Inverse buckling problem for inhomogeneous columns

International Journal of Solids and Structures

Volumn 38, Issue 3, 2001, Pages 457-464

  Elishakoff, Isaac ^a  

^a Florida Atlantic University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BUCKLING; INVERSE PROBLEMS; PROBLEM SOLVING; STIFFNESS; STRUCTURAL ANALYSIS;

BERNOULLI-EULER COLUMNS; INVERSE BUCKLING PROBLEMS;

COLUMNS (STRUCTURAL);

EID: 0035218204     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(00)00049-4     Document Type: Article

References (10)

1. Chajes, A., 1974. Principles of Structural Stability Theory. Prentice Hall, Englewood Cliffs, p. 106
2. Dinnik, A.N., 1932. Design of column of varying cross-section. Transactions of the ASME, Applied Mechanics
3. Dinnik, A.N., 1955. Prodol’nyi Izgib. Kruchenie (Bending in Presence of Axial Forces. Torsion). Academy of USSR Publishing, pp. 96–130 (in Russian)
4. Duncan, W.J., 1937. Galerkin's method in mechanics and differential equations. ARC, Reports and Memoranda, No. 1738
5. I. Elishakoff O. Rollot New closed-form solutions for buckling of a variable stiffness column by mathematica Journal of Sound and Vibration 224 1999 172 182
6. Euler, L., 1757. Sur la force de collones, Memoires de l'Académie Royale des Sciences et Belles Lettres, Berlin, vol. 13, pp. 252–282 [see also in: Leonhardi Euleri Opera Omnia, Bern, vol. 17, Part 2, pp. 89–118, 1982 (in Latin)]
7. G.M.L. Glawdwell A. Morassi On isosepectral rods, beams and strings Inverse Problems 11 1995 533 554
8. H.P.W. Gottlieb On standard eigenvalues of variable-coefficient heat and rod equations Journal of Applied Mechanics 56 1989 146 148
9. Timoshenko, S.P., Gere, J. M., 1961. Theory of Elastic Stability. McGrawHill, New York
10. Volmir, A.S. (Ed.), 1984. Collection of Problems in Strength of Materials. Nauka Publishers, Moscow, p. 30 (problem 7.34, in Russian)