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本文利用广义正交多项式作为时间有限元的形函数,推导了基于时间有限元的动载荷识别模型.成功地将时域下动载荷识别的复杂逆卷积关系转变为广义正交域的线性算子逆运算,这种模型识别精度高,抗干扰能力强,具有良好的计算稳定性,尤其适用于具有短时间样本的冲击类型动载荷识别,使该类问题在工程应用时的复杂程度大大降低,具有较高的工程应用价值.该方法为结构动力学逆问题的研究提供了一种新的技术途径.
In this paper, the generalized orthogonal polynomials are used as the shape function of time finite element, and the dynamic finite element-based dynamic load identification model is deduced.The complex inverse convolutional relationship of dynamic load identification in time domain is transformed into the linearized generalized orthogonal domain Inverse operation of the model, this model has high recognition accuracy, strong anti-interference ability and good computational stability, especially for impact type dynamic load identification with short time samples, which greatly reduces the complexity of such problems in engineering application , Which has high engineering application value.This method provides a new technical approach for the study of inverse problem of structural dynamics.