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An Approach to Analyse Errors Introduced in the Random Grid Strain Measurement Method

机译:一种分析随机网格应变测量方法中引入的误差的方法

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摘要

The present work refers to the errors imposed by the recently introduced random-grid mesh-free full field strain measurement method. Excluding systematic errors of the digital camera, the method itself is not an error-free procedure. A possible cause of errors could be the misplacement of the spot-centre (centroid) with regard of the spot boundaries. Another cause of errors is the limited order of approximation in the field function. A third one, emerges from the so-called 'sub-pixel effect'. This kind of error is difficult to trace, so direct comparison between the results of the method and exact solutions is required. In the present work, proper analytical or numerical derivations of those errors are presented and reasonable upper limits are estimated. Finally, numerical and experimental examples are presented to demonstrate the accuracy of the method.
机译:当前的工作是指由最近引入的无随机网格的无网格全场应变测量方法带来的误差。排除数码相机的系统错误,该方法本身并不是一个没有错误的过程。错误的可能原因可能是光斑中心(质心)相对于光斑边界的位置不正确。错误的另一个原因是场函数中逼近的有限顺序。第三种是所谓的“亚像素效应”。这种错误很难追踪,因此需要直接比较方法的结果和精确的解决方案。在目前的工作中,对这些误差进行了适当的分析或数值推导,并估计了合理的上限。最后,通过数值和实验实例验证了该方法的正确性。

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