The Construction of the SGW-Based Bar-Beam Elements

Abstract:

PsdVoigt2 function was used to fit SGW function and a series of bar beam elements based on the theory of SGW and wavelet finite element were constructed. Traditional finite element polynomial interpolation was replaced by the SGW scaling function and transformation matrix was utilized to transform wavelet interpolation coefficients to physical space. Thereby the shape function and element were constructed. The precision of a series of bar beam elements constructed with the SGW scale function as the interpolation function were verified by the calculation cases. The calculation results showed that the precision of the SGW-based element constructed was higher in calculating the deformation and strain. And the SGW-based bar beam element constructed enriched the element library of wavelet-finite element method.

• Periodical: Applied Mechanics and Materials (Volumes 423-426)
• Pages: 1202-1206
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.423-426.1202
• Online since: September 2013
• Authors: Yan Xin Liu, Han Xiang Wang, Qian Qian Fu, Xiang Xiang Yang, Guo Dong Ding
• Keywords: Construction of Elements, One-Dimensional Element, SGW, Wavelet-Finite Element

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