Background

Dynamic load identification plays an important role in practical engineering. In this paper, a novel fast algorithm is investigated to identify the multi-point dynamic load positions in frequency domain.

Methods

For any given frequency, the amplitude of each load spectrum is relatively constant. By solving the kinetic equation set with the elimination method, the relationship of the true dynamic load positions can be expressed as the form of filter coefficients, then many dynamic load position combinations can be found that they do not satisfy the relationship so they can be excluded from the possible true position combinations. Compared to the traditional method, the novel algorithm only needs to sort out the true positions from a few dynamic load position combinations by the minimum determination coefficient method, which reduces the number of matrix inversion operations and improves the speed of the identification of load positions.

Conclusions

Through a numerical simulation and an identification test on the simply supported beam structure, the high accuracy and effectiveness of the novel algorithm are successfully demonstrated, while the rapidity of the novel algorithm is shown by comparing the computation time of the novel algorithm with that of the traditional method.

中文翻译：

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基于滤波系数法的多点动载荷位置识别

背景

动态载荷识别在实际工程中起着重要作用。本文研究了一种新颖的快速算法来识别频域中的多点动态负载位置。

方法

对于任何给定的频率，每个负载谱的振幅都相对恒定。通过用消除法求解动力学方程组，可以将真实动载荷位置的关系表示为滤波器系数的形式，然后发现许多动载荷位置组合不满足该关系，因此可以将其排除在外。从可能的真实位置组合。与传统方法相比，该新算法仅需通过最小确定系数法从几个动态载荷位置组合中选出真实位置，从而减少了矩阵求逆运算的次数，提高了载荷位置识别的速度。

结论

通过数值模拟和对简支梁结构的识别测试，成功地证明了该算法的高精度和有效性，同时通过比较该算法与该算法的计算时间，证明了该算法的快速性。传统方法。