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Gear Tooth FEA analysis




Gear Tooth Analysis




                                          1
Gear Tooth FEA analysis
Geometry Details :




   Pitch dia of gear ring is 2.000”
   pitch dia of small gear is 1.333”
   center-to-center is 1.6665”


                                                           2
Gear Tooth FEA analysis
Mesh Plot :




Material properties (steel):             PLANE42- Plane Stress with
Young’s modulus = 30E6 psi               thickness option is used
Poisson’s ratio = 0.29
Coefficient of friction= 0.1 (assumed)



                                                                      3
Gear Tooth FEA analysis
Loads and Boundary conditions :
Torque = 155 lb inch




                                               This master node is
This master node (where the torque is
                                               arrested in all the direction   Contact elements are created
applied) is arrested in all the direction
                                                                               in between the mating tooth
except rotation in z axis.

CERIG is created in the hoop direction (UY) in the cylindrical coordinates

One gear is fixed and torque is applied to the another




                                                                                                        4
Gear Tooth FEA analysis
Radial Displacement Plot ( Ux) :
Fixed Gear :                       Driven Gear :




                                                   Displacement in inch
                                                                          5
Gear Tooth FEA analysis
Hoop Displacement Plot (Uy) :
Fixed Gear :                    Driven Gear :




                                                Displacement in inch
                                                                       6
Gear Tooth FEA analysis
Displacement Plot (Usum) :
Fixed Gear :                 Driven Gear :




                                             Displacement in inch
                                                                    7
Gear Tooth FEA analysis
Contact Status :   Contact Pressure :




                                              8
Gear Tooth FEA analysis
First Principal Stress Plot (S1) :




                                     Maximum stress is 63 ksi



                                                      Stresses in psi   9
Gear Tooth FEA analysis
First Principal Stress Plot (S1) :
Driven Gear :




                                     Maximum stress
                                     is 63 ksi

                                                      Stresses in psi   10
Gear Tooth FEA analysis
First Principal Stress Plot (S1) :
Fixed Gear :




                                     Maximum stress
                                     is 48 ksi




                                                      Stresses in psi   11
Gear Tooth FEA analysis
Von Mises Stress Plot (Seqv) :




                             This is localized stress due to contact elements


                                                         Maximum stress is
                                                         76 ksi




                                                                    Stresses in psi   12
Gear Tooth FEA analysis
Von Mises Stress Plot (Seqv) :
Driven Gear :




                         This is localized stress due to contact elements




                                               Maximum stress
                                               is 76 ksi


                                                                     Stresses in psi   13
Gear Tooth FEA analysis
Von Mises Stress Plot (Seqv) :
Fixed Gear :




                         This is localized stress due to contact elements




                                                Maximum stress
                                                is 45 ksi


                                                                     Stresses in psi   14

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Gear

  • 1. Gear Tooth FEA analysis Gear Tooth Analysis 1
  • 2. Gear Tooth FEA analysis Geometry Details : Pitch dia of gear ring is 2.000” pitch dia of small gear is 1.333” center-to-center is 1.6665” 2
  • 3. Gear Tooth FEA analysis Mesh Plot : Material properties (steel): PLANE42- Plane Stress with Young’s modulus = 30E6 psi thickness option is used Poisson’s ratio = 0.29 Coefficient of friction= 0.1 (assumed) 3
  • 4. Gear Tooth FEA analysis Loads and Boundary conditions : Torque = 155 lb inch This master node is This master node (where the torque is arrested in all the direction Contact elements are created applied) is arrested in all the direction in between the mating tooth except rotation in z axis. CERIG is created in the hoop direction (UY) in the cylindrical coordinates One gear is fixed and torque is applied to the another 4
  • 5. Gear Tooth FEA analysis Radial Displacement Plot ( Ux) : Fixed Gear : Driven Gear : Displacement in inch 5
  • 6. Gear Tooth FEA analysis Hoop Displacement Plot (Uy) : Fixed Gear : Driven Gear : Displacement in inch 6
  • 7. Gear Tooth FEA analysis Displacement Plot (Usum) : Fixed Gear : Driven Gear : Displacement in inch 7
  • 8. Gear Tooth FEA analysis Contact Status : Contact Pressure : 8
  • 9. Gear Tooth FEA analysis First Principal Stress Plot (S1) : Maximum stress is 63 ksi Stresses in psi 9
  • 10. Gear Tooth FEA analysis First Principal Stress Plot (S1) : Driven Gear : Maximum stress is 63 ksi Stresses in psi 10
  • 11. Gear Tooth FEA analysis First Principal Stress Plot (S1) : Fixed Gear : Maximum stress is 48 ksi Stresses in psi 11
  • 12. Gear Tooth FEA analysis Von Mises Stress Plot (Seqv) : This is localized stress due to contact elements Maximum stress is 76 ksi Stresses in psi 12
  • 13. Gear Tooth FEA analysis Von Mises Stress Plot (Seqv) : Driven Gear : This is localized stress due to contact elements Maximum stress is 76 ksi Stresses in psi 13
  • 14. Gear Tooth FEA analysis Von Mises Stress Plot (Seqv) : Fixed Gear : This is localized stress due to contact elements Maximum stress is 45 ksi Stresses in psi 14