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JPBenowitz
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Suppose I have a cylinder on a fulcrum that is filled half way with a fluid, how would I model the waves in the cylinder if it were put in motion?
chiro said:Hey JPBenowitz.
I don't know much about this, but wouldn't you supply boundary conditions for the edge of the cylinder and also the fulcrum to get the behaviour?
Also with regards to infinitesimal mechanics, if you can make the constraints holonomic then you can deal with the theory that utilizes these constraints.
chiro said:I think its going to depend on the material as well and this depends on how the material absorbs the wave and whether it absorbs it completely or reflects it.
If the medium absorbs the wave then you have one set of conditions and if it reflects it, then you have another set of conditions.
Do you know about the material properties of the cylinder?
The purpose of this type of modeling is to understand and predict the behavior of waves in a cylindrical structure that is supported by a fulcrum. This can have applications in various fields such as engineering, oceanography, and fluid dynamics.
The wave dynamics in this system can be modeled using a combination of mathematical equations and computer simulations. The equations used are based on the principles of fluid mechanics and structural mechanics, and the simulations are run to visualize the behavior of the waves.
There are several factors that can affect the wave dynamics in this system, including the size and shape of the cylinder, the material properties of the cylinder and fulcrum, the angle of the fulcrum, and the properties of the surrounding fluid.
Studying wave dynamics in this system can have practical applications in various fields. For example, understanding the behavior of waves in offshore structures such as oil rigs or wind turbines can help with their design and maintenance. It can also have applications in oceanography for predicting how waves will interact with underwater structures.
Like any modeling approach, there are limitations to modeling wave dynamics in this system. Some of these limitations include the assumptions made in the mathematical equations, the accuracy of the computer simulations, and the simplifications made to the system in order to make it more manageable for analysis.