Double Beam Model for Reinforced Tensionless Foundations under Moving Loads

Bhatra, Shashank; Maheshwari, Piyush

doi:10.1007/s12205-019-1609-6

Cited by 12 publications

(5 citation statements)

References 1 publication

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“…For lower range of velocities around (1-30) km/h, the control of RMS of displacement for the primary beam, secondary beam and the vehicle is not significant using either single or multiple TMDs. For velocity range of around (30)(31)(32)(33)(34)(35)(36)(37)(38)(39)(40)(41)(42)(43)(44)(45) km/h, the TMDs detune in this region and adversely effect the displacement response by around 2%. The TMDs start performing better for higher range of velocity around (60-180) km/h where the displacement response control is around 4% using multiple TMDs and around 1% for a single TMD.…”

Section: Vibration Analysis Of Double Beam With a Quarter Carmentioning

confidence: 99%

“…Figure 23 shows the velocity range where the TMDs are failing to control the acceleration response of the vehicle. In a narrow range of (38)(39)(40)(41)(42)(43)(44)(45) km/h, the TMDs adversely effect the primary system and increase the responses by approximately 0.5%.…”

Section: Vibration Analysis Of Double Beam With a Quarter Carmentioning

confidence: 99%

“…Stability of such systems due to random forces has been investigated by Pavlović et al 27 For non‐linear multilevel beams, a harmonic balance method 29 has been observed to be effective. Bhatra and Maheshwari 44 has modelled a double‐beam system for track–subgrade interaction 45 , 46 with moving loads. While Rezaiee‐Pajand et al 47 indicate vibration suppression, it only looks into influence of system parameters on the free vibration response.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic responses of a damaged double Euler–Bernoulli beam traversed by a ‘phantom’ vehicle

Chawla

Pakrashi

2022

Structural Contr & Hlth

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Summary In this paper, the dynamic response of a damaged double‐beam system traversed by a moving load is studied, including passive control using multiple tuned mass dampers. The double‐beam system is composed of two homogeneous isotropic Euler–Bernoulli beams connected by a viscoelastic layer. The damaged upper beam is simulated using a double‐sided open crack replaced by an equivalent rotational spring between two beam segments, and the lower primary beam is subjected to a moving load. The load is represented by a moving Dirac delta function and by a quarter car model, respectively. Road surface roughness (RSR) is classified as per ISO 8606:1995(E). The effect of vehicle speed of the moving oscillator and variable RSR profiles on the dynamics of this damaged double Euler–Bernoulli beam system for different crack‐depth ratios (CDRs) at various crack locations is studied. It is observed that coupling of two beams leads to a vehicular effect on the damaged beam, even when no vehicle on it is present. The effects of single and multiple tuned mass dampers to control the vibrational responses of the primary beam due to damage on the secondary beam is studied next. The performance of tuned mass dampers to reduce the transverse vibrations of the damaged double‐beam system and of the quarter car is investigated. The paper links the coupling between the two levels of double beam with the inertial coupling of the vehicle to the double‐beam system.

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Section: Vibration Analysis Of Double Beam With a Quarter Carmentioning

confidence: 99%

Section: Vibration Analysis Of Double Beam With a Quarter Carmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dynamic responses of a damaged double Euler–Bernoulli beam traversed by a ‘phantom’ vehicle

Chawla

Pakrashi

2022

Structural Contr & Hlth

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“…Brito et al (2019) presented a direct boundary element method formulation for bending of Euler–Bernoulli double-beam system connected by a Pasternak elastich layer. Bhatra and Maheshwari (2019) proposed double beam model to study the dynamic response of rails on damped tensionless foundation with geocell inclusion subjected to moving load having constant velocity.…”

Section: Introductionmentioning

confidence: 99%

A multi-layer moving plate method for dynamic analysis of viscoelastically connected double-plate systems subjected to moving loads

Cao

Reddy

Lieu

et al. 2021

Advances in Structural Engineering

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This article aims to firstly introduce a computational approach, named multi-layer moving plate method (MMPM), to dynamic analysis of viscoelastically connected infinitely long double-plate systems subjected to moving loads. The Reissner-Mindlin plate theory is utilized to describe the displacement field through the thickness of each plate, whilst quadratic serendipity shape functions are employed to represent unknown fields in finite element analyses (FEAs). The governing equations of motion of connected double-plate system are established in a moving coordinate system attached to the moving load. As a consequence, the paradigm can absolutely eradicate the update process of force vector since the applied load is taken into account as “stationary” in its coordinate system. First, several numerical examples for static, free vibration and dynamic analyses are exhibited to verify the accuracy of the proposed MMPM. Then, the influences of various parameters such as load’s velocity, damping coefficient, stiffness coefficient, and plate thickness on the dynamic responses of double-plate system are examined in great detail.

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“…For reinforced earth beds, Maheshwari et al (2004Maheshwari et al ( , 2005 considered the tensionless foundations for geosynthetic membrane reinforced earth bed. Bhatra and Maheshwari (2019) considered finite bending stiffness of geosynthetics. Further, Maheshwari (2014) studied effect of inclusion of stone columns in such systems.…”

Section: Introductionmentioning

confidence: 99%

Modeling of Rail Tracks on Stone Column Reinforced Tensionless Foundations

Bhatra

Maheshwari

2019

Front. Built Environ.

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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.

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Double Beam Model for Reinforced Tensionless Foundations under Moving Loads

Cited by 12 publications

References 1 publication

Dynamic responses of a damaged double Euler–Bernoulli beam traversed by a ‘phantom’ vehicle

Dynamic responses of a damaged double Euler–Bernoulli beam traversed by a ‘phantom’ vehicle

A multi-layer moving plate method for dynamic analysis of viscoelastically connected double-plate systems subjected to moving loads

Modeling of Rail Tracks on Stone Column Reinforced Tensionless Foundations

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