Straight, Zerol and Spiral Bevel Gear (Tredgold's approximation), parametric (Fusion 360)
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- เผยแพร่เมื่อ 26 ส.ค. 2024
- Showing guidelines for modeling bevel gears with Fusion 360, fully parametric, involute tooth profile based on Tredgold's approximation.
For a good popularized explanation about Tredgold's approximation, see this Antalz's presentation:
• How to model Bevel Gea...
Here is the parameter list used for the straight bevel gear :
docs.google.co...
in the midst of my difficulties in mechanical engineering, this guy suddenly appeared from the earth and gave a very cool tutorial and showoff. this guy is a chad.
please bro @steelstone, comeback. more people are in need of you. please make tutorial video about the spiral bevel gear.
That's the only tutorial for spiral bevel gears that models them correctly and as a matching pair
Thankyou man ,Just keep giving us such nice video's about fusion 360
wow! super cool man!
can you make a video to make bevel gear step by step procedure
great presentation!
thank you! would really like to get more details.
Very knowledgeable, Keep it up👍👍
Plz make a tutorial i dont know the values on how much to rotate each tooth scetch
Your videos are very informative,Nice.
Very interesting !
Brother, I would like you to upload a video with all the details of the spiral bevel gear, you earned my respect, greetings.
Or if you don't have enough time to do it, I would like you to give me the sources of information that you used.
@@smoke3090 I extrapolated the information the best I could from here
www.sdp-si.com/resources/elements-of-metric-gear-technology/page4.php#Section8
and here
www.tec-science.com/mechanical-power-transmission/involute-gear/calculation-of-involute-gears/
I plan to make a summary video with all the gears I modeled. Please be patient 🙏
awesome!
very useful and well made. please make more content such as this. solidworks and freecad too if you want to mix it up. thanks much
Please make a detailed tutorial
freaking complicated, these should be toolbox components in solidworks
Thank you for the great Video! But how did you get the angles about which you rotate the tooth profile slices? I'd really appreciate an answer, since im struggling on this part.
Indeed, it's the most complex part. I did the math and obtained a quite verbose function. Maybe too complex but I wanted a curved tooth as if it was milled with a rotating cutting tool.
I guess there are easier ways, O.T. Vinta proposes one (see its video "How to Model A Bevel Gear Drive in Blender 3D"). He uses Blender which is not parametric, but I think his method can be adapted parametrically for Fusion 360.
@@steelstone Thank you for your answer. I thought about doing the math aswell, but was unsure if it was as complex as i thought it was. And the fact that there are many different cutting techniques and types of the tooth curvature doesnt make it easier.
@@ChrystsGER I've been doing that using python and the easiest way I found was to find the center of the cutter and then find the angle that allow each of our tooth profile slice to be on the cutter circle (without doing the math, using a minimize function because I use python ahah). I'm not sure that it is the best way but it's working pretty well
@@biggib1I chose the same way, but via trigonometry. Turns out to be a complex function indeed. If someone finds an easier way, he may post it here, would be interesting to see.
@@ChrystsGER here is an attempt to explain what I obtained.
Consider working on the tangent plane of both cones, the apex being the origin.
Consider "conedist" and "facedist" variables, they are self explanatory (I hope).
Consider these variables :
"delta1" as the pinion pitch cone angle;
"delta2" as the crown gear pitch cone angle;
"beta" as the tooth angle;
"Rcutter" as the radius of the cutter;
"x0" and "y0" as the cutter center coordinates relative to the apex;
"Rin" as the distance from the apex to the inner slice;
"Rout" the same distance to the outer slice;
"Rmid" the same distance to the middle slice.
Rin = conedist - facewidth
Rout = conedist
Rmid = ( Rin + Rout ) / 2
x0 = Rmid - Rcutter * sin(beta)
y0 = -Rcutter * cos(beta)
For any slice whose distance to the apex is "R", consider the angle "phi" :
phi = acos(( R ^ 2 + ( x0 ^ 2 + y0 ^ 2 ) - Rcutter ^ 2 ) / ( 2 * R * sqrt(x0 ^ 2 + y0 ^ 2) ))
So :
phi_out = acos(( Rout ^ 2 + ( x0 ^ 2 + y0 ^ 2 ) - Rcutter ^ 2 ) / ( 2 * Rout * sqrt(x0 ^ 2 + y0 ^ 2) ))
phi_in = acos(( Rin ^ 2 + ( x0 ^ 2 + y0 ^ 2 ) - Rcutter ^ 2 ) / ( 2 * Rin * sqrt(x0 ^ 2 + y0 ^ 2) ))
etc...
Now, the final calc, assuming the outer slice at "Rout" is left in place, the others slices are rotated :
for the pinion : (phi_any - phi_out) / sin(delta1)
for the crown gear : (phi_any - phi_out) / sin(delta2)
I let you check all this ;-)
Is there any chance you could upload a .F3D file to the description? I have been trying this for a week and and quite figure your math out. thank you!!
I'll think about it when I'll take some time to remodel it. My original file is quite unstable when changing parameter values. I don't know if it's Fusion 360 that is not mature enough, or if I'm asking too much of it ;-)
@@steelstone I would be happy with the unstable version :)
Can the same procedure be done in solidworks?
Yes, I think so.
Solidworks has the same abilities (and actually more) than Fusion to sketch, extrude, sweep, loft, split, combine, etc. I modeled a spur gear a year ago with Solidworks when I had access to it.
The only thing that bothered me was the management of parameter units, they seemed inconsistent to me. I was unable to set a parameter with no unit (a count number for pattern features for example). Also, conversions to/from Degree from/to Radian had to be done manually, they are implicit with Fusion.
My friend, this pictures are not a real Spiral Bevel Gear. Is only an artistic picture.
can you share an excel of the parameters?
Description updated
i can't import the parameter help
it throw an empty error :S
well id like the f3d file
I guess that you have to edit the CSV file if you exported it from google sheets. Try removing the blank lines.
@@steelstone i downloaded it as a csv and when i edit it there no blank line
its the first time i am trying to import parameter so i got no idea what i am doing
with the plugin to import/export
Lines 19, 28, 37, 44, 51 and 56 are blank or empty. Exporting the googlesheet to CSV generates three useless comas at those lines. Just remove them.
Then import using the "Parameter IO" addin. Hope this helps.
@@steelstone alright it stopped throwing error but i am suposed to link every parameter to something ? i never done this so i don't know
@@buder5116 yes