A simple method for the optimization of columns, frames and plates against buckling

A simple method is presented for the optimum designs of columns, frames and plates against buckling using finite element method. From the results of finite element analysis, the effect on the fundamental buckling load due to the local modification of each element is assessed. Based on this assessment, material is gradually shifted from the strongest part of the structure to the weakest part while keeping the structural weight constant. The final shape of columns, frames and plates using the proposed simple method may result in the buckling load being increased by 20 to 100 percent. This method also takes account of multimodal behaviour of structures.