关键词:
adaptive bubble method (ABM)
dynamic compliance
fail-safe
natural frequency
topology optimization
摘要:
Here, to overcome the deficiency of extreme sensitivity to local damages under Vibration load due to lack of redundant structures in dynamic topology optimization design results, combining the adaptive bubble method (ABM) and fail-safe design concept, a structural dynamic fail-safe topology optimization design framework was developed. Compared with traditional topology optimization methods of variable density method and level set method, the ABM could not only have advantages of fewer design variables, smooth and clear optimization result boundary and being directly imported into CAD Systems, but also effectively avoid local modal phenomena caused by weak elements in dynamic topology optimization. The concept of fail-safe design had already been introduced in static topology optimization design to avoid overall structural failure caused by local damages, but it had not been used to solve the more common Vibration failure problem in engineering. Here, the concept of fail-safe design was extended to dynamic topology optimization design by combining the ABM. Firstly, a universal hole-inducing criterion was adopted to realize structural dynamic topology optimization based on the ABM. Then, comprehensively considering various damage conditions, local structural damage was simulated by removing materials from different areas. Furthermore, Kreisselmeier-Steinhauser (KS) function was used to condense fundamental frequencies or dynamic compliances of structure under all damage conditions, which was taken as the optimization objective. Finally, the structural dynamic topology optimization model considering fail-safe was established to perform optimization design based on sensitivity analysis results. The effectiveness of this method in improving structural Vibration safety was verified with two representative examples. © 2025 Chinese Vibration Engineering Society. All rights reserved.