Using two duct silencers in series?

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SUMMARY

Using two duct silencers in series does not guarantee a cumulative sound reduction of 20 dB, even if each silencer individually reduces sound by 10 dB. Real-world factors, such as sound traveling around the silencers and other noise sources, significantly influence the overall effectiveness. In practical applications, such as a noisy machine in an enclosure, additional measures like vibration isolators may be necessary to achieve the desired noise reduction, as demonstrated by a case where sound levels remained unchanged despite adding a second enclosure.

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Consider a straight duct silencer of any sort. If you place two of them in series, how will that affect the sound? If one silencer results in a 10 dB reduction for a specific frequency, will using two result in 20? It just seems like too much of an easy answer so I thought I would check with people here :)
 
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You are correct, it's too much of an easy answer. If there are no other sound travel paths, yes. In the real world, however, things are different because sound also travels around the silencer.

I once worked on a machine that was extremely noisy. With a normal (for that company) noise enclosure the sound was about 105 dB. I said to put the machine on vibration isolators, another engineer said to add a second noise enclosure around the first one. I was new there, he was well connected with management, so they built a second noise enclosure over the first. When they measured the noise level at 105 dB, they called me back. Standing ten feet from the machine, I pointed the meter at the machine and measured 105 dB, pointed the meter away from the machine and measured 105 dB, pointed the meter down toward the floor and measured 107 dB. The noise was going under the noise enclosure through the concrete floor. They put in the vibration isolators and got the machine down to the 80 dB called for in the contract.

If the silencer is improved enough, the primary noise source will be something else. It could be noise radiated from the duct, it could be from the fan inlet or outlet, it could be flow noise after the silencer. On the other hand, if the other noise sources are small enough compared the duct noise, then two 10 dB silencers in series will result in 20 dB reduction.
 
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jrmichler said:
You are correct, it's too much of an easy answer. If there are no other sound travel paths, yes. In the real world, however, things are different because sound also travels around the silencer.

In this case there actually shouldn't be any other path available. The machinery sits in a room which has a wall that also has it's requirements regarding sound transfer. The only open path through the wall is the duct on which I plan to install the silencer(s).
 
I have encountered a vertically oriented hydraulic cylinder that is designed to actuate and slice heavy cabling into sections with a blade. The cylinder is quite small (around 1.5 inches in diameter) and has an equally small stroke. The cylinder is single acting (i.e. it is pressurized from the bottom, and vented to atmosphere with a spring return, roughly 200lbs of force on the spring). The system operates at roughly 2500 psi. Interestingly, the cylinder has a pin that passes through its...

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