Python: module fabmetheus_utilities.geometry.creation.gear

fabmetheus_utilities.geometry.creation.gear ($Date: 2008/02/05 $)

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/home/enrique/Desktop/backup/babbleold/script/reprap/fabmetheus/fabmetheus_utilities/geometry/creation/gear.py

The gear script can generate a spur gear couple, a bevel gear couple, a ring gear couple and a rack & pinion couple. A helix pattern can be added to each gear type. All the gear types have a clearance and all the teeth can be beveled. A keyway, shaft and lightening holes can be added to all the round gears, and rack holes can be added to the rack. The script can output solid gears or only the gear profiles. Both gears of the couple can be generated or just one. The couple has a pinion gear and a complement. Examples Bevel Collar Default Gear Keyway Rack Rack Hole Ring Shaft Shaft Top Spur Helix Spur Herringbone Spur Parabolic Spur Profile Parameters Center Distance Clearance Couplet Clearance Over Wavelength Clearance Collar Width Couplet Collar Width Over Radius Collar Width Complement Collar Height Couplet Complement Collar Height Over Height Complement Collar Height Creation Type Both Complement Pinion Gear Hole Paths Height Helix Angle Helix Path Helix Type Basic Herringbone Parabolic Keyway Radius Couplet Keyway Radius Over Radius Keyway Radius Lightening Hole Margin Couplet Lightening Hole Margin Over Rim Width Lightening Hole Margin Lightening Hole Minimum Radius Move Type None Mesh Separate Vertical Operating Angle Pinion Collar Height Over Height Couplet Pinion Collar Height Over Height Pinion Collar Height Pitch Radius Plate Clearance Over Height Couplet Plate Clearance Over Height Plate Clearance Plate Height Over Height Couplet Plate Height Over Height Plate Height Pressure Angle Profile Surfaces Rack Hole Radius Over Width Couplet Rack Hole Radius Over Width Rack Hole Radius Rack Hole Below Over Width Couplet Rack Hole Below Over Width Rack Hole Below Rack Hole Step Over Width Couplet Rack Hole Step Over Width Rack Hole Step Rack Length Over Radius Couplet Rack Length Over Radius Rack Length Rack Width Over Height Couplet Rack Width Over Height Rack Width Rim Width Over Height Couplet Rim Width Over Height Rim Width Root Bevel Over Clearance Couplet Root Bevel Over Clearance Root Bevel Shaft Depth Bottom Couplet Shaft Depth Bottom Over Radius Shaft Depth Bottom Shaft Depth Top Couplet Shaft Depth Top Over Radius Shaft Depth Top Shaft Path Shaft Radius Over Pitch Radius Couplet Shaft Radius Over Pitch Radius Shaft Radius Shaft Sides Teeth Pinion Teeth Complement Tip Bevel Over Clearance Couplet Tip Bevel Over Clearance Tip Bevel Tooth Width Multiplier

`Examples`

The link text includes the distinguishing parameters. Each svg page was generated from an xml page of the same root name using carve. For example, default_gear.svg was generated by clicking 'Carve' on the carve tool panel and choosing default_gear.xml in the file chooser. Each generated svg file has the xml fabmetheus element without comments towards the end of the file. To see it, open the svg file in a text editor and search for 'fabmetheus' If you copy that into a new text document, add the line '<?xml version='1.0' ?>' at the beginning and then give it a file name with the extension '.xml', you could then generate another svg file using carve. Bevel Bevel gear couple. gear operatingAngle=90 Collar Spur gear couple and each gear has a collar. gear complementCollarHeightOverHeight='1' pinionCollarHeightOverHeight='1' shaftRadius='5' Default Gear Default spur gear with no parameters. gear Keyway Spur gear couple and each gear has a collar and defined keyway. gear complementCollarHeightOverHeight='1' keywayRadius='2' pinionCollarHeightOverHeight='1' shaftRadius='5' Rack Rack and pinion couple. gear teethComplement='0' Rack Hole Rack and pinion couple, with holes in the rack. gear rackHoleRadiusOverWidth='0.2' rackWidthOverHeight='2' teethComplement='0' Ring Pinion and ring gear. gear teethComplement='-23' Shaft Spur gear couple and each gear has a square shaft hole. gear shaftRadius='5' Shaft Top Spur gear couple and each gear has a round shaft hole, truncated on top. gear shaftRadius='5' shaftSides='13' shaftDepthTop='2' Spur Helix Spur gear couple with the gear teeth following a helix path. gear helixAngle='45' Spur Herringbone Spur gear couple with the gear teeth following a herringbone path. gear helixAngle='45' helixType='herringbone' Spur Parabolic Spur gear couple with the gear teeth following a parabolic path. gear helixAngle='45' helixType='parabolic' Spur Profile Spur gear couple profile. Since this is just a horizontal path, it can not be sliced, so the path is then extruded to create a solid which can be sliced and viewed. gear id='spurProfile' height='0' | extrude target='=document.getElementByID(spurProfile) Parameters Center Distance Default is such that the pitch radius works out to twenty. Defines the distance between the gear centers. Clearance Couplet Clearance Over Wavelength Default is 0.1. Defines the ratio of the clearance over the wavelength of the gear profile. The wavelength is the arc distance between the gear teeth. Clearance Default is the 'Clearance Over Wavelength' times the wavelength. Defines the clearance between the gear tooth and the other gear of the couple. If the clearance is zero, the outside of the gear tooth will touch the other gear. If the clearance is too high, the gear teeth will be long and weak. Collar Width Couplet Collar Width Over Radius Default is one. Defines the ratio of the collar width over the shaft radius. Collar Width Default is the 'Collar Width Over Radius' times the shaft radius. Defines the collar width. Complement Collar Height Couplet Complement Collar Height Over Height Default is zero. Defines the ratio of the complement collar height over the tooth height. Complement Collar Height Default is the 'Complement Collar Height Over Height' times the tooth height. Defines the complement collar height. If the complement collar height is zero, there will not be a collar on the complement gear. Creation Type Default is 'both'. Both When selected, the pinion and complement will be generated. Complement When selected, only the complement gear or rack will be generated. Pinion When selected, only the pinion will be generated. Gear Hole Paths Default is empty. Defines the centers of the gear holes. If the gear hole paths parameter is the default empty, then the centers of the gear holes will be generated from other parameters. Height Default is ten. Defines the tooth height. Helix Angle Default is zero. Helix Path Default is empty. Defines the helix path of the gear teeth. If the helix path is the default empty, then the helix will be generated from the helix angle and helix type. Helix Type Default is 'basic'. Basic When selected, the helix will be basic. Herringbone When selected, the helix will have a herringbone pattern. Parabolic When selected, the helix will have a parabolic pattern. Keyway Radius Couplet Keyway Radius Over Radius Default is half. Defines the ratio of the keyway radius over the shaft radius. Keyway Radius Default is the 'Keyway Radius Over Radius' times the shaft radius. Defines the keyway radius. If the keyway radius is zero, there will not be a keyway on the collar. Lightening Hole Margin Couplet Lightening Hole Margin Over Rim Width Default is one. Defines the ratio of the lightening hole margin over the rim width. Lightening Hole Margin Default is the 'Lightening Hole Margin Over Rim Width' times the rim width. Defines the minimum margin between lightening holes. Lightening Hole Minimum Radius Default is one. Defines the minimum radius of the lightening holes. Move Type Default is 'separate'. None When selected, the gears will be not be moved and will therefore overlap. Afterwards the write plugin could be used to write each gear to a different file, so they can be fabricated in separate operations. Mesh When selected, the gears will be separated horizontally so that they just mesh. This is useful to test if the gears mesh properly. Separate When selected, the gears will be separated horizontally with a gap between them. Vertical When selected, the gears will be separated vertically. Operating Angle Default is 180 degrees. Defines the operating angle between the gear axes. If the operating angle is not 180 degrees, a bevel gear couple will be generated. Pinion Collar Height Over Height Couplet Pinion Collar Height Over Height Default is zero. Defines the ratio of the pinion collar height over the tooth height. Pinion Collar Height Default is the 'Pinion Collar Height Over Height' times the tooth height. Defines the pinion collar height. If the pinion collar height is zero, there will not be a collar on the pinion gear. Pitch Radius Default is twenty if the pitch radius has not been set. If the center distance is set, the default pitch radius is the center distance times the number of pinion teeth divided by the total number of gear teeth. Defines the pinion pitch radius. Plate Clearance Over Height Couplet Plate Clearance Over Height Default is 0.2. Defines the ratio of the plate clearance over the plate height. Plate Clearance Default is the 'Plate Clearance Over Height' times the plate height. Defines the clearance between the pinoin and the plate of the ring gear. If the clearance is zero, they will touch. Plate Height Over Height Couplet Plate Height Over Height Default is half. Defines the ratio of the plate height over the tooth height. Plate Height Default is the 'Plate Height Over Height' times the tooth height. Defines the height of the plate of the ring gear. Pressure Angle Default is twenty degrees. Defines the pressure angle of the gear couple. Profile Surfaces Default is eleven. Defines the number of profile surfaces. Rack Hole Radius Over Width Couplet Rack Hole Radius Over Width Default is zero. Defines the ratio of the rack hole radius over the rack width. Rack Hole Radius Default is the 'Rack Hole Radius Over Width' times the rack width. Defines the radius of the rack holes. If the rack hole radius is zero, there won't be any rack holes. Rack Hole Below Over Width Couplet Rack Hole Below Over Width Default is 0.6. Defines the ratio of the distance below the pitch of the rack holes over the rack width. Rack Hole Below Default is the 'Rack Hole Below Over Width' times the rack width. Defines the the distance below the pitch of the rack holes. Rack Hole Step Over Width Couplet Rack Hole Step Over Width Default is one. Defines the ratio of the rack hole step over the rack width. Rack Hole Step Default is the 'Rack Hole Step Over Width' times the rack width. Defines the horizontal step distance between the rack holes. Rack Length Over Radius Couplet Rack Length Over Radius Default is two times pi. Defines the ratio of the rack length over the pitch radius. Rack Length Default is the 'Rack Length Over Radius' times the pitch radius. Defines the rack length. Rack Width Over Height Couplet Rack Width Over Height Default is one. Defines the ratio of the rack width over the tooth height. Rack Width Default is the 'Rack Width Over Height' times the tooth height. Defines the rack width. Rim Width Over Height Couplet Rim Width Over Height Default is 0.2. Defines the ratio of the rim width over the pitch radius. Rim Width Default is the 'Rim Width Over Height' times the pitch radius. Defines the rim width of the gear. Root Bevel Over Clearance Couplet Root Bevel Over Clearance Default is half. Defines the ratio of the root bevel over the clearance. Root Bevel Default is the 'Root Bevel Over Clearance' times the clearance. Defines the bevel at the root of the gear tooth. Shaft Depth Bottom Couplet Shaft Depth Bottom Over Radius Default is zero. Defines the ratio of the bottom shaft depth over the shaft radius. Shaft Depth Bottom Default is the 'Shaft Depth Bottom Over Radius' times the shaft radius. Defines the bottom shaft depth. Shaft Depth Top Couplet Shaft Depth Top Over Radius Default is zero. Defines the ratio of the top shaft depth over the shaft radius. Shaft Depth Top Default is the 'Shaft Depth Top Over Radius' times the shaft radius. Defines the top shaft depth. Shaft Path Default is empty. Defines the path of the shaft hole. If the shaft path is the default empty, then the shaft path will be generated from the shaft depth bottom, shaft depth top, shaft radius and shaft sides. Shaft Radius Over Pitch Radius Couplet Shaft Radius Over Pitch Radius Default is zero. Defines the ratio of the shaft radius over the pitch radius. Shaft Radius Default is the 'Shaft Radius Over Pitch Radius' times the pitch radius. Defines the shaft radius. Shaft Sides Default is four. Defines the number of shaft sides. Teeth Pinion Default is seven. Defines the number of teeth in the pinion. Teeth Complement Default is seventeen. Defines the number of teeth in the complement of the gear couple. If the number of teeth is positive, the gear couple will be a spur or bevel type. If the number of teeth is zero, the gear couple will be a rack and pinion. If the number of teeth is negative, the gear couple will be a spur and ring. Tip Bevel Over Clearance Couplet Tip Bevel Over Clearance Default is 0.1. Defines the ratio of the tip bevel over the clearance. Tip Bevel Default is the 'Tip Bevel Over Clearance' times the clearance. Defines the bevel at the tip of the gear tooth. Tooth Width Multiplier Default is 0.99999. Defines the amount the width of the tooth will multiplied. If when the gears are produced, they mesh too tightly, you can reduce the tooth width multiplier so that they mesh with reasonable tightness.

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Classes

GearDerivation

class GearDerivation

Class to hold gear variables.

Methods defined here:

__init__(self, xmlElement)
Set defaults.

__repr__(self)
Get the string representation of this GearDerivation.

Functions

addBevelGear(derivation, extrudeDerivation, pitchRadius, positives, teeth, vector3GearProfile)
Get extrude output for a cylinder gear.

addBottomLoop(deltaZ, loops)
Add bottom loop to loops.

addCollarShaft(collarHeight, derivation, negatives, positives, xmlElement)
Add collar.

addCollarShaftSetDerivation(collarDerivation, collarHeight, derivation, negatives, positives, xmlElement)
Add collar and shaft.

addLighteningHoles(derivation, gearHolePaths, negatives, pitchRadius, positives)
Add lightening holes.

addRackHole(derivation, vector3RackProfiles, x, xmlElement)
Add rack hole to vector3RackProfiles.

addRackHoles(derivation, vector3RackProfiles, xmlElement)
Add rack holes to vector3RackProfiles.

addShaft(derivation, negatives, positives)
Add shaft.

getAxialMargin(circleRadius, numberOfSides, polygonRadius)
Get axial margin.

getBevelPath(begin, bevel, center, end)
Get bevel path.

getGearPaths(derivation, pitchRadius, teeth, toothProfile)
Get gear paths.

getGearProfileAnnulus(derivation, pitchRadius, teeth, toothProfile)
Get gear profile for an annulus gear.

getGearProfileCylinder(teeth, toothProfile)
Get gear profile for a cylinder gear.

getGearProfileRack(derivation, toothProfile)
Get gear profile for rack.

getGeometryOutput(derivation, xmlElement)
Get vector3 vertexes from attribute dictionary.

getGeometryOutputByArguments(arguments, xmlElement)
Get vector3 vertexes from attribute dictionary by arguments.

getHalfwave(pitchRadius, teeth)
Get tooth halfwave.

getHelixComplexPath(derivation, xmlElement)
Set gear helix path.

getLiftedOutput(derivation, geometryOutput, xmlElement)
Get extrude output for a rack.

getLighteningHoles(derivation, gearHolePaths, pitchRadius)
Get cutout circles.

getNewDerivation(xmlElement)
Get new derivation.

getOutputCylinder(collarHeight, derivation, gearHolePaths, pitchRadius, teeth, twist, vector3GearProfile, xmlElement)
Get extrude output for a cylinder gear.

getOutputRack(derivation, vector3GearProfile, xmlElement)
Get extrude output for a rack.

getPathOutput(creationFirst, derivation, translation, vector3ComplementPaths, vector3PinionProfile, xmlElement)
Get gear path output.

getToothProfile(derivation, pitchRadius, teeth)
Get profile for one tooth.

getToothProfileAnnulus(derivation, pitchRadius, teeth)
Get profile for one tooth of an annulus.

getToothProfileCylinder(derivation, pitchRadius, teeth)
Get profile for one tooth of a cylindrical gear.

getToothProfileCylinderByProfile(derivation, pitchRadius, teeth, toothProfileHalf)
Get profile for one tooth of a cylindrical gear.

getToothProfileHalfCylinder(derivation, pitchRadius)
Get profile for half of a one tooth of a cylindrical gear.

getToothProfileRack(derivation)
Get profile for one rack tooth.

getWidthMultipliedPath(path, widthMultiplier)
Get width multiplied path.

processXMLElement(xmlElement)
Process the xml element.

Data

__author__ = 'Enrique Perez (perez_enrique@yahoo.com)'
__credits__ = 'Art of Illusion <http://www.artofillusion.org/>'
__date__ = '$Date: 2008/02/05 $'
__license__ = 'GNU Affero General Public License http://www.gnu.org/licenses/agpl.html'
absolute_import = _Feature((2, 5, 0, 'alpha', 1), (2, 7, 0, 'alpha', 0), 16384)

Author

Enrique Perez (perez_enrique@yahoo.com)

Credits

Art of Illusion <http://www.artofillusion.org/>

Data
		__author__ = 'Enrique Perez (perez_enrique@yahoo.com)' __credits__ = 'Art of Illusion <http://www.artofillusion.org/>' __date__ = '$Date: 2008/02/05 $' __license__ = 'GNU Affero General Public License http://www.gnu.org/licenses/agpl.html' absolute_import = _Feature((2, 5, 0, 'alpha', 1), (2, 7, 0, 'alpha', 0), 16384)