Dynamic response of double beam rested on stochastic foundation under harmonic moving load

Mohammadzadeh, Saeed; Esmaeili, Morteza; Mehrali, Mohammad

doi:10.1002/nag.2227

Cited by 21 publications

(13 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Combining Eqs. (5), (6) and (14), the coupled equation of the motion of the vehicle-track system can be obtained as (Henchi et al, 1988…”

Section: Y T C C C C Y T K K K K Y T C Y T K Y T C Y T K Y T C Y T K mentioning

confidence: 99%

“…In the forward analysis of a train-track system, most researchers used the differential equation to derive the equation of motion of the rail substructures (Zhai and Cai, 1997;Uzzal et al, 2008;Mohammadzadeh et al, 2014 ) with the modal decomposition method. The number of mode shapes is required to be greater than or equal to 60 for good convergence results.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Identification of Railway Ballasted Track Systems from Dynamic Responses of In-Service Trains

2018

View full text Add to dashboard Cite

Railway track is one of the most important part of the railway system, and its condition monitoring is essential to ensure the safety of trains and reduce maintenance cost. An adaptive regularization approach is adopted in this paper to identify the parameters of the railway ballasted track system (substructure) from dynamic measurements on the in-service vehicles. The vehicle-track interaction system is modelled as a discrete spring-mass model on Winkler elastic foundation. Damage is defined as the stiffness reduction of the track due to foundation settlement, loosening in the rail fastener and lack of compaction of the ballast. Accelerometers are installed on the underframe of the train to capture the dynamic responses from which the interaction forces between the vehicle and the railway track are determined. The damage of the railway track can be detected via changes in the interaction force. Numerical results show that the proposed approach can identify all stiffness parameters successfully at a low moving speed and at a high sampling rate when measurement noise is involved.

show abstract

“…Combining Eqs. (5), (6) and (14), the coupled equation of the motion of the vehicle-track system can be obtained as (Henchi et al, 1988…”

Section: Y T C C C C Y T K K K K Y T C Y T K Y T C Y T K Y T C Y T K mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Identification of Railway Ballasted Track Systems from Dynamic Responses of In-Service Trains

2018

View full text Add to dashboard Cite

show abstract

“…In addition, the lower beam rests on a viscoelastic foundation. The vertical stiffness of the support is described by a stochastic variable along the beam with a mean of k and a stochastic component of k s (x) (Mohammadzadeh et al, 2013). Here, κ(x) is a random stationary ergodic function with zero mean value and φ is a small constant parameter…”

Section: Theorymentioning

confidence: 99%

“…The response of the beams can be calculated by applying the inverse Fourier transform and using contour integrals . The mean values for the beam deflection and bending moment and the covariance of a random function can be calculated as described by Mohammadzadeh et al (2013) and Solnes (1997). …”

Section: Solutionmentioning

confidence: 99%

Dynamic response of ladder track rested on stochastic foundation under oscillating moving load

Mohammadzadeh¹,

Mehrali²

2017

jtam

Self Cite

View full text Add to dashboard Cite

The ladder track is a new type of an elastically supported vibration-reduction track system that has been applied to several urban railways. This paper is devoted to the investigation of dynamic behavior of a ladder track under an oscillating moving load. The track is represented by an infinite Timoshenko beam supported by a random elastic foundation. In this regard, equations of motion for the ladder track are developed in a moving frame of reference. In continuation, by employing perturbation theory and contour integration, the response of the ladder track is obtained analytically and its results are verified using the stochastic finite element method. Finally, using the verified model, a series of sensitivity analyses are accomplished on effecting parameters including velocity and load frequency.

show abstract

“…This consideration results in a double beam model which were used to simulate pavement or foundation beam lying over geocell improved earth bed subjected to static load (Maheshwari and Viladkar, 2009;Zhao et al, 2016;Zhang et al, 2018). Other engineering systems were also studied by utilizing such models to understand the behavior of response under moving load considering perfect contact between the top beam and neighboring material (Hussein and Hunt, 2006;Yuan et al, 2009;Auersch, 2012;Mohammadzadeh et al, 2014;Deng et al, 2017).…”

Section: Introductionmentioning

confidence: 99%

Modeling of Rail Tracks on Stone Column Reinforced Tensionless Foundations

Bhatra

Maheshwari

2019

Front. Built Environ.

View full text Add to dashboard Cite

This research investigates the response of rails on geocell-stone column composite reinforced foundation beds under a moving load. Improved earth bed has been considered to respond only to compressive forces. The granular mat below the rail has been idealized as a Pasternak shear layer and geocell reinforcement as an infinite beam with finite bending stiffness. Soft soil and stone columns have been symbolized by Winkler springs of different stiffnesses. Analysis has been carried out with due consideration to viscous damping in the system. The governing differential equations have been established and simplified for general use with the help of dimensionless parameters. These equations have been solved in presence of appropriate boundary conditions by utilizing Finite difference method in combination with iterative Gauss-Seidel procedure. Inclusion of stone columns has been observed to significantly affect the onset of separation between rail and the soil layer underneath. Various parameters namely, applied load and its velocity, stiffnesses of top, bottom soil layers and stone columns, damping ratio, relative flexural rigidity, depth of placement of geocell, configuration of stone columns have been found to affect the response of soil-foundation system significantly. Improvement in the properties of soil by means of higher value of relative compressibility resulted in typical reduction of 50% in maximum deflection. It has been observed that the region of detachment reduces on increasing the depth of placement of the bottom beam. Sensitivity analysis highlighted the greater sensitivity of upward deflection as compared to the downward deflection of rail with respect to all the parameters except for relative compressibility of the soil and relative stiffness of the stone columns.

show abstract

Dynamic response of double beam rested on stochastic foundation under harmonic moving load

Cited by 21 publications

References 18 publications

Identification of Railway Ballasted Track Systems from Dynamic Responses of In-Service Trains

Identification of Railway Ballasted Track Systems from Dynamic Responses of In-Service Trains

Dynamic response of ladder track rested on stochastic foundation under oscillating moving load

Modeling of Rail Tracks on Stone Column Reinforced Tensionless Foundations

Contact Info

Product

Resources

About