PERMANENT CITATION

Mechanical Involute Gears from the Wolfram Demonstrations Project

http://demonstrations.wolfram.com/MechanicalInvoluteGears/

Based on a program by: Stephan Heiss

minimalNumberOfCogs@a_, deport_: 0D :=nombreDentsLimite@a, deportD;

animationMachiningGear@z_: 19, a_: 20 , m_: 1, deport_: 0, nbImages_: 8D :=animationTailleDent@z, a, m, deport, nbImagesD;

pictureMachiningGear@z_, a_, m_, deport_, nbImages_: 30D :=dessinTailleDent@z, a, m, deport, nbImagesD;

pictureMachiningCog@z_, a_, m_, deport_, nbImages_: 10D :=dessinTailleDentDetail@z, a, m, deport, nbImagesD;

pictureInvoluteFamily@z_: 17, a_: 20 , m_: 1, deport_: 0, n_: 10D :=dessinFamilleDeveloppantes@z, a, m, deport, nD;

shapeCog@z_, a_, m_, deport_: 0D :=profilDent@z, a, m, deportD;

shapeFullCog@z_, a_, m_, deport_: 0D :=profilDentComplete@z, a, m, deportD ;

shapeCogCenter@z_, a_, m_, deport_: 0D :=profilDentCentree@z, a, m, deportD;

shapeGear@z_, a_, m_, deport_: 0D :=profilRoueComplete@z, a, m, deportD ;

animationRackGear@z_, a_, m_, deport_: 0, n_: 3D :=animeEngrenement@z, a, m, deport, nD;

H****** P A R A M E T R E S G E NE R A U X *********************************L

epaisseurTraitCremailleres = 0.35 ;

epaisseurTraitGrosseCremaillere = 0.9 ;

epaisseurTraitDeveloppantes = 0.5 ;

epaisseurTraitConstruction = 0.35 ;

epaisseurTraitProfil = 0.7 ;

H****** FO N C T I O N S G E N ER A L E S *********************************L

norme@v_D := Sqrt@Plus Hv^2LD;

matriceR@a_D := 88Cos@aD, -Sin@aD

Module@8lambda, mu

HPi 2 - gamma 2L &D;D;prof2 = matriceR@gamma 2D . & profComplet ;Return @faireListeXY@ 8prof2, 80, Last@prof2D@@2DD

gearpict@z_, a_, m_, deport_: 0, beta_, cr_D :=Module@8crem, rc, xc1 = RGBColor@.6, .8, 0D,

xc2 = RGBColor@0.2307774471656367, 0.7663691157396811, 1.D

Manipulate@Quiet@Labeled@gearpict@z, a, 1, d, b, crD, Style@Framed@If@z < minimalNumberOfCogs@aD, "cog interference", "no cog interference"D,Background RGBColor@1, .875, .537DD, 12, "Label"D, 8Top