Abstract
Structural topology optimization has been applied to the various problems, and accepted into industrial as a useful tool. But, in some case, numerical instabilities such as checkerboard patterns appear. For the problem, smoothing method called H^1 gradient method has been proposed. In this paper, applying H^1 gradient method to maximizing eigenvalue problem, it is shown that the smooth topology can be obtained. And, showing difficulty of applying the topology optimization to vibration problem, the new approach to maximize eigenvalue considering static stiffness is proposed.
