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基于改进白鲨优化的DIC位移测量方法

DIC displacement measurement method based on the improved white shark optimizer

  • 摘要: 为了提高数字图像相关方法中整像素位移搜索算法的性能,引入了白鲨优化算法,并通过采用tent混沌映射、引入动态非线性时间因子、设置自动终止条件和增加三步搜索法等措施进行改进。为了提高亚像素位移求解精度和效率,将双三次插值、改进的白鲨优化算法和曲面拟合法相结合,提出了一种改进的曲面拟合法,通过数值模拟实验和低碳钢拉伸实验对算法的性能进行分析。结果表明,改进的白鲨优化算法搜索成功率高达100%,计算时间与粒子群算法相当,仅是粗-细搜索法的1/4;改进的曲面拟合法的计算精度与牛顿-拉普森(N-R)法相当,但计算耗时仅为N-R法的3.50%;改进的白鲨优化算法可快速、准确地实现整像素位移搜索;改进的曲面拟合法具有较高的计算精度和计算效率,且在实际测量中依旧能保持较好的稳定性。该研究为数字图像相关方法的改进和应用提供了参考。

     

    Abstract: In order to improve the performance of integer-pixel displacement search algorithm of digital image correlation(DIC) method, the white shark optimizer was introduced and improved by adopting tent mapping, introducing dynamic nonlinear time factor, setting automatic termination condition and adding three-step search method. In order to improve the accuracy and efficiency of sub-pixel displacement solving, an improved surface fitting method was proposed by combining bicubic interpolation, and the white shark optimizer and surface fitting method was improved. The performance of the two algorithms was tested by numerical simulation experiments and tensile experiment of low-carbon steel. The experimental results exposes that, the improved white shark optimizer has a search success rate of up to 100%, with a computational time comparable to that of the particle swarm optimization and only a quarter of that of the coarse-fine search method. The computational accuracy of the improved surface fitting method is comparable to that of the Newton-Raphson(N-R)algorithm, but the computational time consumed is only 3.50% of the N-R algorithm. The improved white shark optimizer can achieve integer-pixel displacement search quickly and accurately. The improved surface fitting method has high computational accuracy and efficiency, and still maintains good stability in actual measurements. This study provides a reference for the improvement and application of digital image correlation method.

     

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