自然风速下低雷诺数风力机翼型气动特性随机数值分析

为量化随机自然风速条件下风力机翼型气动特性不确定程度,以S809风力机翼型为研究对象,基于非嵌入式概率配置点法和Transition SST转捩方程,建立了低雷诺数风力机翼型气动特性随机数值分析模型,获得了自然风速条件下风力机翼型气动力确定性和不确定性成分比例,并揭示了风速大小和方向随机耦合作用对翼型流场结构、压力系数和摩阻分布及湍动能的影响及不确定传播机制.结果表明,随机风速风向对翼型升阻气动因子不确定度影响显著,在计算攻角范围内S809翼型升阻比3σ置信区间相对不确定度最大为±35.13%;随机风速风向耦合作用下翼型升阻比不确定度分别是单随机因素下的4.76倍和1.08倍;翼型对来流不确定性敏感区域为前缘,可以考虑在翼型前缘部分进行气动稳健性优化设计.

随机锈蚀H型钢柱偏压承载力分析

为了揭示随机锈蚀对H型钢柱在偏压作用下极限承载能力的影响,采用随机有限元方法对随机点蚀钢柱的抗弯承载力的变化规律进行了研究,考虑了轴压比、几何参数以及锈蚀深度对H型钢柱抗弯承载力折减系数的影响;得到了不同几何尺寸下H型钢柱的适用性,揭示了折减系数随锈蚀深度的变化规律,提出了用于预测抗弯承载力折减系数的理论计算公式。结果表明,所提出的理论公式可以准确预测随机点蚀H型钢柱的抗弯承载力,可为评估既有H型钢柱的极限承载力提供理论基础。

基于点蚀演化的Q235钢材强度退化行为研究

【目的】为了评估腐蚀后钢材强度随点蚀演化的退化行为,基于不同腐蚀时间的钢基体表面蚀坑统计结果,利用ABAQUS有限元分析软件与Python程序实现了随机点蚀的原位演化,在此基础上提出了随机点蚀演化的力学性能评估方法。【方法】在保证数值模型与试验质量损失率一致的前提下,分析并验证了腐蚀钢材强度数值解的准确性和适用性,建立了点蚀影响下钢材的强度退化模型。此外,通过3组153个数值模型系统分析了蚀坑深度及质量损失率共同影响下Q235腐蚀钢材的屈服强度与极限强度的退化规律,提出了具有通用性的腐蚀后钢材屈服强度与极限强度随质量损失率与腐蚀深度的演化公式。【结果】结果表明,当蚀坑深度已知时,钢材剩余强度随质量损失率的增加呈指数型下降。点蚀影响下钢材的屈服强度和极限强度同时由质量损失率与蚀坑深度决定。

STOCHASTIC BOUNDARY ELEMENT METHODS FOR 3D PROBLEMS WITH BODY FORCES AND ITS APPLICATION IN RELIABILITY OF TURBINE DISKS

The stochastic boundary element method(SBEM)is developed in this paper for 3D problems with body forces and reliability analysis of engineering structures.The integral equations of SBEM are established by the approach of partial derivation with respect to stochastic variables,considering the yield limit,rotation speeds and material density to be the fundamental stochastic variables.Through analyzing a numerical example and a turbo-disk of an aeroengine,the results show that the method developed is successful.

Boundary Value Problems for First Order Stochastic Differential Equations

In this paper,we present a new technique to study nonlinear stochastic differential equations with periodic boundary value condition(in the sense of expec- tation).Our main idea is to decompose the stochastic process into a deterministic term and a new stochastic term with zero mean value.Then by using the contraction mapping principle and Leray-Schauder fixed point theorem,we obtain the existence theorem.Finally,we explain our main results by an elementary example.

Research on the characteristics of noise source on heading face and noise propagation in mine laneway

Based on the complexity and dynamic random analysis of machine noise source in mine heading face, this article established the noise pressure mathematical model of noise propagation in mine laneway of different noise sources, carried out noise propagation numerical simulation in long space, and revealed noise propagation law of more radiated noise sources in the mine roadway. The results show that, under conditions that the total noise power is always the same, regardless of point source, surface noise source, or body noise source, the corresponding noise attenuation trend along the mine laneway and attenuation curve shape are basically the same. However, the attenuation velocity corresponding to complex stereo noise source is slower than single point source and the noise pressure value is higher than the single point source. The actual noise of measured values is close to the theoretical value or, say, there is little error for complex stereo noise source, whereas the error to single point source and surface noise is higher, respectively.

Application of Extreme Value Theory to Generation and Analysis of Pseudorandom Samples

The article deals with the methodology of pseudorandom data analysis. As a mathematical tool for carrying out the research the extreme value theory was used that creates one of the directions in mathematical statistics, and is related to investigating the extreme deviations from the median values in probability distributions. Also, the methods for estimating unknown parameters and algorithm of random-number generation are discussed. The models of treatment the extreme values are constructed which are based on machine generated sample and approach is proposed for their future application for constructing forecasting models.

Numerical analysis of uncertain temperature field by stochastic finite difference method

Based on the combination of stochastic mathematics and conventional finite difference method,a new numerical computing technique named stochastic finite difference for solving heat conduction problems with random physical parameters,initial and boundary conditions is discussed.Begin with the analysis of steady-state heat conduction problems,difference discrete equations with random parameters are established,and then the computing formulas for the mean value and variance of temperature field are derived by the second-order stochastic parameter perturbation method.Subsequently,the proposed random model and method are extended to the field of transient heat conduction and the new analysis theory of stability applicable to stochastic difference schemes is developed.The layer-by-layer recursive equations for the first two probabilistic moments of the transient temperature field at different time points are quickly obtained and easily solved by programming.Finally,by comparing the results with traditional Monte Carlo simulation,two numerical examples are given to demonstrate the feasibility and effectiveness of the presented method for solving both steady-state and transient heat conduction problems.