One numerical method to determine the orders of the multiple stress singularities is proposed from the numerical solutions obtained by common numerical procedures 用数值方法求解特征方程，就可以得到满足条件0 re ( ) 1的所有奇异性次数。
A fault diagnosis method using wavelet analysis to detect signal singularity and extract fault symptom , and then using neural networks to classify is proposed 提出了一种基于小波分析的奇异性检测和故障特征提取，用神经网络进行故障分类的诊断方法。
There are many ways to diagnose signal for quark - gluon plasma , such as direct photon , dilepton enhancement , strangeness enhancement , j / suppression and so on 诊断qgp信号的途径有多种：直接光子产生、双轻子产额增强、奇异性增强、 j压低等。
The numerical results show mat the fem models applied in this paper are correct , and the hybrid element method is effective in approving calculation efficiency 杂交元计算结果表明对于求解应力奇异性问题，构造合适的杂交单元可以有效的提高计算效率。
The left problems and direction to further research is followed : ( 1 ) wavelet technology should be applied in odd signal examining and separation 文章没有解决的问题和进一步研究的方向： ( 1 )信号处理上，信号的奇异性检测和信噪分离应加入小波分析技术处理。
The main purpose of this paper is to convert the solution for elastic materials to that for viscoelastic materials by using the correspondence principle 本文的主要目的在于对粘弹性材料的应力奇异性进行探讨，利用对应性原理从弹性材料导出粘弹性材料的应力奇异分布。
And through gathering actual gear wheel vibration signal from laboratory , utilizing wavelet transform to study singularity monitoring , has made the good results 并且通过从实验台采集到的实际齿轮振动信号分析，利用小波变换对其进行奇异性监测研究，取得了良好的效果。
Firstly , after depicting the singularity of stress field at the top of crack , the finite element method to calculate stress intensity factor of plain fracture problems is founded 首先，对反射裂缝尖端应力场的奇异性进行了描述，建立了平面断裂问题应力强度因子的有限单元解。
The characteristic of this model is : a new interface edge singular element model is derived based on the numerical fundamental solutions obtained from the finite element eigensolutions method 该模型的独特之处在于：基于有限元特征法得到的奇异性场数值特征解建立了一种新型界面端奇异单元。
Under calculating background , we research the uniformity half space and multi - layers models , discuss the effect on studied background results to abnormity and overlapping field 为了提高计算精度和计算速度以及避免由源奇异性引起的差分计算复杂性，计算时将电位分成二次异常电位和背景电位2部分。
