Topology Optimization for Weight Reduction in Structural Components under Static Loading

Abstract

-Topological Optimization (TO) is a method for identifying the ideal configuration of a structure 
under certain boundaries and loading circumstances while preserving its original efficiency. Every building has 
a particular weight that is incorporated into the TO process. This study delineates the mathematical 
methodology for the TO of systems under self-weight conditions. This work examines the impact of self-weight 
on the topology of buildings under static loading circumstances, with a range of 200-20% of the fixed load 
values. The structures are meshed using quadrilateral 4-node components, and under self-weight conditions, 
the weight of every element is uniformly distributed to all nodes. The MATLAB implementation of the suggested 
mathematical method has been completed and contrasted with traditional structural issues. The penalization 
strategy is employed to ascertain the optimal distribution of substance and voids. The optimum criteria 
approach maximizes structures according to loads and boundary circumstances. Various computational 
instances have been examined to illustrate the impact of self-weight (SW) on static loading architectures and 
the ideal morphologies achieved by altering static loading with respect to SW.