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Computing the shape of flexible shafts

Cate, T. ten (2007) Computing the shape of flexible shafts. Bachelor's Thesis, Mathematics.

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Abstract

This thesis concerns the shape of exible shafts or rods in three dimensions, whose position and derivative are constrained at the endpoints, but whose length is allowed to change freely. This problem has a practical application in drill heads made by the customer, Koese Engineering. Two models are presented based on the physical aspects of the system. The first model is more elegant and more widely applicable; the second was developed specifically for the customer's particular situation. Neither system of equations can be solved analytically. A combination of several numerical algorithms is used to compute the shape of a shaft under absolute precision requirements. Finally, the design and development of a software program is presented that allows the customer to quickly enter his data and extract the results.

Item Type: Thesis (Bachelor's Thesis)
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 15 Feb 2018 07:28
Last Modified: 15 Feb 2018 07:28
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/8386

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