This thesis is written as part of my bachelor assignment in the seminar Analyse, Stochastiek en Besliskunde and the course Bachelor Onderzoek Natuurkunde. The contents are accesible to all who have...Show moreThis thesis is written as part of my bachelor assignment in the seminar Analyse, Stochastiek en Besliskunde and the course Bachelor Onderzoek Natuurkunde. The contents are accesible to all who have some knowledge in numerical mathematics and third year bachelor physics. I will start this thesis by introducing the problem and the experiment which led to the problem, this will be done in section 1 and 2. In section 3 I will show the models used for simulating the experiment. Section 4 will be about the numerical method I used. I will show and discuss the results from the calculations in section 5, 6 and 7. I want to thank Barry Koren, for his enthusiasm on this subject which was also new to him. In addition I want to thank him for his excellent guidance in the traject of the bachelor project and introducing me at the CWI. I also want to thank Tjerk Oosterkamp for introducing me to this subject and for never being out of enthusiasm and useful ideas. At last I want to thank Bas Edixhoven for introducing me to Pari/GP and for his different view on the mathematical part of the problem.Show less
This thesis investigates the Newton-Raphson solution routine used in the quasi-static multibody model of diarthrodial joints (Kwak et al. 2003). We suggest a more reliable method for solving non...Show moreThis thesis investigates the Newton-Raphson solution routine used in the quasi-static multibody model of diarthrodial joints (Kwak et al. 2003). We suggest a more reliable method for solving non-linear systems of equations that is based on numerical methods for solving differential equations, and show, given the physical nature of the model, that it will find a solution more reliably. This new method is called the Taylored Backward Euler method. It is very reliable, but takes more time to find a solution than the Newton-Raphson algorithm.Show less
