1. Date of download: 12/27/2017
Copyright © ASME. All rights reserved.
From: Drill String Bit Whirl Simulation With the Use of Frictional and Nonholonomic Models
J. Vib. Acoust. 2015;138(1): doi: /
Figure Legend:
Frictional (a) and nonholonomic (b) models of a body movement on uneven surface

2. Date of download: 12/27/2017
Copyright © ASME. All rights reserved.
From: Drill String Bit Whirl Simulation With the Use of Frictional and Nonholonomic Models
J. Vib. Acoust. 2015;138(1): doi: /
Figure Legend:
Structural (a) and calculation (b) schemes of drill bit whirling

3. Date of download: 12/27/2017
Copyright © ASME. All rights reserved.
From: Drill String Bit Whirl Simulation With the Use of Frictional and Nonholonomic Models
J. Vib. Acoust. 2015;138(1): doi: /
Figure Legend:
Schematic of forces and moments acting on separated bit in the inclination plane

4. Date of download: 12/27/2017
Copyright © ASME. All rights reserved.
From: Drill String Bit Whirl Simulation With the Use of Frictional and Nonholonomic Models
J. Vib. Acoust. 2015;138(1): doi: /
Figure Legend:
Top view of positions of points C and G and trace of the inclination plane σ

5. Date of download: 12/27/2017
Copyright © ASME. All rights reserved.
From: Drill String Bit Whirl Simulation With the Use of Frictional and Nonholonomic Models
J. Vib. Acoust. 2015;138(1): doi: /
Figure Legend:
Diagram of friction force change in the regimes of bit rolling and sliding

6. Date of download: 12/27/2017
Copyright © ASME. All rights reserved.
From: Drill String Bit Whirl Simulation With the Use of Frictional and Nonholonomic Models
J. Vib. Acoust. 2015;138(1): doi: /
Figure Legend:
The trajectories of the oblong bit center C moving in the fixed reference frame (a=0.1m, b=0.3m, T=−1×104N, Mz=−1×104N m, ω=5rad/s): a−μ=0.2; b−μ=0.5; c−μ=1.0; d−μ=10; e−μ=30; f− nonholonomic model

7. Date of download: 12/27/2017
Copyright © ASME. All rights reserved.
From: Drill String Bit Whirl Simulation With the Use of Frictional and Nonholonomic Models
J. Vib. Acoust. 2015;138(1): doi: /
Figure Legend:
The trajectories of the oblong bit center C moving in the fixed reference frame (a=0.1m, b=0.3m, T=−1×105N, Mz=−1×104N m, ω=5rad/s): a−μ=0.2; b−μ=0.5; c−μ=1.0; d−μ=10; e−μ=30; f− nonholonomic model

8. Date of download: 12/27/2017
Copyright © ASME. All rights reserved.
From: Drill String Bit Whirl Simulation With the Use of Frictional and Nonholonomic Models
J. Vib. Acoust. 2015;138(1): doi: /
Figure Legend:
The trajectories of the oblong bit center C moving in the fixed reference frame (a=0.3m, b=0.1m, T=−1×104N, Mz=−1×104N m, ω=5rad/s): a−μ=0.2; b−μ=0.5; c−μ=1.0; d−μ=10; e−μ=30; f− nonholonomic model

9. Date of download: 12/27/2017
Copyright © ASME. All rights reserved.
From: Drill String Bit Whirl Simulation With the Use of Frictional and Nonholonomic Models
J. Vib. Acoust. 2015;138(1): doi: /
Figure Legend:
The trajectories of the oblong bit center C moving in the fixed reference frame (a=0.3m, b=0.1m, T=−1×105N, Mz=−1×104N m, ω=5rad/s): a−μ=0.2; b−μ=0.5; c−μ=1.0; d−μ=10; e−μ=30; f− nonholonomic model

10. Date of download: 12/27/2017
Copyright © ASME. All rights reserved.
From: Drill String Bit Whirl Simulation With the Use of Frictional and Nonholonomic Models
J. Vib. Acoust. 2015;138(1): doi: /
Figure Legend:
Modes of bit vibrations in the fixed coordinate system (a=0.3m, b=0.1m, T=−1×105N, Mz=−1×104N m, ω=5rad/s): a−μ=0.2; b−μ=0.5; c−μ=30; d− nonholonomic model

11. Date of download: 12/27/2017
Copyright © ASME. All rights reserved.
From: Drill String Bit Whirl Simulation With the Use of Frictional and Nonholonomic Models
J. Vib. Acoust. 2015;138(1): doi: /
Figure Legend:
The trajectory of the oblong bit center C moving in the fixed reference frame (a=0.3m, b=0.1m, T=−1×104N, Mz=−1×104N m, ω=10rad/s, μ=1, 0≤t≤20s)

12. Date of download: 12/27/2017
Copyright © ASME. All rights reserved.
From: Drill String Bit Whirl Simulation With the Use of Frictional and Nonholonomic Models
J. Vib. Acoust. 2015;138(1): doi: /
Figure Legend:
Functions of angular velocities of the bit whirling (ωb) and the DS rotation (ω)