MEC-E1005 - Modelling in Applied Mechanics, Lecture, 24.4.2023-1.6.2023
This course space end date is set to 01.06.2023 Search Courses: MEC-E1005
Topic outline
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Vibration of a structure can be thought of superposition of modes harmonic variation in time with certain frequencies. In engineering work and design of, the lowest frequencies (or even the lowest one) are important as they determine, e.g., the response for external excitation. Singing bowls are designed to vibrate with a certain frequency under excitation.
In the modelling assignment, the aim is to find the effect of geometrical and material parameters to the lowest frequency of a singing bowl. The starting point is a generic expression predicted by dimension analysis. First, a simplified model is used for qualitative understanding. After that, analysis by FEM is used to study the effects of the geometrical parameters defining the shape of the bowl. The predicted lowest frequency is compared with the experimental one.
The outcome is a report that should explain the methods used, compare the results obtained using the three methods, and discuss any possible discrepancies between the methods. The report should be detailed enough to enable a reader with some background in experiments and engineering models to follow the derivations and repeat the steps.
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Mathematica notebook for curved beam analysis, sound analysis of experiment, and FEM analysis by Mathematica
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Mathematica notebook for curved beam analysis, sound analysis of experiment, FEM analysis, and simulation experiment by Mathematica
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Draft of report 2 Assignment
Return the draft of report 2 to get generic feedback (may not be accepted in the present from / likely to be accepted in the present form)
Deadline Mon 22.05 23:55.
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Comments based on the report drafts. Use the comments as a checklist for the final version.