| The in-depth contents |
| Publication year |
1989 |
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| Title |
STRUCTURAL STABILITY OF HYBRID CABLE STRUCTURES -Torsional Buckling as a Bifurcation Buckling- |
| Author |
Yasuhiko HANGAI,Hideki MAGARA,Kiyoshi OKAMURA,Xiaoguang LIN
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| Summary |
When the symmetrical load apply to the symmetrical hybrid cable structures， a bifurcation buckling which reveals the torsional， asymmetrical deformation appears. The objective of the present paper is to examine this bifurcation buckling for two kinds of hybrid cable structures such as the Geiger type and Zetline type.
In the first of the paper， an analytical method to pursue the geometrically nonlinear equilibrium paths in the vicinity of critical points is presented by using the generalized inverse. The perturbation equations for the incremental equilibrium equations are derived. Then, critical points on the equilibrium path are classified into limit point and bifurcation point by using the existence condition of solution， and an analytical method for post-critical paths beyond critical points is presented.
At the standpoint of the numerical analysis， it is very difficult to find numerically the exact critical point on the equilibrium path where |K| =0. To avoid this situation，the singular value decomposition method is effectively used here to obtain the generalized inverse numerically.
In the second part of the paper， the application of the present method to the torsional buckling problem in order to examine the post-bifurcation behaviors as well as the load carrying capacity of hybrid cable structures.
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