A Study on the Branch-Switching for the Bifurcation of Latticed Dome

초록

The purpose of this paper is to formulate numerical algorithm for tracing buckling point and post-buckling path. Especially the paths of the multiple bifurcation of the conservative and elastic latticed domes by geometrically nonlinear analysis are examined. For the analysis of multiple bifurcation, firstly, the position and number of bifurcation points must be certain and the change of eigenvalue is traced to carry out it. Secondly, when the bifurcation point is decided during tracing fundamental path, stiffness matrix is reduced as the number of negative pivots. Thirdly, particular mode is obtained from reduced stiffness matrix, and then the direction of bifurcation path can be decided through linear combination of particular and homogeneous modes. A star dome and multiple star dome are considered in numerical examples. The result of linearized arc-length method is compared with that of the spherical method.