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中文摘要：
为分离出结构振动特征参数改变中环境因素的影响,并通过剩余组分识别结构损伤发生时刻,将一种称为辛几何谱分析法（SGSA）的时间序列分解方法应用于环境因素影响下结构健康监测的振动特征参数识别中。首先介绍了SGSA的理论推导及实现过程。其次,采用SGSA法将一个构造的正弦函数分解为独立的具有特定物理意义的叠加组分,说明SGSA方法的有效性,并通过对一组环境温度数据的处理分析,将SGSA与小波变换和经验模态分解（EMD）的处理结果进行比较。最后,对一简支钢梁在温度及损伤共同影响下的一阶频率数据进行处理分析。结果表明：SGSA法能更好地分离出数据中的趋势项成分,并且将SGSA方法用于环境因素影响下的结构损伤识别中,有很好的可行性及有效性。
英文摘要：
In order to separate the environmental influences from the raw data and identify structural damage using the remaining component,The Symplectic Geometry Spectrum Analysis（SGSA） was applied to parameter identification in structural health monitoring.First,the theoretical basis and the implementation process of the SGSA was introduced.Second,to illustrate the ability of the SGSA as a time series decomposition method that can decomposing a time series into a set of independent components,a constructed sine function was analysed.Furthermore,one-year temperature data of Beijing was analysed by SGSA and two other methods,namely Wavelets and empirical modal decomposition.The results shows that SGSA can extract temperature trend much better than the other two methods and the original temperature can be represented with less components by SGSA.Finally,a computer-simulated data of a simply supported beam was analysed by this method to demonstrate the effectiveness and reliability of the proposed technique.Numerical simulation and experiments show that the method is promising to detect structural damage in the presence of environmental and operational variations.
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