Topological design for vibrating structures Original Research Article

The topological optimization technique using micro-scale voids with the homogenization method (for stress analysis of perforated structures) has been applied to solve stiffness maximization problem with success. Here, the homogenization design technique is extended to design problems concerning vibrating structures. An extended optimization algorithm is also derived to maximize a set of eigenvalues as well as to identify the topology design for specified eigenvalues to characterize forced vibration of a structure.