基于动态加权系数和多目标进化的模型修正方法

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摘要

建立准确的结构动力学模型是结构响应分析的基础，由于模型简化的不确切等因素，必然会带来一定的误差，为了获得高精度的动力学分析模型，需要结合试验数据对模型进行修正。模态试验结果中包含了试件不同状态不同阶次的频率和振型信息，模型修正时需要建立多个目标函数，提出了一种基于动态加权系数的多目标模型修正方法。通过对解的群体实施进化，在每一代非劣解中，挑选各个子目标函数的局部最优解，计算各个局部最优解与子目标期望值的差距，并根据差距对加权系数动态调整，从而在进化过程中对加权系数进行优化，避免维数灾难问题，实现各个子目标函数的快速收敛。采用该方法对导弹全弹动力学模型进行了修正，子目标函数个数达到16个，与基于Pareto最优的模型修正方法相比，用较少的代数实现了各个子目标函数的收敛，提高了群体搜索的效率，取得了较好的修正效果。

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	王乐
	李冬
	余慕春
	张子骏
	牛智玲

关键词 ：模型修正, 多目标进化, 进化算法, 加权系数

Abstract：The establishment of an accurate structural dynamic model is the basis for structural response analysis.Due to inaccurate model simplification and other factors, it will inevitably bring certain errors.In order to obtain a high-accuracy model, it needs to be modified in conjunction with experimental data.Modal test results usually contain frequency and mode shape information of different orders of different states of the test piece; thus, multiple objective functions need to be established.A multi-objective model updating method based on dynamic weighting coefficients was proposed, through the evolution of the solution group, in each generation of non-inferior solutions, the local optimal solution of each sub-objective function was selected, the gap between each local optimal solution and the expected value was calculated, and the weighting coefficient was dynamically adjusted according to the difference.In the course of evolution, the weighting coefficients were optimized to avoid the dimension disaster problem and realize rapid convergence of each sub-objective function.This method was used to update a missile’s dynamic model.The number of sub-objective functions reaches 16.Compared with the Pareto-optimal model updating method, the convergence of each sub-objective function was realized with few algebras, and the efficiency of group search is improved and a better updating effect is achieved.

Key words： model updating multi-objective evolution evolutionary algorithm weighting coefficient

收稿日期: 2018-06-21 出版日期: 2020-02-15

引用本文:

王乐，李冬，余慕春，张子骏，牛智玲. 基于动态加权系数和多目标进化的模型修正方法[J]. 振动与冲击, 2020, 39(4): 284-290.
WANG Le, LI Dong, YU Muchun, ZHANG Zijun, NIU Zhiling. A method of model updating based on dynamic weighting coefficients and multi-objective evolution. JOURNAL OF VIBRATION AND SHOCK, 2020, 39(4): 284-290.

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http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2020/V39/I4/284

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