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theory of singularity
相关语句
  奇点理论
     Finite deterrainacy of smooth map germs is one of im-portant special topics in the theory of singularity.
     光滑映射芽的有限决定性是奇点理论中一个重要专题。
短句来源
     Finite determinacy of smooth map germs is one of important special topics in the theory of singularity.
     光滑映射芽的有限决定性是奇点理论中一个重要专题 .
短句来源
  位形奇异原理
     Theory of Singularity Elimination by Redundant Actuation for Parallel Mechanism
     冗余驱动消除并联机构位形奇异原理
短句来源
  “theory of singularity”译为未确定词的双语例句
     Application of the Theory of Singularity Analysis Based on Wavelet Transform in Oil Pipeline Leakage Detection
     小波奇异性分析在输油管道泄漏检测中的应用
短句来源
     Application of Theory of Singularity Detection Based on Wavelet Transformation in Load Characteristic Analysis
     小波奇异性检测理论在电力系统负荷特性分析中的应用
短句来源
     Application of theory of singularity detection based on wavelet transformation in relay protect fault diagnosis
     小波奇异性检测理论在电力系统继电保护装置故障诊断中的应用
短句来源
     This paper introduces a method of one-end fault distance measurcment in transmission line, according to the theory of singularity detection in wavelet transform and the theory of travelling wave.
     结合小波变换的奇异性检测理论和行波理论 ,介绍了输电线路单端测距的方法。
短句来源
     By the averaging method, the frequency amplitude property of Van der Pol Duffing equation is analyzed, and the related static bifurcation phenomenon is studied by the theory of singularity.
     应用平均法研究VanderPol Duffing方程的幅频响应特性 ,并通过奇异性理论分析其静态分叉现象。
短句来源
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  相似匹配句对
     theory.
     这些概念和理论为不确定性信息理论奠定了基础.
短句来源
     The theory and the (?)
     这个理论本身和社会实践均有一个不断发展的过程。
短句来源
     THEORY OF PERMEATION
     渗透论
短句来源
     On Philosophization of Theory
     论理论的庸俗化
短句来源
     The Study of the Singularity Signals
     奇异信号的研究
短句来源
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  theory of singularity
It is found that in terms of the ratio of the reduced gas velocity to the similarity variable, the exponent equation derived from the condition of zero pressure gradient and that derived from the theory of singularity are of identical form.
      
We apply the theory of singularity of caustics and wave fronts to studying singularities of exponential mappings in a class of control problems, which correspond to special integrable Hamiltonian systems with straight lines as extremals.
      
We apply the theory of singularity of caustics and wave fronts to studying singularities of exponential mappings in a class of control problems, which correspond to special integrable Hamiltonian systems with straight lines as extremals.
      


In this paper,bifurcation of a class of nonlinear vibration system with both parametric excitation and forced excitation has been studied by Liapunov-Schmidt method.The theory of singularity is applied to determine the forms of the equivalent bifurcation equations,and the coefficients of the equations are solved. Moreover,the universal unfoldings of the bifurcation equations in 1/2-1/2 subharmonic resonance are analysed,and the bifurcation set as well as the response diagrams are drawm.

本文用Liapunov—Schmidt方法研究了同时受参数激励与强迫激励作用的非线性振动系统的亚谐分叉问题,用奇异性理论确定了等价意义下的分叉方程的形式,导出了必需的分叉系数,求出并且分析了1/2—1/2亚谐共振分叉方程的普适开折,画出了各个结构稳定域及分叉集上的响应图。

This paper introduces the theory of singularity detection based on wavelet transformation.With a series of simulated signals,it illustrates the procedure of detecting singularity signals by wavelet transformation and quantitatively describes the singularity degree by Lipschitz exponents.In practice,the theory has been successfully applied in state detection and fault diagnosis.

首先阐述了基于小波分析的奇异信号检测理论,以一组仿真信号为例说明了小波变换在奇异信号检测中的实现过程,并通过计算Lip指数,定量刻划了信号奇异点的奇异程度。最后将其应用于电力系统负荷状态检测及故障诊断中,取得了较为满意的效果。

In this paper 1/2 subharmonic resonance and bifurcation in a rotating shaft with an unsymmetrical stiffness are studied. By means of the Hamilton's principle the nonlinear differential equations of motion of the shaft are derived in the rotating rectangular coordinate system. Trans forming the equations of motion from rotating coordinate system into stationary coordinate system and introducing a complex variable we obtain the equation of motion in complex variable forms in which the stiffness coefficient varies...

In this paper 1/2 subharmonic resonance and bifurcation in a rotating shaft with an unsymmetrical stiffness are studied. By means of the Hamilton's principle the nonlinear differential equations of motion of the shaft are derived in the rotating rectangular coordinate system. Trans forming the equations of motion from rotating coordinate system into stationary coordinate system and introducing a complex variable we obtain the equation of motion in complex variable forms in which the stiffness coefficient varies periodically with time. It represents a nonlinear oscillation system under parametric excitation. By applying the method of multiple scales we obtain the averaged equations, the bifurcation response equations and local bifurcating set. Via the theory of singularity we analyze the stability of constant solutions and obtain bifurcation response curves. This study exhibits that the shaft with unsymmetrical stiffness possess an unstable range in neigh borhood of the rotating speed. The asymmetry and the external damping have great influence on the shaft stability and local bifurcation. As asymmetry increases, the width of the instability region increases. However, the external damping can reduce the width of the unstable region. This study still exhibits that the rotating shaft has rich bifurcation phenomena. The size of bifurcation region is related to the asymmetry of the shaft stiffness. When asymmetry of stiffness vanishes the bifurcation regions disappear. In this study we may see that degenerate bifurcation of codimension two in the shaft system above may occur.

研究具有非轴对称刚度转轴的1/2亚谐共振和分岔.首先用Hamilton原理导出运动微分方程,这是刚度系数周期性变化的参数激励方程,然后用多尺度法求得平均方程,分岔响应方程和定常解,最后用奇异性理论分析分岔响应方程和定常解的稳定性,得到了局部分岔集和不同区域的不同的分岔响应曲线.

 
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