An exact finite strip for the calculation of relative post-buckling stiffness of I-section struts

Buckling and post-buckling behaviour of moderately thick plates using an exact finite strip

“…where the vector D [15][16][17][18], the Wittrick-Williams (W-W) algorithm is implemented in order to calculate the number of eigenvalues exceeded by any trial value of subjected force. However, this algorithm has been developed for analyzing the plates and plate structures based on the classical plate theory while in the present study the first order shear deformation plate theory is applied.…”

“…The developed semi-energy FSM (S-e FSM) has been applied to analyze the post-local-buckling behaviour of thin flat plates [12], open channel-section [13] and box section struts [14]. Ovesy and Ghannadpour [15][16][17][18] have developed a Full-analytical FSM (F-a FSM) based on CPT in which the Von-Karman's equilibrium equation is solved exactly and thus the buckling mode shapes and loads are obtained with very high accuracy. Then the first obtained mode shape is used in the postbuckling phase and the Von-Karman's compatibility equation is solved exactly to obtain the general form of in-plane displacement fields.…”

High accuracy postbuckling analysis of channel section struts

“…The detailed fundamental elements of the theory are given in earlier publications by Ghannadpour and Ovesy [16][17][18][19][20]. It is noted that a perfectly flat high accuracy strip made up of a linear isotropic material (with a constant modulus of elasticity E and Poisson's ratio v) is assumed throughout the paper.…”

“…The details of the W-W algorithm and the two secure methods for finding the eigenvalue and eigenvector of the transcendental eigenvalue problem are presented in Ref. [16][17][18][19][20]. The first method utilizes a bisection method whereas in the second method (which is designated by the name recursive Newton method) transcendental eigenvalue problem is first reduced to a generalized eigenvalue problem by using Newton's method in the vicinity of an exact critical stress.…”

“…The developed Semi-energy FSM (S-e FSM) has been applied to analyze the post-local-buckling behavior of thin flat plates [13], open channel section [14] and box section struts [15]. More recently, Ghannadpour and Ovesy [16][17][18][19][20] have developed a single-term full-analytical post-local-buckling FSM in which the solution of the von-Karman's equilibrium equation was substituted into the von-Karman's compatibility equation. It is noted that in their analysis, only one of the calculated out-of-plane buckling deflection modes, corresponding to the lowest buckling load, i.e.…”