Postbuckling behavior of a clamped, elastically supported planar structure under follower force

AIAA Journal ◽  
1987 ◽  
Vol 25 (4) ◽  
pp. 605-610 ◽  
Author(s):  
Lech Tomski ◽  
Jacek Przybylski
Keyword(s):  
Follower Force ◽  
Planar Structure ◽  
Postbuckling Behavior ◽  
Elastically Supported

Two-Mode Buckling of an Elastically Supported Plate and Its Relation to Catastrophe Theory

1980 ◽  
Vol 47 (3) ◽  
pp. 607-612 ◽  
Author(s):  
D. Hui ◽  
J. S. Hansen
Keyword(s):  
Infinite Plate ◽  
Single Mode ◽  
Postbuckling Behavior ◽  
Imperfection Sensitivity ◽  
Mode Behavior ◽  
Quartic Term ◽  
Compressive Loads ◽  
Nonlinear Elastic ◽  
Elastically Supported ◽  
Spring Constants

Classical buckling and initial postbuckling of a geometrically imperfect infinite plate on a nonlinear elastic foundation under two independent applied compressive loads are analyzed. The plate is assumed to have imperfections of the same form as the buckling modes. It is found that single mode behavior occurs when the two independent loads Nx and Ny are unequal. A two-mode case occurs when the two applied loads are equal and the form of the instability falls into the category of the parabolic umbilic type one or type two, depending on the quadratic and cubic spring constants. The importance of the contribution of the quartic term and imperfection-sensitivity is examined. The analysis is studied within the context of Koiter’s general theory of multimode postbuckling behavior.

Dynamic stability of a free-free cylindrical shell under a follower force

AIAA Journal ◽  
2000 ◽  
Vol 38 ◽  
pp. 1070-1077
Author(s):  
Si-Hyoung Park ◽  
Ji-Hwan Kim
Keyword(s):  
Cylindrical Shell ◽  
Dynamic Stability ◽  
Follower Force

Transition radiation in an elastically supported string. Abrupt and smooth variations of the support stiffness

Wave Motion ◽  
1998 ◽  
Vol 27 (4) ◽  
pp. 291-305 ◽  
Author(s):  
A.V. Metrikine ◽  
A.R.M. Wolfert ◽  
H.A. Dieterman
Keyword(s):  
Transition Radiation ◽  
Elastically Supported
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