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基于零初值的測(cè)試加速度積分速度與位移的方法

發(fā)布時(shí)間:2018-12-12 20:43
【摘要】:在地震工程、結(jié)構(gòu)振動(dòng)控制和結(jié)構(gòu)健康監(jiān)測(cè)等研究領(lǐng)域,結(jié)構(gòu)在振動(dòng)過(guò)程中的位移和速度對(duì)科學(xué)研究和實(shí)際工程應(yīng)用都具有重要意義.由于技術(shù)條件及環(huán)境因素限制,測(cè)試過(guò)程中獲得的大多為加速度響應(yīng)信號(hào),需要通過(guò)積分獲得速度及位移.但是由于初始條件的缺失,導(dǎo)致了測(cè)試加速度信號(hào)在積分速度和位移過(guò)程中產(chǎn)生明顯的漂移現(xiàn)象.為解決此問(wèn)題,本文利用結(jié)構(gòu)的振動(dòng)規(guī)律,在穩(wěn)態(tài)振動(dòng)階段尋找速度和位移的零點(diǎn),并以此作為初值進(jìn)行積分,最后利用趨勢(shì)項(xiàng)處理去除零點(diǎn)確定誤差產(chǎn)生的漂移.本文數(shù)值模擬了單自由度體系和多自由度體系在簡(jiǎn)諧振動(dòng)和地震動(dòng)作用下的結(jié)構(gòu)振動(dòng)響應(yīng),并比較了計(jì)算值與準(zhǔn)確值的最大相對(duì)誤差;最后,將該方法應(yīng)用于5條具有代表性的真實(shí)地震動(dòng)記錄,與給出的地面速度和位移進(jìn)行比較,結(jié)果顯示在極值處的最大相對(duì)誤差均小于3%,表明該方法具有較高的計(jì)算精度和實(shí)際應(yīng)用價(jià)值.
[Abstract]:In the fields of seismic engineering, structural vibration control and structural health monitoring, the displacement and velocity of structure in vibration process are of great significance for scientific research and practical engineering application. Due to the limitation of technical conditions and environmental factors, most of the signals obtained in the testing process are acceleration response signals, and the velocity and displacement need to be obtained by integration. However, due to the absence of initial conditions, the acceleration signal drift obviously in the process of integral velocity and displacement. In order to solve this problem, this paper uses the vibration law of the structure to find the zero point of velocity and displacement in the steady state vibration stage, and takes it as the initial value to carry on the integral, finally uses the trend term processing to remove the zero point to determine the drift which the error produces. In this paper, the structural vibration responses of single-degree-of-freedom system and multi-degree-of-freedom system under the action of harmonic vibration and ground motion are numerically simulated, and the maximum relative error between the calculated value and the accurate value is compared. Finally, the method is applied to five representative real ground motion records. The results show that the maximum relative error at the extremum is less than 3, compared with the given ground velocity and displacement. It shows that this method has high accuracy and practical application value.
【作者單位】: 大連理工大學(xué)土木工程學(xué)院海岸及近海工程國(guó)家重點(diǎn)實(shí)驗(yàn)室;
【基金】:國(guó)家自然科學(xué)基金創(chuàng)新研究群體項(xiàng)目(批準(zhǔn)號(hào):51121005);國(guó)家自然科學(xué)基金項(xiàng)目(批準(zhǔn)號(hào):51578107)資助 國(guó)家重點(diǎn)基礎(chǔ)研究發(fā)展計(jì)劃(編號(hào):2015CB057704)
【分類(lèi)號(hào)】:TU317

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