通过量级分析，给出了尖端场的应力应变奇异性指数。
The stress and strain singularity exponent of crack-tip field is given by means of the asymptotic analysis.
提出采用切削力信号的奇异性指数作为衡量刀具磨损的参量。
The singular index of cutting force signal is proposed as a parameter for detecting cutter's wear.
应用于图像分析中可以获得每个像素位置更加准确的奇异性指数。
The more precise singularity exponent of every pixel can be obtained by performing the SPMM analysis on the image.
结果表明，应用子模型技术估算三维双材料结构的应力奇异性指数是有效的。
It is shown that FEM sub-modeling technique is valid for estimating the index of stress singularity for three-dimensional bi-material structure.
据此利用渐近展开和分离变量相结合的方法对裂尖奇异性指数的变化进行了分析。
With the method of asymptotic and variable separation, the stress singularity near the conic-shaped crack tip at a bi-material interface is fulfilled.
然后分析了界面端线和界面端点处附近奇异性指数，得到了一些重要而有趣的结果。
The index of singularity along the stress singularity line and at the vertex are analyzed, and some important and interesting results are obtained.
利用小波变换系数的模值与信号奇异性指数之间的关系，从调频信号中提取出调制信号的频率。
Frequency of modulated signals is extracted from frequency-modulated signals by using the relationship between the modulus of wavelet transform coefficient and the singular exponent.
本文利用小波变换系数的模的平方值与信号奇异性指数之间的关系，从超声回波信号中提取出了胎儿的心率。
The fetal heart rate can be extracted from the returning signal of ultrasound by way of the connection between the modulus of the wavelet transform coefficient and the singular exponent.
文中对奇异性指数的求解问题进行了较详细的讨论和研究，同时对不同小波基下的信号奇异性检测情况进行了分析和比较。
The thesis has discussed the calculating of the Lipschitz exponent, and analysised and compared the condition between wavelet bases and singularity detection of signal.
本文利用弹-粘-塑性材料力学模型，对动态扩展裂纹尖端的指数奇异性和对数奇异性进行了渐近分析。
An elastic viscoplastic material model was adopted to the asymptotic analysis on power law and logarithmic singularity of dynamic growing crack tip.
对于啁啾量相同的脉冲，脉冲宽度越小或模指数越大其奇异性位置离光束中心越近。
The singularity is located nearer to the central axis for the pulses with higher order transverse modes and shorter pulse duration.
对于啁啾量相同的脉冲，脉冲宽度越小或模指数越大其奇异性位置离光束中心越近。
The singularity is located nearer to the central axis for the pulses with higher order transverse modes and shorter pulse duration.
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