Carlos A. Felippa*
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1209-1241, 2021, DOI:10.32604/cmes.2021.016803
- 25 November 2021
Abstract This paper considers Lagrangian finite elements for structural dynamics constructed with cubic displacement
shape functions. The method of templates is used to investigate the construction of accurate mass-stiffness pairs.
This method introduces free parameters that can be adjusted to customize elements according to accuracy and
rank-sufficiency criteria. One- and two-dimensional Lagrangian cubic elements with only translational degrees of
freedom (DOF) carry two additional nodes on each side, herein called side nodes or SN. Although usually placed
at the third-points, the SN location may be adjusted within geometric limits. The adjustment effect is studied in
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