This study aims to present a new hybrid formulation based on non-uniform rational b-splines functions and enrichment strategies applied to free and forced vibration of straight bars and trusses.
Based on the idea of enrichment from generalized finite element method (GFEM)/extended finite element method (XFEM), an extended isogeometric formulation (partition of unity isogeometric analysis [PUIGA]) is conceived. By numerical examples the methods are tested and compared with isogeometric analysis, finite element method and GFEM in terms of convergence, error spectrum, conditioning and adaptivity capacity.
The results show a high convergence rate and accuracy for PUIGA and the advantage of input enrichment functions and material parameters on parametric space.
The enrichment strategies demonstrated considerable improvements in numerical solutions. The applications of computer-aided design mapped enrichments applied to structural dynamics are not known in the literature.
The authors thank the Coordination for the Improvement of Higher Education Personnel and the Brazilian National Council for Scientific and Technological Development for supporting this research.
Funding: The funding were provided by Higher Education Personnel (CAPES) and Brazilian National Council for Scientific and Technological Development (CNPQ).
Rauen, M., Machado, R. and Arndt, M. (2020), "An enriched formulation of isogeometric analysis applied to the dynamical response of bars and trusses", Engineering Computations, Vol. ahead-of-print No. ahead-of-print. https://doi.org/10.1108/EC-04-2019-0189Download as .RIS
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