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中文摘要：
研究一种基于区间B样条小波有限元的转子横向裂纹定量识别方法。构造包含转动惯量影响的区间B样条小波Rayleigh梁单元，高精度求解裂纹转子前三阶固有频率，获得裂纹相对位置和相对深度作为变量的固有频率解曲面。然后将实测的裂纹转子前三阶固有频率作为裂纹识别问题的输入，利用三条等高线的交点定量识别出裂纹存在的相对位置和相对深度。数值仿真和试验研究结果表明，该方法鲁棒性强，单元数量少，辨识精度和效率高，为转子系统裂纹定量识别提供了新方法。
英文摘要：
Based on finite element of B-spline wavelet on the interval （BSWI）, the quantitative identification method of transverse crack for rotor systems is studied. The BSWI Rayleigh beam element considering rotatory inertia effect is constructed to solve the first three natural frequencies of the cracked rotor with high precision, and the first three frequencies solution curve surfaces of normalized crack location and size are obtained by using surface-fitting technique. Then the first three metrical natural frequencies are employed as inputs of the solution curve surfaces. The intersection of the three frequencies contour lines can predict the normalized crack location and size. The numerical and experimental examples are given to verify the validity of the beam element for crack quantitative identification in rotor systems. The new method can be applied to prognosis and quantitative diagnosis of crack in rotor systems.
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The construction of plane elastomechanics and Mindlin plate elements of B-spline wavelet on the inte
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