### Vibration Reduction Optimization of Constrained Damping Variable Density  RAMP Interpolation Model Based on Global Sensitivity Criteria

YUAN Weidong1,2 ;MA Junsheng1,2 ;HE Honglin3;MIU Guofeng1,2;LANG Xudong1,2

1. 1. Nanjing Engineering Institute of Aircraft Systems AVIC, Nanjing,211106
2. Aviation Key Laboratory of Science and Technology on Aero Electromechanical System Integration,Nanjing,211106
3.School of Aeronautical Manufacturing of Nanchang Hangkong University, Nanchang, 330063
• Online:2020-10-10 Published:2020-10-20

### 约束阻尼变密度材料属性合理近似插值模型全域灵敏度减振优化

1. 1. 航空工业南京机电液压工程研究中心，南京，211106
2. 航空机电系统综合航空科技重点实验室，南京，211106
3. 南昌航空大学航空制造工程学院，南昌，330063
• 基金资助:
国家自然科学基金资助项目(51665040,51265040,51565039)

Abstract: Aiming to solve the topology vibration reduction optimization problems of cylindrical shells with constrained damping, a topology vibration reduction model was built based on variable density RAMP interpolation model, with the minimum model loss factor as optimal objective, and MAC factor was introduced to evaluate the step states of the vibration pattern, so as to find the optimal solution of vibration reduction within the design domain of the iterative lightweight constraints. The interpolation model of the objective sensitivity was deduced, the global optimization algorithm was calculated, and the global sensitivity topological variable optimization criterion method of ∞-norm was established to avoid the partial objective sensitivity of non-convex optimization function participating in the local optimal solution and jump of optimization iteration. The topological optimization analysis for constrained damping structures in vibration control of shell components was carried out by programming. The results show that the global optimization algorithm has wide optimization domain, stable and short iteration processes, and it is easy to obtain effective damping effectiveness by laying some damping materials.

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