Dynamic Stability Enhancement of Columns Through Material Distribution Optimization Strategies

This study focuses on optimizing the shape of columns, particularly considering advanced material distributions that respond to specific load cases. Utilizing a variational method, equations describing movement and boundary conditions are established. This research, while adhering to a static and kinetic criterion for stability loss, identifies the optimal geometric parameters for the columns constructed from specific materials to achieve maximum critical load capacity. It is assumed that the total volume of the system does not change. The innovation of the presented research is the use of a simulated annealing algorithm to optimally shape the column outline in terms of the maximum critical force value, which depends on many material variables. This method was adapted to the calculations of slender rod systems by introducing a number of modifications. The obtained increases in the critical load reach up to 40% compared to the prismatic system. The results also show that it is possible to control the dynamic properties in column structures while increasing the stability of the system. This study underscores the significant role of material selection and optimization in enhancing the dynamic stability and load-bearing capacity of column structures.