A Wavelet-Based Finite Element Method for Modal Analysis of Beams
A new wavelet-based finite element method was proposed for analyzing modal parameters of beams. The Hermite cubic splines wavelet on the interval (HCSWI) was employed as the multi-scale interpolating basis for construct beam element. For the orthogonal characteristic of the wavelet basis with respect to given inner product, the corresponding multi-scale finite element equation will decoupled across scales totally or partially and suit for nesting approximation. Some numerical examples indicate that the proposed method have higher efficiency and precision.
Zhengyi Jiang and Chunliang Zhang
J. W. Xiang et al., "A Wavelet-Based Finite Element Method for Modal Analysis of Beams", Advanced Materials Research, Vols. 97-101, pp. 2728-2731, 2010