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International Journal of Solids and Structures 40 (2003) 465–491
ate/ijsolstr
Vibration suppression for high-speed railway bridges
using tuned mass dampers
. Wang a, . Lin a,*, . Chen b
a Department of Civil Engineering, National Chung-Hsing University, Taichung, Taiwan, 402 ROC
b Department of Civil Engineering, National Lien-Ho Institute of Technology, Miaoli, Taiwan, 360 ROC
Received 3 July 2001; received in revised form 4 October 2002
Abstract
This paper deals with the applicability of passive tuned mass dampers (PTMDs) to suppress train-induced vibration
on bridges. A railway bridge is modeled as an Euler–Bernouli beam and a train is simulated as series of moving forces,
moving masses or moving suspension masses to investigate the influence of various vehicle models on the bridge fea-
tures with or without PTMD. According to the train load frequency analysis, the resonant effects will occur as the
modal frequencies of the bridges are close to the multiple of the impact frequency of the train load to the bridge. A
single PTMD system is then designed to alter the bridge dynamic characteristics to avoid excessive vibrations. Nu-
merical results from simply supported bridges of Taiwan High-Speed Railway (THSR) under German ., Japanese
. and French . trains show that the proposed PTMD is a useful vibration control device in reducing bridge
vertical displacements, absolute accelerations, end rotations and train accelerations during resonant speeds, as the train
axle arrangement is regular. It is also found that the inner space of bridge box girder of THSR is wide and deep enough
for the installation and movement of PTMD.
Ó 2003 Elsevier Science Ltd. All rights reserved.
Keywords: High-speed railway bridge; Tuned mass dampers; Train loads; Resonant train speed; Vibration suppression
1. Introduction
In general, transportation infrastructure is an important factor affecting the development of a national
economy. Beca

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