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http://dx.doi.org/10.7734/COSEIK.2020.33.5.279

On the Improvement of the Accuracy of Higher Order Derivatives in the MLS(Moving Least Square) Difference Method via Mixed Formulation  

Kim, Hyun-Young (Department of Mechanical System Engineering, Kumoh National Institute of Technology)
Kim, Jun-Sik (Department of Mechanical System Engineering, Kumoh National Institute of Technology)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.33, no.5, 2020 , pp. 279-286 More about this Journal
Abstract
In this study, we investigate the accuracy of higher order derivatives in the moving least square (MLS) difference method. An interpolation function is constructed by employing a Taylor series expansion via MLS approximation. The function is then applied to the mixed variational theorem in which the displacement and stress resultants are treated as independent variables. The higher order derivatives are evaluated by solving simply supported beams and cantilevers. The results are compared with the analytical solutions in terms of the order of polynomials, support size of the weighting function, and number of nodes. The accuracy of the higher order derivatives improves with the employment of the mean value theorem, especially for very high-order derivatives (e.g., above fourth-order derivatives), which are important in a classical asymptotic analysis.
Keywords
MLS difference method; euler-bernoulli beam; finite differential method; mixed variational theory;
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Times Cited By KSCI : 1  (Citation Analysis)
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