Systematic convergence of nonlinear stochastic estimators on the Special Orthogonal Group SO(3)

This paper introduces two novel nonlinear stochastic attitude estimators developed on the Special Orthogonal Group with the tracking error of the normalized Euclidean distance meeting predefined transient and steady‐state characteristics. The tracking error is confined to initially start within a predetermined large set such that the transient performance is guaranteed to obey dynamically reducing boundaries and decrease smoothly and asymptotically to the origin in probability from almost any initial condition. The proposed estimators produce accurate attitude estimates with remarkable convergence properties using measurements obtained from low‐cost inertial measurement units. The estimators proposed in continuous form are complemented by their discrete versions for the implementation purposes. The simulation results illustrate the effectiveness and robustness of the proposed estimators against uncertain measurements and large initialization error, whether in continuous or discrete form.     

On monitoring the process mean of autocorrelated observations with measurement errors using the w-of-w runs-rules scheme

Runs-rules have been widely used since the 1950s in industrial and nonindustrial process monitoring applications to improve the performance of basic and other traditional monitoring schemes. However, none of the studies on runs-rules have accounted for a process with a combined effect of measurement errors and autocorrelation. Hence, in this paper, the use of the w-of-w runs-rules to improve the performance of the Shewhart $\overline{X}$ scheme using an additive model with a constant variance and a first-order autoregressive model is proposed. To reduce the combined negative effect of measurement errors and autocorrelation, we implement a sampling strategy based on rational subgroups in which (a) multiple measurements per item are taken (instead of a standard single measurement) and (b) non-neighboring observations are gathered. Moreover, the latter sampling strategy is incorporated into the values of probability elements of a Markov chain matrix which is used to derive some closed-form expressions for the zero- and steady-state run-length distribution. The main finding of this study is that, with respect to some overall performance measures, the proposed scheme outperforms the existing Shewhart $\overline{X}$ scheme by a significant margin. A real-life example is used to illustrate the practical implementation of the proposed scheme.     

五流中间包稳态及非稳态试验

为改善国内某钢厂五流中间包流场,降低非稳态换包过程的负面影响,获得高品质洁净钢,通过水模拟试验进行稳态及非稳态换包过程的研究。试验结果表明,采用方案3的稳流器结构对该中间包稳态浇铸的流场更加有利,该试验条件下的死区体积比例为10.46%;非稳态换包过程的最佳工艺条件为换包液位350 mm、充包流量12 m3/h。     

Application of Lyapunov's Methods for Analyzing the Stability of a Tubular Chemical Reactor with Recycle

The first and second Lyapunov methods were adapted to analyze the stability of a tubular chemical reactor with recycle. The criterion of local stability in the form of inequalities was derived using Lyapunov's first method. It is an explicit algebraic form, despite the fact that the mathematical model of the reactor is a partial differential problem with a boundary condition. As part of the second Lyapunov method, a mathematical criterion for non-local stability was derived in the form of an increase of Lyapunov's function. Both criteria are presented on graphs.     

超临界二氧化碳干气密封稳态性能研究

以超临界二氧化碳(S-CO_2)干气密封为研究对象,建立变黏度变密度雷诺方程,通过构建物性数据库的方式对黏度及密度进行处理,并采用有限差分法对控制方程进行求解,得到端面压力分布,并计算开启力、泄漏量、摩擦扭矩和气膜刚度等稳态性能参数。结果表明:随着压力、转速的增大,开启力、泄漏量、摩擦扭矩、气膜刚度等参数均增大;随着槽坝比和槽深的增加,开启力、泄漏量和气膜刚度均增大,摩擦扭矩减小;随着槽数的增加,各稳态性能参数均减小;将槽坝比控制在0.5～1的范围内,有助于提高密封稳定性。     

Potential method in the theory of thermoviscoelastic mixtures

In this article, the linear theory of binary thermoviscoelastic mixtures is considered and the basic boundary value problems (BVPs) of steady vibrations are investigated. Namely, the fundamental solution of the system of equations of steady vibrations is constructed explicitly and its basic properties are established. Green’s second and third identities are obtained and the uniqueness theorems for classical solutions of the internal and external basic BVPs of steady vibrations are proved. The surface and volume potentials are constructed and their basic properties are given. The determinants of symbolic matrices are calculated explicitly. The BVPs are reduced to the always solvable singular integral equations for which Fredholm’s theorems are valid. Finally, the existence theorems for classical solutions of the internal and external BVPs of steady vibrations are proved by the potential method and the theory of singular integral equations.     

非晶合金宇航服役热环境下蠕变行为研究

通过宏观尺度蠕变实验,在宇航服役环境范围内,对锆基非晶合金蠕变行为进行了研究。结果表明,在200℃时,非晶合金未发生显著的压缩蠕变,其长期变形比率与自由体积的增值数值变化存在表观一致,说明自由体积作为孕育形成剪切带的初始结构单元,在非晶合金蠕变变形中具有重要作用。在300℃时,非晶合金在低于屈服强度和玻璃转变温度的条件下,发生了显著的压缩和拉伸蠕变,实验结果给出了在宇航热环境下非晶合金的可靠服役热环境边界和载荷包络。锆基非晶合金服役温度不超过200℃,载荷不超过1000 MPa。     

有均匀入渗时的潜水稳定井流公式

考虑到潜水含水层普遍存在入渗补给这一客观事实，本文应用迭加原理推导、建立有均匀入渗条件下潜水稳定井流公式．     

双级等推力油缸CAT分析

由于油缸长度有时受到空间尺寸的限制,故有多级油缸的产生。目前的多级油缸不能保证在整个推进行程内使推力保持不变,而有些生产设备又有此要求,所以有双级等推力油缸的出现。笔者论述了这一新型油缸的数学模型,给出了计算框图,并对计算结果作了分析。指出在系统压力不变的情况下,油缸推进时,其输出推力在整个行程中确实为一定值,阀的液阻系数是影响油缸工作性能的一个重要参数,面积比值是影响回程速度和拉力变化的最主要因素,并提出了解决这些问题的意见。     

基于COMSOL Multiphysic的煤层甲烷拟稳态吸附-运移数值模拟

由于煤层甲烷在煤岩体中的运移过程及其复杂，因此用来描述其运移的数学模型常常是高阶非线性的偏微分方程，为了能更好的解决此类问题，本文采用多重物理量数值模拟软件COMSOLMultiphysic对所建的拟稳态运移模型进行了模拟求解的研究，结果表明用该软件模拟的压力和浓度动态曲线更符合实际情况，而且可以用动态可视化模块来模拟压降过程。