雷振坤, 云 海, 赵燕茹, 潘学民. 数字光弹性中材料条纹常数的自动确定[J]. 工程力学, 2009, 26(12): 40-045,.
引用本文: 雷振坤, 云 海, 赵燕茹, 潘学民. 数字光弹性中材料条纹常数的自动确定[J]. 工程力学, 2009, 26(12): 40-045,.
LEI Zhen-kun, YUN Hai, ZHAO Yan-ru, PAN Xue-min. AUTOMATIC DETERMINATION OF FRINGE CONSTANT IN DIGITAL PHOTOELASTICITY[J]. Engineering Mechanics, 2009, 26(12): 40-045,.
Citation: LEI Zhen-kun, YUN Hai, ZHAO Yan-ru, PAN Xue-min. AUTOMATIC DETERMINATION OF FRINGE CONSTANT IN DIGITAL PHOTOELASTICITY[J]. Engineering Mechanics, 2009, 26(12): 40-045,.

数字光弹性中材料条纹常数的自动确定

AUTOMATIC DETERMINATION OF FRINGE CONSTANT IN DIGITAL PHOTOELASTICITY

  • 摘要: 材料条纹常数是光弹性实验的一个关键参数,也是联系力学量和光学量的纽带,要求具有较高的标定精度。在线性最小二乘法的基础上,该文提出一种自动化确定光弹性材料条纹常数和对径压缩圆盘中心位置的方法。使用相移光弹性法得到对径压缩圆盘全场等色线级数作为实验数据,利用最小二乘法建立超定非线性方程组,最后通过牛顿迭代法求解来自动确定光弹性材料条纹常数和圆盘中心位置,并进行了实验验证。

     

    Abstract: A nonlinear least-squares method was applied to determine the photoelastic fringe constant from isochromatic phase field obtained by digital phase-shifting photoelasticity. To perform automatic evaluation, the photoelastic fringe constant and the center coordinates of a disk under diametral compression are determinated simultaneously using the nonlinear least-squares method. A set of over-determinated nonlinear equations are obtained to estimate the unknown parameters by an iterative procedure based on Newton-Raphson method. Experimental result shows that the parameters are evaluated accurately from the isochromatic phase field obtained from the six-step phase-shifting photoelasticity. The photoelastic fringe constant and the disc center coordinates can be evaluated easily, simply and automatically by the technique.

     

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