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):011008-011008-12. doi:10.1115/1.4030469 Figure Legend: Description of the beam-on-beam system

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):011008-011008-12. doi:10.1115/1.4030469 Figure Legend: Frequency and growth rate of the studied system

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):011008-011008-12. doi:10.1115/1.4030469 Figure Legend: Triangular and trapezoidal membership functions

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):011008-011008-12. doi:10.1115/1.4030469 Figure Legend: Definition of the interval approach

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):011008-011008-12. doi:10.1115/1.4030469 Figure Legend: Propagation of uncertainty for fuzzy data

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):011008-011008-12. doi:10.1115/1.4030469 Figure Legend: Computational procedure for the contact problem

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):011008-011008-12. doi:10.1115/1.4030469 Figure Legend: Flowchart of the proposed uncertainty propagation strategy

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):011008-011008-12. doi:10.1115/1.4030469 Figure Legend: Definition of fuzzy input parameters

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):011008-011008-12. doi:10.1115/1.4030469 Figure Legend: Membership functions of normal and tangential contact loads and dynamical friction coefficient after the first step

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):011008-011008-12. doi:10.1115/1.4030469 Figure Legend: Membership functions of normal and tangential contact loads and dynamical friction coefficient after the second step

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):011008-011008-12. doi:10.1115/1.4030469 Figure Legend: Membership functions of x-axis and y-axis positions of node C for the second step

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):011008-011008-12. doi:10.1115/1.4030469 Figure Legend: Membership functions of unstable frequencies

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):011008-011008-12. doi:10.1115/1.4030469 Figure Legend: Membership functions of the growth rate coefficient

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):011008-011008-12. doi:10.1115/1.4030469 Figure Legend: Membership function support of frequency and growth rate