Dynamic vibration behavior is important for machine life and reliability, requiring optimal time response characteristics depending on the objective function. Composite structures with dissimilar materials can perform excellent mechanical behavior that is unattainable with single material. For example, by using different thermal expansion coefficients of dissimilar materials, thermal displacement can be controlled by design optimization. The present work aims to develop a gradient-based optimal interface shape design method for minimizing the dynamic vibration displacement of composite structures with dissimilar materials. First, we formulate the design problem, where the time-dependent dynamic displacement of a given domain is set as the objective function to be minimized. We also consider the volume constraint of dissimilar materials as the constraint condition. Then, we theoretically derive the sensitivity function and construct the optimal interface shape design system. Finally, the validity of the proposed optimal interface shape design method is validated through design examples.
IGAWA et al. (Wed,) studied this question.