Abstract
Topology optimization using beam elements has been developed about stiffness problem. Fast convergence and good results are obtained using CONLIN (Convex Linearization). However, it is difficult to apply this optimization to vibration problem. A layout on the way of optimization is drastically changed due to the exchange of order among eigenvalues. As a result, optimization scheme can not search the optimal layout. In order to overcome the above problem, we propose layout optimization of reinforcement structure. Topology optimization about vibration problem can be solved like stiffness problem by keeping main structure and changing beam element as reinforcement parts. Firstly, we show the formulation of optimization. In this problem, shell elements are not design variables and beam ones are design ones. Then, we demonstrate this method using a basic plate structure with reinforcement parts.