scholarly journals Flexural Band Gaps and Vibration Control of a Periodic Railway Track

2021 ◽  
Author(s):  
Mohd Iqbal ◽  
Anil Kumar ◽  
Mahesh Murugan Jaya ◽  
Oreste Salvatore Bursi
Keyword(s):  
Vibration Control ◽  
Periodic Structures ◽  
Gaussian White Noise ◽  
Railway Track ◽  
Flexural Wave ◽  
Acoustic Filters ◽  
Gap Characteristics ◽  
Flexural Wave Propagation ◽  
Noise Input ◽  
Pass Through

Abstract Periodic structures exhibit unique band gap characteristics by virtue of which they behave as vibro-acoustic filters thereby allowing only waves within a certain frequency range to pass through. In this paper, both lateral and vertical flexural wave propagation and vibration control of a periodic railway track are studied in depth. More precisely, a rail fastened on rigid sleeper blocks is modeled with an Euler-Bernoulli beam. The dispersion relations in both lateral and vertical directions are obtained using the Floquet-Bloch theorem and the resulting dispersion curves are verified using finite element (FE) models. Afterwards, tuned mass dampers (TMDs) with different mass ratios are designed to control vibrations of the examined rail along both lateral and vertical directions. Moreover, the influence of damping of rail and resonators on band structures is investigated. As a replacement to the conventional TMD, a novel possibility to control vibrations relies on using another rail as a lateral distributed resonator (LDR). Although the effectiveness of LDR is lower than that of localized resonators, the former represents a simple and promising way to control vibrations. Efficacy of the proposed control methods is finally verified using the results of transient simulation based on a random Gaussian white noise input.

scholarly journals Flexural band gaps and vibration control of a periodic railway track

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Mohd Iqbal ◽  
Anil Kumar ◽  
Mahesh Murugan Jaya ◽  
Oreste Salvatore Bursi
Keyword(s):  
Vibration Control ◽  
Band Gap ◽  
Periodic Structures ◽  
Control Strategies ◽  
Gaussian White Noise ◽  
Railway Track ◽  
Flexural Wave ◽  
Gap Characteristics ◽  
Flexural Wave Propagation ◽  
Pass Through

AbstractPeriodic structures exhibit unique band gap characteristics by virtue of which they behave as vibro-acoustic filters thereby allowing only waves within a certain frequency range to pass through. In this paper, lateral and vertical flexural wave propagation and vibration control of a railway track periodically supported on rigid sleepers using fastenings are studied in depth. The dispersion relations in both lateral and vertical directions are obtained using the Floquet-Bloch theorem and the resulting dispersion curves are verified using finite element models. Afterwards, tuned mass dampers (TMDs) with different mass ratios are designed to control vibrations of the examined rail in both the directions. Moreover, the influence of damping of rail and resonators on band gap characteristics is investigated. As a replacement to the conventional TMD, a novel possibility to control vibration relies on using another existing rail as a lateral distributed resonator (LDR). Although the effectiveness of LDR is lower than that of localized resonators, the former represents a simple and promising way to control vibrations. Efficacy of the proposed control methods is finally verified by applying a random Gaussian white noise input. The study presented here is useful to understand the propagation and attenuation behavior of flexural waves and to develop efficient and novel vibration control strategies for track structures.

scholarly journals Flexural Wave Propagation in Beam with Dispersion

1984 ◽  
Vol 27 (231) ◽  
pp. 2008-2015 ◽  
Author(s):  
Kenzou NONAMI ◽  
Noboru TOMINARI ◽  
Takayoshi TOTANI
Keyword(s):  
Wave Propagation ◽  
Flexural Wave ◽  
Flexural Wave Propagation

Vibration Response and Wave Propagation in Periodic Structures

1971 ◽  
Vol 93 (3) ◽  
pp. 783-792 ◽  
Author(s):  
Denys J. Mead
Keyword(s):  
Periodic Structures ◽  
Vibration Response ◽  
Flexural Wave ◽  
Wave Groups ◽  
Pressure Fields ◽  
Finite Structures ◽  
Modal Density ◽  
Flexible Supports ◽  
Physical Insight ◽  
Structural Configurations

The vibration response of periodic, beam-like structures has conventionally been studied either by transfer matrix or normal mode methods. The latter method becomes unwieldy if the damping and modal density are high, whereas the former method does not lend itself readily to giving physical understanding. It is shown in this paper that a special class of flexural wave groups can exist in periodic structures; an understanding of them permits a ready formulation of the response-calculation problem. The formulation can be applied to both infinite and finite structures, and the amount of damping present may have any value. The method is specially well adapted to studying response due to convected pressure fields and loadings and gives great physical insight. Illustrations are given relating to beams resting at regular intervals on flexible supports and to aeronautical rib-skin structures. Some calculated values of vibration response are presented and discussed and optimum structural configurations are considered.

scholarly journals Modeling of Flexural Wave Propagation in a Plate with Contacting Interfaces

2010 ◽  
Vol 4 (8) ◽  
pp. 1186-1197 ◽  
Author(s):  
Shiro BIWA ◽  
Satoshi KISHIWADA ◽  
Claude INSERRA ◽  
Eiji MATSUMOTO
Keyword(s):  
Wave Propagation ◽  
Flexural Wave ◽  
Flexural Wave Propagation
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