Cs. Krishnamoorthy et al., POSTBUCKLING ANALYSIS OF STRUCTURES BY 3-PARAMETER CONSTRAINED SOLUTION TECHNIQUES, Finite elements in analysis and design, 22(2), 1996, pp. 109-142
This paper investigates the post-buckling analysis of structures using
several proposed three-parameter constrained solution techniques. The
family of three-parameter constraint equations is non-dimensional and
comprises an elliptic constraint method, hyperbolic constraint method
and a second degree polynomial constraint method. The proposed method
s are numerically robust and are shown to be quadratically convergent.
Their computational performance is demonstrated through various examp
les of truss, beam, plane stress and shell structures. The scope of th
e paper is limited only to the tracing of primary equilibrium path of
the above structures, and hence the problems of bifurcation are not co
nsidered in the present study.