Efficient structural reliability analysis via a weak-intrusive stochastic finite element method

This paper presents a novel methodology for structural reliability analysis by means of the stochastic finite element method (SFEM). The key issue of structural reliability analysis is to determine the limit state function and corresponding multidimensional integral that are usually related to the structural stochastic displacement and/or its derivative, e.g., the stress and strain. In this paper, a novel weak-intrusive SFEM is first used to calculate structural stochastic displacements of all spatial positions. In this method, the stochastic displacement is decoupled into a combination of a series of deterministic displacements with random variable coefficients. An iterative algorithm is then given to solve the deterministic displacements and the corresponding random variables. Based on the stochastic displacement obtained by the SFEM, the limit state function described by the stochastic displacement (and/or its derivative) and the corresponding multidimensional integral encountered in reliability analysis can be calculated in a straightforward way. Failure probabilities of all spatial positions can be obtained at once since the stochastic displacements of all spatial points have been known by using the proposed SFEM. Furthermore, the proposed method can be applied to high-dimensional stochastic problems without any modification. One of the most challenging problems encountered in high-dimensional reliability analysis, known as the curse of dimensionality, can be circumvented with great success. Three numerical examples, including low- and high-dimensional reliability analysis, are given to demonstrate the good accuracy and the high efficiency of the proposed method.     

Fracture experiments on through wall cracked elbows under in-plane bending moment: Test results and theoretical/numerical analyses

Fracture assessment of pipe bends or elbows with postulated through wall crack is very essential for leak-before-break qualification of primary heat transport system piping of nuclear power plants. The methodology for fracture assessment of cracked elbows is still in developing stage. Any new development in theoretical aspect requires experimental validation. However, fracture test data on cracked elbows is not so abundant as straight pipes. The earlier experiments on cracked elbows were focused mainly on the determination of limit load. Other fracture parameters e.g. crack growth, crack initiation load or crack opening displacement were not reported in the open literature. Against this backdrop, a comprehensive experimental and theoretical program on component integrity has been initiated at Reactor Safety Division (RSD) of Bhabha Atomic Research Center (BARC), India. Under this program, a number of fracture tests have been carried out on elbows with through wall circumferential/axial cracks subjected to in-plane closing/opening bending moment. These test data are then thoroughly analysed numerically through non-linear finite element analyses, analytically through limit load comparison and also through comparison of crack initiation loads by finite element and R6 methods. These test data may be utilized in future for validation of new theoretical developments in the integrity assessment of through wall cracked elbows.     

成层地基一维土层地震反应解析

基于改进的一维剪切梁模型，对成层土层推导了确定自振频率、振型函数、参与系数及稳态动力响应的封闭型解析表达式．首次证明了成层土层振型函数的正交性，最后应用本解析解对一个算例进行了计算，得到了土层的最大地震反应值(位移、加速度、剪应力)．     

用边界元法计算轴对称弹性体内部点位移、应力和边界应力

采用边界元法推导出了具有轴对称问题的弹性体内部点位移、应力和边界应力的计算公式，并且给出了算例。     

分条整经机定幅筘位移量的简易经验公式探讨

介绍了分条整经工序中整经机定幅筘位移量的简易经验计算公式,具体例举了公式的实际应用情况,可供纺织企业技术人员参考。     

Image‐based Continuous Displacement Measurements Using an Improved Spectral Approach

Digital Image Correlation algorithms capable of determining continuous displacement fields are receiving growing attention in the field of mechanical properties identification. In this paper, we develop an Improved Spectral Approach (ISA) to reconstruct continuous displacements based on their Fourier decomposition. This approach leads to a time and memory‐efficient algorithm, thanks to the fast Fourier transform. Moreover, the Fourier‐based decomposition enables accurate heterogeneous measurements. Improvements consist in increasing the accuracy and convergence rate as well as dealing with non‐periodic displacements and images. Furthermore, a theoretical framework is presented to quantify the noise sensitivity of the ISA from which useful information is retrieved. The approach is evaluated using synthetic images deformed by heterogeneous displacement fields. Comparisons show that the introduced modifications lead to lower uncertainties by one order of magnitude in the case of non‐periodic images and displacement field studied. Moreover, first‐order (SO1) and second‐order (SO2) subset‐based Digital Image Correlation algorithms are compared with the ISA. The comparisons herein reveal that the uncertainties of the ISA are 6–9 times smaller than those of the SO1 due to insufficiency of the first‐order shape function for the estimation of heterogeneous displacements, while being slightly smaller than those of the SO2. Moreover, as the image smoothness decreases, the uncertainties of the SO2 deviate from those of the ISA and the exact displacements. The presented approach shows great potentials for challenging applications such as strain measurements at microstructural levels.     

露天磷矿边坡岩体变形分析的Fuzzy模型

根据磷矿露天开采工程实际,采用Fuzzy测度理论,将开挖引起岩体边坡移动变形这一客观现象视为一模糊事件,依此建立了边坡岩体移动变形预测分析的Fuzzy测度模型.利用所建模型对已有的矿山边坡岩体移动参数进行了反分析,并对露天边坡移动变形及其稳定性进行了具体的分析,所获结果符合工程实际.     

矩形顶管施工地下管线破坏机理分析与控制

由于顶管施工不可避免地对周围土体产生扰动,引起地层移动,从而威胁邻近地下管线的安全.文中以某地铁站出口市政过街通道矩形顶管施工为背景,通过分析矩形顶管施工时土体与地下管线的相互作用,探讨管线应力和位移的分布情况,对其破坏机理进行了总结,并阐述了相应的控制措施.     

五强溪水电站船闸边坡的粘弹性位移反分析及变形预测

位移反分析的提出,可望为边坡工程设计工程师提供一个确定有关地层力学参数和某些地应力分量的新方法。本文针对五强溪水电站左岸边坡岩层的特点,选择了HK模型,并从该边坡的实测位移出发,反演该边坡工程设计所需要的岩体力学参数。文中较详细地阐述了有关原理和可行的方法     

壳体后屈曲大变形分析的一种方法

研究薄亮的大变形问题，强调其屈曲及后屈曲大变形的分析．给出了一套分析算式及一些例证．