DOI: 10.5281/zenodo.7924471
title: Accompanying data for the paper "Reduced order modeling of geometrically nonlinear rotating structures using the direct parametrisation of invariant manifolds"

description: 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