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基于加速度频响函数的改进响应面模型修正

MODIFIED RESPONSE SURFACE MODEL UPDATING BASED ON ACCELERATION FREQUENCY RESPONSE FUNCTION

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【作者】 杨成浩彭珍瑞董海棠

【Author】 YANG ChengHao;PENG ZhenRui;DONG HaiTang;School of Mechatronics Engineering,Lanzhou Jiaotong University;

【机构】 兰州交通大学机电工程学院

【摘要】 为提高模型修正精度,将加速度频响函数引入到改进的响应面模型修正当中。首先分别采用模态参与度准则和有效独立法确定试验最佳激励点和测量点,然后根据待修正参数选取样本点,计算其对应的加速度频响函数,构造初始响应面模型;其次利用三倍方差准则,对预测值进行检验,剔除远离响应面的离群点;再优化初始响应面模型得到最优解作为新的样本点,利用比值型加权方法进行加权,构造加权响应面模型;之后使用改进的响应面模型代替有限元模型,再以频率响应差最小构造目标函数,利用布谷鸟算法求解参数修正值。使用典型的桁架结构模型进行验证,结果表明,改进后的响应面模型计算精度和计算效率都有所提高。

【Abstract】 In order to improve the accuracy of model updating,the acceleration frequency response function is introduced into the improved response surface model updating.Firstly,the modal participation criterion and the effective independence method are applied to determine the best incentive point and the measuring point; the sample points are selected according to the parameters to be modified; the acceleration frequency response functions of the sample points are calculated; the initial response surface model is constructed.Secondly,the predicted value is tested by using the triple variance criterion; the outliers far from the response surface are eliminated.Thirdly,the initial response surface model is optimized to obtain the optimal solution as a new sample point; the weighted response surface model is constructed by using the ratio weighting method.Then,the finite element model is replaced by the improved response surface model; the objective function is constructed with the minimum of frequency response difference; the modified parameters are solved by cuckoo algorithm.The typical truss structure model is used to verify the effectiveness.The results show that the accuracy and efficiency of the improved response surface model are improved.

【基金】 国家自然科学基金项目(51768035);甘肃省高校协同创新团队项目(2018C-12);兰州市人才创新创业项目(2017-RC-66)资助~~
  • 【文献出处】 机械强度 ,Journal of Mechanical Strength , 编辑部邮箱 ,2021年01期
  • 【分类号】TH123
  • 【被引频次】2
  • 【下载频次】217
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