Optimum Support Layout Design for Periodically Loaded Structures Using Topology Optimization

Optimal support layout design of structures under forced vibration is determined using topology optimization method. The vibrations of a structure can be reduced by adding external supports to the structure. Linear elastic springs are used as the external supports and the objective function used is dynamic compliance of structure. Solid Isometric Material with Penalty (SIMP) method is employed to solve the topology optimization problem. The optimal support locations are determined for cantilever beam and plate structures subjected to harmonic loads.