然后，引用正交展开法分析了随机结构的地震响应。
Then, the dynamic response of stochastic structures is calculated by orthogonal expansion method.
提出了随机结构响应密度演化分析的映射降维算法。
A mapping-based dimension-reduction algorithm for probability density evolution analysis of stochastic structural responses is proposed.
提出了分析非线性随机结构响应的一种分段线性化方法。
In this paper, a subsection linearization method is developed and used in analyzing the dynamic response of nonlinear random structures.
本文提出了一类新的随机结构分析方法——扩阶系统方法。
This paper developed a type of new analysis method for stochastic structural system.
给出了随机结构系统安全余量和系统可靠性指标的敏度表达式；
The sensitivity expression of system reliability index and the safety margins were presented in the stochastic structure systems.
提出了随机荷载作用下随机结构线性静力反应的概率密度演化方法。
Probability density evolution method for the analysis of linear stochastic structural static response under random loading is proposed.
然后根据随机结构模型所反映出的裂隙和溶蚀洞穴有关参数计算渗透参数；
The second step is to calculate the hydraulic conductivity tensor of karstic rock using the data from the stochastic structure model.
文中主要考虑了材料的随机结构强度、随机材料性能参数以及随机载荷等。
The random structural strength of material, the random characterized parameters of material and the random loads are considered.
作为股价随机结构理论相关的线性长期记忆理论目前都得到了大量的研究。
As related to fractional theory, long memory now become popular more and more.
利用小参数摄动法，建立了随机结构在随机激励下的二阶摄动随机势能泛函。
Based on the method of small parameters perturbation of 2nd order, the stochastic functional of potential energy for structures with stochastic stiffness under stochastic stimulus is derived.
本文以现代数学理论为依托，研究了随机结构系统的一般实矩阵的特征值问题。
The eigenvalue problem of general real matrices was researched in random structure system that it is from depending on modern mathematics theories.
从实际工程出发，以现代数学理论为依托，研究了随机结构系统的特征值问题。
The eigenvalue problem is studied for random structure system from the view point of practical engineering on the background of modern mathematics theories.
数值实例表明在随机结构分析与可靠性计算方面随机无网格法具有明显的优势。
Numerical example shows that stochastic meshless method has obvious advantages in the probabilistic structure and reliability analysis.
算例表明：文中提出的随机结构分析和优化模型与设计方法是合理、可行和有效的。
A numerical example shows that the structural analysis and optimization design model and method in this paper are valid and feasible.
对遗传算法的编码、遗传算子进行了改进，使其更加适用于随机结构的可靠性优化。
Encode of GA and genetic operators are improved, so they are more appropriate for reliability optimization of stochastic structure.
密度演化方法是一类直接获取随机结构动力反应概率密度函数及其演化过程的有效方法。
The probability density evolution equation (PDEE) of the stochastic structural response is then established by introducing augmented state vector.
随机结构反应的概率密度演化方法能够给出随机荷载作用下随机结构反应的概率密度函数。
The probability density function of the stochastic structural response can be obtained by the probability density evolution method.
通过典型算例，定量地研究了复杂随机结构各子结构动模态选取个数和计算精度间的关系。
Numerical study shows that the relation between the chosen number of dynamic modes of sub-structures and the computational accuracy to meet the engi...
岩石边坡开挖中存在大量的随机结构面，结构面与岩桥的组合破坏是边坡破坏的一种重要形式。
There are lots of discontinuities whose geometry exhibits a random behavior in rock excavated slopes, and the failure surface of the slope is normally consisted of the joints and rock-bridges.
针对于多自由度线性复合随机结构的随机自振特性分析，提出了基于数论选点的直接模态摄动法。
The direct modal perturbation based on selecting point by number-theoretic method is proposed to find the random response of un-damping linear random structures.
针对随机结构在非平稳随机激励下的动力可靠性分析问题，提出了基于点估计法的随机结构动力可靠性分析方法。
For dynamic reliability analysis of stochastic structures under non-stationary random excitation, a new dynamic reliability assessment method is presented based on the point estimation.
基于概率密度演化的基本思想，构造一个虚拟随机过程，使得随机结构动力反应的极值为该虚拟随机过程的截口随机变量。
A virtual stochastic process is constructed so that the basic random variable becomes the value of the stochastic process at certain instants of time.
将递推随机有限元法与验算点法结合，提出了一种基于递推随机有限元法(RSFEM)的随机结构可靠度指标计算方法。
Based on recursive stochastic finite element method (RSFEM), a random damage identification method for frame and infilled frame structures was developed.
第一部分介绍了随机结构的基本概念，并对随机结构静力浅析浅析策略及大型复杂结构施工过程仿真浅析浅析策略进行了简述。
The first part introduces the concept and the common analysis methods of random structure static analysis and the simulation analysis methods of construction process for huge complex structure.
最终美国发明家Stanford Ovshinsky与他的公司ECD Ovonics成功地制备了随机结构的金属氢合金，实现了性能改良。
Eventually Stanford Ovshinsky, an American inventor, and his company, now known as ECD Ovonics, succeeded in creating metal-hydride alloys with a disordered structure that improved performance.
在一定空间区域内，由三维有限长的随机结构面及确定性结构面切割形成的所有块体的搜索问题，即全空间块体搜索问题，是裂隙岩体研究中十分重要的基础性课题。
Within a certain domain of rock mass, identification of all blocks cut by three-dimensional finite random or fixed discontinuities is a critical basic problem in jointed rock mass researches.
很少有数学结构在概念上像随机性那样简单。
Few mathematical constructs seem as conceptually simple as that of randomness.
很少有数学结构在概念上像随机性那样简单。
Few mathematical constructs seem as conceptually simple as that of randomness.
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