From 43c73706d2726547f16468d09b034afbd18f52bd Mon Sep 17 00:00:00 2001 From: Adrian Mariano Date: Wed, 4 Oct 2023 23:55:13 -0400 Subject: [PATCH] bevel gear text added --- gears.scad | 64 +++++++++++++++++++++++++++++++++++++++++++++++++++--- 1 file changed, 61 insertions(+), 3 deletions(-) diff --git a/gears.scad b/gears.scad index d0bb777..5ab8e9f 100644 --- a/gears.scad +++ b/gears.scad @@ -81,6 +81,11 @@ function _inherit_gear_thickness(thickness) = // * [Worm drive](https://www.tec-science.com/mechanical-power-transmission/gear-types/worms-and-worm-gears/) // - SDPSI (A long document covering a variety of gear types and gear calculations) // * [Elements of Gear Technology](https://www.sdp-si.com/resources/elements-of-metric-gear-technology/index.php) +// - Crown Face Gears +// * [Crown Gearboxes](https://mag.ebmpapst.com/en/industries/drives/crown-gearboxes-efficiency-energy-savings-decentralized-drive-technology_14834/) +// * [Crown gear pressure angle](https://mag.ebmpapst.com/en/industries/drives/the-formula-for-the-pressure-angle_14624/) +// * [Face Gears: Geometry and Strength](https://www.geartechnology.com/ext/resources/issues/0107x/kissling.pdf) + // Subsection: Involute Spur Gears // The simplest gear form is the involute spur gear, which is an extrusion of a two dimensional form. // Figure(3D,Med,NoAxes,VPT=[4.62654,-1.10349,0.281802],VPR=[55,0,25],VPD=236.957): Involute Spur Gear @@ -503,6 +508,59 @@ function _inherit_gear_thickness(thickness) = // worm wheel is still trying to move due to inertia, which can create large loads that fracture the worm. // In such cases, the worm cannot be stopped abruptly but must rotate a little further (called "over travel") // after switching off the drive +// Subsection: Bevel Gears +// Bevel gearing is another way of dealing with intersecting gear shafts. For bevel gears, the teeth centers lie on +// the surface of an imaginary cone, which is the pitch cone of the bevel gear. Two bevel gears mesh when their pitch cones +// touch along their length. The teeth of bevel gears narrow as they get closer to the center of the gear. +// Tooth dimensions and pitch diameter are referenced to the outer end of the teeth. +// Bevel gears can be made with straight teeth, analogous to spur gears, and with the +// same disadvantage of sudden full contact that is noisy. Spiral teeth are analogous to helical +// teeth on cylindrical gears: the teeth engage gradually and smoothly, transmitting motion more smoothly +// and quietly. Also like helical gears, they have the disadvantage of introducing axial forces, and +// usually they can only operate in one rotation direction. +// A third type of tooth is the zerol tooth, which has curved teeth like the spiral teeth, +// but with a zero angle. These share advantages of straight teeth and spiral teeth: they are quiet like +// straight teeth but they lack the axial thrust of spiral gears, and they can operate in both directions. +// They are also reportedly stronger than either spiral or bevel gears. +// Figure(3D,Med,VPT=[-5.10228,-3.09311,3.06426],VPR=[67.6,0,131.9],VPD=237.091,NoAxes): Straight tooth bevel gear with 45 degree angled teeth. To get a gear like this you must specify a spiral angle of zero and a cutter radius of zero. +// bevel_gear(mod=3,teeth=35,face_width=20,spiral_angle=0,cutter_radius=0); +// Figure(3D,Med,VPT=[-5.10228,-3.09311,3.06426],VPR=[67.6,0,131.9],VPD=237.091,NoAxes): Straight tooth bevel gear with 45 degree angled teeth. A gear like this has a positive spiral angle, which determines how sloped the teeth are and a positive cutter radius, which determines how curved the teeth are. +// bevel_gear(mod=3,teeth=35,face_width=20); +// Figure(3D,Med,VPT=[-5.10228,-3.09311,3.06426],VPR=[67.6,0,131.9],VPD=237.091,NoAxes): Zerol tooth bevel gear with 45 degree angled teeth. A gear like this has a spiral angle of zero, but a positive cutter radius, which determines how curved the teeth are. +// bevel_gear(mod=3,teeth=35,face_width=20,spiral_angle=0); +// Continues: +// Bevel gears have demanding requirements for successful mating of two gears. Of course the tooth size +// and pressure angle must match. But beyond that, their pitch cones have to meet at their points. +// This means that if you specify the tooth counts +// of two gears and the desired shaft angle, then that information completely determines the pitch cones, and hence +// the geometry of the gear. You cannot simply mate two arbitary gears that have the same tooth size +// and pressure angle like you can with helical gears: the gears must be designed in pairs to work together. +// . +// It is most common to design bevel gears so operate with their shafts at 90 degree angles, but +// this is not required, and you can design pairs of bevel gears for any desired shaft angle. +// Note, however, that given a pair of teeth counts, a bevel gear pair is not possible at all angles. +// Figure(3D,Med,VPT=[-40.9281,-1.23739,2.11767],VPR=[68.3,0,119.8],VPD=54.2389,NoAxes): Two zerol bevel gears mated with shafts at 90 degrees. +// bevel_gear(mod=3,teeth=35,face_width=10,spiral_angle=0,mate_teeth=15); +// color("lightblue")left(pitch_radius(mod=3,teeth=35))up(pitch_radius(mod=3,teeth=15)) +// yrot(90)zrot(360/15/2)bevel_gear(mod=3,teeth=15,face_width=10,spiral_angle=0,cutter_radius=-30,mate_teeth=35); +// Figure(3D,Med,VPT=[1.55215,1.94725,16.4524],VPR=[76,0,181.4],VPD=263.435): Two zerol bevel gears mated with shafts at a 35 deg angle. +// function bevel_angles(z1,z2,shaft) = +// [atan(sin(shaft)/((z2/z1)+cos(shaft))), +// atan(sin(shaft)/((z1/z2)+cos(shaft)))]; +// angles = bevel_angles(35,15,115); +// bevel_gear(mod=3,teeth=35,face_width=10,spiral_angle=0,pitch_angle=angles[0],cutter_radius=30); +// cyl(h=40,d=3,$fn=16,anchor=BOT); +// color("lightblue") +// left(pitch_radius(mod=3,teeth=35))yrot(20)up(pitch_radius(mod=3,teeth=15)) +// yrot(90)zrot(360/15/2){ +// bevel_gear(mod=3,teeth=15,face_width=10,spiral_angle=0,cutter_radius=-30,pitch_angle=(angles[1])); +// cyl(h=60,d=3,$fn=16,anchor=BOT); +// } +// Continues: +// In the above figure you can see a gear that is very flat. A bevel gear like this is called a planar gear or +// sometimes also a crown gear. The latter term may be confusing because it also refers to a similar looking +// but very different type of gear that is described below. A planar bevel gear can only mate with another +// compatible bevel gear, and never at a 90 degree angle. // Subsection: Crown Gears (Face Gears) // Crown gears, sometimes called Face Crown Gears or just Face Gears, are gears with teeth pointing straight up so // the gear resembles a crown. This type of gear is not the same as a bevel gear with vertical teeth, which would mate @@ -524,7 +582,7 @@ function _inherit_gear_thickness(thickness) = // Note that the geometry of these crown gears is tricky and not well documented by sources we have found. // If you know something about crown gears that could improve the implementation, please open an issue // on github. -// Subsection: Backlash (Fitting Real Gears Together) +// Section: Backlash (Fitting Real Gears Together) // You may have noticed that the example gears shown fit together perfectly, making contact on both sides of // the teeth. Real gears need space between the teeth to prevent the gears from jamming, to provide space // for lubricant, and to provide allowance for fabrication error. This space is called backlash. Excessive backlash @@ -2258,8 +2316,8 @@ module crown_gear( // pressure_angle = Controls how straight or bulged the tooth sides are. In degrees. Default: 20 // clearance = Clearance gap at the bottom of the inter-tooth valleys. Default: module/4 // backlash = Gap between two meshing teeth, in the direction along the circumference of the pitch circle. Default: 0 -// cutter_radius = Radius of spiral arc for teeth. If 0, then gear will not be spiral. Default: 0 -// spiral_angle = The base angle for spiral teeth. Default: 0 +// cutter_radius = Radius of spiral arc for teeth. If 0, then gear will have straight teeth. Default: 30 +// spiral_angle = The base angle for spiral teeth. If zero the teeth will be zerol or straight. Default: 30 // left_handed = If true, the gear returned will have a left-handed spiral. Default: false // slices = Number of vertical layers to divide gear into. Useful for refining gears with `spiral`. Default: 1 // internal = If true, create a mask for difference()ing from something else.