S.B. Stability experiments on the strongest columns and circular arches. Experimental Mechanics 11 (1971) 303-308
9. Barnes D.C. The shape of the strongest column is arbitrarily close to the shape of the weakest column. Quarterly of Applied Mathematics 46 (1988) 605-609
10. Cox S.J., and Overton M.I. On the optimal design of columns against buckling. SIAM Journal on Mathematical Analysis 23 (1992) 287-325
11. Atanackovic T.M., and Simic S.S. On the optimal shape of a Pflüger column. European Journal of Mechanics A-Solids 18 (1999) 903-913
12. Lee B.K., and Oh S.J. Elastica and buckling load of simple tapered columns with constant volume. International Journal of Solids and Structures 37 (2000) 2507-2518
13. Timoshenko S.P., Young D.H., and Weaver Jr. W. Vibration Problems in Engineering (1974), Wiley, New York
14. Lee B.K., Carr A.J., Lee T.E., and Ahn D.S. Elasticas and buckling loads of shear deformable tapered columns. International Journal of Structural Stability and Dynamics 5 3 (2005) 317-335