Panel resonance in triangle panels

Like everything with cabinet vibration, it gets complicated fast, and it depends on what assumptions are built into the question.

Given the same material thickness and the same area, an equilateral triangle plate in free vibration (no edge constraints) will have a natural resonance that is a little higher than a square plate in free vibration. But once we restrain the edges with the other cabinet walls, it gets complicated. How thick are the restraining cabinet walls compared to the thickness and surface area of the plate under vibration? it matters. What if the square plate is not square, but rectangular? What is the aspect ratio (length vs width) of the rectangle? It matters. An aspect ratio of 1.6:1.0 is very different than a long thin rectangle such as 4.3:1.0. If the 4.3:1 aspect ratio rectangular plate is well restrained at the edges, I believe it will have a significantly higher resonance than an equilateral triangle of the same area with similar edge restraints. What about a long thin triangle? As I said, it gets complicated fast.

So the youtube video could be true for a specific example.
 
Vibrational analysis ...sorry, this is way beyond me.


------------------------------------------------------------------------------------------------Rick...
 

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