Formulas for acoustical dampening?

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Discussion Overview

The discussion revolves around the formulas and principles related to acoustical dampening, particularly in the context of isolating sound energy from large motors. Participants explore the application of these formulas in engineering scenarios, specifically regarding the design of elastic isolators and their effects on sound transmission at various frequencies.

Discussion Character

  • Technical explanation
  • Exploratory
  • Debate/contested

Main Points Raised

  • One participant describes their experience with using elastic isolators to dampen sound energy from large motors, noting the importance of pre-deflection and mass in calculating sound dampening effectiveness.
  • The same participant expresses a need for specific formulas related to acoustical dampening for a new project involving a hydraulic trip-hammer, emphasizing the need to avoid dangerous amplification frequencies.
  • Another participant questions whether the formulas in the provided link are derived from the ordinary differential equation (ODE) for a single degree of freedom (DOF) mass-spring model.
  • A later reply mentions that the equations in the link lack the symbol \pi, suggesting potential inaccuracies and advising caution.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the specific formulas for acoustical dampening, and there are differing views on the accuracy of the equations found in the shared link.

Contextual Notes

There is uncertainty regarding the application of the formulas, the assumptions behind the models discussed, and the implications of missing symbols in the equations presented in the link.

Sean Powell
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Formulas for acoustical dampening?

Hello,

A number of years back I worked at an engineering company where we needed to isolate very large, very loud motors from transmitting sound energy into the supporting structure. We did this with a series of elastic isolators that supported the motors and frames. Based on some very simple formulas provided by the isomount fabricators we could calculate the % of sound energy dampened out for a specific frequency if we knew the mass of the motor frame and the amount of pre-deflection of the supports. For obvious reasons dampening out the lower frequencies required larger elastic pre-loads but there was a critical point for each frequency where you could set up a harmonic resonance within the isolators and accidentally get your motor frame bouncing… very bad when it’s a pair of 500hp motors and a 20ft diameter wheel running at 45mph tangential velocity.

Anyway, I have long since misplaced these formulas and don’t necessarily remember their correct application. If someone can recite the formulas or direct me to a web-page with a good explanation I would appreciate it. I now need to build a smaller machine that is essentially a hydraulic trip-hammer but it will have a variable speed setting and I need to assure myself before building it that I won’t have to pass through a dangerous amplification frequency while getting up to working speed.

Thank you,
Sean
 
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Well some more extensive searching eventually led to this web page:

http://www.ribaproductselector.com/Docs/5/22595/external/COL122595.pdf?ac=

I'm posting it here in case someone uses a search engine on these posts so they don't come up dry.

Thanks,
Sean
 
Last edited by a moderator:
I can't say I have anything specific to isolation. The broad, general equations are stuff we tend to work with. I didn't get a chance to look through your link, but I would be interested to know if they are simply results of the ODE for a single DOF mass with a spring model.
 
FredGarvin said:
I didn't get a chance to look through your link, but I would be interested to know if they are simply results of the ODE for a single DOF mass with a spring model.

That's mostly what they are, apart from a few general comments on coupled modes at the end.

FWIW when I view the link, I don't see the symbol \pi in the equations, which makes many of them look wrong. Beware!
 

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