The objective of this study is to analyse the dynamic stable and unstable behaviours of a space truss using an accurate solution obtained by the high-order Taylor method. Because numerical solutions can lead to incorrect analyses in the case of a space truss model due to the being parameters large, we analyse the solution’s behaviour using essentially an analytical solution obtained by the multi-step high-order Taylor method. In detail, the dynamic instability and buckling characteristics of the SDOF model under step, sinusoidal and beating excitations are investigated.

Most of these studies focused on the strength of girders through analysis and experiment of corrugated steel plates and studies on the optimization of corrugated steel plates are still insufficient. This study developed the weight optimum design using the differential evolution. The optimization program was verified with differential evolution through the numerical analysis examples of simple beams. For this verification, the optimization program using the genetic algorithm that has been studied was compared with the weight optimum graph of the optimization program of differential evolution proposed in this study. As a result, the graphs of these two optimization programs increased similarly. And then, in the graph of changing design variables, the changing web thickness showed a similar trend as the increasing trend of the optimum sectional area.