Leiden University Student Repository

Blankevoort, T.P.F. (2011)

A differential equation approach to the solution of non-linear equations of a static physical system

Bachelor thesis | Wiskunde (BSc)

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-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.

Author

Blankevoort, T.P.F.

Faculty

Faculty of Science

Supervisors

Koren, B.
Blankevoort, L.

ECTS Credits

18

Language

en