1. Date of download: 10/21/2017
Copyright © ASME. All rights reserved.
From: Uncertain Friction-Induced Vibration Study: Coupling of Fuzzy Logic, Fuzzy Sets, and Interval Theories
ASME J. Risk Uncertainty Part B. 2015;2(1): doi: /
Figure Legend:
Description of the beam-on-beam system

2. Date of download: 10/21/2017
Copyright © ASME. All rights reserved.
From: Uncertain Friction-Induced Vibration Study: Coupling of Fuzzy Logic, Fuzzy Sets, and Interval Theories
ASME J. Risk Uncertainty Part B. 2015;2(1): doi: /
Figure Legend:
Frequency and growth rate of the studied system

3. Date of download: 10/21/2017
Copyright © ASME. All rights reserved.
From: Uncertain Friction-Induced Vibration Study: Coupling of Fuzzy Logic, Fuzzy Sets, and Interval Theories
ASME J. Risk Uncertainty Part B. 2015;2(1): doi: /
Figure Legend:
Triangular and trapezoidal membership functions

4. Date of download: 10/21/2017
Copyright © ASME. All rights reserved.
From: Uncertain Friction-Induced Vibration Study: Coupling of Fuzzy Logic, Fuzzy Sets, and Interval Theories
ASME J. Risk Uncertainty Part B. 2015;2(1): doi: /
Figure Legend:
Definition of the interval approach

5. Date of download: 10/21/2017
Copyright © ASME. All rights reserved.
From: Uncertain Friction-Induced Vibration Study: Coupling of Fuzzy Logic, Fuzzy Sets, and Interval Theories
ASME J. Risk Uncertainty Part B. 2015;2(1): doi: /
Figure Legend:
Propagation of uncertainty for fuzzy data

6. Date of download: 10/21/2017
Copyright © ASME. All rights reserved.
From: Uncertain Friction-Induced Vibration Study: Coupling of Fuzzy Logic, Fuzzy Sets, and Interval Theories
ASME J. Risk Uncertainty Part B. 2015;2(1): doi: /
Figure Legend:
Computational procedure for the contact problem

7. Date of download: 10/21/2017
Copyright © ASME. All rights reserved.
From: Uncertain Friction-Induced Vibration Study: Coupling of Fuzzy Logic, Fuzzy Sets, and Interval Theories
ASME J. Risk Uncertainty Part B. 2015;2(1): doi: /
Figure Legend:
Flowchart of the proposed uncertainty propagation strategy

8. Date of download: 10/21/2017
Copyright © ASME. All rights reserved.
From: Uncertain Friction-Induced Vibration Study: Coupling of Fuzzy Logic, Fuzzy Sets, and Interval Theories
ASME J. Risk Uncertainty Part B. 2015;2(1): doi: /
Figure Legend:
Definition of fuzzy input parameters

9. Date of download: 10/21/2017
Copyright © ASME. All rights reserved.
From: Uncertain Friction-Induced Vibration Study: Coupling of Fuzzy Logic, Fuzzy Sets, and Interval Theories
ASME J. Risk Uncertainty Part B. 2015;2(1): doi: /
Figure Legend:
Membership functions of normal and tangential contact loads and dynamical friction coefficient after the first step

10. Date of download: 10/21/2017
Copyright © ASME. All rights reserved.
From: Uncertain Friction-Induced Vibration Study: Coupling of Fuzzy Logic, Fuzzy Sets, and Interval Theories
ASME J. Risk Uncertainty Part B. 2015;2(1): doi: /
Figure Legend:
Membership functions of normal and tangential contact loads and dynamical friction coefficient after the second step

11. Date of download: 10/21/2017
Copyright © ASME. All rights reserved.
From: Uncertain Friction-Induced Vibration Study: Coupling of Fuzzy Logic, Fuzzy Sets, and Interval Theories
ASME J. Risk Uncertainty Part B. 2015;2(1): doi: /
Figure Legend:
Membership functions of x-axis and y-axis positions of node C for the second step

12. Date of download: 10/21/2017
Copyright © ASME. All rights reserved.
From: Uncertain Friction-Induced Vibration Study: Coupling of Fuzzy Logic, Fuzzy Sets, and Interval Theories
ASME J. Risk Uncertainty Part B. 2015;2(1): doi: /
Figure Legend:
Membership functions of unstable frequencies

13. Date of download: 10/21/2017
Copyright © ASME. All rights reserved.
From: Uncertain Friction-Induced Vibration Study: Coupling of Fuzzy Logic, Fuzzy Sets, and Interval Theories
ASME J. Risk Uncertainty Part B. 2015;2(1): doi: /
Figure Legend:
Membership functions of the growth rate coefficient

14. Date of download: 10/21/2017
Copyright © ASME. All rights reserved.
From: Uncertain Friction-Induced Vibration Study: Coupling of Fuzzy Logic, Fuzzy Sets, and Interval Theories
ASME J. Risk Uncertainty Part B. 2015;2(1): doi: /
Figure Legend:
Membership function support of frequency and growth rate