University of Twente Student Theses
Energetic consistency of Cosserat rod simulations
Ufkes, R.F. (2024) Energetic consistency of Cosserat rod simulations.
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| Abstract: | In this thesis, the energetic behavior of a Cosserat rod is examined. A variety of simulations were executed through the SoRoSim toolbox in order to see the impact of different bases functions and Magnus expansion approximation orders. When comparing local FEMlike basis functions with global Chebyshev polynomial functions, it is shown that the kinetic and gravitational potential energies were the same but the elastic potential energy differs. The effects on the choice of bases order are also shown with relatively large energy differences between the two high order and one low order Chebyshev polynomials, but the energy difference between the high order bases was minimal. There was no energy differences shown between Chebyshev and Legendre polynomials of the same order. This could be because the polynomial families have a lot of the same characteristics. Lastly, when altering the Zanna approximation order all the energies show a difference. |
| Item Type: | Essay (Master) |
| Faculty: | EEMCS: Electrical Engineering, Mathematics and Computer Science |
| Subject: | 31 mathematics, 33 physics |
| Programme: | Systems and Control MSc (60359) |
| Link to this item: | https://purl.utwente.nl/essays/103765 |
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