Elastica of shear-deformable tapered columns

2002 ◽  
Vol 6 (2) ◽  
pp. 135-141 ◽  
Author(s):  
Byoung Koo Lee ◽  
Kou Moon Choi ◽  
Tae Eun Lee ◽  
Young Il Kim
Keyword(s):  
Tapered Columns ◽  
Shear Deformable

ELASTICAS AND BUCKLING LOADS OF SHEAR DEFORMABLE TAPERED COLUMNS

2005 ◽  
Vol 05 (03) ◽  
pp. 317-335 ◽  
Author(s):  
BYOUNG KOO LEE ◽  
ATHOL J. CARR ◽  
TAE EUN LEE ◽  
DAE SOON AHN
Keyword(s):  
Differential Equations ◽  
Shear Deformation ◽  
Experimental Studies ◽  
Nonlinear Analyses ◽  
Buckling Loads ◽  
Nonlinear Responses ◽  
Geometrical Nonlinear ◽  
Tapered Columns ◽  
Shear Deformable ◽  
Theoretical Results

This paper deals with the geometrical nonlinear analyses of buckled columns. Differential equations governing the elasticas of buckled columns are derived, in which both the effects of taper type and shear deformation are included. Three kinds of taper types are considered, i.e. breadth, depth and square tapers. Differential equations are solved numerically to obtain the deflection of elasticas and the buckling loads of such columns. Both clamped ends and hinged ends are considered. The effects of shear deformation on the deflection of elasticas of buckled columns and on the buckling loads of columns are investigated extensively. The buckling load equations for uniform columns are expressed as a function of the implicit shear effect. Experimental studies are presented that complement the theoretical results of nonlinear responses of the elasticas.

Stability of tapered columns under end-concentrated and variably distributed follower forces

AIAA Journal ◽  
2002 ◽  
Vol 40 ◽  
pp. 1250-1252
Author(s):  
H. Qiao ◽  
Q. S. Li
Keyword(s):  
Follower Forces ◽  
Tapered Columns

Buckling of shear-deformable orthotropic laminated plates with elastic restraints

2020 ◽  
Vol 157 ◽  
pp. 107071
Author(s):  
Philip Schreiber ◽  
Christian Mittelstedt ◽  
Matthias Beerhorst
Keyword(s):  
Laminated Plates ◽  
Elastic Restraints ◽  
Shear Deformable

A size-dependent model for shear deformable laminated micro-nano plates based on couple stress theory

2021 ◽  
Vol 259 ◽  
pp. 113457
Author(s):  
Zanhang He ◽  
Jianghong Xue ◽  
Sishi Yao ◽  
Yongfu Wu ◽  
Fei Xia
Keyword(s):  
Couple Stress ◽  
Couple Stress Theory ◽  
Stress Theory ◽  
Size Dependent ◽  
Dependent Model ◽  
Shear Deformable
Sign in / Sign up

Export Citation Format

Share Document