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Development of a novel hybrid reduction scheme for identification of an open crack model in a beam

机译:用于识别梁中开裂模型的新型混合简化方案的开发

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In a dynamic system, estimation of the system model parameters from the experimental force-response measurements is generally termed as the identification. The present paper proposes a general identification algorithm to estimate crack flexibility coefficients and the crack depth based on the force-response information. The algorithm uses the standard dynamic reduction scheme to eliminate some of the degrees of freedom (dofs) of the system. However, it has limitation in that it requires the measurement of the rotational dofs at least at the crack element nodes. The general identification algorithm is extended to overcome practical limitations of measuring accurately the rotational dofs. For eliminating the rotational dofs at crack element nodes, a novel hybrid reduction scheme has been outlined based on the physical assumption of the present problem. The Euler-Bernoulli beam is used in the finite element modelling. The transverse surface crack is considered to remain open. The crack has been modelled by a local flexibility matrix of 4 dofs freedom by using the linear fracture mechanics approach. A harmonic force of known amplitude and frequency is used to dynamically excite the beam. The present identification algorithms have been illustrated through numerical examples. The algorithms have been found to be robust against the measurement noise.
机译:在动态系统中,根据实验力响应测量值对系统模型参数的估计通常称为标识。提出了一种基于力响应信息的裂纹识别系数和裂纹深度估计的通用识别算法。该算法使用标准的动态缩减方案来消除系统的某些自由度(dofs)。但是,它的局限性在于它要求至少在裂纹单元节点处测量旋转自由度。扩展了通用识别算法,以克服精确测量旋转自由度的实际限制。为了消除裂纹单元节点处的旋转自由度,基于当前问题的物理假设,提出了一种新颖的混合简化方案。 Euler-Bernoulli梁用于有限元建模。认为表面裂纹保持开放。通过使用线性断裂力学方法,通过4自由度的局部柔性矩阵对裂纹进行了建模。已知振幅和频率的谐波力用于动态激发光束。已经通过数值示例说明了当前的识别算法。已经发现该算法对于测量噪声是鲁棒的。

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