A numerical study using Hermitian cubic spline wavelets for the analysis of shafts
A numerical study using Hermitian cubic spline wavelets for the analysis of shafts
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DOI：
10.1243/09544062jmes2013
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发表时间：
2010-09
期刊：
影响因子：
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通讯作者：
J. Xiang;J. Long;Z. S. Jiang
中科院分区：
文献类型：
--
作者：
J. Xiang;J. Long;Z. S. Jiang
轴是旋转机械的主要部件。设计此类机械的关键问题是如何准确计算其动态特性。利用区间上的Hermite三次样条小波，提出了一种基于多尺度小波的数值方法。利用小波基对给定内积的正交性，利用小波数值方法的提升格式，可以使相应的多尺度方程组在尺度间部分解耦，适合于嵌套逼近。通过文献中的一些算例对本文方法进行了验证。结果表明，该方法具有较高的精度，可用于轴的动态特性分析。
Abstract Shafts are the main component of rotating machinery. The key problem for designing this kind of machine is how to accurately compute its dynamic characteristic. By using Hermite cubic spline wavelets on the interval, a multi-scale wavelet-based numerical method is proposed. For the orthogonal characteristic of the wavelet bases with respect to the given inner product, the corresponding multi-scale equations will be decoupled across scales partially and suit for nesting approximation using the lifting scheme of the wavelet numerical method. The present method is verified by some examples in the literatures. It shows that the proposed method has high precision and can be applied to analyse dynamic characteristic of shafts.