Cone displacement

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Depends on the resonant frequency and Q and where the two points fall relative to resonance. Far enough below resonance, the diaphragm is stiffness controlled. This means the excursion for a given voltage input is nearly independent of frequency. Above resonance it is mass controlled and you have the 4x per octave increase or decrease. Here's a fun picture ;)
 

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Depends on the resonant frequency and Q and where the two points fall relative to resonance. Far enough below resonance, the diaphragm is stiffness controlled. This means the excursion for a given voltage input is nearly independent of frequency. Above resonance it is mass controlled and you have the 4x per octave increase or decrease. Here's a fun picture ;)

It should be interesting to tune the bass reflex enclosures at the loudspeaker driver FS, no ?
 
Which software do you use please ?

The example is from a Universal (Benson model) excel sheet I wrote 18-20 years ago ;) Not for sale or download. The example was intentional to show the original question is not a very good one, and hopefully generate some questions which can be answered definitively.

I use various versions of this Excel sheet most of the time, but I also use equivalent circuit models I have cooked up in a piece of spice-like software called QUCS. Very useful for rapid development!
 
The example is from a Universal (Benson model) excel sheet I wrote 18-20 years ago ;) Not for sale or download. The example was intentional to show the original question is not a very good one, and hopefully generate some questions which can be answered definitively.

I use various versions of this Excel sheet most of the time, but I also use equivalent circuit models I have cooked up in a piece of spice-like software called QUCS. Very useful for rapid development!

Great tool, you are using mathematical models able to predict loudpeakers excursion since years... i'm perhaps too curious but :
Have you compared the calculation to measurements?
Could you give me a rough approximation of your calculation accuracy versus measurements ?
 
Have you compared the calculation to measurements?
Could you give me a rough approximation of your calculation accuracy versus measurements ?

I have not, but it has been done in the literature. Typically within (often well within) a dB for response shape for something as simple as an undamped sealed box. There are a lot of simplifying assumptions, such as parameters that do not change with frequency or level, but they work fairly well. Drivers are not linear so accuracy will depend on level, and on box losses which are not known beforehand.
 
I have not, but it has been done in the literature. Typically within (often well within) a dB for response shape for something as simple as an undamped sealed box. There are a lot of simplifying assumptions, such as parameters that do not change with frequency or level, but they work fairly well. Drivers are not linear so accuracy will depend on level, and on box losses which are not known beforehand.

Perhaps my brain sometimes sees things more complex than they really are but i was imagining that the cone thickness and weight have a huge influence on the box resonance frequency peak.
I seems to me that only the the losses in the suspension (surround and spider) are taken in acount with the Qms parameters and i don't see how we can calculate accurately the resonnant frequency (with T&S parameters) without making a diference within a thin light paper cone and a thick metallic one.
 
Thanks !
Intuitively i should try to use the mechanical Q factor in order to trace my impedance bell of Xmax Vs mechanical excution... but :dunno:

An externally hosted image should be here but it was not working when we last tested it.


And the story don't involve the loudspeaker alone.

"Depends on the resonant frequency and Q and where the two points fall relative to resonance"

The resonant frequency = resonant frequency of the loudspeaker driver, the box... both ?

Q = total Q
 
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