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叶敬晨,计宏伟*.一种基于预变形辅助前向加性高斯牛顿法的数字图像相关方法[J].实验力学,2022,37(5):621~628
一种基于预变形辅助前向加性高斯牛顿法的数字图像相关方法
A digital image correlation method based on pre-deformation forward additive gauss-newton method
投稿时间:2022-01-06  修订日期:2022-01-19
DOI:10.7520/1001-4888-22-005
中文关键词:  数字图像相关  预变形  非均匀变形
英文关键词:digital image correlation  pre-deformation  non-uniform deformation
基金项目:国家自然科学基金面上项目(12172254)资助
作者单位
叶敬晨 天津商业大学 机械工程学院, 天津 300134 
计宏伟* 天津商业大学 机械工程学院, 天津 300134 
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中文摘要:
      尽管数字图像相关(Digital Image Correlation, DIC)方法已经取得了显著进展,但提高DIC的测量精度仍然是关键问题之一,特别是在非均匀变形条件下。本文将变形分解为预变形和后变形两部分,进而将DIC位移求解过程分解为两个子过程:预变形估计和后变形迭代。借助预变形辅助策略将前向加性高斯牛顿(Forward Additive Gauss-Newton, FA-GN) 算法推广为pFA-GN (Pre-deformation FA-GN, pFA-GN) 算法。数值实验结果表明,本文提出的pFA-GN算法显著提高了DIC在非均匀变形条件下的测量精度。
英文摘要:
      Although digital image correlation (DIC) has made significant progress, further improving the measurement accuracy of DIC is still one of the focuses, especially under non-uniform deformation. This paper decomposes the deformation into pre-deformation and post-deformation, and then the DIC displacement solution process will be decomposed into two sub-processes, pre-deformation estimation and post-deformation iteration. Forward Additive Gauss-Newton (FA-GN) algorithm is generalized as Pre-deformation FA-GN (pFA-GN) algorithm by means of pre-deformation assistance strategy. Numerical experiment results show that the proposed pFA-GN algorithm significantly improves the measurement accuracy of DIC under non-uniform deformation.
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