Sub-domain optimization of multi-domain structure constructed by reduced system based on the primary degrees of freedom

If the reduced system is well-constructed, the reduction method can provide reliable results not only in the static problem but also in the dynamic analysis. Moreover, reduction method can save computing time remarkably in the problems requiring repeated calculations such as design optimization or time integration. The present study performs the size and shape optimization of each sub-domain with the reduced system combined with sub-domain scheme. The proposed scheme is very efficient in the problems of the design optimization of the large-scaled problems because the reduction scheme is applied to each sub-domain. Through the numerical examples, it is demonstrated that the present method can provide efficient and reliable results in design optimization problems.