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Analysis of a Tourbillon System

Project Type

Class Project for Dynamics II

Date

November 2021

Role

Mechanical Engineer

Location

University of Denver

Team Members

Andrea Francis, Ben Schwartz, Rory Taylor, and Patrick Miller

Goal: the analysis of a Tourbillon mechanism and its timing during operation. In addition, what does the spring constant of a torsional spring need to be in order to make the system's movement correspond to seconds?

Conclusion
From the analysis of the system, the spring constant that most closely brought the system's operational movement to correspond to one second was 10 Nm/rad. This analysis was found this input to yield the closest results to what might work in an actual tourbillon, seen in figure 2 of the results section of this report. While the system overall was incredibly sensitive to differing input c=values, this was deemed reasonable due to the extreme complexity of the system, allowing seemingly minuscule changes to have a large impact on overall results. Despite the required values to be incredibly specific, we have found that the above spring constant most closely mirrors the motion a clock would require.

Lessons:
1. I learned how important organization and naming in coding were. A lot of mistakes and errors could be prevented, as well as, others would be able to provide feedback when the code is explained well.
2. Hand calculations and drawing of different subsystems would decrease the level of difficulty for solving for unknown variables.

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