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分段样条函数法在全息应变分析中的应用
PIECEWISE SPLINE FUNCTIONS METHOD APPLIED TO HOLOGRAPHIC STRAIN ANALYSIS
【摘要】 本文提出的用分段样条函数确定应变的方法是一种显式算法,不需附加边界条件求解线性方程组,可用于不能直接给出边界条件的力学问题的全息应变分析。文中以悬臂梁为例,通过计算机模拟全息数据和计算,分析了该法的拟合精度,并与L.H.Taylor 的样条函数法的精度进行了比较.
【Abstract】 The method described in this paper which uses piecewise spline functions for determ-ining holographic strain is an explicit algorithm and can solve a system of linear equati-ons without boundary conditions.It can be used for studying those problems whoseboundary conditions are not specified.Take the cantilever beam as an example,the fitaccuracies are analyzed by simulating holographic data and calculating on a computer.Thefit accuracies are compared with those of Taylor’s spline method.
- 【文献出处】 固体力学学报 ,Acta Mechanica Solida Sinica , 编辑部邮箱 ,1981年04期
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