Limb design. reply

BorderBows

New member
Ive been reading a thread that im unable to contribute to.
So here are our thoughts on it.

Limb designs are very complicated relationships in former shape, core taper, and stored energy.
things to consider are also Limb mass, and the distritbution of mass, as well as the shapes of the limb for regulations etc.


Some of the concepts made, that id like to pick up on are
"limbs that bend at the fadeout, have a negative aspect in thier design"

"The use of extreme recurves means your carring spare mass in the limbs."


so lets try and move this into an area where the engineer becomes a bowyer.
Engineers tend to see removing mass as the key, as all works, such as Klopsteg, and Kooi, all say that limb mass is detrimental to bow performance.
This it true to a certain extent. and one most whippy tipped bows fall into.
This concept is nothing new. its covered in the Bowyers Bible series of books.
so what are the three design concepts.

Whippy tipped bowsthe centre of mass of the limb is moved by reducing the mass of the outer parts of the limb. meaning a higher concentration of the movement is at the limbs outer reaches.
Whippy tipped bows tend to have short Working limbs by nature (not really defined by fadeout position as the first part of the limb can be so static, it could be called riser), but even if the limb is long, the tip is doing all the work, so the limb itself is might look long, but the working part is actually short. so in essence its a short limb.
Whippy tipped bows tend to stack, resulting in the same poor energy storeage problems of short limbs

There are two ways of making a bow whippy tipped. Making the first portion of the limb after the fade out so stiff, its not really part of the limb, or make the outer part so weak, it has no mass, there for over works

stiff outer limbs, Stiff outer limbs are those that dont bend in the outer reaches of the limb. This means that the limb stores better energy as the limb will be smooth (long lever, due to bending closer to the fadeout. recurve bows with Static recurves, have this, as well as alot of Hybrid longbows. (im going to stick with rest of world terminology and not british, a longbow is the british flatbow)
the down side of stiff outer limbs, is that they carry more mass, and while thats a problem it also moves the centre of gravity of the working limb moves outboard. which is the engineers perspective. (its almost all the engineers that see this as a problem)

Full working limbs tend to not exhibit either of these pros or cons. but they generate a very slick look. what they have done though is distribute the stresses evenly along the limb. This isnt that clean and simple with recurves though.

So what causes the Stack/smoothness. The problem of stack has nothing to do with materials. if anyone ever says its a carbon limb and its the carbon that makes it smooth, doesnt know what they are talking about. or if they blame the core. again, waffle. Simply put, the smoothness is all to do with angles, the limb to string angle. and short limbs open up this angle quickly. and this generates stack. Long limbs, or limbs that have long levers such as the Hybrids, or even designs like the ACS longbow protect the limb/string angle and deliver a smooth bow. which in turn stores good energy.

So, the flip side to what has been said here is a relationship of 3 things. Smoothness, Limb mass and Limb shape. We havent covered Preload

You can make a bow smooth with whippy tipped limbs, for sure. BUT there is a massive downside. if you slope the limbs back far enough (deflexed) then they dont need to be pulled back as far, defending the string angles, but the down side is VERY poor preload.

The shape of the limb unstrung, will determin the DFC, as much as the width or taper.
This point is HUGE in what has been said in the other thread.

The shape of the limb before its strung impacts its final DFC.

So if you look at DFCs, you have preload, and Smoothness.
ILF limbs really help here.
The inflection point of a DFC. the point where the graph goes from preload (bulging outwards) to stack, Bulging inwards.
if you wind limbs in, you increase prelaod, but you also pull the recurve round a bit, reducing the recurve size. this will shorten the inflection point in the DFC making the limb stack more. Another way to say this is with a ILF longbow, you will end up with a more aggressive angle of limb to string at BH, again increasing preload, and decreasing smoothness.

so if stored energy = a comprmise in Smoothness vs preload, then the games of whippy tipped vs Straight limbs really play ball.

You cant simply keep increasing preload without playing with other aspects of the limb.
So far, ive not mentioned bow performance being about core taper. Because taper is a small game changer in comparison to limb profile.

Lets explore that idea. If you increase the taper, you make the whippy tipped. if you bend that tip forward, you preload that section more. gaining stiffness. so former shape and core taper are related. and not a single aspect of the design.
on a petty note. i saw an "archer" comenting that he got his "bowyer" friend, put in a custom taper for him... i did laugh. because you cant put a random taper on a former not made for it. the two are related, based on the bowyers experience and intended design. that aside. lets continue.

Limb mass, Limb mass is a dictator to limb length.
if the limbs were made of lead, as in HEAVY, then short limbs would prevail. you simply wouldnt want a heavy limb like that to have lots of length.
on the flip side, if limbs were made of Air, then the length would have no negative down side. so they would all be really long.
While limbs were made of Glass fiber, you have a compromise to find.
how long will the limb be, and how much of a working tip will you choose.
but the fun comes in when you use a full carbon limb. not a carbon limb with glass in it. Please note, Not all limbs branded as carbon are equal. THIS IS IMPORTANT here.

Carbon limbs can be a third lighter in mass than glass limbs. and this is significant.
the tip mass can be nearly half that of a glass limb.

So this starts to change things. as carrying extra length has less down side than you would expect.


What is important to Border Archer here, as our product was lifted in the other thread, is the term evolution and advancement.

Limbs dont have to be thicker to be more torsioanlly stable. and this is a new thing that started with the XP10 limb in 1999.

here goes.

with all this being said, we are of the opinion, that efficency is a bit of a black whole in bow design that leads the bowyer into whippy tipped designs.
its like being a King of nothing, vs master of alot.
High efficency with low stored energy is limited by design. King of nothing. supreme KING. 100% of nothing is still nothing.
Taking a hit on efficency for huge stored energy will deliver better preformance, Master of alot.

with Carbon though, its leading you into two areas of strength. you can sacrifice efficency, by way of long working limbs, and excess mass, BUT and the HUGE BUT, is carbon doesnt come with the weight penalty.
Excess limb volume doesnt mean excess limb mass. since the materials weigh so little, unlike glass. unlike Klopstegs work on turkish flight bows.

So, as bowyers set in our ways, we have had to evolve with the materials shown infront of us.
we have ran with the idea of short working limbs, and found it to be a dead end.

What has happend, the hex series of limbs has been our playground. New materials new concepts.



So with all this considered, what has been happeneing in our thought processes.

We have developed a techneque of making a bow too smooth.
this ox-moron of design has become apparent, as we have progressed.
The hex4 was a conventional limb, turning into a hex limbs. Smoothness explored

The hex5, was an overstep of the hex program as viewed conventionally, long limb working near the fadeout, delivering smoothness, and our new found recurve technoloies showing us what the average archer expects of a limb, indicating that we had an excess of smoothness, the two combined to create the first problem. The MK1 limbs were also a step too far, as stated above, we also relaxed the preload to deliver even more smoothness. This correlates with your findings.
The MKII Hex5s we shortened the limb, and increased preload. this was the first stages of our eyes being open.
We discovered full control of the smothness in a recurve limb.
Now we realised, we needed to increase the compound type preload.
this exagerates the smoothness.

With this idea. we started reducing the "long limb effect" of working near the fadeouts, and the stiffness of the recurve. moving towards a working recurve again.

and here sits the Hex6 and Hex6 BB2.

then we step into the hex7.

This combines all this understanding of working vs static recurve tecnology, and the spreading of the bend over the limb.

as you can see your investigations are looking at 2008 technology where we opened pandoras box and saw into limb design what i feel has never been seen before.

Lateral stability beyond anything seen before.

Combinations of Holistic bow design, from the engineers perspective vs a bowyers eye, combining everything in the view to improoving feel through the clicker, ease of expansion into propper back tension, and better cast.

the limbs mass is 150grams per limb, or about 50grams on the tip, unlike glass and glass carbon limbs which are 210 grams or 75grams on the tip.
the flip side is also, the extra curl in the limb reduces the size of the arc scribed during closure changing the centre of mass, and wind resistance, as well as providing more support for the string through its travels.

the energy stored has changed profoundly too. in terms of SE/PDF. conventional designs are sitting at 0.9 at 28, while we are looking at 1.2se/pdf at 28".

in short, the coments id like to adress above mentioned in the other thread are.

if two limbs are of equal length, having the string wrapped round the recurve is a redundant concept, as mass is mass, and equal in both designs. moving it unwrapped is the same as moving it wrapped.
and the negative aspect of the bows design bending at the fadeout is a leverage advantage in gaining smoothness.
the fastest bows in the world are NOT whippy tipped. they are ones that store the best energy.
examples of this are the ACS longbow, the Centaur Longbow, and our Longbows. (all long limbs)

and the fastest recurves ever produced, all look at stored energy as the main remit, and not at mass reduction as the main game.
granted to be the fastest, you need both mass reduction and stored energy.
all the longbows mentioned are vastly carbon powered if not all carbon powered.

hope this helps add to the confusion of bow design, as it is hellishly complex.

more descriptive text on this topic is in the bowyers bible Vol 1 2 and 3.
 

AndyW

Well-known member
BorderBows, I know it's a bit off topic but have "recurve" limbs ever been tried with distinct flex zones such that: you need to pull the limb tip to within a few inches of full draw and then have a second "weak point/pivot" distinctly come in to play at higher poundage (by means of limb thinning further down towards the riser)? I'm thinking this would give less stack while allowing the tips to be fully opened up whilst being pre accelerated. I guess it's been done but wondered what's the downside of taking it to this extreme - I think Oneidas work a bit like this.
If it's a daft question - sorry.
 

Darth Tom

Member
Sounds a bit like the Greenhorn Ellipse limbs of the early 2000's. They had a flat section in the middle of the limb (so you had an early bit of curve near the fadeout, then a flat section, then the recurve). I tried some once, they were quite odd. http://i744.photobucket.com/albums/xx81/Thorvald73/Archery/GreenhornEllipse.jpg

I don't know whether this is necessarily true but I feel like the "corners" in the Greenhorn limb would either be weaker or become stress hotspots. Probably possible to engineer a way around that.

In light of the whole column loading thing, I suspect this is all to do with what the force down the string "sees" as the string angle changes and the limb bends. By merging preload and a big recurve you could probably get to the point where the limb actually lets off when heading into full draw, at least for a short while. Question is, would that be a good thing?

Pro: It would allow archers to get more energy into the arrow while needing to control less weight at full draw. The direction competitive recurve is going with 50+lbs is going to lead to injuries and doping, this would be a way to mitigate that. We know from compound that pulling high poundage early in the draw isn't a problem, the hard part is controlling the poundage through the clicker. I happily shoot a 59lb compound, but I'm looking to buy some mid-30lb recurve limbs...

Con: These designs would probably put a lot of limb ahead of where the string unwraps; that means torsional resistance becomes more important. So laminate design and quality becomes critical. Adding preload might require a bit of riser redesign, so you might see companies moving away from ILF. Not necessarily a problem but it could be a different world to what we're used to.

I'd suggest the cons look like engineering problems, while the pros are things archers (especially average archers) could benefit from. Nice idea AndyW!
 

BorderBows

New member
BorderBows, I know it's a bit off topic but have "recurve" limbs ever been tried with distinct flex zones such that: you need to pull the limb tip to within a few inches of full draw and then have a second "weak point/pivot" distinctly come in to play at higher poundage (by means of limb thinning further down towards the riser)? I'm thinking this would give less stack while allowing the tips to be fully opened up whilst being pre accelerated. I guess it's been done but wondered what's the downside of taking it to this extreme - I think Oneidas work a bit like this.
If it's a daft question - sorry.
this might help

https://www.facebook.com/2650968268...096826849079/2384260994932641/?type=3&theater

(you dont need to be a FB user to read the blurb next to the picture)
 

blakey

Active member
BorderBows, I know it's a bit off topic but have "recurve" limbs ever been tried with distinct flex zones such that: you need to pull the limb tip to within a few inches of full draw and then have a second "weak point/pivot" distinctly come in to play at higher poundage (by means of limb thinning further down towards the riser)? I'm thinking this would give less stack while allowing the tips to be fully opened up whilst being pre accelerated. I guess it's been done but wondered what's the downside of taking it to this extreme - I think Oneidas work a bit like this.
If it's a daft question - sorry.
I used to shoot an Oneida. The recurved tips are cast/formed like that and do not bend or flex. All the energy comes from the bending of the short power boards between the riser and the recurves. So in effect it's a very short working limb. I would assume though that the fixed recurve would give additional leverage, in the same way that a spear chucker (woomera) does. :)
 

blakey

Active member
Always like listening to the Sids, even though I cannot claim to understand a lot of it. I tend to follow Dr. Park's proclamations down here too. I understand him even less. The obvious thing that stands out for an amateur like me though, is that results speak for themselves. I have shot dozens of different limbs over the years, and the Hex 7s are by far the fastest and the flattest. I can tell that by their cast. It's what we'd call empirical evidence in the old days. If the DFCs and whatnots do not show that Hex 7s are superior in efficiency and cast, then there is obviously something wrong with the modelling. Enough said. :)
 

BorderBows

New member
Always like listening to the Sids, even though I cannot claim to understand a lot of it. I tend to follow Dr. Park's proclamations down here too. I understand him even less. The obvious thing that stands out for an amateur like me though, is that results speak for themselves. I have shot dozens of different limbs over the years, and the Hex 7s are by far the fastest and the flattest. I can tell that by their cast. It's what we'd call empirical evidence in the old days. If the DFCs and whatnots do not show that Hex 7s are superior in efficiency and cast, then there is obviously something wrong with the modelling. Enough said. :)
I wish the Admins would release my post on the other forum. i posted it some 24 hours ago.

and if i say anything that you would like re-explained in a different way, i will do my best. if it feels like a silly question, fire it to me by PM if you dont want it public...
im not here to judge others. as there are millions of terms in other industries that would leave me in the absolute dark.

then there is the problem of limited comunication over txt. so feel free

- - - Updated - - -

I used to shoot an Oneida. The recurved tips are cast/formed like that and do not bend or flex. All the energy comes from the bending of the short power boards between the riser and the recurves. So in effect it's a very short working limb. I would assume though that the fixed recurve would give additional leverage, in the same way that a spear chucker (woomera) does. :)
yes it does, but as stated, to gain the stiffness you gain mass.
 

blakey

Active member
I wish the Admins would release my post on the other forum. i posted it some 24 hours ago.

and if i say anything that you would like re-explained in a different way, i will do my best. if it feels like a silly question, fire it to me by PM if you dont want it public...
im not here to judge others. as there are millions of terms in other industries that would leave me in the absolute dark.

then there is the problem of limited comunication over txt. so feel free

- - - Updated - - -



yes it does, but as stated, to gain the stiffness you gain mass.
Thanks Sid. I've read your limb design reply a few times now. I'm not sure of all of it, but it seems the main difference with the James Park modelling is the presumed effect of excess limb mass. I'm assuming that the extra mass of the extreme curve is minimal, and in case gives a greater preload which counteracts any perceived mass weight gain. I haven't read Klopsteg's work on Turkish bows, and probably wouldn't be able to comprehend if I did, but I have always been a great admirer of the Turkish design of the invented C, which is essentially turned inside out when strung. It seems obvious that this has massive preload and is exponentially more efficient than a straight laid bow.
I'm interested in your comments about the fastest bows in the world. I thought they were those shooting Hex 7s, are you saying the fastest bows are longbows?
Keep on pushing the boundaries, have a great year. Cheers :)
 

BorderBows

New member
Thanks Sid. I've read your limb design reply a few times now. I'm not sure of all of it, but it seems the main difference with the James Park modelling is the presumed effect of excess limb mass. I'm assuming that the extra mass of the extreme curve is minimal, and in case gives a greater preload which counteracts any perceived mass weight gain. I haven't read Klopsteg's work on Turkish bows, and probably wouldn't be able to comprehend if I did, but I have always been a great admirer of the Turkish design of the invented C, which is essentially turned inside out when strung. It seems obvious that this has massive preload and is exponentially more efficient than a straight laid bow.
I'm interested in your comments about the fastest bows in the world. I thought they were those shooting Hex 7s, are you saying the fastest bows are longbows?
Keep on pushing the boundaries, have a great year. Cheers :)
there is no way a longbow can store the energy a Super recurve can.

in that case it wont be able to keep up.

i have a series of replies that are not being released by the admins over there.

with regards to parrallel cores in longbows... here was our reply.

its possible to get a bow to bend how you want it to bend by use of former shape. you can preload some areas and not others to get it to work.
But as Dr Park coments, tapers also work, so a combination of the two delivers the best results.

We tapered the Bow glass on the Hex3 limb as a means of moving mass. here is the reason why.
if you work out the relationships between core mass and laminate mass, you can also create a relationship between adding 0.001" of glass, and seeing how much draw weight the limb puts on. you can then see how much core you can remove. to get the draw weight back to the original. and what you will find is that if there is not enough composit, adding a little, means you remove more mass in core. while at the other end of the spectrum, you can have an over built limb in terms of composits. meaning, adding core and removing composits gives you a lighter limb.
If you take the likes of HH longbows, with thier deep cores, you could create a lighter limb, by adding 0.005" to the glass, but probably removing 0.1 off the core size to give the same draw weight. giving you a better composit to core ratio. and a resulting limb mass.
if you think this ratio can be addressed along the entire length of the limb, since the limbs core taper changes the ratio along its length.
We looked into this with the hex3 back in 2002.

what carbon does, is it changes this relationship.
the ratio is dependent on the strength of the laminate, vs the mass of the laminate. how much core can you remove and how much composit do you need to suppliment it with to get the draw weight.


and with regards to super recurves carrying excess mass:

if two limbs have 17" of working limb. ad one is fully working, the other ties up alot of limb length in string wrap, then the latter will store good energy. but as you say, carries "excess mass"

if the two limbs are the same length, then an assumed equal mass means they both move the same amount of material, your coment about them carrying excess mass, cant be made, since the mass is equal, but the stored energy which isnt attainable in one design, cant be achieved without the string wrap. so it cant be an excess, and its not more than other designs.
 

BorderBows

New member
I dont know the details of Dr Parks stress model, but the stress observation is from the data given doesnt look at recurve length. the standard recurve is 3" of string wrap meaning a very low lever length. so any second bending moment will be limited.

When you have 7" of string wrap, the bending moment will be at the root of the second lever. so the stresses are very complicated. Without the string wrap value, (not given from what i can see) then you wont know where the second bending moment starts to take effect or to what scale!
you cant coment on stress without knowing the profile of the limb.
 

BorderBows

New member
which is why observations about "likeing a design" without knowing the details as to where its going, become subjective, and this is why im keen to reply to the observations given. as they are not complete. IMO
 

Darth Tom

Member
Sorry if this one is a bit off topic but it reminded me of a longbow design article I read once. The comment was regarding traditional D-section versus a triangular or even removing material to make a concave shape on each side of a central point in the belly of the bow. As I recall the conclusion was that it was a way of getting increased speed but at the expense of durability and possibly shootability. I wonder whether modern laminates could make the design viable?

There wasn't any comment on bow shape as I recall, just cross-section. Also, I don't remember who it referred to but I think someone well known had experimented with the design.
 
D

Deleted member 7654

Guest
The problem with limb design is people want it simplified and understandable... when in reality it is neither!
Stress modelling and CAD stuff is only a tool. Maths isn't reality... it's only an attempt to describe real behaviour. Bottom line is you have to try it in practice, and all the CAD in the world is worth zip when you are working with a twisted knotty stave.
Del :)
BTW. V interesting thread, shame my maths/physics isn't up to it. Mind I'm good at visualising stuff.
 

BorderBows

New member
The problem with limb design is people want it simplified and understandable... when in reality it is neither!
Stress modelling and CAD stuff is only a tool. Maths isn't reality... it's only an attempt to describe real behaviour. Bottom line is you have to try it in practice, and all the CAD in the world is worth zip when you are working with a twisted knotty stave.
Del :)
BTW. V interesting thread, shame my maths/physics isn't up to it. Mind I'm good at visualising stuff.
The original thread is over on another forum, that untill today ive not been able to reply to. Hence the resason why its a little disjointed.


To be honest, in most cases your best to make the dam thiing in the first place. then stress test it to bits afterwrds.
because you also have to consider, stability.

Most bows that are built for HUGE preload, tend to be vertically like absolute spagetti.

so you need to consider ALOT when looking at a bows design, and looking at stress as a final deciding factor is like looking at driving but only considering how much fuel you have.
you still need to make it, then make it stable, etc etc etc.
 

BorderBows

New member
Sorry if this one is a bit off topic but it reminded me of a longbow design article I read once. The comment was regarding traditional D-section versus a triangular or even removing material to make a concave shape on each side of a central point in the belly of the bow. As I recall the conclusion was that it was a way of getting increased speed but at the expense of durability and possibly shootability. I wonder whether modern laminates could make the design viable?

There wasn't any comment on bow shape as I recall, just cross-section. Also, I don't remember who it referred to but I think someone well known had experimented with the design.
you need to read the bowyers bibles. Vol1 2 and 3.

they tell you what you need to know.

but in short in a limb you have three main stresses.
compression, tension and sheer.
sheer us up the nutral axis.
you also have a bit of compression between the laminates.
the core needs to withstand the back to belly compression, as well as the sheer stress.
the laminates need to withstand the compression and tenson.
so if you had a triangular cross section, i assume peak in the belly, how do you handle compression?

laminated wooden bows are just the same, compression tension sheer....

I beams, have a top and bottom.... and a vertical (core) to keep the two other parts appart...
 

blakey

Active member
there is no way a longbow can store the energy a Super recurve can.

in that case it wont be able to keep up.
Hi Sid, that's what I assumed, but in this quote from your first post in this thread you say: "the fastest bows in the world ..... are the ones that store the best energy. Examples of this are the ACS longbow, the Centaur Longbow, and our longbows."
So I was wondering whether I was missing something? Obviously not. :)
 
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