Mode Tracking Scheme Among Remeshed Models for Structural Optimization  

作　　者：LIU Jun DING Ziqi LU Qi HAN Xianhong 刘俊;丁子祈;陆麒;韩先洪(National Engineering Research Center of Die&Mold CAD,School of Materials Science and Engineering,Shanghai Jiao Tong University,Shanghai 200030,China;Robotics and Discrete Automation Business Research China,ABB Engineering(Shanghai)Ltd.,Shanghai 201319,China)

机构地区：[1]National Engineering Research Center of Die&Mold CAD,School of Materials Science and Engineering,Shanghai Jiao Tong University,Shanghai 200030,China [2]Robotics and Discrete Automation Business Research China,ABB Engineering(Shanghai)Ltd.,Shanghai 201319,China

出　　处：《Journal of Shanghai Jiaotong university(Science)》2019年第6期706-715,共10页上海交通大学学报（英文版）

基　　金：the National Natural Science Foundation of China(No.51775336);the Shanghai Pujiang Program(No.17PJD019)

摘　　要：Mode tracking is required in the structural optimization when the frequencies of certain specified modes must be maintained within a suitable range.A simple tracking method employing the mode number is invalid or misleading when local modes appear or disappear during mesh updating.In this work,a mode tracking scheme combining the nearest neighbor method(NNM)with the modal assurance criterion(MAC)is proposed.Several NNM algorithms are compared,and the k-dimensional tree(kd-tree)NNM is used to transform eigenvectors(mode shapes)from different scales to identical one.A threshold determination method is implemented for the MAC to assess the similarities in all the calculated modes.On the basis of the mode tracking scheme,specified modes can be tracked between different finite element method(FEM)models which have different meshes and optimized shapes.The effectiveness is verified through an example of shape optimization using an electric motor structure.Mode tracking is required in the structural optimization when the frequencies of certain specified modes must be maintained within a suitable range. A simple tracking method employing the mode number is invalid or misleading when local modes appear or disappear during mesh updating. In this work, a mode tracking scheme combining the nearest neighbor method(NNM) with the modal assurance criterion(MAC) is proposed. Several NNM algorithms are compared, and the k-dimensional tree(kd-tree) NNM is used to transform eigenvectors(mode shapes) from different scales to identical one. A threshold determination method is implemented for the MAC to assess the similarities in all the calculated modes. On the basis of the mode tracking scheme, specified modes can be tracked between different finite element method(FEM) models which have different meshes and optimized shapes. The effectiveness is verified through an example of shape optimization using an electric motor structure.

关 键 词：mode tracking scheme remeshed models optimization process nearest neighbor method(NNM) modal assurance criterion(MAC) 

分 类 号：TB123[理学—工程力学]