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（1 西安理工大學(xué)土木建筑工程學(xué)院， 西安 710048； 2 陜西建大維固質(zhì)量檢測(cè)技術(shù)有限公司， 西安 710018）

［摘要］以北京遼代良鄉(xiāng)塔為研究對(duì)象，測(cè)試京廣線列車和地脈動(dòng)作用下良鄉(xiāng)塔東西向和南北向的振動(dòng)響應(yīng)，并建立結(jié)構(gòu)的ANSYS有限元模型，通過現(xiàn)場(chǎng)測(cè)試與數(shù)值模擬，分析良鄉(xiāng)塔的自振頻率、振型以及列車影響下結(jié)構(gòu)的振動(dòng)速度最大值，并對(duì)列車影響下結(jié)構(gòu)的振動(dòng)響應(yīng)進(jìn)行評(píng)估。結(jié)果表明：在兩個(gè)水平方向上，良鄉(xiāng)塔的前3階自振頻率相近，第1階振型均呈彎曲型，第2階、第3階振型均呈彎剪型；列車激勵(lì)下良鄉(xiāng)塔各層樓面處的振動(dòng)速度峰值在東西向4層變化較大，從1層到頂層整體呈輕微減小—增大—減小的趨勢(shì)，在南北向總體呈緩慢增長(zhǎng)的趨勢(shì)，最高承重結(jié)構(gòu)處的振動(dòng)速度峰值為0-053mm/s，對(duì)古塔的完整性和安全性影響較小。此研究方法可為相關(guān)古塔的研究提供參考，研究結(jié)果可為良鄉(xiāng)塔的后續(xù)疲勞壽命研究提供數(shù)據(jù)依據(jù)。

［關(guān)鍵詞］磚石古塔； 動(dòng)力測(cè)試； 模態(tài)分析； 有限元模型； 動(dòng)力響應(yīng)

中圖分類號(hào)：TU362文獻(xiàn)標(biāo)識(shí)碼：A文章編號(hào)：1002-848X(2019)14-0089-07

Research on vibration law of ancient pagoda in Liao dynasty based on dynamic characteristic analysis under train excitation

Xia Qian1, Zhao Jin1, Wang Defa1, Li Yiqing2

(1 School of Civil Engineering and Architecture, Xi′an University of Technology, Xi′an 710048, China；2 Shaanxi Jiandaweigu Quality Testing Technology Co., Ltd., Xi′an 710018， China)

Abstract:Taking the Liangxiang pagoda of the Liao dynasty in Beijing as the research object, the vibration responses of the east-west and north-south directions of the pagoda under the trains on the Beijing-Guangzhou line and ground pulsations was tested, and the ANSYS finite element model of the structure was established. Through the field test and numerical simulation, the vibration frequency, vibration mode and the maximum vibration velocity of the structure under the influence of the train were analyzed, and the vibration response of the structure under the influence of the train was evaluated. The  results show that: the first three natural frequencies of the Liangxiang pagoda along two horizontal directions are similar. The first stage vibration mode is bending type, and the second and third modes are bending and shearing type. The peak value of vibration velocity of each floor of Liangxiang pagoda under the influence of train varies greatly at the fourth floor in the east and west direction, showing a slight decrease-increase-decrease trend from the first to the top floor. And there is a trend of slow growth on the whole in the south-north direction. The peak vibration velocity at the highest load-bearing structure is 0-053mm/s, which has little effect on the integrity and safety of this pagoda. This method can provide reference for the study of ancient pagoda, and the results can provide data basis for the study of the later fatigue life of this pagoda.

Keywords:masonry pagoda; dynamical test; modal analysis; finite element model; dynamic response

*國(guó)家自然科學(xué)基金項(xiàng)目（51708450），陜西省自然科學(xué)基礎(chǔ)研究項(xiàng)目（2018JQ5169），西安理工大學(xué)博士科研啟動(dòng)資助項(xiàng)目（107-451115002），西安理工大學(xué)科學(xué)研究計(jì)劃資助項(xiàng)目（2016CX025），中國(guó)博士后科學(xué)基金面上資助項(xiàng)目（2018M643702）。

作者簡(jiǎn)介：夏倩，博士，講師，Email: ice69pipiniu@163.com。