Optimization of geometry for lateral buckling process of a cantilever beam in the elastic region

Thin-Walled Structures

Volumn 43, Issue 3, 2005, Pages 515-529

  Dražumeric, Radovan ^a   Kosel, Franc ^a  

^a UNIVERSITY OF LJUBLJANA   (Slovenia)

Author keywords

Calculus of variation; Cantilever beam; Design; Elastic stability; Geometry optimization; Large displacement theory; Lateral buckling

Indexed keywords

BOUNDARY CONDITIONS; BUCKLING; COMPUTATIONAL GEOMETRY; DEFLECTION (STRUCTURES); DEFORMATION; DIFFERENTIAL EQUATIONS; ELASTICITY; OPTIMIZATION; PROBLEM SOLVING; STRUCTURAL DESIGN;

CALCULUS OF VARIATION; ELASTIC STABILITY; GEOMETRY OPTIMIZATION; LARGE DISPLACEMENT THEORY; LATERAL BUCKLING;

CANTILEVER BEAMS;

EID: 10444228811     PISSN: 02638231     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tws.2004.07.011     Document Type: Article

References (9)

1. Timoshenko SP, Gere JM. Theory of elastic stability. New York: McGraw-Hill; 1961.
2. Dražumerič R. Optimization of geometry for lateral buckling process of a cantilever beam, Graduation thesis. University of Ljubljana, Faculty of Mechanical Engineering; 2001.
3. Attard MM. General non-dimensional equation for lateral buckling. Thin-Walled Struct 1990;9(1-4):417-35.
4. Roberts TM, Benchiha M. Lateral instability of monosymmetric beams with initial curvature. Thin-Walled Struct 1987;5(2): 111-23.
5. Vidav I. Variacijski racun. Druitvo matematikov, fizikov in astronomov Slovenije; 1991.
6. Križanič F. Navadne diferencialne enacbe. Drustvo matematikov, fizikov in astronomov Slovenije; 1991.
7. Hoffman JD. Numerical methods for engineers and scientists. New York: McGraw-Hill; 1992.
8. Arora JS. Introduction to optimum design. New York: McGraw-Hill; 1989.
9. Skerlj M. Mehanika-trdnost. University of Ljubljana, Faculty of Mechanical Engineering; 1988.