TY - JOUR AB - Purpose 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.Design/methodology/approach 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.Findings The results show a high convergence rate and accuracy for PUIGA and the advantage of input enrichment functions and material parameters on parametric space.Originality/value 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. VL - 37 IS - 7 SN - 0264-4401 DO - 10.1108/EC-04-2019-0189 UR - https://doi.org/10.1108/EC-04-2019-0189 AU - Rauen Mateus AU - Machado Roberto Dalledone AU - Arndt Marcos PY - 2020 Y1 - 2020/01/01 TI - An enriched formulation of isogeometric analysis applied to the dynamical response of bars and trusses T2 - Engineering Computations PB - Emerald Publishing Limited SP - 2439 EP - 2466 Y2 - 2024/03/29 ER -