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Date of download: 10/5/2017 Copyright © ASME. All rights reserved.

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1 Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear H-Shaped Springs to Improve Efficiency of Vibration Energy Harvesters J. Appl. Mech. 2013;80(6): doi: / Figure Legend: Generic model of vibration energy harvesters

2 Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear H-Shaped Springs to Improve Efficiency of Vibration Energy Harvesters J. Appl. Mech. 2013;80(6): doi: / Figure Legend: Clamped-guided beam

3 Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear H-Shaped Springs to Improve Efficiency of Vibration Energy Harvesters J. Appl. Mech. 2013;80(6): doi: / Figure Legend: Nonlinear effects in clamped-guided beams

4 Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear H-Shaped Springs to Improve Efficiency of Vibration Energy Harvesters J. Appl. Mech. 2013;80(6): doi: / Figure Legend: Boundary conditions for FEA

5 Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear H-Shaped Springs to Improve Efficiency of Vibration Energy Harvesters J. Appl. Mech. 2013;80(6): doi: / Figure Legend: Successive derivatives of FK(x) with respect to x: (a) FK, (b) F′K (c) F″K, (d) F‴K

6 Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear H-Shaped Springs to Improve Efficiency of Vibration Energy Harvesters J. Appl. Mech. 2013;80(6): doi: / Figure Legend: H-shaped spring design

7 Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear H-Shaped Springs to Improve Efficiency of Vibration Energy Harvesters J. Appl. Mech. 2013;80(6): doi: / Figure Legend: (a) Model of the new spring and equivalent behavior in (b) linear domain and (c) nonlinear domain

8 Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear H-Shaped Springs to Improve Efficiency of Vibration Energy Harvesters J. Appl. Mech. 2013;80(6): doi: / Figure Legend: Finite element analyses results. Deformation and Von Mises stresses σ in Pa for various x and for (L, b, e, l1, l2, a) = (3 mm, 1 mm, 100 μm, 100 μm, 100 μm, 1 mm) (a) x = 50 μm, (b) x = 100 μm, (c) x = 250 μm, and (d) x = 500 μm.

9 Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear H-Shaped Springs to Improve Efficiency of Vibration Energy Harvesters J. Appl. Mech. 2013;80(6): doi: / Figure Legend: Relative position (x) as a function of time (t) for nondamped oscillators

10 Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear H-Shaped Springs to Improve Efficiency of Vibration Energy Harvesters J. Appl. Mech. 2013;80(6): doi: / Figure Legend: Variation of the normalized natural frequency feq/f0 of the energy harvester as a function of the normalized displacement amplitude xmax/e (f0 = 100 Hz, e = 100 μm)

11 Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear H-Shaped Springs to Improve Efficiency of Vibration Energy Harvesters J. Appl. Mech. 2013;80(6): doi: / Figure Legend: Simulink model of VEH (a) linear and (b) nonlinear

12 Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear H-Shaped Springs to Improve Efficiency of Vibration Energy Harvesters J. Appl. Mech. 2013;80(6): doi: / Figure Legend: (a) Relative displacement and (b) output power of a nonlinear energy harvester as a function of α (A = 1 m s−2) for e = 100 μm

13 Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear H-Shaped Springs to Improve Efficiency of Vibration Energy Harvesters J. Appl. Mech. 2013;80(6): doi: / Figure Legend: Output powers of (a) a linear energy harvester and (b) a nonlinear energy harvester as a function of A (α = 1)

14 Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear H-Shaped Springs to Improve Efficiency of Vibration Energy Harvesters J. Appl. Mech. 2013;80(6): doi: / Figure Legend: Vibrations on a “car engine at 3000 rpm”: (a) temporal, (b) zoom between 8 s and 8.02 s, and (c) spectrum

15 Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear H-Shaped Springs to Improve Efficiency of Vibration Energy Harvesters J. Appl. Mech. 2013;80(6): doi: / Figure Legend: (a) Relative displacement and (b) zoom; (c) output power of the linear energy harvester for m = 1 g and (d) zoom

16 Date of download: 10/5/2017 Copyright © ASME. All rights reserved. From: Nonlinear H-Shaped Springs to Improve Efficiency of Vibration Energy Harvesters J. Appl. Mech. 2013;80(6): doi: / Figure Legend: (a) Relative displacement and (b) zoom; (c) output power of the nonlinear energy harvester for m = 1 g and (d) zoom


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