On the optimal topological design of plate/shell like structures for frequency response optimization problems

The topological optimization technique presented by M.P. Bendsoe and N. Kikuchi (1988), based on a homogenization method (HBOA), is applied to deal with the optimal design of plate/shell like structures subject to a harmonic, periodic excitation. With a given amount of material for design, the proposed algorithm improves the frequency response of structures through the optimal shape/topology design of structures. Using HBOA, two types of frequency response optimization problems are extensively explored: minimization of the dynamic mean compliance of plate/shell like structures under a periodic excitation; and similar to the previous problem but under an excitation with excitation frequencies in a frequency domain. An interesting and significant result is provided from the current optimization problem in comparison with a static problem.