一类微生物连续发酵过程的GMA系统及其参数辨识

研究了一类微生物连续发酵过程的数学建模与参数辨识问题.提出了微生物连续发酵过程的GMA系统数学模型,并论述了该系统的数学性质.以状态变量的稳态实验数据与计算数据的误差平方和最小为性能指标构建了参数辨识模型.基于等价对数变换和SQP算法提出了一种参数辨识模型的求解方法,通过计算获得了最优参数值.与已有文献误差结果相比,取得了更小的浓度误差值.

MEAN APPROXIMATION BY DILATATIONS IN BERGMAN SPACES ON THE UPPER HALF-PLANE

We study sufficient conditions on radial and non-radial weight functions on the upper half-plane that guarantee norm approximation of functions in weighted Bergman,weighted Dirichlet,and weighted Besov spaces on the upper half-plane by dilatations and eventually by analytic polynomials.

Evolutionary Safe Padé Approximation Scheme for Dynamical Study of Nonlinear Cervical Human Papilloma Virus Infection Model

This study proposes a structure-preserving evolutionary framework to find a semi-analytical approximate solution for a nonlinear cervical cancer epidemic(CCE)model.The underlying CCE model lacks a closed-form exact solution.Numerical solutions obtained through traditional finite difference schemes do not ensure the preservation of the model’s necessary properties,such as positivity,boundedness,and feasibility.Therefore,the development of structure-preserving semi-analytical approaches is always necessary.This research introduces an intelligently supervised computational paradigm to solve the underlying CCE model’s physical properties by formulating an equivalent unconstrained optimization problem.Singularity-free safe Padérational functions approximate the mathematical shape of state variables,while the model’s physical requirements are treated as problem constraints.The primary model of the governing differential equations is imposed to minimize the error between approximate solutions.An evolutionary algorithm,the Genetic Algorithm with Multi-Parent Crossover(GA-MPC),executes the optimization task.The resulting method is the Evolutionary Safe PadéApproximation(ESPA)scheme.The proof of unconditional convergence of the ESPA scheme on the CCE model is supported by numerical simulations.The performance of the ESPA scheme on the CCE model is thoroughly investigated by considering various orders of non-singular Padéapproximants.

On Converse Theorem of Best Approximation by Polynomials in Bergman Spaces H_q^p(p>0,q>1)

A Bernstein type theorem and a converse theorem of best approximation by polynomials in Bergman spaces Hq^p(p>0,q>1) are proved.Some proofs and results in [1] are in proved.

Determining Hubbard U of VO_(2) by the quasi-harmonic approximation

Vanadium dioxide VO_(2) is a strongly correlated material that undergoes a metal-to-insulator transition around 340 K.In order to describe the electron correlation effects in VO_(2), the DFT+U method is commonly employed in calculations.However, the choice of the Hubbard U parameter has been a subject of debate and its value has been reported over a wide range. In this paper, taking focus on the phase transition behavior of VO_(2), the Hubbard U parameter for vanadium oxide is determined by using the quasi-harmonic approximation(QHA). First-principles calculations demonstrate that the phase transition temperature can be modulated by varying the U values. The phase transition temperature can be well reproduced by the calculations using the Perdew–Burke–Ernzerhof functional combined with the U parameter of 1.5eV. Additionally,the calculated band structure, insulating or metallic properties, and phonon dispersion with this U value are in line with experimental observations. By employing the QHA to determine the Hubbard U parameter, this study provides valuable insights into the phase transition behavior of VO_(2). The findings highlight the importance of electron correlation effects in accurately describing the properties of this material. The agreement between the calculated results and experimental observations further validates the chosen U value and supports the use of the DFT+U method in studying VO_(2).

Saddlepoint Approximation Method in Reliability Analysis:A Review

The escalating need for reliability analysis(RA)and reliability-based design optimization(RBDO)within engineering challenges has prompted the advancement of saddlepoint approximationmethods(SAM)tailored for such problems.This article offers a detailed overview of the general SAM and summarizes the method characteristics first.Subsequently,recent enhancements in the SAM theoretical framework are assessed.Notably,the mean value first-order saddlepoint approximation(MVFOSA)bears resemblance to the conceptual framework of the mean value second-order saddlepoint approximation(MVSOSA);the latter serves as an auxiliary approach to the former.Their distinction is rooted in the varying expansion orders of the performance function as implemented through the Taylor method.Both the saddlepoint approximation and third-moment(SATM)and saddlepoint approximation and fourth-moment(SAFM)strategies model the cumulant generating function(CGF)by leveraging the initial random moments of the function.Although their optimal application domains diverge,each method consistently ensures superior relative precision,enhanced efficiency,and sustained stability.Every method elucidated is exemplified through pertinent RA or RBDO scenarios.By juxtaposing them against alternative strategies,the efficacy of these methods becomes evident.The outcomes proffered are subsequently employed as a foundation for contemplating prospective theoretical and practical research endeavors concerning SAMs.The main purpose and value of this article is to review the SAM and reliability-related issues,which can provide some reference and inspiration for future research scholars in this field.

Gamma Approximation Based Multi-Antenna Covert Communication Detection

Covert communication technology makes wireless communication more secure,but it also provides more opportunities for illegal users to transmit harmful information.In order to detect the illegal covert communication of the lawbreakers in real time for subsequent processing,this paper proposes a Gamma approximation-based detection method for multi-antenna covert communication systems.Specifically,the Gamma approximation property is used to calculate the miss detection rate and false alarm rate of the monitor firstly.Then the optimization problem to minimize the sum of the missed detection rate and the false alarm rate is proposed.The optimal detection threshold and the minimum error detection probability are solved according to the properties of the Lambert W function.Finally,simulation results are given to demonstrate the effectiveness of the proposed method.

Relaxed Stability Criteria for Time-Delay Systems:A Novel Quadratic Function Convex Approximation Approach

This paper develops a quadratic function convex approximation approach to deal with the negative definite problem of the quadratic function induced by stability analysis of linear systems with time-varying delays.By introducing two adjustable parameters and two free variables,a novel convex function greater than or equal to the quadratic function is constructed,regardless of the sign of the coefficient in the quadratic term.The developed lemma can also be degenerated into the existing quadratic function negative-determination(QFND)lemma and relaxed QFND lemma respectively,by setting two adjustable parameters and two free variables as some particular values.Moreover,for a linear system with time-varying delays,a relaxed stability criterion is established via our developed lemma,together with the quivalent reciprocal combination technique and the Bessel-Legendre inequality.As a result,the conservatism can be reduced via the proposed approach in the context of constructing Lyapunov-Krasovskii functionals for the stability analysis of linear time-varying delay systems.Finally,the superiority of our results is illustrated through three numerical examples.

An Overview of Sequential Approximation in Topology Optimization of Continuum Structure

This paper offers an extensive overview of the utilization of sequential approximate optimization approaches in the context of numerically simulated large-scale continuum structures.These structures,commonly encountered in engineering applications,often involve complex objective and constraint functions that cannot be readily expressed as explicit functions of the design variables.As a result,sequential approximation techniques have emerged as the preferred strategy for addressing a wide array of topology optimization challenges.Over the past several decades,topology optimization methods have been advanced remarkably and successfully applied to solve engineering problems incorporating diverse physical backgrounds.In comparison to the large-scale equation solution,sensitivity analysis,graphics post-processing,etc.,the progress of the sequential approximation functions and their corresponding optimizersmake sluggish progress.Researchers,particularly novices,pay special attention to their difficulties with a particular problem.Thus,this paper provides an overview of sequential approximation functions,related literature on topology optimization methods,and their applications.Starting from optimality criteria and sequential linear programming,the other sequential approximate optimizations are introduced by employing Taylor expansion and intervening variables.In addition,recent advancements have led to the emergence of approaches such as Augmented Lagrange,sequential approximate integer,and non-gradient approximation are also introduced.By highlighting real-world applications and case studies,the paper not only demonstrates the practical relevance of these methods but also underscores the need for continued exploration in this area.Furthermore,to provide a comprehensive overview,this paper offers several novel developments that aim to illuminate potential directions for future research.

Nonlinear Filtering With Sample-Based Approximation Under Constrained Communication:Progress, Insights and Trends

The nonlinear filtering problem has enduringly been an active research topic in both academia and industry due to its ever-growing theoretical importance and practical significance.The main objective of nonlinear filtering is to infer the states of a nonlinear dynamical system of interest based on the available noisy measurements. In recent years, the advance of network communication technology has not only popularized the networked systems with apparent advantages in terms of installation,cost and maintenance, but also brought about a series of challenges to the design of nonlinear filtering algorithms, among which the communication constraint has been recognized as a dominating concern. In this context, a great number of investigations have been launched towards the networked nonlinear filtering problem with communication constraints, and many samplebased nonlinear filters have been developed to deal with the highly nonlinear and/or non-Gaussian scenarios. The aim of this paper is to provide a timely survey about the recent advances on the sample-based networked nonlinear filtering problem from the perspective of communication constraints. More specifically, we first review three important families of sample-based filtering methods known as the unscented Kalman filter, particle filter,and maximum correntropy filter. Then, the latest developments are surveyed with stress on the topics regarding incomplete/imperfect information, limited resources and cyber security.Finally, several challenges and open problems are highlighted to shed some lights on the possible trends of future research in this realm.

薄壁构件GMA增材制造成形特性与尺寸预测

采用熔化极气体保护电弧(Gas metal arc,GMA)作为热源,以H08Mn2Si焊丝作为填充材料,开展了多层单道薄壁构件堆积层尺寸特征研究。借助金相显微镜测量了堆积层尺寸,分析了堆积层尺寸特性并阐明其成形机制。结果表明,堆积层尺寸在前四层处于不稳定状态,波动较大。随堆积层数的增加,堆积层层高逐渐减小并趋于稳定,堆积层层宽先减小,随后逐渐增大并趋于稳定,层宽在第二个堆积层具有极小值。进一步设计了二次回归旋转组合试验方法,采集的试验数据作为训练样本,基于神经网络算法建立了堆积工艺参数(堆积电流、行走速度、堆积电压)与堆积层尺寸的非线性模型,经测试数据样本验证表明,模型预测精度较高,堆积层尺寸预测最大相对误差小于6.98%。根据堆积层尺寸预测模型,进行了封闭路径与非封闭路径薄壁构件的堆积成形,试验结果表明,该模型能够应用于薄壁构件GMA增材制造自适应分层切片过程。

PP/PP-g-GMA-St/MMT纳米复合材料的制备与表征

以十六烷基三甲基溴化铵处理钙基蒙脱土得到有机蒙脱土。采用反应挤出对极性很弱的PP进行接枝改性,得到接枝物PP-g-GMA-St,GMA的接枝率为0.7%。然后将其作为聚丙烯和有机蒙脱土的相容剂,熔融共混后得到分散效果良好的纳米复合材料。用FT-IR对接枝物进行了验证;并用XRD,TEM对复合体系的插层效果进行了分析和表征。

Bis-GMA/Nano(SiO_2-ZrO_2)复合树脂牙科材料的制备

目的:对纳米复合树脂牙科材料的制备方法进行研究,从工艺上解决纳米复合材料不够致密问题,使之能较多地应用于临床牙科材料中。方法:用双酚A-甲基丙烯酸缩水甘油酯(Bis-GMA)和双甲基丙烯酸二缩三乙二醇酯(TEGDMA)共同作为树脂基质,利用经过表面处理的纳米无机填料中的一种或者几种填料混合添加制备复合材料,同时采用原位分散法用高速搅拌和超声分散等制备工艺来改善纳米填料分散体系,运用DTA、XRD、SEM等实验手段对Bis-GMA/Nano(SiO2-ZrO2)纳米复合树脂材料进行性能测试及结构表征。结果:利用经过硅烷偶联剂表面处理的纳米SiO2和ZrO2可均匀分散在Bis-GMA基体中,所获得纳米颗粒增强体质量分数高达30%复合材料,制备出了一种力学性能好(致密性高、耐磨性强和硬度大)的数控加工用纳米复合树脂牙科材料。结论:该方法制备出的高性能Bis-GMA/nano(SiO2-ZrO2)复合树脂牙科材料,既美观又坚韧,能充分满足临床牙科修复学需要。

GMA改性光固化水性聚氨酯的合成及性能研究

以聚己二酸-1,4-丁二醇酯(PBA)、甲苯二异氰酸酯(TDI)、二羟甲基丙酸(DMPA)、丙烯酸羟乙酯(HEA)、甲基丙烯酸缩水甘油酯(GMA)为主要原料进行聚合,经三乙胺(TEA)中和,以去离子水乳化后,制得一种稳定的可紫外光固化的新型水性聚氨酯丙烯酸酯乳液。研究了GMA接枝温度和接枝前后的AFM相图,讨论了DMPA用量、总体NCO/OH比值、GMA用量、光引发剂用量对乳液及漆膜性能的影响。

单分散大粒径P(GMA-St)微球的制备

以乙醇水溶液为反应介质,聚乙烯吡咯烷酮(PVP)为分散剂,偶氮二异丁腈(AIBN)为引发剂,采用分散聚合法制备了粒径为4～9μm的单分散甲基丙烯酸缩水甘油酯/苯乙烯共聚物(P(GMA-St))微球。研究了分散聚合中单体配比及浓度、醇水比、分散剂及引发剂用量对微球粒径及粒径分布的影响。通过扫描电镜(SEM)和红外光谱(FTIR)对P(GMA-St)微球的表面形貌和化学结构进行了表征。

GMA在脉冲喷射开关阀中的应用

通过分析脉冲喷射开关阀的工作性能,提出致动器是决定脉冲喷射开关阀特性的关键因素.对比3种致动器的性能参数,指出GMA更适合脉冲喷射开关阀的工作要求.GMA的性能分析和仿真结果给出了在脉冲喷射开关阀中工作的GMA的静、动态特性.脉冲喷射开关阀单脉冲流量实验曲线表明:脉冲喷射开关阀的单脉冲流量随励磁电流的变化规律与GMA的磁致伸缩曲线特性相似,在GMA的磁致伸缩曲线的线性区即可满足单脉冲喷射流量要求.动态实验中,脉冲喷射开关阀的阀芯位移阶跃响应上升时间只有0.81 ms,远远满足脉冲喷射开关阀应用的工作频率要求.

LLDPE-g-GMA对PET/LLDPE性能的影响

自制了线性低密度聚乙烯与甲基丙烯酸缩水甘油酯接枝物(LLDPE-g-GMA),研究了LLDPE-g-GMA对聚对苯二甲酸乙二酯/线性低密度聚乙烯(PET/LLDPE)合金体系力学性能、结晶行为及玻璃化转变活化能的影响。结果表明,LLDPE-g-GMA有效地改善了PET/LLDPE的拉伸性能、弯曲性能及冲击性能;同时LLDPE-g-GMA的加入提高了PET的结晶速率,两者有较好的相容性;动态力学试验结果也证明了LLDPE-g-GMA与PET有较好的相容性,LLDPE-g-GMA可以作为PET/LLDPE体系的反应性增容剂。

HDPE-g-GMA对PA6/UHMWPE共混物性能的影响

采用自制甲基丙烯酸缩水甘油酯接枝高密度聚乙烯 (HDPE g GMA)作为增容剂来增容尼龙 6 /超高分子量聚乙烯 (PA6 /UHMWPE)共混物。通过Molau试验、红外光谱分析、扫描电子显微镜观察和物理力学性能测试 ,研究了HDPE g GMA在熔融共混过程中对PA6 /UHMWPE共混物的增容作用。结果表明 ,HDPE g GMA与PA6发生化学反应所生成的接枝聚合物对PA6 /UHMWPE共混物有较好的增容作用 ;PA6 /UHMWPE共混物的界面形态和力学性能均有较大改善 。

熔融法制备EPDM-g-GMA及其对PEN脆韧转变的研究

利用Haake流变仪对 (乙烯 /丙烯 /二烯 )共聚物 (EPDM)进行熔融接枝甲基丙烯酸缩水甘油酯 (GMA) ,考察了单体、引发剂 (DCP)用量对接枝率的影响。结果表明 ,随着DCP用量的增加 ,接枝率增大 ;随着GMA用量的增加 ,接枝率趋于一个平衡值。聚萘二甲酸乙二酯 (PEN) /EPDM g GMA共混物的脆韧转变主要受温度和EPDM g GMA用量的影响 ,增加EPDM g GMA用量可以降低PEN/EPDM g GMA共混物的脆韧转变温度。

GMA熔融接枝EPDM/NR共混物的动态硫化

研究了甲基丙烯酸缩水甘油酯（ＧＭＡ）熔融接枝ＥＰＤＭ（ＥＰＤＭｇＧＭＡ）与ＮＲ共混物的动态硫化。考察了ＧＭＡ用量、交联剂品种和用量以及动态硫化工艺条件对ＥＰＤＭｇＧＭＡ／ＮＲ动态硫化共混物力学性能的影响。结果表明：与直接静态硫化物相比，动态硫化物的拉伸强度提高了４８２％，热氧老化性能也得到了明显的改善；ＧＭＡ用量为３～５份、二乙烯三胺（ＤＥＴＡ）用量为０３份时，动态硫化共混物的力学性能较好；动态硫化的工艺条件对共混物性能无明显影响。另外，红外光谱测试表明，ＥＰＤＭ确实成功接枝了ＧＭＡ。