Development and Application of a Power Law Constitutive Model for Eddy Current Dampers

Eddy current dampers (ECDs) have emerged as highly desirable solutions for vibration control due to theirexceptional damping performance and durability. However, the existing constitutive models present challenges tothe widespread implementation of ECD technology, and there is limited availability of finite element analysis (FEA)software capable of accurately modeling the behavior of ECDs. This study addresses these issues by developing anewconstitutivemodel that is both easily understandable and user-friendly for FEAsoftware. By utilizing numericalresults obtained from electromagnetic FEA, a novel power law constitutive model is proposed to capture thenonlinear behavior of ECDs. The effectiveness of the power law constitutive model is validated throughmechanicalproperty tests and numerical seismic analysis. Furthermore, a detailed description of the application process ofthe power law constitutive model in ANSYS FEA software is provided. To facilitate the preliminary design ofECDs, an analytical derivation of energy dissipation and parameter optimization for ECDs under harmonicmotionis performed. The results demonstrate that the power law constitutive model serves as a viable alternative forconducting dynamic analysis using FEA and optimizing parameters for ECDs.

A LAW OF ITERATED LOGARITHM FOR THE MLE IN A RANDOM CENSORING MODEL WITH INCOMPLETE INFORMATION

In this article, a law of iterated logarithm for the maximum likelihood estimator in a random censoring model with incomplete information under certain regular conditions is obtained.

Mathematical model and general laws of wet compression

Wet compression is an effective way to enhance the performance of gas turbines and it has attracted a good deal of attention in recent years. The one sidedness and inaccuracy of previous studies,which took concentration gradient as mass transfer potential are discussed. The mass transfer process is analyzed from the viewpoint of non equilibrium thermodynamics,by taking generalized thermodynamic driving force as mass transfer potential,and the corresponding mass transfer coefficient is obtained using the heat and mass transfer equilibrium occurring between moist air and water droplets at wet bulb temperature for the sake of avoiding complex tests and providing more accurate formulas. A mathematical model of wet compression is therefore established,and the general laws of wet compression are investigated. The results show that the performance of atomizer is critical for wet compression and wet compression is more suitable for compressors with higher pressure ratio and longer compression time.

Noether's theorem for non-conservative Hamilton system based on El-Nabulsi dynamical model extended by periodic laws

This paper focuses on the Noether symmetries and the conserved quantities for both holonomic and nonholonomic systems based on a new non-conservative dynamical model introduced by E1-Nabulsi. First, the E1-Nabulsi dynamical model which is based on a fractional integral extended by periodic laws is introduced, and E1-Nabulsi-Hamilton＇s canoni- cal equations for non-conservative Hamilton system with holonomic or nonholonomic constraints are established. Second, the definitions and criteria of E1-Nabulsi-Noether symmetrical transformations and quasi-symmetrical transformations are presented in terms of the invariance of E1-Nabulsi-Hamilton action under the infinitesimal transformations of the group. Fi- nally, Noether＇s theorems for the non-conservative Hamilton system under the E1-Nabulsi dynamical system are established, which reveal the relationship between the Noether symmetry and the conserved quantity of the system.

The Macromarket Law and Development Models of Wool and Cotton Industries

According to the macromarket law, the total supply will go to equilibrium with the total demand for the world as a whole. Textiles are consumables, the total demand of which must be proportional to the population. For any large district, the share ratio - the ratio of the local productivity world share to the local population world share,will approach unity in long term period. The uncommon prosperity of the textile industry in the developed countries before the Second World War had been established by super economical means of the old era. The developing countries nowadays have no such means, and will never be able to establish the local textile Industry to an uncommon large scale. The development model of the textile industry must be in four stages: the first two are common both for the developed and for the developing countries, namely demand leading - supply leading. The third stage is quite different: uncommon expansion followed by significant declination, for the developed, and the re -

Exact Solutions of a Power Law Fluid Model in Posttreatment Analysis of Wire Coating with Linearly Varying Boundary Temperature

In this paper, analysis of post-treatment of wire coating is presented. Coating material satisfies power law fluid model. Exact solutions for the velocity field, volume flow rate and average velocity are obtained. Moreover, the heat transfer results are presented for different cases of linearly varying on the boundaries. The variations of velocity, volume flow rate, radius of coated wire, shear rate and the force on the total wire are presented graphically and discussed.

Establishmen and vertification of an improved similitude law for dynamic ice force model test

To study the similitude laws for dynamic ice force model test which is a hot problem in ice mechanics.In this paper,a new modified similitude law for dynamic ice force model test is proposed based on ice-induced virbration theory and two reasonable assumptions.And the new law is vertified with an ice-induced pier virbration example.The numerical calculation results show that,firstly,the error of frequency factor between test value and theory value is small as well as that of displacement and velocity;Secondly,the time scale completely meet the similitude relation,the waveforms anastomotic well,and the phenomenon of offset and omit do not occur;Thirdly,as the damping ratio between prototype and model is nearly equal,the improved similitude law will still be applied.Therefore,the new modified similitude law is feasible to study dynamic ice force model test and can provide reference for the ice mechanics.

Establishment of Unstable Flow Model and Well Testing Analysis for Viscoelastic Polymer Flooding

At present, the polymer solution is usually assumed to be Newtonian fluid or pseudoplastic fluid, and its elasticity is not considered on the study of polymer flooding well testing model. A large number of experiments have shown that polymer solutions have viscoelasticity, and disregarding the elasticity will cause certain errors in the analysis of polymer solution seepage law. Based on the percolation theory, this paper describes the polymer flooding mechanism from the two aspects of viscous effect and elastic effect, the mathematical model of oil water two-phase three components unsteady flow in viscoelastic polymer flooding was established, and solved by finite difference method, and the well-test curve was drawn to analyze the rule of well test curve in polymer flooding. The results show that, the degree of upward warping in the radial flow section of the pressure recovery curve when considering polymer elasticity is greater than the curve which not considering polymer elasticity. The relaxation time, power-law index, polymer injection concentration mainly affect the radial flow stage of the well testing curve. The relaxation time, power-law index, polymer injection concentration and other polymer flooding parameters mainly affect the radial flow stage of the well testing curve. The larger the polymer flooding parameters, the greater the degree of upwarping of the radial flow derivative curve. This model has important reference significance for well-testing research in polymer flooding oilfields.

Francis Turbine and Governor Improved Models Considering Step Closing Law of Guide Vanes for Power System Stability Analysis

The Francis turbine governing system models in PSD-BPA can’t precisely reflect the actual characteristics. Endeavor was done in this paper to solve the problem. An improved model of actuating mechanism was developed, which could reflect the step closing characteristic of hydro guide vanes. The effect of the inflection point value of actuating mechanism on load rejection was analyzed based on simulation. The non-linear Francis turbine model with power versus gate position module was researched in this paper. Based on field test, comparisons of simulation results with measured data were presented. The analysis demonstrates that the improved models of Francis turbine and governor proposed in this paper are more realistic than the models of BPA, and can be applied in power system simulation analysis better.

Simplified Wave Models Applicability to Shallow Mud Flows Modeled as Power-Law Fluids

Simplified wave models- such as kinematic,diffusion and quasi-steady- are widely employed as a convenient replacement of the full dynamic one in the analysis of unsteady open-channel flows,and especially for flood routing.While their use may guarantee a significant reduction of the computational effort,it is mandatory to define the conditions in which they may be confidently applied.The present paper investigates the applicability conditions of the kinematic,diffusion and quasisteady dynamic shallow wave models for mud flows of power-law fluids.The power-law model describes in an adequate and convenient way fluids that at low shear rates fluids do not posses yield stress,such as clay or kaolin suspensions,which are frequently encountered in Chinese rivers.In the framework of a linear analysis,the propagation characteristics of a periodic perturbation of an initial steady uniform flow predicted by the simplified models are compared with those of the full dynamic one.Based on this comparison,applicability criteria for the different wave approximations for mud flood of power-law fluids are derived.The presented results provide guidelines for selecting the appropriate approximation for a given flow problem,and therefore they may represent a useful tool for engineering predictions.

《仲裁法》如何更加国际化——基于《仲裁法(修订)(征求意见稿)》主要条款的考察

《仲裁法(修订)(征求意见稿)》通过大幅修订,力求促进我国仲裁制度的进一步国际化发展。以《示范法》和《纽约公约》为国际化对标标准,《仲裁法(修订)(征求意见稿)》在仲裁庭权力和仲裁裁决的司法审查、临时仲裁、法院协助取证等方面基本符合国际标准,但应进一步细化具体措施的实施标准和配套规则,以期为仲裁实践提供更为清晰的指引。此外,此次修订在仲裁机构法律地位、仲裁员任职资格与责任等方面还未达到国际化标准,可以进一步提升意思自治程度,深化仲裁机构改革、引入仲裁员责任有限豁免制度。

The Evolutive Law concerning Relationship between Economic Growth and Farmers' Income Increase in Xinjiang since the Reform and Opening-up:An Empirical Analysis of the VEC Model

We select the per capita gross domestic product and rural residents' per capita net income in Xinjiang as the indicator variables to measure economic growth and farmers' income increase in Xinjiang, respectively. We establish the cointegration equation, the vector error correction (VEC) model, and use the impulse response function to conduct empirical analysis of the evolutive law concerning relationship between economic growth and farmers' income increase in Xinjiang during the period 1978-2010. The results show that there is a cointegration relationship between economic growth in Xinjiang and farmers' income increase; the former plays an important role in promoting the latter, following the evolutive law "first intensify, then abate, intensify again, and finally become stable". We put the following policy recommendations: providing preferential policies for farmers, scientifically and rationally guiding the transfer of rural labor; improving the function of agriculture, increasing the proportion of non-farm income; gradually bridging the widening income gap between urban and rural areas, coordinating urban and rural development.

大模型时代我国人工智能法学理论体系的构建

在大模型时代,人工智能法学及其理论体系迅速发展,逐渐形成独特的学科分支。新兴的人工智能法学不仅重构了传统的法学研究对象,也带来了创新的研究方法,同时提出了与众不同的正义观念。这些理论的形成和发展,与大型人工智能模型(如ChatGPT)的出现密不可分,后者在推动理论更新、促进法治实践全面提升方面发挥了巨大作用。中国在建设自身的人工智能法学理论体系过程中,得益于已有的法学理论基础和人工智能产业的蓬勃发展,然而,研究水平的不均和学科间壁垒的存在,成为建设中的难题。未来的工作需要将基本概念、框架建设以及多维、动态、可进化的理论体系的构建作为重点。技术的进步将不断推动法学理论的演变。从弱人工智能到强人工智能的转变为法学理论的发展带来了挑战和机遇。在这个过程中,确保人类价值观、权利和安全是至关重要的。构建人工智能法学理论体系,需要避免技术的潜在恶意应用,同时引导它向善。这不仅是一个学术上的努力,更是社会对于法律新概念和实践的重塑。这一工作涉及多学科合作,需要全球共识的形成和实践的更新,对法治的未来和法律体系的完善将产生长远的影响。

论横琴粤澳深度合作区规则衔接的示范法路径:以合同法为例

从粤港澳大湾区到横琴粤澳深度合作区,在“一国两制”原则下构建统一营商环境的过程中,民商事法律制度及规则的衔接已经成为区域经济一体化发展的现实需求和必然趋势。在践行法律衔接的过程中,除了灵活使用冲突法规则、加强跨境司法合作等方式外,通过起草示范法来推进不同法域间民商事规则的趋同对国家区域法治的发展具有长远的意义。本文以合同法领域为例,通过梳理、比较及归纳内地与澳门特别行政区法律制度中的“同类项”,探索通过示范法路径实现琴澳民商事规则衔接的可能性。

基于Amdahl定律的异构多核密码处理器能效模型研究

边缘计算安全的资源受限特征及各种新型密码技术的应用,对多核密码处理器的高能效、异构性提出需求,但当前尚缺乏相关的异构多核能效模型研究.本文基于扩展Amdahl定律,引入密码串并特征、异构多核结构、数据准备时间、动态电压频率调节等因素,将核划分空闲、活跃状态,建立异构多核密码处理器的能效模型.MATLAB仿真结果表明,数据准备时间占比小于10%时,对能效的负面影响大幅下降;固定电压,频率缩放会影响能效值大小;处理器核空闲/活跃能耗比例越小,能效值越大.架构上,固定异构核,同构核数量与密码任务最大并行度相等时能效值最大,最佳异构核数可由模型变化参数仿真得到;多任务调度执行上,流水与并发执行有利于能效值的进一步提升.多核密码处理器芯片板级测试结果表明,仿真结果与实测数据相关系数接近1,芯片实测的数据准备时间、电压频率缩放等因素的影响与仿真分析基本一致,验证了所提能效模型的有效性.该文重点从影响能效变化趋势因素上,为多核密码处理器异构、高能效设计提供一定的理论分析基础与建议.

库区浮泥层纵向流速垂线分布特性研究

水库浮泥是存在于水库底部的一层高含沙水体,流动性较强,直接影响水库淤积形态和水库排沙,研究其运动规律对水库减淤优化调度具有重要意义。根据三峡库区实测泥沙矿物组成和级配资料,配置沙样进行流变试验,以幂律流变模型描述浮泥的本构关系。构建了浮泥运动的速度分布理论模型,通过水槽试验对模型进行了验证,计算结果与试验结果吻合较好。结果表明,浮泥运动速度随浮泥厚度、上层水流流速、床面坡度增大而增大,随浮泥密度增大而减少。沿水深方向浮泥纵向流速分布始终呈抛物线型,表层的浮泥流速要远大于底层浮泥,浮泥纵向流速沿垂向方向不断减少,最底部的浮泥几乎处于静止状态。

黏弹性纳米流体在垂直板上的自然对流与传热分析

基于分数阶Maxwell模型和分数阶Fourier定律构建黏弹性纳米流体在垂直板上的非定常二维边界层自然对流与传热控制方程,利用有限差分和L1算法获得数值稳定解,对不同物理参数下的速度、温度、平均表面摩擦系数和平均Nusselt数的变化趋势进行图形化分析。结果显示,速度和温度边界层均表现出短暂记忆和延迟特性;速度分数导数参数削弱了自然对流,而速度松弛时间的影响却相反;温度分数导数参数削弱了自然对流和热传导,而温度松弛时间的影响却相反。

煤岩介质对水压裂隙扩展的影响机理

为研究不同煤岩介质压裂条件下水压钻孔裂隙起裂压力、起裂位置的变化规律,通过梳理现有理论,对连续介质弹性理论和非连续介质断裂理论2种经典模型进行比较。以王家岭煤矿等9个矿井为研究对象,针对不同介质岩石钻孔的压裂条件,开展室内试验并对结果进行比较,采用比较分析法进一步研究围岩压力、抗压强度对裂隙起裂压力、起裂位置的影响规律。结果表明:不同应力环境中,侧压系数越大,2种介质岩石钻孔开裂所需的起裂压力越大,相差越大,差值(2种压力差与连续介质岩石起裂压力的比值)越小,当侧压系数大于2时,差值无限接近于0;不同介质岩石的抗压强度具有差异性,抗压强度越大,2种介质岩石钻孔起裂压力越大;连续介质理论中起裂位置与围岩压力、抗压强度呈正相关,非连续介质理论中起裂位置始终沿水平应力方向。岩石介质对水压裂隙扩展规律的影响,可以为理论模型的优选提供参考,同时有助于裂隙起裂扩展行为预测。

洞桩法地铁车站边桩结构受力机制的模型试验设计

为了方便学生更形象地理解洞桩法地铁车站边桩结构的受力机制,该文以广州地区某洞桩法地铁车站工程为依托,设计了一种简化的洞桩法车站边桩结构模型试验。基于该试验方法,演示分析了边桩结构在洞桩法车站开挖过程中的施工力学行为规律,并对比研究了不同桩型布置参数下的桩后土压力、边桩结构的力学和变形规律。通过该试验,为学生展示了洞桩法边桩结构模型的设计、制作、试验具体操作及数据监测的全过程,从而让学生更好地掌握洞桩法车站边桩结构力学行为演变规律,以及采用不同边桩布置型式的力学行为差异。

基于博弈论的弹目攻防决策方法研究

针对空战环境中弹目攻防双方的对抗特性,提出了一种基于博弈论的弹目攻防决策方法。基于导弹目标运动数学关系得到状态方程,根据弹目攻防对抗机理建立“一对一导弹-目标”动态博弈模型,确定弹目双方策略集与收益矩阵,提出混合策略纳什均衡求解方法,并结合模型滚动预测方法获得该策略空间的纳什均衡点。算例仿真结果表明,基于混合策略下导弹制导律为该策略空间的纳什均衡点,且该方法可以减小导弹对目标的脱靶量,提高导弹的命中精度,为导弹攻防作战提供了依据。