Links isSupplementTo publication-article https://doi.org/10.46298/jtcam.10430 isSupplementedBy software https://archive.softwareheritage.org/swh:1:dir:97292192b4790c2af01e25f4694d024561c5638c;origin=https://github.com/MORFEproject/MORFEInvariantManifold.jl;visit=swh:1:snp:cbd3f3eaf0dc99efb1d6bed706c3b4c3b67a1077;anchor=swh:1:rev:f56492ccd78890ee2b82970ae8941d6e39c0c147 Language English License Creative Commons Attribution 4.0 Contributions Adrien MARTIN carried out the main part of study, defined the examples, performed the numerical simulations and drafted the manuscript; Andrea OPRENI and Alessandra VIZZACCARO developed the methodology and built the main parts of the Julia code implementing the reduction method; Andrea OPRENI developed the first version of the HBFEM code which has been updated for rotation in collaboration with Adrien MARTIN; Marielle DEBEURRE performed all the simulations shown in Appendix C related to the Timoshenko beam model with continuation; Loïc SALLES supervised the work, discussed applications to blades, and helped in designing and understanding the twisted plate model; Attilio FRANGI supervised the work and help in the development of the methodology; Olivier THOMAS helped in all discussions related to the comparisons with the thin beam example and wrote Appendix C; Cyril TOUZE supervised the work, carried out most of the writing and developed the methodology; All authors read and approved the final manuscript. Data collection: period and details Datasets produced between September and December 2022 Funding sources Funding from AID (Agence de l'Innovation de Défense), project REMODEL, contract number 2020 65 0057 ENSTA Data structure and information README.md: Contains the general information concerning this dataset Figures fig_1: description of the rotating beam fig_2(a,b,c,d): Linear characteristics of the rotating cantilever beam fig_3(a,b): FRC of the rotating cantilever beam around 1F mode fig_4: Convergence of the non-autonomous part of DPIM for the 1F mode fig_5(a,b,c,d,e,f): Interpolation of the coefficients of the autonomous ROM fig_6(a,c): Hardening/softening behaviour of the rotating beam; fig 6b is a zoom on fig 6a fig_7(a,b,c): Comparisons of FRCs obtained from interpolated ROMs with FOM solution fig_8a: FRC of the rotating cantilever beam around 2F mode; fig 8b is a zoom of fig 8a fig_9(a,b,c,d): fig 9 a-b-c : geometry of the blade and some modes and static displacements; fig 9d : Campbell diagram of the blade fig_10: FRC of the twisted plate fig_11(a,b,c): Computing time and convergence analysis with respect to mesh refinement for the fan blade fig_12(a,b,c,d): FRC of interpolated ROMs with increasing degrees compared to reference solution fig_A_1: Campbell diagram of the beam : impact of Coriolis effects fig_C_3(a,b,c,d,e,f,g,h,i): Comparison of the results on the beam studied between DPIM and article from Thomas for 1F and 2F modes fig_C_2(a, b): Comparison of the results on the beam studied between : DPIM, article from Thomas and results from Debeurre