This approximation leads to a high-quality first level approximate problem (FA) which is solved by considering a sequence of second level approximate problems (SA) in the design variable space. The method presented here represents a new approach to the solution of geometrical optimization problems....
The method of joints involves analyzing the forces at each individual pin joint, while the method of sections involves cutting the truss into smaller sections and analyzing the forces acting on each section. Both methods use the principles of static equilibrium to determine the forces and reactions...
The importance of local buckling constraints on topology optimization is also discussed. Some simple numerical examples are shown at the end of the paper to demonstrate the suitability and efficiency of the proposed method. Keywords: structural synthesis; topology optimization; discrete sizing optimization...
Topology optimization encompasses the decision variables of both shape and sizing optimization [3] within the structural optimization problem. However, the structures obtained by this method usually come with higher manufacturing costs due to flexibility in the layout, size, and shape of the structure,...