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在地震工程、结构振动控制和结构健康监测等研究领域,结构在振动过程中的位移和速度对科学研究和实际工程应用都具有重要意义.由于技术条件及环境因素限制,测试过程中获得的大多为加速度响应信号,需要通过积分获得速度及位移.但是由于初始条件的缺失,导致了测试加速度信号在积分速度和位移过程中产生明显的漂移现象.为解决此问题,本文利用结构的振动规律,在稳态振动阶段寻找速度和位移的零点,并以此作为初值进行积分,最后利用趋势项处理去除零点确定误差产生的漂移.本文数值模拟了单自由度体系和多自由度体系在简谐振动和地震动作用下的结构振动响应,并比较了计算值与准确值的最大相对误差;最后,将该方法应用于5条具有代表性的真实地震动记录,与给出的地面速度和位移进行比较,结果显示在极值处的最大相对误差均小于3%,表明该方法具有较高的计算精度和实际应用价值.
In the field of seismic engineering, structural vibration control and structural health monitoring, the displacement and velocity of the structure in the process of vibration are of great significance to both scientific research and practical engineering application.Due to the limitations of technical conditions and environmental factors, most of the tests obtained during the test For the acceleration response signal, the velocity and displacement need to be obtained through integration, but due to the lack of initial conditions, the test acceleration signal has a significant drift in the integral velocity and displacement.In order to solve this problem, this paper uses the structure vibration law, Find the zero point of velocity and displacement in the steady-state vibration stage and use it as the initial value to integrate, and finally use the trend term to remove the drift caused by the zero-point determination error.This paper numerically simulates the single-degree-of-freedom and multi- Vibration and ground motions, and compared the maximum relative error between the calculated value and the accurate value. Finally, the method is applied to five representative real ground motion records, and the given ground velocities and displacements The results showed that the maximum relative error at the extremum was less than 3%, indicating that the party With high precision and practical value.