A Wavelet-Based Finite Element Method for Modal Analysis of Beams

Abstract:

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.

• Periodical: Advanced Materials Research (Volumes 97-101)
• Pages: 2728-2731
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.97-101.2728
• Online since: March 2010
• Authors: Jia Wei Xiang, Zhan Si Jiang, Jin Yong Xu
• Keywords: Beam, HCSWI, Modal Analysis, Wavelet-Based Element

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