Non-linear Buckling analysis of Shallow Latticed domes Using Modal Analysis

초록

This paper is mainly focused on the application of modal analysis to analyze the geometrically non-linear buckling behaviours of latticed spherical domes, and the evaluation of each eigen mode affected post-buckling behaviours and buckling loads. Modal analysis is applied to derivation of the system matrices transforming actual displacement space into generalized coordinates space represented by coefficients multiplied in the linear combination of eigen modes which are independent and orthogonal each other. By using modal analysis method, it will be expected to save the calculating time by computer extremely. For example, we can obtain the satisfactorily good results by using about 7% of total eigen modes only in case of single layer latticed dome. And we can decrease the possibility of divergence on the bifurcation point in the calculation of post-buckling path. Arc-length method and Newton-Raphson iteration method are used to calculate the nonlinear equilibrium path.