Date of download: 10/13/2017 Copyright © ASME. All rights reserved. From: Duffing Oscillator With Parametric Excitation: Analytical and Experimental Investigation on a Belt-Pulley System J. Comput. Nonlinear Dynam. 2008;3(3):031001-031001-6. doi:10.1115/1.2908160 Figure Legend: Square of the first three natural frequencies of a beam as a function of its tension, measured (×, +, and *) and predicted (solid lines)

Date of download: 10/13/2017 Copyright © ASME. All rights reserved. From: Duffing Oscillator With Parametric Excitation: Analytical and Experimental Investigation on a Belt-Pulley System J. Comput. Nonlinear Dynam. 2008;3(3):031001-031001-6. doi:10.1115/1.2908160 Figure Legend: Parametric excitation experimental setup

Date of download: 10/13/2017 Copyright © ASME. All rights reserved. From: Duffing Oscillator With Parametric Excitation: Analytical and Experimental Investigation on a Belt-Pulley System J. Comput. Nonlinear Dynam. 2008;3(3):031001-031001-6. doi:10.1115/1.2908160 Figure Legend: Three different positions captured with a high speed camera of the first mode shape of the tested belt span for the primary instability. Ω=6.2, ε=0.2.

Date of download: 10/13/2017 Copyright © ASME. All rights reserved. From: Duffing Oscillator With Parametric Excitation: Analytical and Experimental Investigation on a Belt-Pulley System J. Comput. Nonlinear Dynam. 2008;3(3):031001-031001-6. doi:10.1115/1.2908160 Figure Legend: Three different positions captured with a high speed camera of the third mode shape of the tested belt span due to longitudinal-transverse coupling. Ω=4.8, ε=0.2.

Date of download: 10/13/2017 Copyright © ASME. All rights reserved. From: Duffing Oscillator With Parametric Excitation: Analytical and Experimental Investigation on a Belt-Pulley System J. Comput. Nonlinear Dynam. 2008;3(3):031001-031001-6. doi:10.1115/1.2908160 Figure Legend: Three different positions captured with a high speed camera of a belt end showing the boundary condition evolution. Ω=6.0, ε=0.3.

Date of download: 10/13/2017 Copyright © ASME. All rights reserved. From: Duffing Oscillator With Parametric Excitation: Analytical and Experimental Investigation on a Belt-Pulley System J. Comput. Nonlinear Dynam. 2008;3(3):031001-031001-6. doi:10.1115/1.2908160 Figure Legend: Three different positions captured with a high speed camera of torsion mode of the tested belt span due to longitudinal-torsion coupling. Ω=5.6, ε=0.12.

Date of download: 10/13/2017 Copyright © ASME. All rights reserved. From: Duffing Oscillator With Parametric Excitation: Analytical and Experimental Investigation on a Belt-Pulley System J. Comput. Nonlinear Dynam. 2008;3(3):031001-031001-6. doi:10.1115/1.2908160 Figure Legend: Parametric instability region for varying amplitude and frequency; observed instabilities (⋅: secondary instability region, +: sweep up, *: sweep down)

Date of download: 10/13/2017 Copyright © ASME. All rights reserved. From: Duffing Oscillator With Parametric Excitation: Analytical and Experimental Investigation on a Belt-Pulley System J. Comput. Nonlinear Dynam. 2008;3(3):031001-031001-6. doi:10.1115/1.2908160 Figure Legend: Frequency responses. Measured (+: sweep up, *: sweeep down), predicted with damping (−−: unstable branch, −: stable branch), and predicted without damping (..). ε=0.17, α̂=495, χ̂=71.7.

Date of download: 10/13/2017 Copyright © ASME. All rights reserved. From: Duffing Oscillator With Parametric Excitation: Analytical and Experimental Investigation on a Belt-Pulley System J. Comput. Nonlinear Dynam. 2008;3(3):031001-031001-6. doi:10.1115/1.2908160 Figure Legend: Force response. Measured (+: tuning up, *: tuning down), predicted with damping (−−: unstable branch, −: stable branch), and predicted without damping (..). Ω=6.4, α̂=495, χ̂=71.7.