Accession Number : AD0685799

Title :   POST-BUCKLING ANALYSIS OF AN ELASTICALLY-RESTRAINED COLUMN.

Descriptive Note : Technical rept.,

Corporate Author : CALIFORNIA UNIV SAN DIEGO LA JOLLA DEPT OF THE AEROSPACE AND MECHANICAL ENGINEERING SCIENCES

Personal Author(s) : Haftka,R. ; Nachbar,W.

Report Date : FEB 1969

Pagination or Media Count : 26

Abstract : The nonlinear problem of the asymmetric snap-through buckling of a cantilever column that is restrained at its tip by a stiff, inclined wire, and loaded laterally by a tip force, admits an exact solution which was determined previously. The structure was found to be imperfection-sensitive if one considers combined extensional stiffnesses of the wire and of the column centerline to play the role of an imperfection. The same problem is now solved using the general Koiter method of analysis for the near post-buckling equilibrium. This present result for the post-buckling load vs. deflection relation for the 'perfect structure' (infinite extensional stiffnesses) is shown to be an asymptotic representation of the corresponding exact result for vanishingly small deflection. At positive deflection, the approximate values for load in the asymptotic representation are less than the exact values. A similar conclusion is drawn for the buckling load vs. imperfection amplitude relation for the imperfect structure (finite extensional stiffnesses). (Author)

Descriptors :   (*CANTILEVER BEAMS, BUCKLING), ANCHORS(STRUCTURAL), WIRE, LOADS(FORCES), DEFLECTION, ELASTIC PROPERTIES, ASYMPTOTIC SERIES, SENSITIVITY, EQUILIBRIUM(PHYSIOLOGY), MOMENT OF INERTIA

Subject Categories : Structural Engineering and Building Technology
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE