基于广义正交域的一种动载荷识别方法研究

提出广义正交多项式理论，并且基于这一正交域研究线性动力学系统输入输出时域卷积关系变换到广义正交域的线性算子。数值仿真及试验考核表明该方法适用于各种类型的确定性动载荷识别问题，具有良好的识别精度和抗噪声干扰能力，尤其对于短样本冲击载荷的识别更具有独特的优势。该方法在实际工程结构应用时，具有试验成本小，易于实现等特点，是一种十分值得推广的动载荷识别新方法。

A New Theoretical Study of Dynamic Load Identification Based on Generalized Polynomial Expansion

A generalized theory of orthogonal polynomial is proposed. From the theory theconvolution relationship between input and output of a linear system in the time domain re-duces to linear algebraic one in the generalized polynomial domain. The results of data simula-tion and experiment show that the method developed in the work based on the theory can beused to identify many kinds of dynamic load with high identification accuracy and noise immu-nity, especially for the transient load having feature of low cost and easiness to realize whenused in engineering.