约束阻尼结构的改进准则法拓扑减振动力学优化
发布时间：2018-07-17 21:14
【摘要】：旨在为减振设计提供理论基础,研究约束阻尼结构拓扑动力学优化。以阻尼材料用量、振动特征方程、模态频率为约束,以多模态损耗因子倒数的加权和最小为目标,建立了约束阻尼结构拓扑优化模型,引入MAC因子控制结构的振型跃阶。在引入质量阵惩罚因子基础上推导出优化目标灵敏度。考虑到优化目标函数的非凸性,采用常规准则法(OC)寻优可能会使拓扑变量出现负值或陷入局部优化,故引入数学规划移动渐近技术对OC法进行改进,从而将全体拓扑变量纳入改进算法的优化迭代全过程。编程实现了约束阻尼板改进OC法拓扑动力学优化并对改进法性能进行了仿真。结果显示,改进算法可得到更合理的约束阻尼层构形,可使结构取得更佳减振效果。研究表明,改进算法迭代稳定性更好、寻优效率更高、更具全域最优性。
[Abstract]:The purpose of this paper is to provide a theoretical basis for vibration absorption design and to study the topology dynamics optimization of constrained damping structures. Taking damping material dosage, vibration characteristic equation and modal frequency as constraints, and taking the weighted sum of the reciprocal of multimodal loss factor as the objective, the topology optimization model of constrained damping structure is established, and the vibration mode step of the structure controlled by MAC factor is introduced. Based on the introduction of the mass matrix penalty factor, the sensitivity of the optimized target is derived. Considering the non-convexity of the optimization objective function, using the conventional criterion method (OC) to optimize the topology variables may lead to negative value or local optimization, so the moving asymptotic technique of mathematical programming is introduced to improve the OC method. Thus, all topological variables are incorporated into the whole process of optimization iteration of the improved algorithm. The topology dynamics optimization of constrained damping plate with improved OC method is realized by programming and the performance of the improved method is simulated. The results show that the improved algorithm can obtain a more reasonable configuration of constrained damping layer and make the structure obtain better damping effect. The results show that the improved algorithm has better iterative stability, higher optimization efficiency and better global optimality.
【作者单位】： 南昌航空大学航空制造工程学院;
【基金】：国家自然科学基金(51265040);国家自然科学基金(51565039)
【分类号】：TB535.1
本文编号：2130953
[Abstract]:The purpose of this paper is to provide a theoretical basis for vibration absorption design and to study the topology dynamics optimization of constrained damping structures. Taking damping material dosage, vibration characteristic equation and modal frequency as constraints, and taking the weighted sum of the reciprocal of multimodal loss factor as the objective, the topology optimization model of constrained damping structure is established, and the vibration mode step of the structure controlled by MAC factor is introduced. Based on the introduction of the mass matrix penalty factor, the sensitivity of the optimized target is derived. Considering the non-convexity of the optimization objective function, using the conventional criterion method (OC) to optimize the topology variables may lead to negative value or local optimization, so the moving asymptotic technique of mathematical programming is introduced to improve the OC method. Thus, all topological variables are incorporated into the whole process of optimization iteration of the improved algorithm. The topology dynamics optimization of constrained damping plate with improved OC method is realized by programming and the performance of the improved method is simulated. The results show that the improved algorithm can obtain a more reasonable configuration of constrained damping layer and make the structure obtain better damping effect. The results show that the improved algorithm has better iterative stability, higher optimization efficiency and better global optimality.
【作者单位】： 南昌航空大学航空制造工程学院;
【基金】：国家自然科学基金(51265040);国家自然科学基金(51565039)
【分类号】：TB535.1
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