ModelReduction.jl is a Julia package to perform model reduction methods for i.e. multibody dynamics problems. The packcage includes model order reduction methods such as the Guyan reduction and the Craig-Bampton method.
Reducing the sizes of stiffness and mass matrices of the model will greatly decrease the computation resources needed when performing dynamic analyses.
ModelReduction.jl is a part of JuliaFEM. All codes are MIT licensed.
Install the package the same way other Julia packages are installed.
julia> Pkg.add("ModelReduction")
Test the package with Pkg.test etc.
julia> Pkg.test("ModelReduction")
This example demonstrates how to use the Craig-Bampton method function.
Problem setup:
julia> K = [2 -1 0 0;
-1 2 -1 0;
0 -1 2 -1;
0 0 -1 1]
julia> M = [2 0 0 0;
0 2 0 0;
0 0 2 0;
0 0 0 1]
julia> r = [4]
julia> l = [1, 2, 3]
julia> n = 1
K = original stiffness matrix, M = original mass matrix, r = retained DOF:s, l = internal DOF:s, n = the number of the internal modes to keep. Calculate the reduced mass and stiffness matrices Mred and Kred.
julia> using ModelReduction
julia> Mred, Kred = ModelReduction.craig_bampton(K, M, r, l, n)
([2.75 -1.20711; -1.20711 1.0], [0.25 0.0; 0.0 0.292893])
If you like using our package, please consider citing our article:
@article{rapo2018implementing,
title={Implementing model reduction to the JuliaFEM platform},
volume={51},
url={https://rakenteidenmekaniikka.journal.fi/article/view/69026},
doi={10.23998/rm.69026},
number={1},
journal={Rakenteiden Mekaniikka},
author={Rapo, Marja and Aho, Jukka and Koivurova, Hannu and Frondelius, Tero},
year={2018},
pages={36-54}
}
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