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equivalent normalize
相关语句
  当量正态化
     In the analysis of structural reliability,the random variables are generally transformed into standard normal ones through equivalent normalize transformations,including linear transformation and non-linear transformation.
     在结构可靠度分析中,经常要把随机变量通过当量正态化变换为标准正态随机变量。 随机变量的变换过程,包括线性函数变换和非线性函数变换。
短句来源
  相似匹配句对
     the equivalent of E.
     E.
短句来源
     is equivalent to the symbol ?
     熟知其可逆性,Fredholm性等价于符号?
短句来源
     normalize booking for expenditure.
     对于“支”而言,就是要规范核算。
短句来源
     normalize the human face.
     当人脸候选区域和瞳孔区域的交集就是要找的人脸,最后对人脸进行归一化处理。
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In this paper on the basis of stochastic linearization techniques,an analytical method is presented for the dyramic reliability of a lightly damepd and weakly nonlinear multidegree-of-freedom system excited by stationary Gauss wideband random loads with the help of the mode superposition method.It is proved that under the condition of the stationary Gauss white noise loads the equivalent normalized responses are approximately independent. With this conclusion the joint probabilistic density function of...

In this paper on the basis of stochastic linearization techniques,an analytical method is presented for the dyramic reliability of a lightly damepd and weakly nonlinear multidegree-of-freedom system excited by stationary Gauss wideband random loads with the help of the mode superposition method.It is proved that under the condition of the stationary Gauss white noise loads the equivalent normalized responses are approximately independent. With this conclusion the joint probabilistic density function of the normalized responses is yielded the formulas are derived for determining the equivalent linear damping and fre= quency.Furthermore,the joint probabilistic density function of the relative displacement and velocity responses of the particles have been yielded. A method is presented for determining the dyramic reliability of the nonlinear multidegree-of-freedom system on the basis of the first passage damage mechanism and "weakest link "model".The ar.alytical expressions of the dyramic reliability of the stationary responses of the nonlinear multidegree-of-freedom system taking the relative displacement quantities of the particles as bounds are obtained.Then the developed method is extended to the dynamic reliability problem in which the loads are stationary Gauss wide-band random processes.Finally, the method presented in the paper is applied to N-degree-of-freedom quasilinear system and the numerical results of a two-degree-of-freedom quasilinear system are compared with those obtained by Monte Carlo simulation.

本文在等价线性化法的基础上提出了一种用振型分解法分析小阻尼、弱非线性多自由度体系受平稳高斯宽频带随机荷载作用的动力可靠性的完整的解析方法。先在平稳高斯白噪声的荷载条件下证明了等价正规反应是近似独立的,并由此求出正规反应的联合概率密度函数,建立了确定等价阻尼和等价固有圆频率的公式;进一步求出体系质点相对位移及其导数的联合概率密度函数后,提出了一种基于首通破坏机制和“最弱链环”(weakest link)模型的非线性多自由度体系的动力可靠性的计算方法,求出了以质点相对位移量为界限的非线性多自由度体系的平稳反应的动力可靠性的解析表达式。其次,把上述方法推广到了荷载是平稳高斯宽频带过程的情况。最后把本文提出的理论应用到了拟线性多自由度体系。对于两个自由度的情况求出了数字结果,并与Monte Carlo模拟结果进行了比较,验证了本文提出的方法的正确性。在结论中还指出了本文的方法用来处理过渡反应时应该注意的一些问题。

In this paper, an Equivalent Step-Index-Fiber Method(ESFM)has been extended to multicladding fibers. Upon defining the refractive index profile for the multicladding preform, the equivalent normalized index difference for the equivalent step-index-fiber of the preform can be exactly derived by the method so that varieties of transmission parameters for the fiber drawn from the preform would be predicted conveniently. Meanwhile, cutoff wavelengths of double-cladding elliptical fibers have been...

In this paper, an Equivalent Step-Index-Fiber Method(ESFM)has been extended to multicladding fibers. Upon defining the refractive index profile for the multicladding preform, the equivalent normalized index difference for the equivalent step-index-fiber of the preform can be exactly derived by the method so that varieties of transmission parameters for the fiber drawn from the preform would be predicted conveniently. Meanwhile, cutoff wavelengths of double-cladding elliptical fibers have been calculated as an example for part confirmation. Comparision between the theory and results from the experiment fibers, except individual cases,shows an accuracy of 5% in predicted cutoff wavelengths.

本文将等效阶跃光纤方法(ESFM)推广到多包层光纤.当已知多包层坯棒折射率分布,则利用这种方法可严格计算出该坯棒的等效阶跃光纤的等效折射率差,从而可方便地估算出该坯棒拉制出光纤的各种传输参数.文中以计算双包层椭圆光纤的截止波长为例作为部分验证.理论计算和实际测量的结果表明,除个别情况外,精度达到5%.因而,在工程上解决了为确定多包层光纤的截止波长(或拉丝半径),而必须进行重复凑试拉丝和测量的困难,大大节省了时间、精力和材料.

By applying the equivalent normalized form of desected matrix,the article discusses the sufficient and necessary conditions of linear matrix equation A m×n X n×n =B m×n with nonsingular solution,gives out the general expression formula of nonsingular solution,thus generalizing the conclusion of the 4th point in it.

应用分块矩阵的等价标准形 ,讨论了线性矩阵方程Am×nXn×n=Bm×n有非奇异解的充要条件 ,并给出了非奇异解的一般表达式 ,从而推广了文 [4]的结论 .

 
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