1. Date of download: 3/4/2018
Copyright © ASME. All rights reserved.
From: Dynamic Behavior of a Metamaterial Beam With Embedded Membrane-Mass Structures
J. Appl. Mech. 2017;84(12): doi: /
Figure Legend:
Coordinate system of a membrane with a concentrated mass

2. Date of download: 3/4/2018
Copyright © ASME. All rights reserved.
From: Dynamic Behavior of a Metamaterial Beam With Embedded Membrane-Mass Structures
J. Appl. Mech. 2017;84(12): doi: /
Figure Legend:
(a) A metamaterial beam with circular membrane-mass structures and (b) a unit cell of the metamaterial beam

3. Date of download: 3/4/2018
Copyright © ASME. All rights reserved.
From: Dynamic Behavior of a Metamaterial Beam With Embedded Membrane-Mass Structures
J. Appl. Mech. 2017;84(12): doi: /
Figure Legend:
Dispersion relation of the beam (a) with membrane-mass resonators and (b) without membrane-mass resonators

4. Date of download: 3/4/2018
Copyright © ASME. All rights reserved.
From: Dynamic Behavior of a Metamaterial Beam With Embedded Membrane-Mass Structures
J. Appl. Mech. 2017;84(12): doi: /
Figure Legend:
Mode shape at the initial frequency of the (a) first bandgap and (b) second bandgap

5. Date of download: 3/4/2018
Copyright © ASME. All rights reserved.
From: Dynamic Behavior of a Metamaterial Beam With Embedded Membrane-Mass Structures
J. Appl. Mech. 2017;84(12): doi: /
Figure Legend:
Dispersion relation of the metamaterial beam with varying (a) mass magnitude and (b) membrane tension

6. Date of download: 3/4/2018
Copyright © ASME. All rights reserved.
From: Dynamic Behavior of a Metamaterial Beam With Embedded Membrane-Mass Structures
J. Appl. Mech. 2017;84(12): doi: /
Figure Legend:
(a) Edge frequencies of the first bandgap with varying mass magnitude and (b) edge frequencies of the second bandgap with varying mass magnitude

7. Date of download: 3/4/2018
Copyright © ASME. All rights reserved.
From: Dynamic Behavior of a Metamaterial Beam With Embedded Membrane-Mass Structures
J. Appl. Mech. 2017;84(12): doi: /
Figure Legend:
(a) Edge frequencies of the first bandgap with varying membrane tension and (b) edge frequencies of the second bandgap with varying membrane tension

8. Date of download: 3/4/2018
Copyright © ASME. All rights reserved.
From: Dynamic Behavior of a Metamaterial Beam With Embedded Membrane-Mass Structures
J. Appl. Mech. 2017;84(12): doi: /
Figure Legend:
The dependence of resonant-type bandgaps on (a) membrane thickness and (b) membrane radius

9. Date of download: 3/4/2018
Copyright © ASME. All rights reserved.
From: Dynamic Behavior of a Metamaterial Beam With Embedded Membrane-Mass Structures
J. Appl. Mech. 2017;84(12): doi: /
Figure Legend:
Dispersion relation of the metamaterial beam with (a) two adjacent cells of different masses and (b) double-layer resonator (m = 0.126 g, g)

10. Date of download: 3/4/2018
Copyright © ASME. All rights reserved.
From: Dynamic Behavior of a Metamaterial Beam With Embedded Membrane-Mass Structures
J. Appl. Mech. 2017;84(12): doi: /
Figure Legend:
Comparison of the metamaterial beam with single-layer resonators and with double-layer resonators: (a) first bandgap and (b) second bandgap (m = 0.251 g)

11. Date of download: 3/4/2018
Copyright © ASME. All rights reserved.
From: Dynamic Behavior of a Metamaterial Beam With Embedded Membrane-Mass Structures
J. Appl. Mech. 2017;84(12): doi: /
Figure Legend:
The initial frequency of the first bandgap with different (a) mass magnitudes and (b) membrane tensions

12. Date of download: 3/4/2018
Copyright © ASME. All rights reserved.
From: Dynamic Behavior of a Metamaterial Beam With Embedded Membrane-Mass Structures
J. Appl. Mech. 2017;84(12): doi: /
Figure Legend:
The initial frequency of the first bandgap with different (a) membrane thicknesses and (b) membrane radii

13. Date of download: 3/4/2018
Copyright © ASME. All rights reserved.
From: Dynamic Behavior of a Metamaterial Beam With Embedded Membrane-Mass Structures
J. Appl. Mech. 2017;84(12): doi: /
Figure Legend:
Dynamic effective mass density of the metamaterial beam with single-layer resonators (ρ¯ho=ρho⋅Tho)

14. Date of download: 3/4/2018
Copyright © ASME. All rights reserved.
From: Dynamic Behavior of a Metamaterial Beam With Embedded Membrane-Mass Structures
J. Appl. Mech. 2017;84(12): doi: /
Figure Legend:
Dynamic effective mass density of the metamaterial beam with double-layer resonators (ρ¯ho=ρho⋅Tho)

15. Date of download: 3/4/2018
Copyright © ASME. All rights reserved.
From: Dynamic Behavior of a Metamaterial Beam With Embedded Membrane-Mass Structures
J. Appl. Mech. 2017;84(12): doi: /
Figure Legend:
The FRF of the host beam and metamaterial beam

16. Date of download: 3/4/2018
Copyright © ASME. All rights reserved.
From: Dynamic Behavior of a Metamaterial Beam With Embedded Membrane-Mass Structures
J. Appl. Mech. 2017;84(12): doi: /
Figure Legend:
Frequency response of the metamaterial beam with three kinds of masses

17. Date of download: 3/4/2018
Copyright © ASME. All rights reserved.
From: Dynamic Behavior of a Metamaterial Beam With Embedded Membrane-Mass Structures
J. Appl. Mech. 2017;84(12): doi: /
Figure Legend:
Comparison between the beam with single-layer resonators and the one with double-layer resonators (m = 0.251 g)

18. Date of download: 3/4/2018
Copyright © ASME. All rights reserved.
From: Dynamic Behavior of a Metamaterial Beam With Embedded Membrane-Mass Structures
J. Appl. Mech. 2017;84(12): doi: /
Figure Legend:
The FRF of the metamaterial beam with double-layer resonators of identical masses or different masses