Abstract In order to identify quickly and accurately the load state of structures in some complex environments, a non-iterative inversion method based on finite element method and Newmark method is proposed. By exploring the relationship between measurement data and loads that need to be identified, the error function is established. Based on the least square method and the matrix decomposition scheme, the formulas are derived without iteration process. To improve the inversion accuracy and efficiency in the identification of dynamic loads, the basis function expansion and the singular value decomposition method are adopted. Several different structures are considered to verify the influence of some factors on the inversion results, such as the basis function expansion, the computational time, the measurement noise, the number of measurement points and the location of measurement points. Numerical examples show that the present method can obtain the stable and accurate identifying results.

中文翻译：

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一种不同结构动载荷的非迭代辨识方法

摘要 为了快速准确地识别复杂环境下结构的载荷状态，提出了一种基于有限元法和Newmark法的非迭代反演方法。通过探索测量数据与需要识别的载荷之间的关系，建立误差函数。基于最小二乘法和矩阵分解方案，推导出公式，无需迭代过程。为了提高动态载荷反演的精度和效率，采用基函数展开和奇异值分解方法。考虑了几种不同的结构来验证一些因素对反演结果的影响，如基函数展开、计算时间、测量噪声、测量点的数量和测量点的位置。数值算例表明，本方法可以获得稳定准确的识别结果。