Accompanying data for the paper "Reduced order modeling of geometrically nonlinear rotating structures using the direct parametrisation of invariant manifolds" (Q6694933)

LinksisSupplementTo publication-article https://doi.org/10.46298/jtcam.10430isSupplementedBy 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:f56492ccd78890ee2b82970ae8941d6e39c0c147LanguageEnglishLicenseCreative Commons Attribution 4.0ContributionsAdrien 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 detailsDatasets produced between September and December 2022Funding sourcesFunding from AID (Agence de l'Innovation de Défense), project REMODEL, contract number 2020 65 0057 ENSTAData structure and informationREADME.md: Contains the general information concerning this datasetFiguresfig_1: description of the rotating beamfig_2(a,b,c,d): Linear characteristics of the rotating cantilever beamfig_3(a,b): FRC of the rotating cantilever beam around 1F modefig_4: Convergence of the non-autonomous part of DPIM for the 1F modefig_5(a,b,c,d,e,f): Interpolation of the coefficients of the autonomous ROMfig_6(a,c): Hardening/softening behaviour of the rotating beam; fig 6b is a zoom on fig 6afig_7(a,b,c): Comparisons of FRCs obtained from interpolated ROMs with FOM solutionfig_8a: FRC of the rotating cantilever beam around 2F mode; fig 8b is a zoom of fig 8afig_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 bladefig_10: FRC of the twisted platefig_11(a,b,c): Computing time and convergence analysis with respect to mesh refinement for the fan bladefig_12(a,b,c,d): FRC of interpolated ROMs with increasing degrees compared to reference solutionfig_A_1: Campbell diagram of the beam : impact of Coriolis effectsfig_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 modesfig_C_2(a, b): Comparison of the results on the beam studied between : DPIM, article from Thomas and results from Debeurre