Inverse damage prediction in structures using nonlinear dynamic perturbation theory
Inverse damage prediction in structures using nonlinear dynamic perturbation theory
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DOI：
10.1007/s00466-005-0717-y
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发表时间：
2006-04
影响因子：
4.1
通讯作者：
Huapeng Chen;N. Bićanić
中科院分区：
文献类型：
--
作者：
Huapeng Chen;N. Bićanić
本文提出了一种非线性摄动理论，它给出了结构参数摄动与模态参数摄动之间的精确关系。导出了一个控制方程组，该方程组可以直接利用不完整模态数据的信息。本文讨论了结构损伤反演的直接迭代法和高斯-牛顿最小二乘方法，利用有限的不完整模态测量数据，可以准确地确定结构损伤的位置和程度。假设结构损伤与原单元刚度矩阵的成比例减少或与高斯点对单元刚度矩阵的贡献的成比例减少相关联，该单元刚度矩阵在单元水平或高斯点水平上表征结构。最后，一个受损的悬臂梁被认为是使用不同的模型问题，以证明所提出的技术的有效性。
A non-linear perturbation theory which furnishes an exact relationship between the perturbation of structural parameters and the perturbation of modal parameters is presented. A system of governing equations is derived, where the information about incomplete modal data can be directly adopted. The Direct Iteration and the Gauss–Newton Least Squares techniques for an inverse prediction of structural damage are discussed, where both the location and the extent of structural damage can be correctly determined using only a limited amount of incomplete modal measurements data. Structural damage is assumed to be associated with a proportional reduction of the original element stiffness matrix or with a proportional reduction of the contribution of a Gauss point to the element stiffness matrix, which characterises a structure at an element level or at a Gauss point level. Finally, a damaged cantilever beam is considered using different model problems to demonstrate the effectiveness of the proposed techniques.