A Crack Location Method for Blades Via Nonlinearity Estimation of Vibration Response
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摘要: 对叶片裂纹进行准确定位,对于实现准确维修延长其工作寿命具有重要的意义。针对叶片裂纹定位问题,提出一种高频激励下利用多位置点振动响应非线性估计的叶片裂纹定位方法,并给出了系统非线性估计的定义和相应的计算方法。在叶片上多位置特征点采集非线性振动信号组成矩阵形式信号,再利用正交分解方法求解其线性近似矩阵信号,通过量化两者之间的误差得到叶片各点振动响应信号的非线性程度估计值。计算相同激励输入下健康状态和含裂纹叶片各点振动响应非线性度估计值的误差,寻找误差绝对值最大点实现裂纹的准确定位。通过在有限元软件中建立健康和含裂纹损伤的叶片有限元模型,在多种激励频率下进行瞬态动力学仿真验证,分析结果表明该方法具有很好的裂纹定位效果。Abstract: Finding the crack location of blades has the great significance in reducing maintenance cycle and extending the working life. In this paper, a crack location method via the nonlinearity estimation of vibration response is proposed for blades under the high frequency excitation. The definition of nonlinearity estimation and the corresponding calculation method are given for this method. First, a matrix form signal is composed of the nonlinear vibration signals which are collected at the multi-position points of the blades. Then, its linear approximation is obtained by the proper orthogonal decomposition, and the error is quantified between the matrix form signal and its linear approximation. The values of nonlinearity estimation for vibration response signals on each positions of the blade are calculated. Second, the values of nonlinearity estimation for blades with and without a crack are compared under the same excitation inputs, and the maximum absolute error of the values is found to identify the location of the crack. The finite element models of blades with and without a crack are established, and the effectiveness of the method is demonstrated and verified under various excitation frequencies.
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Key words:
- blade /
- damage detection /
- vibration response /
- nonlinearity estimation
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