1. Date of download: 10/13/2017
Copyright © ASME. All rights reserved.
From: Parametric Instability of Face-Gear Drives Meshing With Multiple Spur Pinions
J. Mech. Des. 2015;137(12): doi: /
Figure Legend:
Sketch of dual pinion face-gear drive

2. Date of download: 10/13/2017
Copyright © ASME. All rights reserved.
From: Parametric Instability of Face-Gear Drives Meshing With Multiple Spur Pinions
J. Mech. Des. 2015;137(12): doi: /
Figure Legend:
Face-gear tooth geometry with midpoint of contact lines (symbol “x”)

3. Date of download: 10/13/2017
Copyright © ASME. All rights reserved.
From: Parametric Instability of Face-Gear Drives Meshing With Multiple Spur Pinions
J. Mech. Des. 2015;137(12): doi: /
Figure Legend:
Illustration of effective radial and circumferential location of mesh contact points, and phase lags between different meshing tooth pairs

4. Date of download: 10/13/2017
Copyright © ASME. All rights reserved.
From: Parametric Instability of Face-Gear Drives Meshing With Multiple Spur Pinions
J. Mech. Des. 2015;137(12): doi: /
Figure Legend:
Contact centroid, for 1 < cr < 2

5. Date of download: 10/13/2017
Copyright © ASME. All rights reserved.
From: Parametric Instability of Face-Gear Drives Meshing With Multiple Spur Pinions
J. Mech. Des. 2015;137(12): doi: /
Figure Legend:
Radial and circumferential positions of contact points and contact centroid

6. Date of download: 10/13/2017
Copyright © ASME. All rights reserved.
From: Parametric Instability of Face-Gear Drives Meshing With Multiple Spur Pinions
J. Mech. Des. 2015;137(12): doi: /
Figure Legend:
Angular separation of two pinions on the same face-gear

7. Date of download: 10/13/2017
Copyright © ASME. All rights reserved.
From: Parametric Instability of Face-Gear Drives Meshing With Multiple Spur Pinions
J. Mech. Des. 2015;137(12): doi: /
Figure Legend:
Dimensionless phase difference versus total separation angle for N2 = 52

8. Date of download: 10/13/2017
Copyright © ASME. All rights reserved.
From: Parametric Instability of Face-Gear Drives Meshing With Multiple Spur Pinions
J. Mech. Des. 2015;137(12): doi: /
Figure Legend:
Multipinion/face-gear drive structural dynamics model: spinning elastic disk with lumped mass/spring/damper units acting at prescribed locations

9. Date of download: 10/13/2017
Copyright © ASME. All rights reserved.
From: Parametric Instability of Face-Gear Drives Meshing With Multiple Spur Pinions
J. Mech. Des. 2015;137(12): doi: /
Figure Legend:
Dual pinion/face-gear drive stability with respect to pinion separation angle and operating speed: (a) N1 = 26, N2 = 130, h = 0.05 a, τ = 0.8, μ = 1.5, and ζ = 1 × 10 − 6 s and (b) N1 = 31, N2 = 155, h = 0.07 a, τ = 1, μ = 0.25, and ζ = 1 × 10−5 s

10. Date of download: 10/13/2017
Copyright © ASME. All rights reserved.
From: Parametric Instability of Face-Gear Drives Meshing With Multiple Spur Pinions
J. Mech. Des. 2015;137(12): doi: /
Figure Legend:
Dual pinion/face-gear drive stability with respect to pinion discrete positioning angle and operating speed: N1 = 31, N2 = 155, h = 0.07 a, τ = 1, μ = 0.25, and ζ = 1 × 10−5 s, with θp = 0 deg

11. Date of download: 10/13/2017
Copyright © ASME. All rights reserved.
From: Parametric Instability of Face-Gear Drives Meshing With Multiple Spur Pinions
J. Mech. Des. 2015;137(12): doi: /
Figure Legend:
Dual pinion/face-gear drive stability with respect to nondimensional phasing angle and operating speed for three different values of θs with N1 = 31, N2 = 155, h = 0.07 a, τ = 1, μ = 0.25, and ζ = 1 × 10−5 s: (a) θs = 90.6 deg, ΔN2 = 39, (b) θs = 118.5 deg, ΔN2 = 51, and (c) θs = 181.2 deg, ΔN2 = 78

12. Date of download: 10/13/2017
Copyright © ASME. All rights reserved.
From: Parametric Instability of Face-Gear Drives Meshing With Multiple Spur Pinions
J. Mech. Des. 2015;137(12): doi: /
Figure Legend:
Dual pinion/face-gear drive stability with respect to nondimensional pinion mass with N1 = 31, N2 = 155, h = 0.07 a, μ = 0.25, ζ = 1 × 10−5 s, and θc = 120 deg

13. Date of download: 10/13/2017
Copyright © ASME. All rights reserved.
From: Parametric Instability of Face-Gear Drives Meshing With Multiple Spur Pinions
J. Mech. Des. 2015;137(12): doi: /
Figure Legend:
Dual pinion/face-gear drive stability with respect to bearing damping with N1 = 31, N2 = 155, h = 0.07 a, τ = 1, μ = 0.25, and θc = 120 deg

14. Date of download: 10/13/2017
Copyright © ASME. All rights reserved.
From: Parametric Instability of Face-Gear Drives Meshing With Multiple Spur Pinions
J. Mech. Des. 2015;137(12): doi: /
Figure Legend:
Dual pinion/face-gear drive stability with respect to nondimensional pinion bearing stiffness with N1 = 31, N2 = 155, h = 0.07 a, ζ = 1 × 10−5 s, and θc = 120 deg: (a) τ = 1 and (b) τ = 0.4

15. Date of download: 10/13/2017
Copyright © ASME. All rights reserved.
From: Parametric Instability of Face-Gear Drives Meshing With Multiple Spur Pinions
J. Mech. Des. 2015;137(12): doi: /
Figure Legend:
Dual pinion/face-gear drive stability as a function of the number of pinion gear teeth for gear ratio m12 = 5 for three different pinion separation angles cases with h = 0.07 a, τ = 1, μ = 0.25, ζ = 1 × 10−5 s: (a) θc = 90 deg, (b) θc = 120 deg, and (c) θc = 180 deg