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):123301-123301-9. doi:10.1115/1.4031442 Figure Legend: Sketch of dual pinion face-gear drive

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):123301-123301-9. doi:10.1115/1.4031442 Figure Legend: Face-gear tooth geometry with midpoint of contact lines (symbol “x”)

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):123301-123301-9. doi:10.1115/1.4031442 Figure Legend: Illustration of effective radial and circumferential location of mesh contact points, and phase lags between different meshing tooth pairs

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):123301-123301-9. doi:10.1115/1.4031442 Figure Legend: Contact centroid, for 1 < cr < 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):123301-123301-9. doi:10.1115/1.4031442 Figure Legend: Radial and circumferential positions of contact points and contact centroid

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):123301-123301-9. doi:10.1115/1.4031442 Figure Legend: Angular separation of two pinions on the same face-gear

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):123301-123301-9. doi:10.1115/1.4031442 Figure Legend: Dimensionless phase difference versus total separation angle for N2 = 52

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):123301-123301-9. doi:10.1115/1.4031442 Figure Legend: Multipinion/face-gear drive structural dynamics model: spinning elastic disk with lumped mass/spring/damper units acting at prescribed locations

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):123301-123301-9. doi:10.1115/1.4031442 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

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):123301-123301-9. doi:10.1115/1.4031442 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

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):123301-123301-9. doi:10.1115/1.4031442 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

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):123301-123301-9. doi:10.1115/1.4031442 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

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):123301-123301-9. doi:10.1115/1.4031442 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

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):123301-123301-9. doi:10.1115/1.4031442 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

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):123301-123301-9. doi:10.1115/1.4031442 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