Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear Dynamic Analysis of an Icosahedron Frame which Exhibits Chaotic Behavior J. Comput. Nonlinear Dynam. 2016;12(1):011006-011006-10. doi:10.1115/1.4034265 Figure Legend: Icosahedron frame with boundary conditions (top and bottom vertex constrained in the x and y direction) and external applied loading
Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear Dynamic Analysis of an Icosahedron Frame which Exhibits Chaotic Behavior J. Comput. Nonlinear Dynam. 2016;12(1):011006-011006-10. doi:10.1115/1.4034265 Figure Legend: Boundary condition 2 (antisymmetric condition) load–displacement curve exhibiting snapback behavior
Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear Dynamic Analysis of an Icosahedron Frame which Exhibits Chaotic Behavior J. Comput. Nonlinear Dynam. 2016;12(1):011006-011006-10. doi:10.1115/1.4034265 Figure Legend: Boundary condition 3 (symmetric condition) load–displacement curve [2]
Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear Dynamic Analysis of an Icosahedron Frame which Exhibits Chaotic Behavior J. Comput. Nonlinear Dynam. 2016;12(1):011006-011006-10. doi:10.1115/1.4034265 Figure Legend: Ramp input and response for a 1D spring-mass system
Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear Dynamic Analysis of an Icosahedron Frame which Exhibits Chaotic Behavior J. Comput. Nonlinear Dynam. 2016;12(1):011006-011006-10. doi:10.1115/1.4034265 Figure Legend: Single pendulum system (top) and phase-plane trajectory (bottom) [7]
Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear Dynamic Analysis of an Icosahedron Frame which Exhibits Chaotic Behavior J. Comput. Nonlinear Dynam. 2016;12(1):011006-011006-10. doi:10.1115/1.4034265 Figure Legend: Double pendulum system with different initial conditions (left) and the trajectories of the two points corresponding to each pendulum (right) [8]
Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear Dynamic Analysis of an Icosahedron Frame which Exhibits Chaotic Behavior J. Comput. Nonlinear Dynam. 2016;12(1):011006-011006-10. doi:10.1115/1.4034265 Figure Legend: Phase space plot of single pendulum motion decaying to attractor [6]
Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear Dynamic Analysis of an Icosahedron Frame which Exhibits Chaotic Behavior J. Comput. Nonlinear Dynam. 2016;12(1):011006-011006-10. doi:10.1115/1.4034265 Figure Legend: Load one displacement versus time response, PSD plot, phase-plane trajectory, and Lyapunov exponent convergence (clockwise from top-left) for nonchaotic, purely periodic motion
Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear Dynamic Analysis of an Icosahedron Frame which Exhibits Chaotic Behavior J. Comput. Nonlinear Dynam. 2016;12(1):011006-011006-10. doi:10.1115/1.4034265 Figure Legend: Load number 1 delay reconstructed attractor
Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear Dynamic Analysis of an Icosahedron Frame which Exhibits Chaotic Behavior J. Comput. Nonlinear Dynam. 2016;12(1):011006-011006-10. doi:10.1115/1.4034265 Figure Legend: Load four displacement versus time response, PSD plot, phase-plane trajectory, and Lyapunov exponent convergence (clockwise from top-left) for slightly chaotic, perturbed periodic motion
Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear Dynamic Analysis of an Icosahedron Frame which Exhibits Chaotic Behavior J. Comput. Nonlinear Dynam. 2016;12(1):011006-011006-10. doi:10.1115/1.4034265 Figure Legend: Load number four delay reconstructed attractor
Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear Dynamic Analysis of an Icosahedron Frame which Exhibits Chaotic Behavior J. Comput. Nonlinear Dynam. 2016;12(1):011006-011006-10. doi:10.1115/1.4034265 Figure Legend: Load three displacement versus time response, PSD plot, phase-plane trajectory, and Lyapunov exponent convergence (clockwise from top-left) for highly chaotic motion
Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear Dynamic Analysis of an Icosahedron Frame which Exhibits Chaotic Behavior J. Comput. Nonlinear Dynam. 2016;12(1):011006-011006-10. doi:10.1115/1.4034265 Figure Legend: Load number 3 delay reconstructed attractor