From: Increasing the Efficiency of Energy Scavengers by Magnets Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Increasing the Efficiency of Energy Scavengers by Magnets J. Comput. Nonlinear Dynam. 2008;3(4):041001-041001-12. doi:10.1115/1.2960486 Figure Legend: A typical energy scavenger consists of a cantilever beam on which piezoelectric films and a mass, known as the proof mass, are mounted

From: Increasing the Efficiency of Energy Scavengers by Magnets Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Increasing the Efficiency of Energy Scavengers by Magnets J. Comput. Nonlinear Dynam. 2008;3(4):041001-041001-12. doi:10.1115/1.2960486 Figure Legend: A schematic of a beam with a proof mass at its tip. The vibration source exerts the acceleration ü(⋅). The transversal displacement of the beam at an x∊[0,l] and a t⩾0 is denoted by y(x,t).

From: Increasing the Efficiency of Energy Scavengers by Magnets Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Increasing the Efficiency of Energy Scavengers by Magnets J. Comput. Nonlinear Dynam. 2008;3(4):041001-041001-12. doi:10.1115/1.2960486 Figure Legend: A free magnet separated from a fixed attracting magnet by a glass plate of thickness γ. The free magnet moves toward the fixed one.

From: Increasing the Efficiency of Energy Scavengers by Magnets Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Increasing the Efficiency of Energy Scavengers by Magnets J. Comput. Nonlinear Dynam. 2008;3(4):041001-041001-12. doi:10.1115/1.2960486 Figure Legend: The graph of the nonlinear spring restoring force y↦Fd(y) in Eq. in Example 3.1 and the graph of the linear spring force y↦ky with k=1

From: Increasing the Efficiency of Energy Scavengers by Magnets Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Increasing the Efficiency of Energy Scavengers by Magnets J. Comput. Nonlinear Dynam. 2008;3(4):041001-041001-12. doi:10.1115/1.2960486 Figure Legend: Power spectral densities of yl and y in Example 3.1

From: Increasing the Efficiency of Energy Scavengers by Magnets Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Increasing the Efficiency of Energy Scavengers by Magnets J. Comput. Nonlinear Dynam. 2008;3(4):041001-041001-12. doi:10.1115/1.2960486 Figure Legend: The graph of y↦Fs(y) in Eq. constructed in Example 3.2 compared to that of y↦Fd(y) in Eq.

From: Increasing the Efficiency of Energy Scavengers by Magnets Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Increasing the Efficiency of Energy Scavengers by Magnets J. Comput. Nonlinear Dynam. 2008;3(4):041001-041001-12. doi:10.1115/1.2960486 Figure Legend: The strengths and positions of the 24 magnets determined in Example 3.2

From: Increasing the Efficiency of Energy Scavengers by Magnets Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Increasing the Efficiency of Energy Scavengers by Magnets J. Comput. Nonlinear Dynam. 2008;3(4):041001-041001-12. doi:10.1115/1.2960486 Figure Legend: The graphs of y↦Fd(y) and y↦Fs(y) in Example 3.4 and that of y↦ky with k=1

From: Increasing the Efficiency of Energy Scavengers by Magnets Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Increasing the Efficiency of Energy Scavengers by Magnets J. Comput. Nonlinear Dynam. 2008;3(4):041001-041001-12. doi:10.1115/1.2960486 Figure Legend: The graph of y↦Fs(y) in Example 3.6 and that of y↦ky with k=1