A nonlinear and fractional derivative viscoelastic model for rail pads in the dynamic analysis of coupled vehicle–slab track systems

A novel viscoelastic model of four-wire suspension structure with damping gel in an optical pickup actuator was identified and validated. A two-stage method was developed for the identification of inertia, damping, and spring parameters in the dynamic model. The inertia and spring parameters were identified from static tests. With the identified parameters in the dynamic model, the damping parameters were identified through sinusoidal excitation tests. The accuracy of utilizing fractional derivative to model the damping of polymer damper was validated by carrying out error analysis. The fractional transfer function with voltage input was identified and compared with the transfer function of classical model.

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Dynamic analysis of the train and slab track coupling system with finite elements in a moving frame of reference

Journal of Vibration and Control ◽

10.1177/1077546313480540 ◽

2013 ◽

Vol 20 (9) ◽

pp. 1301-1317 ◽

Cited By ~ 31

Author(s):

Xiaoyan Lei ◽

Jian Wang

Keyword(s):

Finite Elements ◽

Dynamic Analysis ◽

Frame Of Reference ◽

Moving Frame ◽

Slab Track ◽

Coupling System

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Study on Dynamics Characteristics of Concrete Floating Slab Track in Urban Track

Key Engineering Materials ◽

10.4028/www.scientific.net/kem.302-303.700 ◽

2006 ◽

Vol 302-303 ◽

pp. 700-705 ◽

Cited By ~ 3

Author(s):

Gao Liang ◽

Ke Ming Yin ◽

Ge Yan Zhang

Keyword(s):

Finite Element ◽

Dynamic Analysis ◽

Dynamic Responses ◽

Finite Element Analyses ◽

Analysis Model ◽

Slab Track ◽

Stiffness And Damping

In this paper, in order to do research on the characteristics of reducing vibration and declining noise of concrete floating slab track, the vertical dynamic analysis model of vehiclefloating slab track is established with the use of finite element analyses method. By using this model, dynamic responses of floating slab track are studied under different conditions of train’s speed, stiffness and damping of infrastructure, structure size, etc. On the basis of this research, some suggestions for design of floating slab track are put forward.

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Dynamic analysis of a fractional order system

International Journal of Biomathematics ◽

10.1142/s1793524515500795 ◽

2015 ◽

Vol 08 (06) ◽

pp. 1550079

Author(s):

M. Javidi ◽

N. Nyamoradi

Keyword(s):

Stability Analysis ◽

Fractional Derivative ◽

Dynamic Analysis ◽

Fractional Order ◽

Local Stability ◽

Equilibrium Points ◽

Dynamical Behavior ◽

Order System ◽

Stability Conditions ◽

Hurwitz Stability

In this paper, we investigate the dynamical behavior of a fractional order phytoplankton–zooplankton system. In this paper, stability analysis of the phytoplankton–zooplankton model (PZM) is studied by using the fractional Routh–Hurwitz stability conditions. We have studied the local stability of the equilibrium points of PZM. We applied an efficient numerical method based on converting the fractional derivative to integer derivative to solve the PZM.

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Fractional Derivative Viscoelastic Model for the Analysis of Two Colliding Spherical Shells

Volume 12: Vibration, Acoustics and Wave Propagation ◽

10.1115/imece2012-87346 ◽

2012 ◽

Cited By ~ 1

Author(s):

Yury A. Rossikhin ◽

Marina V. Shitikova

Keyword(s):

Fractional Derivative ◽

Equations Of Motion ◽

Viscoelastic Model ◽

Wave Fronts ◽

Spherical Shells ◽

Reflected Waves ◽

Standard Linear Solid ◽

Standard Linear ◽

The Moment ◽

Contact Domain

The collision of two isotropic spherical shells is investigated for the case when the viscoelastic features of the shells represent themselves only in the place of contact and are governed by the standard linear solid model with fractional derivatives. Thus, the problem concerns the shock interaction of two shells, wherein the generalized fractional-derivative standard linear law instead of the Hertz contact law is employed as a low of interaction. The pans of the shells beyond the contact domain are assumed to be elastic, and their behavior is described by the equations of motion which take rotary inertia and shear deformations into account. The model developed here suggests that after the moment of impact quasi-longitudinal and quasi-transverse shock waves are generated, which then propagate along the spherical shells. Due to the short duration of contact interaction, the reflected waves are not taken into account. The solution behind the wave fronts is constructed with the help of the theory of discontinuities. To determine the desired values behind the wave fronts, one-term ray expansions are used, as well as the equations of motion of the contact domains for the both spherical shells.

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