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

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