摘要
针对结构中的梁式构件提出了一种基于反应曲线拟合的参数识别方法。该方法采用一组正交基函数对Euler-Bernoulli梁在不同时刻的平动反应曲线进行拟合,继而通过平动反应曲线对测点坐标的导数获得梁的转角反应曲线。为解决反应曲线拟合过程中的噪声淹没现象,提出了一种样本平均方法以消除噪声的影响,该方法利用采样集合的子集的平均形成的序列进行识别。算例分析表明,反应曲线拟合方法可较为准确地获得梁式构件的转角反应,且样本平均方法可大大降低参数识别过程中噪声的影响。
A response curve fitting method is developed to estimate parameters of beam-type members with unknown rotational response. Using a set of orthogonal based functions, the translational response curve is obtained by curve fitting. The rotational response curve is then derived by the differentiation of translational curve with respect to the coordinates of measurement points. In order to deal with error propagation problem in curve fitting, a sample-averaging method is introduced which uses the average values of subsets of total sampling set in parameter estimation procedure. Numerical example shows that the rotational response can be obtained accurately by curve fitting method, and the sample-averaging method can reduce the effect of error propagation in parameter estimation.
出处
《工程力学》
EI
CSCD
北大核心
2003年第4期55-59,共5页
Engineering Mechanics
基金
国家杰出青年科学基金资助项目(59825105)
