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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
  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。
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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 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.In order to study the character of correlation coefficient between variables,using the probability theory,the conclusion is obtained.The correlation coefficient remains the absolute value unchanged after linear transformation,and keeps approximately equal after nun-linear transformation.In...

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.In order to study the character of correlation coefficient between variables,using the probability theory,the conclusion is obtained.The correlation coefficient remains the absolute value unchanged after linear transformation,and keeps approximately equal after nun-linear transformation.In the analysis of structural reliability, the correlation coefficient between random variables keeps approximately equal after equivalent normalization.The higher of the non-linear transformation degree is,the larger of the approximate error magnitude will be.

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。为了研究随机变量间相关系数的变化规律,利用概率论的基本思想分析得出,经过线性变换后变量之间相关系数保持绝对值不变,非线性变换后保持随机变量之间相关系数近似不变。因此在结构可靠度分析中,变量之间相关系数近似保持相等,其误差随变换的非线性程度增高而增大。

 
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