1. Date of download: 10/21/2017
Copyright © ASME. All rights reserved.
From: A Fractional Derivative Model for Rubber Spring of Primary Suspension in Railway Vehicle Dynamics
ASME J. Risk Uncertainty Part B. 2017;3(3): doi: /
Figure Legend:
Two models of the rubber spring: (a) Kelvin–Voigt model and (b) the proposed model

2. Date of download: 10/21/2017
Copyright © ASME. All rights reserved.
From: A Fractional Derivative Model for Rubber Spring of Primary Suspension in Railway Vehicle Dynamics
ASME J. Risk Uncertainty Part B. 2017;3(3): doi: /
Figure Legend:
Vertical vehicle–track coupled dynamics model

3. Date of download: 10/21/2017
Copyright © ASME. All rights reserved.
From: A Fractional Derivative Model for Rubber Spring of Primary Suspension in Railway Vehicle Dynamics
ASME J. Risk Uncertainty Part B. 2017;3(3): doi: /
Figure Legend:
Sketch of the local irregularity in welded joint: L donates the length of the long wave; λ is the length of the short wave; a1 and a2 are the amplitudes of the long wave and the short wave, respectively

4. Date of download: 10/21/2017
Copyright © ASME. All rights reserved.
From: A Fractional Derivative Model for Rubber Spring of Primary Suspension in Railway Vehicle Dynamics
ASME J. Risk Uncertainty Part B. 2017;3(3): doi: /
Figure Legend:
Hysteresis loops of new rubber model with different amplitudes ranging from 0.2 mm to 1 mm while the frequency is held constant at 1 Hz

5. Date of download: 10/21/2017
Copyright © ASME. All rights reserved.
From: A Fractional Derivative Model for Rubber Spring of Primary Suspension in Railway Vehicle Dynamics
ASME J. Risk Uncertainty Part B. 2017;3(3): doi: /
Figure Legend:
Variation of the equivalent stiffness and the damping ratio with the increasing of the harmonic excitation amplitude

6. Date of download: 10/21/2017
Copyright © ASME. All rights reserved.
From: A Fractional Derivative Model for Rubber Spring of Primary Suspension in Railway Vehicle Dynamics
ASME J. Risk Uncertainty Part B. 2017;3(3): doi: /
Figure Legend:
Hysteresis loops of the new rubber model at different frequencies ranging from 1 Hz to 100 Hz while the amplitude is constant at 1 mm

7. Date of download: 10/21/2017
Copyright © ASME. All rights reserved.
From: A Fractional Derivative Model for Rubber Spring of Primary Suspension in Railway Vehicle Dynamics
ASME J. Risk Uncertainty Part B. 2017;3(3): doi: /
Figure Legend:
Variation of the equivalent stiffness and the damping ratio with the increasing of the harmonic excitation frequency

8. Date of download: 10/21/2017
Copyright © ASME. All rights reserved.
From: A Fractional Derivative Model for Rubber Spring of Primary Suspension in Railway Vehicle Dynamics
ASME J. Risk Uncertainty Part B. 2017;3(3): doi: /
Figure Legend:
Dynamic response of the vehicle computed by two different models for the primary suspension: (a) vertical wheel–rail force, (b) vertical displacement of the front bogie, (c) vertical acceleration of the front bogie, and (d) vertical acceleration of the carbody

9. Date of download: 10/21/2017
Copyright © ASME. All rights reserved.
From: A Fractional Derivative Model for Rubber Spring of Primary Suspension in Railway Vehicle Dynamics
ASME J. Risk Uncertainty Part B. 2017;3(3): doi: /
Figure Legend:
Vertical wheel–rail force: (a) dynamic response in the time domain and (b) PSD in the frequency domain

10. Date of download: 10/21/2017
Copyright © ASME. All rights reserved.
From: A Fractional Derivative Model for Rubber Spring of Primary Suspension in Railway Vehicle Dynamics
ASME J. Risk Uncertainty Part B. 2017;3(3): doi: /
Figure Legend:
Vertical acceleration of the front bogie: (a) dynamic response in the time domain and (b) PSD in the frequency domain

11. Date of download: 10/21/2017
Copyright © ASME. All rights reserved.
From: A Fractional Derivative Model for Rubber Spring of Primary Suspension in Railway Vehicle Dynamics
ASME J. Risk Uncertainty Part B. 2017;3(3): doi: /
Figure Legend:
PSD of vertical carbody acceleration