移动荷载下高速铁路简支梁桥消振机理频域分析

摘要
图/表
参考文献(20)
相关文章 (15)

全文: PDF (1385 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要

桥梁动力响应问题随着列车运营速度的不断提高也愈加明显。为了保证列车在高速运行下引起的桥梁动力响应在安全范围内，则对建立列车运营时速与桥梁位移响应幅值之间的关系显得尤为重要。因此，针对多个移动荷载激励下桥梁消振机理提出了一种行之有效的频域分析方法。该方法首先对桥梁运动方程采用傅里叶变换，得到移动荷载匀速通过桥梁时的移动荷载傅里叶幅值谱；然后基于移动荷载傅里叶幅值谱，建立了移动荷载速度与桥梁消振效应之间的关系；最后以高速铁路简支梁为例验证了理论推导及分析的正确性和速度公式的有效性。结果表明：由频域得到的移动荷载傅里叶幅值谱能有效反映桥梁自由振动，与时域内得到的桥梁自由振动幅值响应规律一致；非等间距移动荷载作用下桥梁发生消振现象时,第一类移动荷载消振速度仅与桥梁跨度、基频有关，第二类移动荷载消振速度与桥梁基频、移动荷载间距有关。 

	服务

	把本文推荐给朋友
	加入我的书架
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章
	李锦华
	李添艺
	吴亮秦
	张焕涛

关键词 ：消振机理, 移动荷载, 简支梁桥, 高速铁路, 频域分析法

Abstract：The problem of bridge dynamic response becomes more and more obvious with the continuous improvement of train operating speed.In order to ensure that the bridge dynamic response caused by the train under high-speed operation is within the safe range, it is particularly important to establish the relationship between the train operation speed and the bridge displacement response amplitude.Therefore, an effective frequency-domain analysis method was proposed for the vibration cancellation mechanism of railway simply supported bridge under multiple moving loads.In this method, firstly, the Fourier transform was applied to the motion equation of the bridge to obtain the Fourier amplitude spectrum of moving loads for the case that the moving loads pass through the bridge at a uniform speed.Then, based on the Fourier amplitude spectrum, the relationship between the moving load speed and the bridge vibration cancellation effect was established.Finally, taking the simply supported beam of a high-speed railway as an example, the correctness of theoretical derivation and analysis and the effectiveness of speed formula were verified.The results show that: the Fourier amplitude spectrum of moving loads obtained in the frequency domain can effectively reflect the free vibration of bridge, which is consistent with the amplitude response of the free vibration of the bridge obtained from the time-domain; when the bridge vibration cancellation phenomena occur under non-equidistant moving loads, the first kind of the moving load cancellation speed is only related to the bridge span and fundamental frequency, and the second kind is related to the bridge fundamental frequency and the moving load spacing.

Key words： vibration cancellation mechanism moving loads simply supported bridge high-speed railway frequency-domain analysis method

收稿日期: 2020-12-21 出版日期: 2021-08-28

引用本文:

李锦华，李添艺，吴亮秦，张焕涛. 移动荷载下高速铁路简支梁桥消振机理频域分析[J]. 振动与冲击, 2021, 40(16): 287-293.
LI Jinhua, LI Tianyi, WU Liangqin, ZHANG Huantao. Frequency-domain analysis of vibration cancellation mechanism for a simply supported bridge of high-speed railway under moving loads. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(16): 287-293.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2021/V40/I16/287

［1］LI J Z, SU M B.The resonant vibration for a simply supported girder bridge under high-speed trains［J］.Journal of Sound and Vibration, 1999, 224(5):897-915.
［2］YAU J D, YANG Y B.Vertical accelerations of simple beams due to successive loads traveling at resonant speeds［J］.Journal of Sound and Vibration, 2006,289(1):210-228.
［3］LUU M, ZABEL V, KNKE C.An optimization method of multi-resonant response of high-speed train bridges using TMDs［J］.Finite Elements in Analysis and Design, 2012, 53: 13-23.
［4］刘文峰, 宿健, 何玉珊,等.32 m跨简支铁路桥梁横向振动的研究分析［J］.振动、测试与诊断, 2004,24(1):57-60.
LIU Wenfeng, SU Jian, HE Yushan, et al.Research on horizontal vibration of 32 m span simply supported railroad bridges［J］.Journal of Vibration, Measurement and Diagnosis, 2004, 24(1):57-60.
［5］WANG J F, LIN C C, CHEN B L.Vibration suppression for high-speed railway bridges using tuned mass dampers［J］.International Journal of Solids and Structures, 2003, 40(2):465-491.
［6］沈锐利.高速铁路线上简支梁桥车桥共振问题初探［J］.西南交通大学学报, 1995, 30(3):275-282.
SHEN Ruili.Preliminary research of bridge-vehicle resonance on simple-supported beam bridges on high speed railways［J］.Journal of Southwest Jiaotong University, 1995,30(3):275-282.
［7］王英杰, 时瑾, 魏庆朝.单车过桥下弹性车体共振与消振现象分析［J］.振动与冲击, 2015, 34(2):1-8.
WANG Yingjie, SHI Jin, WEI Qingchao.Resonance and vibration cancellation analysis of a vehicle with flexible car body moving over multi-span bridge［J］.Journal of Vibration and Shock, 2015, 34(2):1-8.
［8］黄文杰, 罗光财, 彭丹, 等.高速铁路简支梁桥参数变化对竖向共振影响分析［J］.铁道科学与工程学报, 2016, 13(8):1474-1481.
HUANG Wenjie, LUO Guangcai, PENG Dan, et al.Analysis of the influence of parameter variation of vertical beam bridge on vertical resonance of high-speed railway［J］.Journal of Railway Science and Engineering, 2016, 13(8): 1474-1481.
［9］宁晓骏, 叶燎原, 缪昇.高速铁路中桥梁跨径布置与共振关系的探讨［J］.振动与冲击, 2000, 19(3):71-73.
NING Xiaojun, YE Liaoyuan, MIAO Sheng.Research on the relationship between the bridge span arrangement in high railway and the bridge resonance［J］.Journal of Vibration and Shock, 2000, 19(3):71-73.
［10］苏木标, 李建中, 梁志广.高速铁路简支梁桥的竖向共振现象［J］.工程力学, 2001, 18(5):84-94.
SU Mubiao, LI Jianzhong, LIANG Zhiguang.Vertical resonance phenomenon of simply supported girder bridges on high-speed railway［J］.Engineering Mechanics, 2001, 18(5):84-94.
［11］张田, 夏禾, 郭薇薇.动荷载指纹线方法在车桥共振分析中的应用［J］.重庆大学学报, 2012, 35(8):54-61.
ZHANG Tian, XIA He, GUO Weiwei.Dynamic signatures method for analysis of vehicle-bridge resonance ［J］.Journal of Chongqing University, 2012, 35(8): 54-61.
［12］YANG Y B,YAU J D, HSU L C.Vibration of simple beams due to trains moving at high speeds［J］.Engineering Structures, 1997, 19(11):936-944.
［13］YANG Y B, LIN C L, CHANG D W,et al.Mechanism of resonance and cancellation for train-induced vibrations on bridges with elastic bearings［J］.Journal of Sound and Vibration, 2004, 269(1/2):345-360.
［14］张铎, 李小珍.移动简谐荷载列作用下简支梁竖向动力响应的解析解及其应用研究［J］.应用力学学报, 2014, 31(1):144-149.
ZHANG Duo, LI Xiaozhen.Analysis and application of vertical dynamic response of simply supported beam bridge under moving harmonic load series［J］.Chinese Journal of Applied Mechanics, 2014, 31(1):144-149.
［15］MUSEROS P, MOLINER E, MARTINEZ-RODRIGO M D.Free vibrations of simply-supported beam bridges under moving loads: maximum resonance, cancellation and resonant vertical acceleration［J］.Journal of Sound and Vibration, 2013, 332(2): 326-345.
［16］XIA H, ZHANG N, GUO W W, et al.Dynamic interaction of train-bridge systems in high-speed railways［M］.Beijing:Beijing Jiaotong University Press and Springer-Verlag,2018.
［17］XIA H, ZHANG N, GUO W W, et al.Analysis of resonance mechanism and conditions of train-bridge system［J］.Journal of Sound and Vibration, 2006, 297(3): 810-822.
［18］李慧乐, 夏禾, 郭薇薇.移动荷载作用下简支梁共振与消振机理研究［J］.工程荷载学, 2013, 30(7):47-54.
LI Huile, XIA He, GUO Weiwei.Study on mechanism of resonance and vibration cancellation for simply-supported beam under moving load［J］.Engineering Load Science, 2013,30(7):47-54.
［19］李慧乐, 夏禾, 郭薇薇, 等.简支梁在列车荷载下的共振与消振效应［J］.振动工程学报, 2014, 27(2):172-179.
LI Huile, XIA He, GUO Weiwei.Effects of vibration resonance and cancellation for simply beams under train load［J］.Journal of Vibration Engineering, 2014,27(2):172-179.
［20］YANG Y B.Vehicle-bridge interaction dynamics: with applications to high-speed railways［M］.World Scientific, 2004.