Robust topology optimization of cellular structure for mitigating dynamic instability in elastic structure

This study presents an optimization method using cellular structures to mitigate dynamic instability. Dynamic instability, characterized by positive real parts of complex eigenvalues, arises from asymmetric system matrices. It often leads to problematic squeal noise and severe vibrations in engineering systems. The conventional optimization approach of cellular structures consists of three main steps: the homogenization to capture the material properties, the topology optimization considering th