边坡振动台模型实验动位移的加速度时程积分探讨
|
摘要
受数据采集条件限制,振动台模型实验的速度和动位移时程一般由实测加速度时程信号进行积分得到。通过理论分析和实验实测数据计算,认为动位移的频域积分法误差来源是低频截止频率的选取,特别当低频频率接近零时,传统二阶频域积分可产生较大的动位移低频振荡和峰值误差。提出利用时域与频域混合的方法,即频域-时域混合积分法,来克服积分过程带来的误差,其在对加速度两次积分中,分别进行一次频域积分和一次时域积分。地震模拟振动实验的台面实测加速度数据积分与台面动位移计实测数据的对比表明,较之传统的二阶频域积分,采用频域-时域混合积分时误差可明显减小。
In shaking table model tests,dynamic displacement and velocity are always obtained by integration of measured acceleration because of the restricted condition of data sampling.By means of theoretical analysis and numerical calculation of experimental data,it has been shown that the error in displacement calculation by integration in frequency domain comes from the low cut-off frequency.If the low frequency is close to zero,the conventional integration in frequency domain may get displacements contaminated by significant oscillations of low frequency and errors at peak values.A mixed integration in time-frequency domains was put forward to reduce the error in calculation of dynamic displacement,consisting of once integration in frequency domain and another in time domain.Compared with the data of shaking table model tests,its results have shown that the mixed integration has reduced more significantly the error than the conventional method of integration in frequency domain.
In shaking table model tests,dynamic displacement and velocity are always obtained by integration of measured acceleration because of the restricted condition of data sampling.By means of theoretical analysis and numerical calculation of experimental data,it has been shown that the error in displacement calculation by integration in frequency domain comes from the low cut-off frequency.If the low frequency is close to zero,the conventional integration in frequency domain may get displacements contaminated by significant oscillations of low frequency and errors at peak values.A mixed integration in time-frequency domains was put forward to reduce the error in calculation of dynamic displacement,consisting of once integration in frequency domain and another in time domain.Compared with the data of shaking table model tests,its results have shown that the mixed integration has reduced more significantly the error than the conventional method of integration in frequency domain.
引文
[1]王济,胡晓.MATLAB在振动信号处理中的应用[M].北京:中国水利水电出版社,知识产权出版社,2006.104-107.Wang J,Hu X.Application of MATLAB in DataProcessing for Vibration Signals[M].Beijing:ChinaWaterpower Press,China Intellectual Property Press,2006.104-107.
[2]张晋.采用MATLAB进行振动台试验数据的处理[J].工业建筑,2002,32(2):28-30,65.Zhang J.Using MATLAB to deal with data of theshaking table test[J].Industial Construction,2002,32(2):28-30,65.
[3]余萍,胡孝平.MATLAB在振动台试验数据处理中的应用[J].水利与建筑工程学报,2008,6(1):121-122.Yu P,Hu X P.Application of MATLAB software indata processing for vibrating table test[J].Journal ofWater Resources and Architectural Engineering,2008,6(1):121-122.
[4]李强,王太勇,胥永刚.基于频域积分的振动参量转换修正算法[J].组合机床与自动化加工技术,2005,(9):60-61,65.Li Q,Wang T Y,Xu Y G.The modification of thevibration parameter transform based on frequencydomain integration[J].Modular Machine Tool&Automatic Manufacturing Technique,2005,(9):60-61,65.
[5]叶献国.地震强度指标定义的客观评价[J].合肥工业大学学报,1998,21(6):7-11.Ye X G.Objective evaluation on definition ofearthquake intensity index[J].Journal of HefeiUniversity of Technology,1998,21(6):7-11.
[2]张晋.采用MATLAB进行振动台试验数据的处理[J].工业建筑,2002,32(2):28-30,65.Zhang J.Using MATLAB to deal with data of theshaking table test[J].Industial Construction,2002,32(2):28-30,65.
[3]余萍,胡孝平.MATLAB在振动台试验数据处理中的应用[J].水利与建筑工程学报,2008,6(1):121-122.Yu P,Hu X P.Application of MATLAB software indata processing for vibrating table test[J].Journal ofWater Resources and Architectural Engineering,2008,6(1):121-122.
[4]李强,王太勇,胥永刚.基于频域积分的振动参量转换修正算法[J].组合机床与自动化加工技术,2005,(9):60-61,65.Li Q,Wang T Y,Xu Y G.The modification of thevibration parameter transform based on frequencydomain integration[J].Modular Machine Tool&Automatic Manufacturing Technique,2005,(9):60-61,65.
[5]叶献国.地震强度指标定义的客观评价[J].合肥工业大学学报,1998,21(6):7-11.Ye X G.Objective evaluation on definition ofearthquake intensity index[J].Journal of HefeiUniversity of Technology,1998,21(6):7-11.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心