1. Date of download: 11/14/2017
Copyright © ASME. All rights reserved.
From: Three-to-One Resonant Responses of Inextensional Beams on the Elastic Foundation
J. Vib. Acoust. 2013;135(1): doi: /
Figure Legend:
The beam resting on the elastic foundation

2. Date of download: 11/14/2017
Copyright © ASME. All rights reserved.
From: Three-to-One Resonant Responses of Inextensional Beams on the Elastic Foundation
J. Vib. Acoust. 2013;135(1): doi: /
Figure Legend:
Planar natural frequency spectrum of the clamped-free beam for different K1

3. Date of download: 11/14/2017
Copyright © ASME. All rights reserved.
From: Three-to-One Resonant Responses of Inextensional Beams on the Elastic Foundation
J. Vib. Acoust. 2013;135(1): doi: /
Figure Legend:
Modal contributions to nonlinear coefficients of C-F beam: (a) stiff-soil beam; (b) soft-soil beam

4. Date of download: 11/14/2017
Copyright © ASME. All rights reserved.
From: Three-to-One Resonant Responses of Inextensional Beams on the Elastic Foundation
J. Vib. Acoust. 2013;135(1): doi: /
Figure Legend:
Pareto chart of the effective nonlinear coefficients

5. Date of download: 11/14/2017
Copyright © ASME. All rights reserved.
From: Three-to-One Resonant Responses of Inextensional Beams on the Elastic Foundation
J. Vib. Acoust. 2013;135(1): doi: /
Figure Legend:
Frequency-response curves of the beam on the elastic foundation with f1=0.006 when Ω≈ω1: (a) stiff-soil beam; (b) soft-soil beam

6. Date of download: 11/14/2017
Copyright © ASME. All rights reserved.
From: Three-to-One Resonant Responses of Inextensional Beams on the Elastic Foundation
J. Vib. Acoust. 2013;135(1): doi: /
Figure Legend:
Force-response curves of the beam on the elastic foundation with σ2=0.04 when Ω≈ω1: (a) stiff-soil beam; (b) soft-soil beam

7. Date of download: 11/14/2017
Copyright © ASME. All rights reserved.
From: Three-to-One Resonant Responses of Inextensional Beams on the Elastic Foundation
J. Vib. Acoust. 2013;135(1): doi: /
Figure Legend:
Periodic solution branch of the modulation equations when Ω≈ω1: (a) stiff-soil beam; (b) soft-soil beam

8. Date of download: 11/14/2017
Copyright © ASME. All rights reserved.
From: Three-to-One Resonant Responses of Inextensional Beams on the Elastic Foundation
J. Vib. Acoust. 2013;135(1): doi: /
Figure Legend:
The time-period of the periodic solutions

9. Date of download: 11/14/2017
Copyright © ASME. All rights reserved.
From: Three-to-One Resonant Responses of Inextensional Beams on the Elastic Foundation
J. Vib. Acoust. 2013;135(1): doi: /
Figure Legend:
Frequency-response curves of the beam on the elastic foundation with f2=0.010 when Ω≈ω2: (a) stiff-soil beam; (b) soft-soil beam

10. Date of download: 11/14/2017
Copyright © ASME. All rights reserved.
From: Three-to-One Resonant Responses of Inextensional Beams on the Elastic Foundation
J. Vib. Acoust. 2013;135(1): doi: /
Figure Legend:
Force-response curves of the beam on the elastic foundation with σ2=0.10 when Ω≈ω2: (a) stiff-soil beam; (b) soft-soil beam

11. Date of download: 11/14/2017
Copyright © ASME. All rights reserved.
From: Three-to-One Resonant Responses of Inextensional Beams on the Elastic Foundation
J. Vib. Acoust. 2013;135(1): doi: /
Figure Legend:
Periodic solution branch of the modulation equations of soft-soil beam when Ω≈ω2

12. Date of download: 11/14/2017
Copyright © ASME. All rights reserved.
From: Three-to-One Resonant Responses of Inextensional Beams on the Elastic Foundation
J. Vib. Acoust. 2013;135(1): doi: /
Figure Legend:
The quasi-periodic solution of the modulation equations with σ2=0.154: (a) time history; (b) Fourier spectrum; (c) Poincaré section

13. Date of download: 11/14/2017
Copyright © ASME. All rights reserved.
From: Three-to-One Resonant Responses of Inextensional Beams on the Elastic Foundation
J. Vib. Acoust. 2013;135(1): doi: /
Figure Legend:
The chaotic solution of the modulation equations with f2=0.011: (a) phase portrait; (b) Fourier spectrum; (c) Poincaré section

14. Date of download: 11/14/2017
Copyright © ASME. All rights reserved.
From: Three-to-One Resonant Responses of Inextensional Beams on the Elastic Foundation
J. Vib. Acoust. 2013;135(1): doi: /
Figure Legend:
The shear force of the clamped-free beams and kinetic energy of the soil medium when (a) (c): Ω≈ω1, (b) (d): Ω≈ω2

15. Date of download: 11/14/2017
Copyright © ASME. All rights reserved.
From: Three-to-One Resonant Responses of Inextensional Beams on the Elastic Foundation
J. Vib. Acoust. 2013;135(1): doi: /
Figure Legend:
Modal contributions to nonlinear coefficients: (a) hinged-free beam; (b) free-free beam