Improving the natural frequency of the CubeSat structure using voxel-based topology optimization method with the four-connected seed filling

Abstract

The dynamical analysis and optimization pose significant challenges in spacecraft structural design, as they are crucial for mitigating vibrations. However, artificial localized modes can arise due to imprecise finite elemental models, impeding dynamical optimization. This paper proposes a voxel-based topology optimization method with a four-connected seed filling strategy to address this issue. By selecting a seed element and connecting it with the entire structure using four-connected relations, artificial localized modes can be suppressed effectively. Unlike traditional mesh-based methods, this approach saves time and eliminates the need for manual handling of the initial model. To demonstrate the effectiveness of the proposed method, a 6-U CubeSat was chosen as an optimization example. To reduce design errors stemming from calculation inaccuracies, spatial symmetry constraints were employed. Through simulations and vibration tests, it was observed that the first five-order natural frequencies of the optimized structure exceeded those of the original structure. This outcome decreases the likelihood of resonance occurrence and enhances the safety of the electromechanical system. Overall, this research presents a practical and efficient solution for addressing dynamical optimization challenges in spacecraft structural design, thereby improving vibration reduction efforts and safeguarding the integrity of the system.