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Natural Science Forum / Physics / Acoustics / August 2007



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Two, Better Than One?

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Ron - 27 Aug 2007 09:55 GMT
Can somebody here tell me why two piezo discs aren't used to get more
sound out of the unimorph design?

Ron
dvt - 27 Aug 2007 16:22 GMT
> Can somebody here tell me why two piezo discs aren't used to get more
> sound out of the unimorph design?
>
> Ron

If I understand your question, I think it is done sometimes. It's called
a bimorph. Search on that term and see if it answers your question.

Signature

Dave
dvt at psu dot edu

Everyone confesses that exertion which brings out all the powers of body
and mind is the best thing for us; but most people do all they can to
get rid of it, and as a general rule nobody does much more than
circumstances drive them to do. -Harriet Beecher Stowe, abolitionist and
novelist (1811-1896)

Ron - 27 Aug 2007 23:13 GMT
> > Can somebody here tell me why two piezo discs aren't used to get more
> > sound out of the unimorph design?
[quoted text clipped - 13 lines]
> circumstances drive them to do. -Harriet Beecher Stowe, abolitionist and
> novelist (1811-1896)

No, I've known about bimorphs for a long time. They are usually
rectangular and are called "benders" cuz they have a center vane of
brass and are designed to usually be used as strain sensors rather
than acoustical transducers.

On the other hand, some piezo speakers use two very thin piezo plates
bonded to the sides of a piece of brass, but that's not the same thing
as using two p. discs in series bonded to one side of a plate.  I've
never seen it done in the literature, but I never have heard a reason
for why it's *not* being done either. I've seen that kind of
arrangement used in ultrasonic cleaners where two plates are bonded
together with a high tensile bolt with a steel mass in back and an
aluminum mass
in front,  then the whole thing bonded to the metal bottom of the
cleaner-- but once again, that's not  the same as making
a "unimorph" with two (or more) discs.

Ron
dvt - 28 Aug 2007 16:06 GMT
>>> Can somebody here tell me why two piezo discs aren't used to get more
>>> sound out of the unimorph design?
>>> Ron
>> If I understand your question, I think it is done sometimes. It's called
>> a bimorph. Search on that term and see if it answers your question.

>> Everyone confesses that exertion which brings out all the powers of body
>> and mind is the best thing for us; but most people do all they can to
>> get rid of it, and as a general rule nobody does much more than
>> circumstances drive them to do. -Harriet Beecher Stowe, abolitionist and
>> novelist (1811-1896)

> No, I've known about bimorphs for a long time. They are usually
> rectangular and are called "benders" cuz they have a center vane of
[quoted text clipped - 12 lines]
> cleaner-- but once again, that's not  the same as making
> a "unimorph" with two (or more) discs.

I'm afraid I don't understand what you're asking about. Some companies
sell disks with piezo on both sides [1]. But you suggest that both
piezos should be on one side of the disk and connected in series. Are
the piezos in your suggested arrangement stacked atop each other? I
think a picture would be worth the proverbial kwords.

By the way, Ralph Woollett might be a good search term if you're
interested in flexural disks.

http://www.americanpiezo.com/products_services/Bimorph_Sheet.pdf

Signature

Dave
dvt at psu dot edu

Ron - 29 Aug 2007 01:31 GMT
> >>> Can somebody here tell me why two piezo discs aren't used to get more
> >>> sound out of the unimorph design?
[quoted text clipped - 39 lines]
>
> - Show quoted text -

Transducers made with stacks are called Tompilz transducers. They are
most commonly used for low frequency, ultrasonic transducers for use
under water. But those typically use somewhat thicker rings and are
bonded to thicker masses of aluminum.

I can see the design theory behind unimorphs; they produce a good
amount of sound for comparatively little power. But maybe I'm dense,
cuz I don't understand why only one disc is used when other transducer
designs use two or more. While it's very difficult to make one by
hand, it wouldn't be a lot of trouble for a manufacture to make such a
design.

Ron
dvt - 29 Aug 2007 14:14 GMT
 > Transducers made with stacks are called Tompilz transducers. They are
> most commonly used for low frequency, ultrasonic transducers for use
> under water. But those typically use somewhat thicker rings and are
[quoted text clipped - 6 lines]
> hand, it wouldn't be a lot of trouble for a manufacture to make such a
> design.

I /think/ I understand your question now.

Replacing one large piezoceramic piece with two half-size pieces does
not typically increase power output. If you replace one piezoceramic
plate with two stacked plates, each half the thickness of the original,
and you connect them in parallel, the electrical impedance changes. So
for the same output, you need half as much voltage but twice as much
current. There is no improvement in efficiency. The reduced impedance
might be useful for matching to your electronics, though.

If you connect these two thin layers in series, there is no change in
the transducer.

The above discussion assumes that the joint between the layers is ideal.
As Angelo mentioned, the joint is rarely ideal and increasing the number
of layers typically reduces efficiency slightly. It's also more
expensive, which might be the reason that unimorphs use only one layer.
The above discussion is applicable to unimorphs, bimorphs, and tonpilz
transducers alike.

Signature

Dave
dvt at psu dot edu

Everyone confesses that exertion which brings out all the powers of body
and mind is the best thing for us; but most people do all they can to
get rid of it, and as a general rule nobody does much more than
circumstances drive them to do. -Harriet Beecher Stowe, abolitionist and
novelist (1811-1896)

Ron - 29 Aug 2007 23:21 GMT
>   > Transducers made with stacks are called Tompilz transducers. They are
>
[quoted text clipped - 38 lines]
> circumstances drive them to do. -Harriet Beecher Stowe, abolitionist and
> novelist (1811-1896)

Hi, Dave;

With stacks, electrical concerns take second place to power output in
terms of force. Thanks, now I answered my own question: two or more
discs aren't used becuse while they produce more *force,* they don't
produce any more deflection, hence no greater sound output. Bummer.

The way my tiny brain is hard-wired, I always equate force with sound
intensity, but the universe has other ideas. You can have greater
force, but not a greater degree of deflection. It's not only for
electrical reasons that the piezo elements in unimorphs are very,
very, thin but becauce they produce a much highr degree of deflection
than a thicker disc.

Ron
student - 30 Aug 2007 01:53 GMT

> With stacks, electrical concerns take second place to power output in
> terms of force. Thanks, now I answered my own question: two or more
> discs aren't used becuse while they produce more *force,* they don't
> produce any more deflection, hence no greater sound output. Bummer.

Sorry to burst your bubble, but for a unimorph construction, force and
deflection are proportional.  Consequently, for a unimorph construction,
if a piezo disc produces more force, it also produces more deflection.  
Furthermore, for a unimorph construction, if the total thickness of
stacked piezo discs is constant, the relationship between force and
displacement will be the same, irespective of the number of discs in the
stack.


> The way my tiny brain is hard-wired, I always equate force with sound
> intensity, but the universe has other ideas. You can have greater
> force, but not a greater degree of deflection.

False.

> It's not only for
> electrical reasons that the piezo elements in unimorphs are very,
> very, thin but becauce they produce a much highr degree of deflection
> than a thicker disc.

It's a bit more complicated than that because the deflection of a
unimorph depends on the force produced by the radial expansion of the
piezo element as well as on the bending stiffness of the metal disc to
which it is bonded.  A very thin piezo disc which is bonded to a thick
metal disc will produce very little deflection.  Additionally, there is
the issue of resonant frequency which depends on the total thickness of
the piezo disc and the metal disc to which it is bonded.
Ron - 30 Aug 2007 07:28 GMT
> > With stacks, electrical concerns take second place to power output in
> > terms of force. Thanks, now I answered my own question: two or more
[quoted text clipped - 8 lines]
> displacement will be the same, irespective of the number of discs in the
> stack.

I have dyslexia, so I may have gotten it backwards, but that's not
what I've read in all those treatises on transducers. Point me towards
something that agrees with what you said and I'll be the first to
admit I got it wrong.  :-)

Ron
angelo Campanella - 28 Aug 2007 00:40 GMT
> Can somebody here tell me why two piezo discs aren't used to get more
> sound out of the unimorph design?

    These transducers are not deployed like a common loudspeaker. Rather,
they are ditven at their resonance frequency. The unimorph eigenmode is
like a 2D xylophone mode where the node (nil motion) is a circle of
about 80% diameter of the total wafer. Sometimes they are mounted
(constrained) at their edge for a slightky lower frequency. They are
usually used as "beepers" from 1 kHz through maybe 3.5 kHz.

    Thicker wafers will have a different resonance frequency. And thicker
plates often have a complex array of resonances not harmonically
related. Check a text book on the vibration of bars and plates.

    These usually can be bought in any thickness desired since they are all
cast from powder stock.

    Also, when joining two discs, the quality of the bond is extremely
important. Any dissipation will ruin the efficiency. Recall that
constrained layer damping uses identical geometry and analogous
materials. It's a crap-shoot. Buy some and try it. Then tell us the
results....

        Angelo Campanella
Ron - 28 Aug 2007 11:05 GMT
>. It's a crap-shoot. Buy some and try it. Then tell us the
> results....

I had serously thought about it, and bought a dozen thin discs but I
couldn't manage to connect them right. As you say, try it: it's
extremely dffcult for some schmuck in his bedroom to manufacture
several perfectly  round brass discs with a suitable tab for making
the connections and gluing them onto a fragile piece of ceramic  nor
is it easy to knock off a 1" diameter brass disc without a punch and
other equipment an ocassional hobbyist doesn't usually have. This is
why vry few people roll their own piezo speakers and  things.

Ron
angelo Campanella - 28 Aug 2007 15:58 GMT
>>. It's a crap-shoot. Buy some and try it. Then tell us the
>>results....
[quoted text clipped - 6 lines]
> other equipment an ocassional hobbyist doesn't usually have. This is
> why vry few people roll their own piezo speakers and  things.

    Many decades ago, My masters thesis project was to rebuild a St. Claire
vibrator, a 6" long 4" diameter give or take, solid aluminum bar that
resonated at 15 kHz, driven by a kilowatt electroniic amplifier. Well, I
managed to do that OK. But I was also committed to make a higher
frequency unit, half as long, to run at 30 kHz. Well, the suspension, a
"girdle" at mid-point. was difficult to do at 15 kHz; I had to freeze
the bar in dry ice and and roast the girdle before quick-as-a-bunny
assembly (the crap shoot).

    Needless to day I went through serval girdles, many tries, managing
some data at the anomolous (then) modes at 35 kHz and 60 kHz (75ish also
I think), but that suspesion usually blew before I could get much high
frequency data. The "rub" was that the girdle had to precisely sit on a
raised equatorial rim, ostensibly on a definite line that was very
thin...dings and misalignment, perhaps uneven machining by others as I
had to order new girdles on several occasions, all could cause friction
which destroyed the Q. Net results are shown in my 1980 JASA article on
same.

    The message is that acoustic transducers are unique devices that are
not to be trivialized. One could say that fabrication of musical
instruments and these various transducers have a lot in common; it's an
art.

        Angelo Campanella
Ron - 29 Aug 2007 00:56 GMT
> >>. It's a crap-shoot. Buy some and try it. Then tell us the
> >>results....
[quoted text clipped - 11 lines]
> instruments and these various transducers have a lot in common; it's an
> art.

I'm working on a Vulcan harp and finding out the hard way howmuch
instrument making is more of an art than a science. But isn't always
so much easier to manufacture something big than something small and
thin? ;-)

Ron
Salmon Egg - 28 Aug 2007 08:26 GMT
On 8/27/07 1:55 AM, in article
1188204955.969257.255910@r34g2000hsd.googlegroups.com, "Ron" <ryon@quik.com>
wrote:

> Can somebody here tell me why two piezo discs aren't used to get more
> sound out of the unimorph design?

Sometimes they are.

Bill
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