Both static deflection and vibration mode of uniform beam can serve as a buckling mode of a non-uniform column

Journal of Sound and Vibration

Volumn 232, Issue 2, 2000, Pages 477-489

  Elishakoff, I ^a  

^a Florida Atlantic University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BEAMS AND GIRDERS; BOUNDARY CONDITIONS; BUCKLING; COLUMNS (STRUCTURAL); DEFLECTION (STRUCTURES);

BUCKLING EQUATION; CLOSED FORM SOLUTION; MOMENT OF INERTIA; NONUNIFORM COLUMN; STATIC DEFLECTION;

VIBRATIONS (MECHANICAL);

EID: 0033734560     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1999.2758     Document Type: Editorial

References (11)

1. EULER L. Sur la force des colonnes (in French). Memoires de L'Academie des Sciences et Belles-Lettres. 13:1759;252-282.
2. DINNIK A. N. Design of columns of varying cross-sections. Transactions ASME, Applied Mechanics. 51:1929;105-114.
3. DINNIK A. N. Design of columns of varying cross-section. Transactions ASME, Applied Mechanics. 54:1932;165-171.
4. TUCKERMAN L. B. Discussion of A. Dinnik's (1929) paper. Transactions ASME, Applied Mechanics. 51:1929;112.
5. ENGESSER F. Ueber die Knickfestigkeit von Staeben veraenderlichen Traegheitsmomentes (in German). Zeitschrift der Oesterreichischer Ingenieur und Architekten Verein. 34:1909;506-508.
6. Z. GUÉDÉ, I. ELISHAKOFF, Closed-form solutions for inhomogeneous vibrating beam under axially distributed loading (submitted for publication).
7. TIMOSHENKO S. P., GERE J. M. Theory of Elastic Stability. 1961;McGraw-Hill, New York. p. 101.
8. RAO S. S. Mechanical Vibrations. 1995;Addison-Wesley, Reading. p. 527.
9. DINNIK A. N. Selected Works. 1955;Academy of Ukraine Publishing, (in Russian), Kiev.
10. DUNCAN W. J. Galerkin's method in mechanics and differential equations. Aeronautical Research Committee, Reports and Memoranda. 1798:1937.
11. ®. Journal of Sound and Vibration. 224:1999;172-182.