This is probably the single best thread I've seen so far on this (excellent) forum. This is AudioScienceReview at its best.
Much appreciated Stuart, thanks a lot. I have many other topics that I can talk about, so I will try to find the time.This is probably the single best thread I've seen so far on this (excellent) forum. This is AudioScienceReview at its best.
Those are beautiful.It's not tricky at all, it just adds to the cost. For example, here is the old Thiel CS 2.3:
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I second that. I would love to see a modern analysis of Olsen’s empirical one.One I like to see are diffractions around the edges of a rectangular speaker.
Just to pile on...Audioholics has measurements of different grilles:
https://www.audioholics.com/loudspeaker-design/grilles
Some are definitely worse than others. I bought the Infinity R-series towers and center and while initially thought the grilles were very cheap (plastic, not wood) I came to think they did so to minimize interference (well, and shipping cost).
Or buy speakers designed and engineered to be used with grills on, which is what I do.
Yes this is the thread Earl Geddes mentioned, the tool Marcel has created there is fantastic. Here is an example of the sort of directivity control that can be achieved. A number of them have been built and measured and when you take out the differences between the different drivers the simulated results are very close to actual.Thanks. I think Geddes mentioned this thread in an interview I saw recently but not sure.
It's not tricky at all, it just adds to the cost. For example, here is the old Thiel CS 2.3:
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Sounds like a good plan, but unless the manufacturer can provide trustworthy proof, you would still need to be able to do test it yourself.
Too many claim transparent grilles today and testing has shown that they are not.
This is great and all but inconsiquential the moment I fire up an MQA track (guaranteed to hear what the producer and/or artist heard at the studio).
sorry I couldnt help myself
Software: COMSOL Multiphysics
Method: Finite Element
Geometry: Realistic 1" tweeter geometry, arbitrary waveguide (5 cm radius, 2 cm depth), 4 screws (0.67 cm diameter, protuding 1.2 mm), in baffle
Mesh: Quadratic Lagrangian elements (6 elements per wavelength @20 kHz)
DOFs: ≈ 262,000
Other: The exact same mesh was used for both cases; with and without screws. Calculation time on laptop around 1 hour per case. This is pure acoustics case, so there is no explicit solid mechanics; instead an acceleration is put on the tweeter surface.
You have my admiration for an excellent and rare contribution of an acoustics simulation to ASR. Very impressive that you are working in acoustics and microacoustics using FEM and BEM.Conclusions -
For this particular case the influence of the screws in fairly minimal, yet it is there. The wavelength even at 20 kHz is 1.7 cm, which is larger than the screws themselves, and so it is to be expected that the sound field will not be affected much. It should be noted that such an analysis should be carried out on a case by case basis, as waveguides (and screws) differ from product to product, and if we get near 1 dB difference it could be relevant.
That is next on the list thenI second that. I would love to see a modern analysis of Olsen’s empirical one.
Thanks, I will have a look. I think that general tweeter geometries, there could be an advantage in starting from analytical work, but then applying shape optimization on top.Yes this is the thread Earl Geddes mentioned, the tool Marcel has created there is fantastic. Here is an example of the sort of directivity control that can be achieved. A number of them have been built and measured and when you take out the differences between the different drivers the simulated results are very close to actual.
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Comsol is a great tool for those with access to it. Ath will generate ABEC BEM scripts. ABEC runs in a demo mode without being able to save the results or a full version for non commercial use can also be had for free by requesting it from the developer R&DTeam.
Shots fired.This is great and all but inconsiquential the moment I fire up an MQA track (guaranteed to hear what the producer and/or artist heard at the studio).
sorry I couldnt help myself
The isoparametric quadratic setup ensures that both geometry and sound field are resolved to second-order. Both the tweeter surface and screw surfaces are resolved with 24(!) elements per wavelength. A convergence study is beyond the scope of this analysis, but for a client I would probably dive a little deeper into certain aspects of this. The same mesh can be used, because I apply internal hard walls on the screws and turn that on and off, respectively. Otherwise the meshes will differ a little, so this is the best that can be done.You have my admiration for an excellent and rare contribution of an acoustics simulation to ASR. Very impressive that you are working in acoustics and microacoustics using FEM and BEM.
The quadratic Lagrangian solution representation within each element presumably means the solution will be third-order accurate in the mesh spacing (element size), so the 6 elements per min. wavelength should be enough to resolve the volumetric acoustics. However, my question is whether you used mesh clustering (local refinement) at the parts of the boundary representing the protrusions of the screw heads. The average element diameter of 2.9mm exceeds the protrusion height of 1.8mm and is about half of the screw-head diameter. If you say the exact same mesh was used for the cases both with and without the screws, I wonder how the presence of the screws is accounted for in the simulation if clustering is not used to resolve the geometric detail. Also, I have not come across this acceleration condition you mention on the tweeter surface. From what I recall, in most codes, one specifies a sinusoidally oscillating (at the specified frequency) normal velocity component (i.e., along the tweeter axis) at the relevant boundary. Without understanding the resolution of the acoustic interaction at the screw-head boundary, and doing a mesh-refinement study, I would lack confidence to say that influence was a 0.5dB or 1dB or 0.25dB deviation in the SPL.