Topology optimization for maximizing linear buckling load based on level set method

Stability and buckling have attracted extensive attention in the design of structural elements, especially thin-walled structures since they may naturally poor stability be prone to failure. This paper proposes a level-set based topology optimization (TO) method that can maximize lowest linear load under mean compliance constraint. First, we conduct linearized analysis formulate optimum problem. Second, derive sensitivity revisit reaction-diffusion equation-based optimization. Finally, solve several two-dimensional benchmark problems results are presented validate proposed method.