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Study on construction of SGW-based bar-beam elements |
WANG Hanxiang, LIU Yanxin, DING Guodong
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(College of Mechanical and Electronic Engineering in China University of Petroleum, Qingdao 266580, China)
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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, then the shape function and a series of bar beam elements were constructed. The precision of constructed bar beam elements using SGW scale function as the interpolation function was verified by a series of calculation cases. The calculation results show that the SGW-based element has good precision in calculating the deformation and strain. The SGW-based bar beam element enriches the element library of wavelet-finite element method. |
Key words: SGW wavelet-finite element one-dimensional element construction of elements |
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