Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review

Monte Carlo methods have attracted constant and even increasing attention in structural reliability analysis with a wide variety of developments seamlessly presented over decades. Along the way, a number of specialized reviews and benchmark studies have been provided from time to time, aiming at summarizing and comparing selected few approaches in detail, mainly from an implementation point of view. In contrast, the aim of the present survey is to play a comprehensive role as a methodological guidebook on Monte Carlo simulation and its related, especially variance reduction, techniques through a covering of 444 references in the relevant literature. To achieve this goal, we present an extensive review of formulations and techniques along with insightful summaries of developments of existing numerical methods, ranging from the general formulation, sub-categories and variants, to their combined uses with other simulation techniques and surrogate models, as well as the key advantages and assumptions.     

Dynamical responses for a vertical vibration model of a four-roller cold rolling mill under combined stochastic and harmonic excitations

Considering that random fluctuations can affect the rolling process of cold rolling mills, leading to abnormal cold mill performance and defects in the rolled product. Therefore, it is crucial to study the influence of random fluctuations on the system of cold rolling mills. In this paper, taking a model of the vertical vibration of a four-roller cold rolling mill under harmonic excitation as a prototype class for a real system, the effects of random fluctuations on the system response are analyzed. Firstly, based on the deterministic vertical vibration model of a four-roller cold rolling mill under harmonic excitation, a stochastic vertical vibration model of a four-roller cold rolling mill with random fluctuation as Gaussian white noise is introduced. Subsequently, the vertical vibration model of a four-roller rolling mill is theoretically analyzed by the averaging method and the stochastic averaging method, respectively. The effectiveness of the proposed theoretical method is verified by numerical simulation results, and the influences of harmonic excitation and random excitation on the system response are also investigated in detail. Finally, the results show that the noise induces the occurrence of stochastic transitions and bifurcations, and the steady-state probability density function and time history diagrams are given to further explain the existence of these dynamic phenomena. The related research can provide theoretical guidance for the realization of vibration control and reliability design in the four-roller cold rolling mill system.     

基于二阶梯度的图像增强算法研究

针对PCB图像的特点对图像进行增强处理,使得图像的边缘更加突出,灰度的对比度增加,同时滤除靠近边缘的噪声,为后续图像分割时更有效的选取阈值打下良好基础。使用二阶梯度算子获得图像的增强效果,实验表明,不仅解决了边缘附近噪声去除问题,而且有效地突出了边缘信息,图像的黑白对比分明,尤其是目标图像靠近边缘部分灰度值明显高于其他的非边缘区域。     

余度IMU精度分析与数据融合方法改进

针对现有余度IMU（inertial measurement unit）数据融合精度不高的问题,在对六单轴传感器非正交配置的余度IMU数据融合特性及测量误差与融合误差之间关系进行研究的基础上,提出了1种基于最小二乘简单、有效的余度传感器测量误差估计及数据融合方法。首先对最小二乘融合的空间矢量在测量轴上的投影与测量值之间的误差进行方差统计,统计结果作为传感器测量误差估计的依据及加权最小二乘的权值参考。然后利用加权最小二乘对传感器测量数据进行融合。仿真结果表明：该方法能有效估计传感器测量误差大小,提高余度IMU数据融合及余度惯性导航系统精度。     

基于单片机的新型智能声级计的开发与研究

针对传统声级计采用纯硬件计权网络来实现噪声测量存在的操作复杂、检测精度低等问题,通过采用单片机作为智能声级计核心处理芯片,实现噪声的实时智能检测。阐述了智能声级计具体结构框架,并对系统的组成进行详细介绍,最后对声级计进行实验测试。     

Transformation of a thin-walled solid model into a surface model via solid deflation

A simplified geometric model with lower dimensionality, such as a mid-surface model, is often preferred over a detailed solid model for the analysis process, if the analysis results are not seriously impacted. In order to derive a mid-surface model from a thin-walled solid model, in this paper, we propose a novel approach called the solid deflation method. In this method, a solid model is assumed to be created by using air to inflate a shell that comprises the surface of the solid model. First, the model is simplified by the removal of any detailed features whose absence would not alter its overall shape. Next, the solid model itself can be converted into a degenerate solid model with zero thickness. Finally, a surface model is generated by splitting large faces paired in the thinned solid model, selecting one face per pair for creating a sheet model, and sewing the selected faces. Using this method, a more practical and usable mid-surface model can be very efficiently generated from a solid model because it can circumvent not only the tedious trimming and extension processes of the medial axis transformation method but also the time-consuming patch joining process of the mid-surface abstraction approach.     

Critical point analysis using domain lifting for fast geometry queries

In this paper, a general scheme for solving coherent geometric queries on freeform geometry is presented and demonstrated on a variety of problems common in geometric modeling. The underlying strategy of the approach is to lift the domain of the problem into a higher-dimensional space to enable analysis on the continuum of all possible configurations of the geometry. This higher-dimensional space supports analysis of changes to solution topology by solving for critical points using a B-spline-based constraint solver. The critical points are then used to guide fast, local methods to robustly update repeated queries. This approach effectively combines the speed of local updates with the robustness of global search solutions. The effectiveness of the domain lifting scheme (DLS) is demonstrated on several geometric computations, including accurately generating offset curves and finding minimum distances. Our approach requires a preprocessing step that computes the critical points, but once the topology is analyzed, an arbitrary number of geometry queries can be solved using fast local methods. Experimental results show that the approach solves for several hundred minimum distance computations between planar curves in one second and results in a hundredfold speedup for trimming self-intersections in offset curves.     

Nonlinear embedding preserving multiple local-linearities

Locally linear embedding (LLE) is one of the effective and efficient algorithms for nonlinear dimensionality reduction. This paper discusses the stability of LLE, focusing on the optimal weights for extracting local linearity behind the considered manifold. It is proven that there are multiple sets of weights that are approximately optimal and can be used to improve the stability of LLE. A new algorithm using multiple weights is then proposed, together with techniques for constructing multiple weights. This algorithm is called as nonlinear embedding preserving multiple local-linearities (NEML). NEML improves the preservation of local linearity and is more stable than LLE. A short analysis for NEML is also given for isometric manifolds. NEML is compared with the local tangent space alignment (LTSA) in methodology since both of them adopt multiple local constraints. Numerical examples are given to show the improvement and efficiency of NEML.     

基于BP网络的SO_2排放预测模型研究

多数大型企业具有高能源消耗、高资源消耗的特点,这些企业的发展引发了经济发展和环境保护之间的冲突,本文通过BP网络技术发现了大型企业的能源消耗数据与SO2排放之间的非线性关系,为大型企业节能减排指标实现提供了理论依据。     

基于FLAC3D的黄土基底排土场稳定分析

我国大型露天煤矿主要分布在西北部的黄土高原地区,以黄土为基底的排土场形成后,黄土基底的工程性质将发生改变并形成演化弱层,演化弱层对排土场边坡稳定性起到控制作用,由于弱层的存在,边坡容易形成"坐落-滑移式"破坏。本次分析是基于强度折减理论,应用FLAC3D对排土场边坡变形进行数值模拟,展现出排土场边坡变形机理。依据数值模拟结果,获得排土场边坡的最危险滑面和多处潜在滑动面。为排土场边坡失稳的预测及防治工作提供科学依据。