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.

A grouting simulation method for quick-setting slurry in karst conduit:The sequential flow and solidification method

It is difficult to temporally and spatially track and characterize the slurry viscosity in flowing water during grouting simulation.In this study,a sequential flow and solidification(SFS)method considering the spatial-temporal evolution of slurry viscosity in flowing water in karst conduit is proposed.First,a time-dependent model for the threshold function of slurry viscosity is established.During the grouting process,the spatial-temporal evolution of slurry viscosity is revealed by tracking the diffusion behavior of the slurry injected at different times.This method is capable of describing the gradual solidification process of the slurry during grouting.Furthermore,a physical model of grouting in a karst conduit is developed.Second,the effectiveness of the SFS method in grouting simulation is verified by the experiment of grouting conduit in flowing water.The SFS method enables real-time monitoring of fluid velocity and pressure during grouting in flowing water and provides a feasible calculation method for revealing the grouting plugging mechanism in complex karst conduits at different engineering scales.In addition,it can be used to guide the design of grouting tests in flowing water,improve cost efficiency,and provide theoretical basis for optimizing grouting design and slurry selection.

Sequential Monte Carlo Method Toward Online RUL Assessment with Applications

Online assessment of remaining useful life(RUL) of a system or device has been widely studied for performance reliability, production safety, system conditional maintenance, and decision in remanufacturing engineering. However,there is no consistency framework to solve the RUL recursive estimation for the complex degenerate systems/device.In this paper, state space model(SSM) with Bayesian online estimation expounded from Markov chain Monte Carlo(MCMC) to Sequential Monte Carlo(SMC) algorithm is presented in order to derive the optimal Bayesian estimation.In the context of nonlinear & non-Gaussian dynamic systems, SMC(also named particle filter, PF) is quite capable of performing filtering and RUL assessment recursively. The underlying deterioration of a system/device is seen as a stochastic process with continuous, nonreversible degrading. The state of the deterioration tendency is filtered and predicted with updating observations through the SMC procedure. The corresponding remaining useful life of the system/device is estimated based on the state degradation and a predefined threshold of the failure with two-sided criterion. The paper presents an application on a milling machine for cutter tool RUL assessment by applying the above proposed methodology. The example shows the promising results and the effectiveness of SSM and SMC online assessment of RUL.

Plotting the Sequential Rock Remote Sensing Information by Optimization Dichotomy Method

The sequential rock remote sensing information is a group of rocks that are correlative in space or in space and time. For the sake of plottiug them, someone had brought forward the optimization segn.entotion metkod. We have ased this method to plot the sequential rock remote sensing information at tbe remote sensing hyperspetral test field of Daqing mountain, Inner Mongolia Autonomous Region, China, and found some disadvantages of this method. Therefore, we put forward the optimization dichotomy to plot them, and get better results. Finally we make a conclusion.

A SUPERLINEARLY CONVERGENT SPLITTING FEASIBLE SEQUENTIAL QUADRATIC OPTIMIZATION METHOD FOR TWO-BLOCK LARGE-SCALE SMOOTH OPTIMIZATION

This paper discusses the two-block large-scale nonconvex optimization problem with general linear constraints.Based on the ideas of splitting and sequential quadratic optimization(SQO),a new feasible descent method for the discussed problem is proposed.First,we consider the problem of quadratic optimal(QO)approximation associated with the current feasible iteration point,and we split the QO into two small-scale QOs which can be solved in parallel.Second,a feasible descent direction for the problem is obtained and a new SQO-type method is proposed,namely,splitting feasible SQO(SF-SQO)method.Moreover,under suitable conditions,we analyse the global convergence,strong convergence and rate of superlinear convergence of the SF-SQO method.Finally,preliminary numerical experiments regarding the economic dispatch of a power system are carried out,and these show that the SF-SQO method is promising.

An Adaptive Sequential Replacement Method for Variable Selection in Linear Regression Analysis

With the rapid development of DNA technologies, high throughput genomic data have become a powerful leverage to locate desirable genetic loci associated with traits of importance in various crop species. However, current genetic association mapping analyses are focused on identifying individual QTLs. This study aimed to identify a set of QTLs or genetic markers, which can capture genetic variability for marker-assisted selection. Selecting a set with k loci that can maximize genetic variation out of high throughput genomic data is a challenging issue. In this study, we proposed an adaptive sequential replacement (ASR) method, which is considered a variant of the sequential replacement (SR) method. Through Monte Carlo simulation and comparing with four other selection methods: exhaustive, SR method, forward, and backward methods we found that the ASR method sustains consistent and repeatable results comparable to the exhaustive method with much reduced computational intensity.

Antibacterial activity of sequentially extracted organic solvent extracts of fruits,flowers and leaves of Lawsonia inermis L.from Jaffna

Objective:To reveal the antibacterial activity of sequentially extracted different cold organic solvent extracts of fruits,flowers and leaves of Lawsonia inermis(L against)some pathogenic bacteria.Methods:Powders of fruits,flowers and leaves of L inermis were continuously extracted with dichloromethane(DCM),ethyl acetate and ethanol at ambient temperature.The dried extracts were prepared into different concentrations and tested for antibacterial activity by agar well diffusion method,and also the extracts were tested to detennine the available phytochemicals.Results:Except DCM extract of flower all other test extracts revealed inhibitory effect on all tested bacteria and their inhibitory effect differed significantly(P<0.05).The highest inhibitory effect was showed by ethyl acetate extract of flower against Staphylococcus aureus(S.aureus)and Pseudomonas aeruginosa(P.aeruginosa),and ethyl acetate extract of fruit on Escherichia coli(E.coli)and Bacillus subtilis(6.subtilis).The ethyl acetate and ethanol extracts of flower,fruit and leaf expressed inhibition even at 1 mg/100μl against all test bacteria.Among the tested phytochemicals flavonoids were detected in all test extracts except DCM extract of flower.Conclusions:The study demonstrated that the ethyl acetate and ethanol extracts of fruit and flower of L inermis are potentially better source of antibacterial agents compared to leaf extracts of respective solvents.

Bayesian sequential testing for exponential life system with reliability growth

A Bayesian sequential testing method is proposed to evaluate system reliability index with reliability growth during development.The method develops a reliability growth model of repairable systems for failure censored test,and figures out the approach to determine the prior distribution of the system failure rate by applying the reliability growth model to incorporate the multistage test data collected from system development.Furthermore,the procedure for the Bayesian sequential testing is derived for the failure rate of the exponential life system,which enables the decision to terminate or continue development test.Finally,a numerical example is given to illustrate the efficiency of the proposed model and procedure.

Theoretical study on non-sequential double ionization of carbon disulfide with different bond lengths in linearly polarizedlaser fields

By using a two-dimensional Monte-Carlo classical ensemble method, we investigate the double ionization（DI） process of the CS_2 molecule with different bond lengths in an 800-nm intense laser field. The double ionization probability presents a ＂knee＂ structure with equilibrium internuclear distance R = 2.9245 a.u.（a.u. is short for atomic unit）. As the bond length of CS increases, the DI probability is enhanced and the ＂knee＂ structure becomes less obvious. In addition,the momentum distribution of double ionized electrons is also investigated, which shows the momentum mostly distributed in the first and third quadrants with equilibrium internuclear distance R = 2.9245 a.u. As the bond length of CS increases,the electron momentum becomes evenly distributed in the four quadrants. Furthermore, the energy distributions and the corresponding trajectories of the double-ionized electrons versus time are also demonstrated, which show that the bond length of CS in the CS_2 molecule plays a key role in the DI process.

A novel PID controller tuning method based on optimization technique

An approach for parameter estimation of proportional-integral-derivative(PID) control system using a new nonlinear programming(NLP) algorithm was proposed.SQP/IIPM algorithm is a sequential quadratic programming(SQP) based algorithm that derives its search directions by solving quadratic programming(QP) subproblems via an infeasible interior point method(IIPM) and evaluates step length adaptively via a simple line search and/or a quadratic search algorithm depending on the termination of the IIPM solver.The task of tuning PI/PID parameters for the first-and second-order systems was modeled as constrained NLP problem. SQP/IIPM algorithm was applied to determining the optimum parameters for the PI/PID control systems.To assess the performance of the proposed method,a Matlab simulation of PID controller tuning was conducted to compare the proposed SQP/IIPM algorithm with the gain and phase margin(GPM) method and Ziegler-Nichols(ZN) method.The results reveal that,for both step and impulse response tests,the PI/PID controller using SQP/IIPM optimization algorithm consistently reduce rise time,settling-time and remarkably lower overshoot compared to GPM and ZN methods,and the proposed method improves the robustness and effectiveness of numerical optimization of PID control systems.

Feasibility evaluation for excavation of Naghshe Jahan Square subway station by underground methods

In recent years, in reaction to the increasing usage of urban areas, the excavation of underground spaces has been developed. One of the most challenging issues encountered by engineers is the construction of subway stations as large underground spaces at shallow depth with soft surrounding soils. In this paper, Naghshe Jahan Square subway station located in Isfahan, Iran, has been simulated by geomechanical fnite difference method(FDM). This station is located under important historical structures. Therefore, the ground displacement and surface settlement induced by the excavation of the subway station should be strictly controlled. Many of such problems are affected by selected excavation method. For these reasons, different underground excavation methods associated with construction have been studied. In this study, sequential excavation method and large-diameter curved pipe roofng method are used and the numerical results of the two methods are compared. The presence of groundwater table obliges us to choose special techniques for the stability of the ground around the subway station during construction; hence compressed air and ground freezing techniques are utilized in the simulations of the subway station. Finally, after choosing appropriate support systems, the large-diameter curved pipe roofng method with 1.5 m spacing between curved pipes is proposed.

Viscosity approximation methods with weakly contractive mappings for nonexpansive mappings

Let K be a closed convex subset of a real reflexive Banach space E, T：K→K be a nonexpansive mapping, and f：K→K be a fixed weakly contractive （may not be contractive） mapping. Then for any t∈（0, 1）, let x1∈K be the unique fixed point of the weak contraction x1→tf（x）＋（1-t）Tx. If T has a fixed point and E admits a weakly sequentially continuous duality mapping from E to E^＊, then it is shown that {xt} converges to a fixed point of T as t→0. The results presented here improve and generalize the corresponding results in （Xu, 2004）.

Numerical method for optimum motion of undulatory swimmingplate in fluid flow

A numerical method for the optimum motion of an undulatory swimming plate is presented. The optimum problem is stated as minimizing the power input under the condition of fixed thrust. The problem is singular for the invisible modes, and therefore the commonly used Lagrange multiplier method cannot predict an optimum solution but just a saddle point. To eliminate the singularity, an additional amplitude inequality constraint is added to the problem. A numerical optimization code with a sequential quadratic programming method is used to solve the problem. The method is applied to several cases of the motion of two-dimensional and three-dimensional undulatory plates, and the optimum results are obtained.

A Study of Sediments and Radioactive Particles of the Yenisei River Using a Variety of Analytical Methods

The Yenisei River, one of the largest rivers in the world, is contaminated with artificial radionuclides released by a Russian nuclear facility producing weapon-grade plutonium, which has been in operation for many years. Examination of Yenisei River sediment samples revealed the presence of artificial radionuclides typical of radioactive discharge from the Mining-and-Chemical- Combine (MCC) nuclear facility: isotopes of europium (152Eu, 154Eu, and 155Eu), cesium (137Cs and 134Cs), 60Co, 90Sr, and transuranium elements. The MCC is also a source of radioactive particles in the Yenisei. New data on radionuclide concentrations in sediments and radioactive particles in the Yenisei River were obtained using a wide range of analytical methods. Sequential extraction performed on samples of sediment cores showed different degrees of potential environmental availability of artificial radionuclides and uranium. In a few samples, 241Am was present in the unextractable form, which may be accounted for by the presence of microparticles of the reactor fuel. These microparticles were investigated using scanning electron microscopy, and their reactor origin was confirmed.

The Method for Optimum Estimation of COVID-19 Variant Type Virus Infection Status Analysis by the Multivariate Analysis Considering the Environmental Variability Impact in Japan

Currently, the estimated value of the effective reproduction number (ERN), which is an index for grasping the COVID-19 infection status, is used for important planning and evaluation of infection prevention measures. Since ERN in the Sequential SIR model fluctuates in multiple dimensions due to changes in the surrounding environment, it is difficult to set the appropriate accuracy of the uncertainty region of the estimated data. The challenge in this study is to build a mathematical model of infectious disease according to the characteristics and data characteristics of the infectious disease and select an appropriate estimation method. Highly accurate quantitative research that analyzes the validity of “how infectious diseases prevail” from an academic point of view is the key to prediction and estimation in appropriate infection situation analysis. In this study, we adopted a statistical multivariate analysis method (T method) that enables evaluation and prediction of important factors related to ERN estimation and analysis of phenomena that change in real time (time series analysis). It was clarified that it is possible to estimate with higher accuracy by applying the T method to the estimated value of ERN by the current SIR mathematical model.

Development an Adaptive Environmental Assessment Method for Buildings

The idea behind this work is developing an adaptive method for the environmental assessment of buildings, to configure different versions according to the variables affecting them (spatial, temporal and associated with building characteristics) to suit different evaluated projects. This method may be applied using an electronic tool, which is in a development stage. Amending different assessment versions of the adaptive method is done by including the variables effect, according to set of steps, such as modifying the formulation of the assessment items, adjusting their estimation weights, and amending their achievement evaluation levels and their returned scores. When using the adaptive method, the assessment result of a building using a certain version differs from the results using other versions, even in the same country, so configuring an appropriate version due to the variables affecting the assessment helps getting more accurate results than the ones currently provided. The main goal of that research is to introduce the adaptive method that is proposed to ensure a fairer assessment results from the perspective of Green Architecture, and allow a more credible and accuracy of results comparison according to the environmental performance of buildings. The researcher analyzed the different main features she used in developing the adaptive method, the Comparative aspects between it and the current assessment methods, and the expected reached advantages from its usage. The paper arrived to the importance of adapting the environmental assessment of buildings according to the different affecting variables, and recommended developing the adaptive method and its tool to the stage of application to benefit its advantages.

补肾活血序贯法对薄型子宫内膜大鼠内膜形态及VEGF、Vimentin、CK12蛋白表达的影响

目的:观察补肾活血序贯法中药对薄型子宫内膜大鼠内膜形态、血管内皮生长因子(VEGF)蛋白、波形蛋白(Vimentin)和组织细胞角蛋白12(cytokeratin 12,CK12)表达的影响。方法:将SPF级雌性SD大鼠连续灌胃羟基脲8 d复制肾虚薄型子宫内膜模型,造模成功后50只大鼠随机分为模型组、中药低剂量组、中剂量组、高剂量组及补佳乐组(阳性对照组)每组10只,另取10只大鼠为假手术组。假手术组和模型组灌胃等量蒸馏水,补佳乐组灌胃补佳乐0.3 mg/kg。其余3组动情期分别灌胃给予低、中、高剂量的消癥合剂;动情前期、动情后期和动情间期分别灌胃给予低、中、高剂量的养膜助孕包,连续给药3个动情周期,共15 d。干预结束后,HE染色观察大鼠子宫内膜形态;免疫组化检测大鼠子宫内膜VEGF、Vimentin和CK12表达。结果:模型组大鼠子宫内膜厚度、腺体数和血管数明显低于假手术组(P<0.01)。中药中、高剂量组及补佳乐组大鼠子宫内膜厚度、腺体数和血管数明显高于模型组(P<0.05或0.01)。中药中、高剂量组和补佳乐组大鼠子宫内膜组织VEGF的表达量均明显多于模型组(P<0.01),中药高剂量组子宫内膜组织Vimentin蛋白表达量明显高于模型组(P<0.01),中药低、中、高剂量组和补佳乐组子宫内膜组织CK12的表达明显多于模型组(P<0.05或0.01)。结论:补肾活血序贯法中药可以增加肾虚薄型子宫内膜模型大鼠的子宫内膜厚度及内膜组织VEGF、Vimentin、CK12蛋白表达。

基于加权实例推理的缓倾斜综采工作面液压支架选型研究

为实现地质构造简单的缓倾斜综采工作面液压支架智能化选型,提出了一种基于加权实例推理的液压支架选型方法。首先,建立了液压支架选型实例库;其次,采用粗糙集理论和序关系分析法进行权重构造;另外,将液压支架的条件属性分为3种类型计算相似度;最后通过匹配实例选型。以某煤矿选型方案为例,并以50组液压支架的属性数据进行验证。结果表明,该方法的准确率为88%,能够为液压支架的智能化选型提供较好的参考依据。

0.25%罗哌卡因用于超声引导颈中间丛阻滞的有效容量探讨

目的探索0.25%罗哌卡因用于超声引导颈中间丛阻滞的半数有效容量和95%有效容量。方法选择29例行择期颈部手术的患者,均在超声引导下进行0.25%罗哌卡因颈中间丛阻滞,若颈丛分支所属皮区痛觉均消失,则视为完全阻滞(完全阻滞组,14例),否则视为不完全阻滞(不完全阻滞组,15例)。记录阻滞效果,分析0.25%罗哌卡因用于超声引导颈中间丛阻滞的有效容量;比较完全阻滞组和不完全阻滞组患者的一般特征、罗哌卡因阻滞容量、并发症发生情况及阻滞前后深吸气膈肌移动度。结果0.25%罗哌卡因用于超声引导颈中间丛阻滞的半数有效容量为10.3 ml[95%可信区间(CI)=(7.7,13.5)ml],95%有效容量为15.6 ml[95%CI=(12.8,44.0)ml]。完全阻滞组和不完全阻滞组年龄、性别、美国麻醉医师协会(ASA)分级、身高、体重及体质量指数(BMI)比较差异无统计学意义(P>0.05)。完全阻滞组用罗哌卡因容量(11.1±2.0)ml显著高于不完全阻滞组的(9.2±2.0)ml,差异有统计学意义(P<0.05)。不完全阻滞组与完全阻滞组阻滞前深吸气膈肌移动度分别为(4.17±0.87)、(4.09±0.85)cm,比较差异无统计学意义(P>0.05);不完全阻滞组与完全阻滞组阻滞后深吸气膈肌移动度分别为(4.09±0.85)、(3.99±0.70)cm,比较差异无统计学意义(P>0.05)。完全阻滞组1例患者发生声音嘶哑,其给药容量为14 ml;其余所有患者均未发生膈神经阻滞、迷走神经阻滞、局部麻醉药物中毒、Horner征或低氧血症等情况。结论0.25%罗哌卡因用于超声引导颈中间丛阻滞的半数有效容量为10.3 ml[95%CI=(7.7,13.5)ml],95%有效容量为15.6 ml[95%CI=(12.8,44.0)ml]。

云南安宁磷矿区水系沉积物磷赋存形态及分布特征

磷污染是水污染的重要组成部分,因其可造成水体富营养化、水质下降,从而引起人们的广泛关注。研究沉积物中不同磷赋存形态及其分布特征有助于了解沉积物中磷的行为特征及迁移能力,从而为水体富营养化防治提供支撑。磷矿的开采、冶炼对矿区内水资源环境可能产生严重影响,本文以安宁磷矿区内河流、水库为研究区域,分析了不同水系沉积物磷元素赋存形态及分布特征,并对其生态风险进行评估。采用X射线荧光光谱法测定研究区水系沉积物总磷(TP)含量,并基于顺序提取及Hupfer改进的磷形态分析方法,将研究区各水系沉积物中磷分为弱吸附态磷(NH4Cl-P)、可还原态磷(BD-P)、金属氧化物结合态磷(NaOH-P)、钙结合态磷(Ca-P)、残渣态磷(Res-P)等5种形态,采用单因子污染指数法对其进行生态风险评估。结果表明:研究区水系沉积物样品中TP含量范围为567.6~48115.5mg/kg,NH4Cl-P含量范围为0.07~115.2mg/kg,BD-P含量范围为8.84~802.5mg/kg,NaOH-P含量范围为21.3~3129.5mg/kg,Ca-P含量范围为12~45098mg/kg,Res-P含量范围为28.5~515.4mg/kg。研究区各水系沉积物样品磷形态具有相似的分布特征,即磷主要以Ca-P和NaOH-P形态存在,其他磷形态的相对含量大小顺序为NH4Cl-P<BD-P<Res-P。单因子污染指数评价结果表明,各水系沉积物中磷以重度污染为主。生物有效磷(BAP)污染评价结果表明,各水系沉积物中磷污染程度有所降低,但河流沉积物中磷仍以重度污染为主,磷释放风险较大,建议加强对磷矿区河流磷污染的监测与评估。