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A polynomial based dynamic expansion and data consistency assessment and modification for cylindrical shell structures

机译:基于多项式的动态膨胀与数据一致性评估和圆柱形壳体结构的改进

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摘要

A designated set of shape functions are created for cylindrical shell structures. The 1D Chebyshev polynomial is applied along the axial direction and the 1D harmonic basis along the circumferential direction. A 2D orthogonal space is formed on the cylindrical domain by combining the above two 1D bases and is used to develop the expansion function. A finite element model is not required for the expansion technique, nor are the boundary conditions or external forcing functions. Using these generated shape functions, the dynamic time response at some points on cylindrical shells structure can be expanded to obtain the information at a larger number of points. Only the measurement data, geometry, and coordinates of measured points are needed. The developed polynomial expansion technique is also extended to a Data Consistency Assessment Function (DCAF), which can assess the consistency of the data set and identify the inconsistent points. The inconsistent points can also be modified by using the polynomial expansion method. A cylindrical shell structure in either air or water medium is used to experimentally demonstrate the use of the developed shape functions for polynomial expansion and data consistency assessment and modification.
机译:为圆柱形壳结构产生指定的形状功能。沿圆周方向沿轴向和1D谐波基础施加1D Chebyshev多项式。通过组合上述两个1D基础,在圆柱形域中形成2D正交空间,并用于开发膨胀功能。扩展技术不需要有限元模型,也不需要边界条件或外部强制功能。使用这些产生的形状函数,可以扩展圆柱形壳结构上一些点处的动态时间响应以在更大数量的点处获得信息。只需要测量数据,几何和测量点的坐标。开发的多项式扩展技术也扩展到数据一致性评估函数(DCAF),可以评估数据集的一致性并识别不一致的点。也可以通过使用多项式扩展方法来修改不一致点。空气或水介质中的圆柱形壳结构用于通过实验证明发发的形状函数用于多项式膨胀和数据一致性评估和修改。

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