PHASE EXTENSION AND STRUCTURE ANALYSIS BY THE MAXIMUM ENTROPY METHOD

Excellent results are obtained in structure analysis with jew phases of structure factors by the maximum-entropy method (MEM) for CaGaN PbCO3 and ReBe22 single crystals. The computation time and memory space are minimized by symmetry operations so that structure analysis by the MEM can be carried out with a personal computer.

Engineering Geological Zoning of Soft-Soil Foundation Based on Combination Weighting and Extension Methods

Different criteria and factors are used in different methods of soft soil foundation settlement calculation and engineering geological zoning.The methods used are not universally suitable for complex geological environments.The post-construction settlement of soft soil foundations are especially large and difficult to calculate.In addition,there are many deficiencies in the current methods used for engineering geological zoning.Focusing on the need of establishing engineering geological zoning for areas with soft soil foundations in the Tianjin Marine Economic Area,combination weighting and extension methods were introduced.An evaluation model for the settlement of soft soil foundations was established using multiple factors and large amounts of data.This evaluation model is accurate and objective for delineating engineering geological zoning.These methods eliminate deficiencies by considering both objective and subjective factors,and help obtain an objective and accurate result.

The Extension Methods and Fecision-making Analysis on the Planting Dtructure of Dlope Garmland in Northern Shaanxi

Based on the resent research about the planting structure of slope farmland in northern Shaanxi,in order to increase the native's income,we use the theory of the extension methods to analyze the planting structure of slope farmland,so that we can get the extensive strategy,and put them into use for planting of slope farmland to make the native's income higher.

THE ACCELERATED SEARCH-EXTENSION METHOD FOR COMPUTING MULTIPLE SOLUTIONS OF SEMILINEAR PDEs

In this paper, we propose an accelerated search-extension method （ASEM） based on the interpolated coefficient finite element method, the search-extension method （SEM） and the two-grid method to obtain the multiple solutions for semilinear elliptic equations. This strategy is not only successfully implemented to obtain multiple solutions for a class of semilinear elliptic boundary value problems, but also reduces the expensive computation greatly. The numerical results in I-D and 2-D cases will show the efficiency of our approach.

On Relations between the General Recurrence Formula of the Extension of Murase-Newton’s Method (the Extension of Tsuchikura*-Horiguchi’s Method) and Horner’s Method

In 1673, Yoshimasu Murase made a cubic equation to obtain the thickness of a hearth. He introduced two kinds of recurrence formulas of square and the deformation (Ref.[1]). We find that the three formulas lead to the extension of Newton-Raphson’s method and Horner’s method at the same time. This shows originality of Japanese native mathematics (Wasan) in the Edo era (1600- 1867). Suzuki (Ref.[2]) estimates Murase to be a rare mathematician in not only the history of Wasan but also the history of mathematics in the world. Section 1 introduces Murase’s three solutions of the cubic equation of the hearth. Section 2 explains the Horner’s method. We give the generalization of three formulas and the relation between these formulas and Horner’s method. Section 3 gives definitions of Murase-Newton’s method (Tsuchikura-Horiguchi’s method), general recurrence formula of Murase-Newton’s method (Tsuchikura-Horiguchi’s method), and general recurrence formula of the extension of Murase-Newton’s method (the extension of Tsuchikura-Horiguchi’s method) concerning n-degree polynomial equation. Section 4 is contents of the title of this paper.

THE APPLICATION AND EXTENSION OF SACHS METHOD

In this paper,we present the simplification of Sachs formulas for the measurement and calculation of the residual stresses of the cylinder only with the plane stresses. Furthermore, we present the method for the measurement and calculation of the residual stresses of the cylinder not only with the finite length but with the longitudinal stress. These can be applied to the investigation on the residual stresses of the autofretted gun tube.

Comparison of Classical Method, Extension Principle and α-Cuts and Interval Arithmetic Method in Solving System of Fuzzy Linear Equations

The system of linear equations plays a vital role in real life problems such as optimization, economics, and engineering. The parameters of the system of linear equations are modeled by taking the experimental or observation data. So the parameters of the system actually contain uncertainty rather than the crisp one. The uncertainties may be considered in term of interval or fuzzy numbers. In this paper, a detailed study of three solution techniques namely Classical Method, Extension Principle method and α-cuts and interval Arithmetic Method to solve the system of fuzzy linear equations has been done. Appropriate applications are given to illustrate each technique. Then we discuss the comparison of the different methods numerically and graphically.

EXTENSIONS OF SOME INEQUALITIES

By using a simple analytic method the following inequalities are proved:(b x+y -a x+y )/(b x-a x)≥[(x+y)/x][(a+b)/2] y, for 0<a<b,x≥1,y>0,x+y≥2; (b x+y -a x+y )/(b x-a x)<[(x+y)/x][(a+b)/2] y, for 0<a<b,0<x<1,y>0,x+y≤2. These inequalities are the extensions of inequalities of Qi Feng, Xu Senlin and Zheng Lin. And a conjection of Qi Feng is proved not true.

Research on Extension Evaluation of Rural Road Maintenance Quality Based on Game Theory

The importance of rural highway maintenance is self-evident, and it is also a basic work of the highway operation department. Selecting an appropriate evaluation method can timely and accurately find the pavement diseases, and improve the timeliness of pavement repair. To improve the accuracy of pavement quality comprehensive evaluation, based on the game theory, the improved extension evaluation method was combined with subjective and objective weight determination methods in this paper, to propose a comprehensive weight determination method with a good operability. The results show that the improved extension evaluation method provides a feasible scheme for rural highway maintenance quality evaluation

Enhancement of MAD/MIR phasing at low resolution and a new procedure for automatic phase extension

To achieve de novo protein structure determination of challenging cases, multi-wavelength anomalous diffraction(MAD) and multiple isomorphous replacement(MIR) phasing can be powerful tools to obtain low-resolution initial phases from heavy-atom derivative datasets, then phase extension is needed against high-resolution data to obtain accurate structures.In this context, we propose a direct-methods procedure here that could improve the initial low-resolution MAD/MIR phase quality.And accordingly, an automated process for extending initial phases to high resolution is also described.These two procedures are both implanted in the newly released IPCAS pipeline.Three cases are used to perform the test, including one set of 4.17 ? MAD data from a membrane protein and two sets of MAD/MIR data with derivatives truncated down to 6.80 ? and 6.90 ?, respectively.All the results have shown that the initial phases generated from the direct-methods procedure are better than that from the conventional MAD/MIR methods.The automated phase extensions for the latter two cases starting from 6.80 ? to 3.00 ? and 6.90 ? to 2.80 ? are proved to be successful, leading to complete models.This may provide convenient and reliable tools for phase improvement and phase extension in difficult low-resolution tasks.

Study on Extension Strategy-Tactics-Planning

Extension strategy tactics planning (ESTP), based upon the science of Extenics, is established for the purpose of solving contradictory problems. In this paper, the fundamental thoughts, theories and methods of ESTP are introduced concisely. The highlights of ESTP are that the techniques, used in the case of tackling such problems as how to generate the ideas of strategy tactics planning, how to completely analyze the resources, how to exploit extension resources, how to transfer the incompatible into the compati ble, and how to transfer the opposite into the co existent, are developed in a formalized way. And regarding the practices of ESTP, the applications of ESTP in resource integration, project, market development, and the prevention and handling crises are presented.

基于TRIZ与可拓创新方法的机械产品概念设计方法研究

提出一种机械产品概念设计的创新方法,对概念设计阶段进行细分,将发明问题解决理论(TRIZ)与可拓创新方法的优势相结合,建立了基于两者的概念设计过程模型。通过建立用户需求基元模型与共轭分析法,确定产品的需求与功能之间的关联性,构建产品功能分解树,得到根源冲突;然后运用TRIZ工具集提取工程参数查询对应的原理解,通过可拓变换生成多种概念方案;最后利用优度评价法,实现对概念方案的量化评价与优选。以小型管道清淤机器人为例进行系统的创新设计,验证了该方法实用性和有效性。

盾构施工诱发临近桥梁安全风险评价

针对地铁盾构施工诱发临近桥梁安全风险评估结果不完善、存在失真等问题,提出一种基于变权可拓云模型的盾构施工诱发临近桥梁安全风险评价方法。首先,结合以往研究基础和实际工程经验,建立盾构施工诱发临近桥梁安全事故机理模型,进而确定孕险环境、致险因子和承险体3个1级指标,其中包括有岩土层物理性能参数、隧道工程条件、盾构施工条件、盾构施工参数、施工管理风险、桥梁现状及桥梁自身条件7个2级指标和内摩擦角、弹性模量等27个3级指标为依据建立盾构施工诱发临近桥梁安全风险评价指标体系。其次,通过改进CRITIC客观赋权法获取评价指标权重,并采用变权可拓云模型构建盾构施工诱发临近桥梁安全风险评价模型,其中引入变权理论得到使评价结果更加科学合理的变化权重。最后,对某市轨道交通1号线一期工程Ⅱ标段沿线桥梁进行实例分析。研究结果表明,4座盾构施工临近桥梁安全风险等级分别为Ⅲ、Ⅱ、Ⅱ、Ⅰ级。其中,该施工场地各项土体指标、隧道覆跨比、隧道埋深、隧道直径及桥桩与隧道的相对位置等指标风险较大,即该段隧道盾构施工时对于桥梁自身情况及其施工场地环境需要重点监测,并严格做好周围土体加固等各项技术措施。研究结果可为盾构施工诱发临近桥梁安全风险防控提供科学有效的参考依据。

改扩建高速公路桥梁可用性评判与延寿准则

针对高速公路改扩建工程中既有桥梁是否能继续使用问题,综合考虑总体技术状况、承载力状况、剩余耐久年限状况3个层次,创建了以桥梁构件类别的外观耐久状态为一级指标、以剩余耐久年限为二级指标的评判方法,提出了表征构件剩余耐久年限的寿命系数和可用寿命系数,建立了既有桥梁的延寿准则和延寿策略,探讨了可用寿命系数与目标使用年限、单次延寿的有效保护年限、拟采取的维护措施类型数量的相互关系。以京沪高速改扩建工程为研究背景,选取9座既有桥梁为典型桥梁,按100 a目标使用年限,计算得到构件主筋和箍筋的剩余耐久年限,给出了典型桥梁主体构件剩余耐久年限。根据可用评判方法,计算得到了在相同延寿措施下的延寿年限、延寿费用及可用寿命系数,按经济最优原则提出了从A级到E级共计5种延寿方式。研究表明,京沪高速改扩建工程典型桥梁按箍筋计算得到构件耐久寿命比按主筋计算值低,建议构件年限按箍筋计算值取用;目标使用年限为100 a时,主梁构件可正常使用比例为94%,墩柱单元、盖梁单元、桥台单元的可正常使用比例分别为67%,11%,44%。实际工程表明,采用该评判方法的评判结果与结构实际状态基本相符,与工程实际采取的处置措施基本相当,验证了该方法的合理性。

基于可拓云理论的化工建筑施工安全风险评估

引入可拓云理论构建了化工建筑施工安全风险评估模型,在该模型内,最优最劣法和CRITIC法分别用于计算主客观权重值。研究应用博弈论确定组合赋权权重值,以消除主客观权重法之间的误差。最后,计算可拓云模型内模糊等级特征期望值Erq、模糊等级特征熵值Ers、综合评判向量B和置信度因子g等参数。结果表明:该化工项目施工安全综合风险等级为中等,模糊等级特征期望值Erq为2.952 8,模糊等级特征熵值Ers为0.016 5,置信度因子g为0.005 6,符合一致性要求,结果可信。研究结果为现场安全管理人员提供参考。

航空公司安全韧性评价模型

为科学量化航空公司应对风险冲击与扰动,保持安全运行水平稳定的能力,将“安全韧性”概念引入航空公司安全管理,构建航空公司安全韧性评价模型。基于交通运输领域对韧性内涵的理解,提出航空公司安全韧性概念曲线,明确了航空公司安全韧性包括风险应对能力和安全运行恢复能力两方面。运用文献计量法和专家访谈法建立了航空公司安全韧性评价指标体系。运用序关系分析法和物元可拓理论构建了航空公司安全韧性评价模型。运用该模型对A航空公司进行评价,结果表明,A航空公司安全韧性等级为五级,处于优秀水平,与公司现阶段实际情况基本相符。

首都国际机场陆侧交通运行状态的评价研究

随着民航客流量的快速增长,机场陆侧交通运行状态已成为制约机场功能有效发挥的瓶颈。为了更高效合理地评估机场陆侧交通运行状态,在考虑评价过程中不确定性、主观随意性和客观失真性对评价结果影响的前提下,提出一种基于组合权重和可拓云模型的新评价方法;以首都国际机场四纬路的实地调研交通数据为例,对机场陆侧交通运行状态进行了综合评价并确定其综合评价等级。研究结果表明:新方法在机场陆侧交通运行状态评价中具有较好的可行性和适用性;评价结果在一定程度上能反映出机场陆侧交通的实际运行状态。

基于物元可拓模型的工商管理类专业人才胜任力评价研究

结合工商管理类专业人才胜任力的特点,首先从个人能力、通用能力、专业能力和发展能力四个方面建立工商管理类专业人才胜任力评价指标体系,并运用AHP-熵值法确定各指标的组合权重,接着利用物元可拓理论构建工商管理类专业人才胜任力评价模型,最后对湖南财政经济学院工商管理类专业人才胜任力进行综合评价。

基于物元可拓法的住宅工程质量潜在缺陷保险费率厘定研究

以住宅工程为研究对象,分析影响IDI费率的因素,将其分为项目与保险自身特性、参与方综合能力和工程建设各阶段质量潜在缺陷风险三方面,并据此建立了三级57个指标的评价体系,采用G1-CVA-MIE法计算指标权重,运用物元可拓法对指标划分等级。根据评价结果确定基本费率和调整系数,确定二者之积的值即为纯保险费率。通过案例验证了模型的可行性,并对投保人、承保人和政府提出建议,以期为我国IDI费率厘定提供新的思路框架。

面向农机产品服务供应链采购模式匹配评价

随着制造业数字化转型和农机产品服务供应链的应用,突显出农机制造企业产品零部件采购模式,在选择匹配过程中存在主观性与模糊性的问题,提出一种基于物元可拓优度结合可拓层次分析法和CRITIC综合赋权法的采购模式匹配评价方法。从农机制造企业产品自身特征和产品服务供应链影响因素为切入点,构建产品服务供应链视角下的农机制造装备采购模式匹配评价体系,并通过关联函数计算,得到采购模式综合优度排序和单项指标的关联度对比,输出最优采购匹配模式和模式识别度。结果表明,最优采购模式匹配度为0.118,所对应的模式可以作为产供销阶段的核心采购模式。实例计算表明,建立的评价模型与企业匹配度很高,该方法将定性预测和定量决策结合起来,可以为农机制造企业的产品采购模式提供系统科学的匹配工具。