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Date of download: 10/21/2017 Copyright © ASME. All rights reserved.

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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


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