The mechanics of a trebuchet using Lagrangian mechanics

Bachelor thesis (2022)

Authors

T.M.A. Levert Applied Sciences

Contributors

B.J. Meulenbroek Mathematical Physics - EEMCS (mentor)
A. F. Otte QN/Otte Lab - AS (mentor)
G.F. Nane Applied Probability - EEMCS (graduation committee member)
J.M. Thijssen QN/Thijssen Group - AS (graduation committee member)
Faculty
Electrical Engineering, Mathematics and Computer Science, Electrical Engineering, Mathematics and Computer Science
Copyright: © 2022 Tim Levert
More Info
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Published Date

07-07-2022

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Abstract

In this report, we have taken a look at three different types of trebuchets: the seesaw, the traction trebuchet or mangonel, and the counterweight trebuchet. We have created models to describe their motion by making use of Lagrangian mechanics and have compared them based on their maximum ranges. Moreover, we have also calculated a lower bound for the dimensions of themain beam needed to prevent it from breaking based on a static state. We have seen that the mangonel and trebuchet improved on the seesaw by increasing the range roughly sixfold which was expected. The maximum range of the trebuchet, however, slightly decreased compared to the mangonel. This was something we did not expect but think is due to the fact that the dimensions of the catapults were not optimised. Lastly, we found that the beam needed to be at least 18.7 cm to prevent it from breaking. However, for the real catapults, the beam would most likely need to be thicker to prevent it from breaking.