Non-Linear Buckling Analysis of Double Layer Latticed Domes by Modal Analysis

초록

This paper is mainly forcused 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 domes' load-carrying capacity. 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 because wee can obtain the satisfactorily good results by using about 7% of total eigen modes only. And we can decrease the possibility of divergence in the calculation of post-buckling path. Arc-length method and Newton-Raphson iteration method are used to calculate the nonlinear equilibrium path.