敦煌莫高窟壁畫結(jié)構(gòu)振動(dòng)響應(yīng)預(yù)測(cè)方法*
杜建國(guó)，李利莎，賀永勝，郭士旭
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(總參工程兵科研三所， 洛陽(yáng) 471023)
［摘要］壁畫是敦煌莫高窟中最珍貴的文物，為避免游客參觀、景區(qū)施工、附近交通等引起的疲勞振動(dòng)威脅到壁畫的安全，需要對(duì)其振動(dòng)響應(yīng)進(jìn)行合理的預(yù)測(cè)。通過數(shù)值仿真的方法確定文物最大響應(yīng)位置及其與測(cè)點(diǎn)位置響應(yīng)之間的關(guān)系，構(gòu)建測(cè)試點(diǎn)與預(yù)測(cè)點(diǎn)之間的傳遞函數(shù)，并利用現(xiàn)場(chǎng)布置的有限測(cè)點(diǎn)所獲得的振動(dòng)信號(hào)來預(yù)測(cè)壁畫結(jié)構(gòu)的最大振動(dòng)響應(yīng)。以第16窟為例，通過驗(yàn)證表明該方法具有較好的準(zhǔn)確性，可用于壁畫文物的保護(hù)工作與振動(dòng)風(fēng)險(xiǎn)評(píng)估。［關(guān)鍵詞］敦煌莫高窟; 振動(dòng)響應(yīng); 預(yù)測(cè); 傳遞函數(shù); 數(shù)值仿真中圖分類號(hào)：TB123.1， X893.1 文獻(xiàn)標(biāo)識(shí)碼：A 文章編號(hào)：1002-848X(2015)19-0062-05
Prediction method for vibration responses of wallpaintings of Mogao Grottoes at DunhuangDu Jianguo, Li Lisha, He Yongsheng, Guo Shixu(The Third Engineer Scientific Research Institute of the Headquarters of the General Staff, Luoyang 471023, China)Abstract: The wall-painting is the rarest cultural relics in Mogao Grottoes at Dunhuang. To avoid suffer from the influence of external fatigue vibration environment of tours, constructions, traffics et al., it is necessary to predict vibration responses of wall-paintings rationally. The relationship between the maximum response position of cultural relics and the position responses of measure points was determined by the method of numerical simulation. Transfer functions were proposed between measure points and prediction points. Based on the vibration signals obtained from the finite field measure points, the maximum vibration response of wall-painting structures was predicted. The accuracy of the method proposed was validated by an example of the 16th grotto. The method is beneficial to protect cultural relics and evaluate the risk of vibration.Keywords: Mogao Grottoes at Dunhuang; vibration response; prediction; transfer function; numerical simulation
*國(guó)家科技支撐計(jì)劃項(xiàng)目（2013BAK01B01）。作者簡(jiǎn)介：杜建國(guó), 博士, 副研究員, Email: dujianguo2010@sina.com。
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