New closed-form solutions for buckling of a variable stiffness column by mathematica®

Journal of Sound and Vibration

Volumn 224, Issue 1, 1999, Pages 172-182

  Elishakoff, I ^a   Rollot, O ^b  

^a Florida Atlantic University   (United States)

^b Inst Francais de Mecan Avancee   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001463538     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1998.2143     Document Type: Editorial

References (16)

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2. H. BLEICH 1952 Buckling Strength of Metal Structures. New York: McGraw-Hill; 187-191.
3. A. N. DINNIK 1932 Transactions of the ASME, Applied Mechanics. Design of column of varying cross-sections.
4. A. N. DINNIK 1927 Vestnik Inzhenerov 8, 1929 1-2, 1930 7, 1931 9. About the bending in the presence of axial load, of columns with varying cross-section (in Russian).
5. A. N. DINNIK 1927 Vestnik Inzhenerov 8, 1929 1-2, 1930 7, 1931 9. About the bending in the presence of axial load, of columns with varying cross-section (in Russian).
6. A. N. DINNIK 1927 Vestnik Inzhenerov 8, 1929 1-2, 1930 7, 1931 9. About the bending in the presence of axial load, of columns with varying cross-section (in Russian).
7. A. N. DINNIK 1927 Vestnik Inzhenerov 8, 1929 1-2, 1930 7, 1931 9. About the bending in the presence of axial load, of columns with varying cross-section (in Russian).
8. I. ELISHAKOFF and F. PELLIGRINI 1987 Journal of Sound and Vibration 114, 144-148. Exact and effective approximate solutions of some divergent type non-conservative problems.
9. I. ELISHAKOFF and F. PELLEGRINI 1987 Journal of Sound and Vibration 115, 182-186. Application of Bessel and Lommel functions and undetermined multiplier Galerkin method version for instability of non-uniform column.
10. I. ELISHAKOFF and F. PELLIGRINI 1988 Computer Methods in Applied Mechanics and Engineering 66, 107-119. Exact solution for buckling of some divergence type non-conservative systems in terms of Bessel and Lommel functions.
11. M. EISENBERGER 1991 International Journal of Solids and Structures 27, 135-143. Buckling loads for variable cross-section members with variable axial forces.
12. I. ELISHAKOFF 1998 A First Course in Buckling of Structures. Boca Raton: Florida Atlantic University; Lecture Notes, Department of Mechanical Engineering.
13. W. J. DUNCAN 1937 Aeronautical Research Committee, Reports and Memoranda 1798. Galerkin's method in mechanics and differential equations.
14. S. WOLFRAM 1996 The Mathematica® Book. Cambridge University Press; third edition. See p. 1204.
15. M. L. ABELL and J. P. BRASELTON 1992 The Mathematica® Handbook. New York: Academic Press. See p. 435.
16. S. CANDAN and I. ELISHAKOFF 1999 Closed-form solutions for vibration of deterministically and stochastically inhomogeneous beams (in preparation).