Proper Parametric Involute Bevel Gear Modeling (SW tutorial)
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- Опубликовано: 20 авг 2024
- Yo,
I've not been able to find any straightforward ressource about involute bevel gear modeling. So I went take a look at my engineering handbooks and found the equations, made a model on solidworks under Tregold's approximation (which suits perfectly any usual gear modeling) and made a little test assembly. The gears mate perfectly and all the "reasonable" gear combinations work flawlessly (you can make the model crash if you put some fancy parameters of course, but it's pretty stable). I've decided to make a video tutorial for any person who's interested in designing their own bevel gears (solidworks tool box ones are not involute and limited to 90° shaft angle only).
Download solidwoks model : drive.google.c...
Download gear sheet calculator : drive.google.c...
This is a great mode thank you very much for posting the video and the links. For smaller gears (Eg. Dp=6, z=16 ) change the unlinked "2" dimension created at 2:35. to 0.5 and it works well.
Yes, I forgot to say that, thanks for the tip
Thanks for the tutorial and the files. For those who have issues with the movement of the assembly, try to fix and unfix the floating gear after applying the constraints, it worked for me.
2019 and Bro...you save my life..cheer
Thank you very much for making this tutorial! I have wanted to do this for quite some time now and it's great to finally see how to do it.
Best bevel gear tutorial by far, thanks!
I find those gear movements super satisfying lmao.
Great Work!
Note to others, you may have to juggle some dimensions outside of the excel file like tooth length to get it to generate.
Good starting point, however the scope of the change you can inflict on the parameters is quite limited. The model cant handle gears with more than 40 teeth (when the root diameter passes the base diameter) and the module cant be brought lower than 1 (higher than 1 given your definition of the module, you have it inverted for some reason). Great effort non the less and again an excellent base for further improvements.
Thank you very much for this tutorial, and for sharing the models--very well done. -Bob
Thanks, you're welcome !
- Greenlee
Very nice tutorial ! Thank you very much for this, it helped me a lot !
Very helpful, thanks a lot!
Thank you very much for making this tutorial🙂👍
Thank you for your work
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s'il vous plaît 😅
you're awesome! thank you for this tutorial!
Nice tutorial. I'm checking it because I'm trying to make a bevel gear. Unlike you, I placed a squetch with the involute on a plane parallal to the pitch cone's base, then used "convert entities" to "place" that sketch on a tangent plane to the other cone. I'll try your solutions.
On a side note, are you planning to make more tutorials like these? An internal spur gear tutorial would be very nice. Apparently, you can't just punch a hole using an external spur gear to make an internal one...
Thank you so much for making this tutorial!!!!
Hello sir your video is still helping in 2023 but my question is . When i was entering equation in manager. The output from addendum angle to bottom one is not matching as yours. Note that i am using exactly same equation as yours but getting defferent results. Any help would be appreciated. Thanks
thank you! very nice and good job
Can anyone pls suggest me where I can learn these parameters and equations to be able to model a gear like this. I'm a beginner
great tutorial. could you please do a tutorial on hypoid gear as well.
Maestro Thank you
YOU ARE THE MAN!!!!!!!!!
The dbv and dfv aren’t staying where root should be when I go big with 47in Pitch dia and 66 teeth. And the pinion has 10 teeth. Trying t figure the equations.
Will you try to teach to draw the spiral bevel gears？
Great tutorial.
Isn't there a slow tutorial? That can be followed very quickly, how can you imitate that if the speed is fast
Can you please sent me the datasheet and solid model, it is inaccessible over drive. thanks
when i change the pitch angle to 45 degree keeeping all other values unchanged it gives me an error with the tooth profile sketch. pls help if possible. :)
This is a really awesome tutorial. Unfortunately I can't figure out how to make it work since Solidworks 2011 doesn't allow equations for the start/end parameters of an equation driven curve. If anyone has figured out a way to make this work in Solidworks 2011, please respond to this comment. Thank you Muzkaw for an amazing tutorial.
I've figured it out, how to make it work in Solidworks 2011. I'd actually made an error in the equation driven curve. It's really hard to see the equation in the RUclips video, even at 1080p. Once I corrected the equation, I was able to produce a working gear set. However, the assembly of the two gears results in a really jerky gear meshing in Solidworks 2011. I tried the same exact method in Solidworks 2017 and the gear meshing was smooth. Thanks again Muzkaw!
Thanks again for this awesome tutorial. I used these bevel gears a lot in my project: ruclips.net/video/jdx2YDzmZCk/видео.html
is there any way you can create the smaller head without excel? i was able to download the first gear, but i’m not too sure how to get the smaller gear that’s on top onto solid works. if anyone has a solution or a video on it i’d appreciate it. thanks !
Hi, Amazing work! Can you tell me where you studied from to make this work?
Thank you for this video. I want to know about pitch angle calculations.
delta1 = tan^-1(sinSigma/((z2/z1)+cosSigma)) , delta2 =Sigma-delta1. Where, Sigma = shaft angle, z= number of teeth, delta=pitch angle.
Can you explain the purpose of the unlinked dimension "2mm" at 2:37. Why is this not parametrically driven and where does it derive from?
very helpfull tutorial , but I have a question about , why did you connect the involute curve to the coincident poin to made it darker sketch ? I guess it's not correct , it's a little mistake you need to solve , but after all its an incredible tutorial ever found on the web , congratulations for you achivement
Thanks.....Really helpful
Any way to do this in Fusion 360 with the various undefined variables. e.g. "tha", "atn", etc?
Do those refer to libraries already in Solidworks? Fusion 360 won't accept them as parameters.
Thank you for this video. If I make the cut follow a curved path that is a spiral projected on a pitch cone. will this potentially make a spiral bevel gear?
Addendum angle and dedendum angle formula could not be found online. Can you send me the link to find that formula to learn? Thank you very much.
Can somebody help me make a micro bevel gear?? With 2-3 cm outer dia...
Hi its calculator/model still on drive? I would love to try make gearing omw
Hi there, great tutorial ! I don't know if you're still active but I really need help for a project I'm doing. I want to have a large gear of a diameter of 110mm (with 60 teeth) and a smaller one with a diameter of 55mm (and 30 teeth). Also, I want them to be at a 90 degree angle like at the beginning of the video but I can't seem to figure out how to do that. Please help !
Hey, thank you for this amazing tutorial ! How did you make sure that there is no collision between the two gears at 17:29? Can you eyeball it?
Hi, I have been trying to model a bevel gear but my virtual base diameter calculation seems to be way off compared to the line generated by the dedendum in the model. Any chance of some help?
Ummmm, sooo I followed all of the steps. Got a final gear that looked exactly like yours. It was fully defined. Then I tested changing the Delta (angle). After I did that, it completely broke the model changing the cut for the actual teeth to be a large flat top making it so it wont fit. Im not sure what to do.
the way he dimensioned the teeth wasn't that great, I had to completely redo them
What is meant by pitch angle?
Hi Muskaw. Thank toi for this helpful tutorial. But i have one question, which equation did you use for the 3 et 4 circle to draw the teeth and how the involute curve is on the addendum circle
Can I find somewhere the explanation behind these values... How were they calculated??
excelent video thanks. ho can i get all nomenclature please
Excellent
Thanxs.
can you publish the file?
i'm trying to make other bevel gears and most of the times i'm getting an error
Thks a lot... which reference do you use for equations?
HI Muzkaw, your tutorial was very helpful, I have to 3d print some bevel gears. 1st question: why you apply the lofted cut just to the half of the vane and later you mirror it, instead of mirror the sketch and make one vane lofted cut. 2nd question and remark: I have a doubt that your lofted cut is not simmetric to the shaft axis, you are out of the shaft for the difference between psi and inva angles. Your teeth are not pointing to the center. I shifted the involute curve to match the psi line on the primitive radius., in order to have the tooth vane correct dimension pi*M/2) and centered with the shaft axis, is not perfect. Anyway your tutorila was very helpfull,thank you.
It's "good practice" to miror functions instead of sketches to have less cluttered sketches (they are already quite complicated as is !). No I think I've modeled the tooth profile correctly, the point of the involute on the root virtual circle should be on axis. Then the lofted cut towards the apex takes care of scaling the involute down as you approach center axis. If you shift the involute, you will get incorretc geometry and have some intereference when mating gears together. Drawing theinvolute on the tangential plane is called Tregold's approximation, it gives the smallest error if your profile is centered as shown.
I mean we may be talking about micrometers here, so it will be good enough for a 3d printer ;)
Thank you sir
Thank you so much for this!
I am trying to model a gear, and I put the values from the calculator given, but it gives an error. It seems to be that "inva" is larger than "psi" causing the loft to fail as the sketch intersects itself.
Here are the values I have entered in the equations
"dp"=139.7
"z"=110
"a"=14.5
"delta" =79.7 - this is from the calculator, the other gear should have a pitch diameter of 25.4. The model seems to work with smaller angles, but the gaps between the teeth are very small.
"L" = 12.7"
would it be possible to tell me where I've gone wrong with this?
Thanks!
As suggested by @gavin newmann, try this : "For smaller gears (Eg. Dp=6, z=16 ) change the unlinked "2" dimension created at 2:35. to 0.5 and it works well" tell me if it works, else i'll give it a try for you
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Are there parameters need to be changed in case I use inches?
How can I make this helical
Is there any chance you can send me the file for the gear sheet calculator I can seem to access it and I have sent you a request through google drive
Hi, first, thank you for the tutorial - it is helping me a lot, I am trying to make a bevel gear, where the angle of the shafts is over 90°. I believe there is a small glitch in the spreadsheet - cell E7, fast IF statement, I think it should start "D6>90". However I still have a problem - the pitch angle delta is over 90°, and the model fails... i cant make figure out how to correct it to cut the teeth correctly. My parameters are dp: 41.6; 16, z: 52; 20, alpha: 20; shaft angle: 125.26°. I will try further, but if you have idea how to fix it... would be great
"internal bevel gear" is what it is called, still lost though..
Did someone find this?
hello excuseme can i use this formula fpr real part?
can you share the question or the book from which you took the problem?
you are awesome!
I'm following your tutorial and am running into a constraint issue. On the first sketch, the one that gets resolved, I can't get the lines to constrain properly. As a result, when I change the equation values, everything breaks. I'm in solidworks 2018.
Hey I am facing similar issues, sometimes it works sometimes it breaks. I've figured out that part of this is due to the fact that some gears won't geometrically work, however i think I did some wrong too
Also sw18
Hi, Thanks. What is IIF in dfvu function? I did not find any function about it in solidworks. Is it if function?
hi Ali, i have the same question did you resolve what the symbol or value was ?
if you press IF and write as he said. When you hit enter, it automatically happened as IIF. same equation.
how long have you been programming?
Hey, im trying to create a gear, but i got some errors.
The inputs are:
Module: 5.5
Number of teeth: 52
Pitch diameter: 286
Delta: 69.93
Teeth lenght: 38.84
Pressure angle: 20
Can you help me, pls?
Decrease Pressure angle and change 2 in Sketch1 to 20. Problem appear when inva is bigger than psi.
Love much!
One very tiny thing is not completely satisfying to me. Constructing the involute on a flat surface, and then projecting it on a circle, that is the gear wheel, does not seem completely accurate. Where the sketch surface touches the perimeter, everything is on spot, but the bigger the space between that surface and the perimeter gets, the bigger the deviation will get. That surface should actually first be wrapped around the wheel or so.
Now with the width of one tooth this deviation is very small and will probably not be visible to the eye. But lets say this is to drive a 0.01mm tolerance CNC machine to manufacture it from metal, the gear wheels may not mate.
Hi, this is called the "Tregold's approximation" and is ubiquidous in gear modeling. It allows to model and do motion analysis of bevel gears with equivalent (projected) spur gears tooth profile. The error that is created is well below the tolerance of your tooth profiled cutting tool. Linear motion actuators with a tolerance below 0.01mm are not made with geared assemblies. CNC machines usually use some type of ballscrew + antibacklash system. Involute gears are designed for power transmission, rather than motion control.
I am a rookie to modeling. I have a 3D printer and a hobby project to realize a "green" static magnet engine for which I need good bevel gears.
I knew something was not completely accurate at your example. But now you explain that this is a recognized fact but that the deviations are negligible, it all together makes for a very satisfying and complete answer I can safely rely on to construct bevel gears. Thank you very much for taking the time to document and share this.
Thanks a lot Muzkaw for this. I've had some troubles to find a parametric tutorial for a bevel gear.
I have one problem that I can't resolve though, maybe someone can help me ?
When I create my involute curve, it is not fully constrained ... I don't know why, I've followed the exacts same steps, I have the same values for the global variables, I have no errors apparent ... I don't know it isn't fully constraint, I can move it manually :/
10:06 have you tried that ?
Ow nope, haven't been that far as my curve was already under defined.
Just tried it and it works perfectly ! Thanks and sorry for the inconvenience.
Really great tuto. If I may suggest, try to find a screen recorder that highlight your mouse and shows what buttons you use on the screen. Sometimes it's going a bit too fast and the mouse is disappearing because of the frame rate.
But thanks anyway, I'll continue with that :)
Yea the capture software was pretty terrible. Had to cut down on the framerate to keep the video file sizes reasonable. Im sure there are better ones out there :p
hey very nice calculation/modeling, i would like to ask you smething, i noticed the tooth profile was offset a little from the center plane, why would that be?
Hi, this is because it is a half tooth profile (that is then mirrored) so the center line matches with the center of the full tooth profile.
Hello, that's great video! :) Can you tell me from that books you take equations? Author and title?
BM560 V1 Engrenages parallèles - Étude géométrique de Georges HENRIOT
BM5621 V1 Engrenages parallèles - Dentures corrigées de Georges HENRIOT
BM5622 V1 Engrenages concourants et gauches - Étude géométrique de Georges HENRIOT
i followed all the steps u have done in the video but when i try changing the configuration. it doesnt rebuild accordingly. is some setting disabled or should i try doing the whole thing again??
Try changing the unlinked dimension as suggested by Gavin Newman
Where is champer?
Your skills are fantastic! How old are you, mate?
Thanks i'm 22
GREAT work :-)
How do I get the gears in 90 degress to each other like shown in the start of the video?
Thanks, there is a quick tutorial at the end of the video to show you how to do that depending on the gear parameters you are using (15:30)
Thanks for the answer I will try that :-)
Hi Muzkaw, many thanks for this tutorial! Could you please tell me the name of the book you read to gather this knowledge?
BM560 V1 Engrenages parallèles - Étude géométrique de Georges HENRIOT
BM5621 V1 Engrenages parallèles - Dentures corrigées de Georges HENRIOT
BM5622 V1 Engrenages concourants et gauches - Étude géométrique de Georges HENRIOT
Des Techniques de l'Ingénieur
+Muzkaw Merci beaucoup, je rajoute ça aux livres que je dois potasser!
C'est super mais je dois faire quelques choses qui fait que cela ne marche pas. Impossible d'avoir pignon et roue concordente comme on le voit sur les captures d'écran ci joint:
prnt.sc/sdo1y2
prnt.sc/sdo2wg
Oui j'ai pas l'impression que l'angle entre les axes soit réellement de 90°. Es tu sûr d'avoir correctement entré les bonnes valeurs en face des bons paramètres dans solidworks ? Il n y a pas de raison que ça marche pas !
@@Muzkaw tout à fait, j'étais à 30° et non pas 90°. En tout cas merci beaucoup pour ce partage.
Hi, thanks for the tutorial, it helped me a lot! What handbook(s) did you use as reference?
A very reputable french encyclopedia of science and engineering called "Techniques de l'ingénieur"
Muzkaw, thanks for the info!
Muzkaw, well thats a popular title haha, do you have the authors name? Sorry if I am bothering you
BM560 V1 Engrenages parallèles - Étude géométrique by Georges HENRIOT
BM5621 V1 Engrenages parallèles - Dentures corrigées by Georges HENRIOT
BM5622 V1 Engrenages concourants et gauches - Étude géométrique by Georges HENRIOT
I hope you understand french or there is a translation available :p
Merci!
i return to modulus 1, because who can make these gears said me he havnt smaller than 1 modulus, i change parameters and little bit overlaping bigger gears addendum part of teeth to smaller teeth dedendum part, its possible change something in involution or need make both gears smaller in diameter?
Look, I can give you the cad files for these gears, i have no time atm to update the tutorial, ask the guy what type of file he wants (dxf, stl,...) and i'll send them to you. You cant open the files i've sent to you with sw16 ?
ok put to the g_drive, i will download
what are the parameters that you want now ?
40mm 40 teeth and 8mm 8 teeth
drive.google.com/open?id=0B2voedb-erQsZlhxWllsX1ZhWDA there it is. I hope the guy who is machining this is skilled enough because it is a very small set of gears ! (at these kind of sizes, they are usually made with powder compaction or plastic injection ).
nice
i try draw/sketch one bevel gear with these params dia=40 teeth=60 action_angle=20 delta_angle=78.69 tooth_lenght=8 and in teeth space sketch throw error! I wanna draw two bevel gears one Diam=40 with 60 teeth and seconc one Diam=8 with 12 teeth and shaft angle sould be 90 degre, can you send me sollution or write possible error what I did
Hey, if you want these gears, their angle will be 82.41 and 7.59, not the one you mentionned. These gears will have very small teeth (modulus of 0.66mm !) what application is it for ?
hey, i used your angle calculator from g drive, and so many times put 40:8 (60:12 teeth)gears to the cell its show me 78.69:11.31 degree, you probably put 60:8, this transmition will be (if i find smart person who can!) make for sheet metal cutter attachment powered by drill
You are right, my bad. The problem was that the diameter of these gears is so small that the gear blank "overlapped" itself in the center. I've fixed it : drive.google.com/open?id=0B2voedb-erQsdUduNWtucTRWQzQ
are you draw newer than 2011? because i still use 2011 :-/
yep i'm using 2016
For the parameters, can they be simplified like fewer global values and just use equations during dimensioning?
You only have 5 parameters to set by hand, the rest is calculation to be used in the sketches : pitch diameter, number of teeth, angle of action, pitch angle and teeth length. If you remove one of these parameters, you will not be able to create any gear set.
I see. Why didn't you just used those instead of making so much global variables on equations?
I did use these, I dont understand your question. Where do you want me to do all the calculation needed to draw the gear ? I've put the 5 relevant parameters on top of the list, so you just have to deal with them, it's as easy as it gets imo.
I see. I meant on the solidworks equation manager.
Putting them as Global Variables makes it easier to call them from within the various sketches.
@Muzkaw I'm trying to make a large bevel gear, around 480mm, but very shallow. But I'm just very confused on how to do it and don't know what equations I need to change to allow me to do this. Even after I downloaded the excel spreadsheet I'm still having difficulties. Can this model you made handle such a large bevel gear? It's for turning something very slowly with not much torque. Mind giving me a hand?
Alright, tell me your dimensions and i'll do it for you. I need your shaft angle (is it 90° ?), the gear ratios / diameters, number of teeths (or modulus) and the width of your gears. Have you seen the example to use the model + excel sheet from 15:35 and on ?
Ok, the shaft angle is 90°. The pinion is ⌀22 with 11 teeth, the "table" that it will be turning is ⌀480 with 240 teeth (this is according to the excel sheet you linked). Will this help you?
Yes, I also need how "thick" your gears will be (teeth thickness) - aka the thickness of the material it will be made out of
Muzkaw Sorry about the late reply, I was out of the office. I'm thinking about 6mm for thickness.
drive.google.com/open?id=0B2voedb-erQsWXMxeHJOYllGYkU there you go. How are you going to fabricate it ? If you dont have access to a super big gear cutter, you'd better try lantern gears, you just need a flat disk and dowels. The big gear can be quite easy to make cause the tooth profile is almost flat, so you can build it in two parts with a flat sheet stock and a crown
what does delta mean
It's supposed to be "phi", the pinion pitch angle. However, in french, we use delta instead of phi.
Is the "angle of action" the pressure angle?
Yes
@@Muzkaw Thanks for the quick reply. Can you make a gear with a negative pitch angle? I want to use a gear with 71 teeth, 38.47 degree pitch angle to mate with a 16 tooth gear at a shaft angle of 27 degrees.
great :-)
Do you know how to draw a spiral bevel gear ?
I don't know yet, I think it's much more complicated and manufacturers seem to keep the equations for them ^^
@@Muzkaw Thanks for your reply. I try to draw ..but also still couldn't find a solution.
from where can i get the equations you used?, i can't see 'em or type em down.
On which version of SW was this made?
I'm sure you can figure it out in the first 20 seconds of the video ;)
cheeky answer,
Richard Flosh The wink was supposed to point out that this answer was a funny riddle :/
i see what u did there, im thinking of getting SW would u recommend some channel for learningz?
I've learnt everything I know about SW at school, so i dont really know if there are good tutorials out there on yt to start
Sir i am not getting a proper bevel gear for 18 & 67 number of teeth module =2
Please help as soon as posible
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