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一类线性不确定时滞系统奇异摄动界 被引量:3
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作者 鲁照权 韩江洪 陆阳 《中国科学技术大学学报》 CAS CSCD 北大核心 2002年第6期707-712,共6页
研究了一类常见的奇异摄动时滞不确定线性系统的鲁棒稳定性问题 ,获得了参数H∞ 范数有界摄动时 ,系统时滞有关稳定的充分条件 .给出了系统稳定时 ,时滞τ及奇异摄动参数ε的上界 .
关键词 线性不确定时滞系统 动界 奇异摄 参数摄 鲁棒稳定性 矩阵
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区域极点配置控制系统的鲁棒摄动界 被引量:2
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作者 袁廷奇 刘文江 《西安交通大学学报》 EI CAS CSCD 北大核心 2000年第7期99-102,共4页
针对各种不确定扰动和模型失配对实际控制系统稳定性的影响 ,给出了保证线性二次 (LQ)反馈控制系统稳定的最大容许摄动界 .在此基础上 ,通过双线性变换的线性摄动关系 ,得出了保证区域极点配置LQ反馈控制系统稳定的不确定最大摄动界 .最... 针对各种不确定扰动和模型失配对实际控制系统稳定性的影响 ,给出了保证线性二次 (LQ)反馈控制系统稳定的最大容许摄动界 .在此基础上 ,通过双线性变换的线性摄动关系 ,得出了保证区域极点配置LQ反馈控制系统稳定的不确定最大摄动界 .最后 ,通过计算实例说明了确定鲁棒摄动界的过程 . 展开更多
关键词 最优控制 极点配置 动界 鲁棒稳定性 控制系统
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基于积分二次约束混合摄动系统的摄动界
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作者 董海荣 耿志勇 +1 位作者 王金枝 黄琳 《应用数学和力学》 EI CSCD 北大核心 2002年第11期1133-1140,共8页
 讨论正向通道为线性不确定系统,反馈通道为非线性动态不确定系统组成的不确定混合摄动系统的摄动界问题· 假定其线性部分的参数不确定由区间摄动模式描述,非线性部分的动态不确定由积分二次约束(IQC)描述· 用Minkowski泛...  讨论正向通道为线性不确定系统,反馈通道为非线性动态不确定系统组成的不确定混合摄动系统的摄动界问题· 假定其线性部分的参数不确定由区间摄动模式描述,非线性部分的动态不确定由积分二次约束(IQC)描述· 用Minkowski泛函出给出区间摄动模式下的摄动界的定义。 展开更多
关键词 混合摄系统 动界 积分二次约束 参数不确定 稳定检验 鲁棒控制
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一类混合不确定性系统的摄动界估计问题(英文)
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作者 董海荣 耿志勇 +1 位作者 王金枝 黄琳 《北京大学学报(自然科学版)》 CAS CSCD 北大核心 2002年第5期661-668,共8页
研究了混合摄动模式下反馈系统鲁棒稳定的摄动界。系统的正向通道为带有参数不确定性的线性系统 ,其不确定性为区间摄动模式 ,反馈通道为由积分二次约束给出的输入输出不确定性加以描述。用Minkowski泛函给出区间摄动模式下的摄动界的定... 研究了混合摄动模式下反馈系统鲁棒稳定的摄动界。系统的正向通道为带有参数不确定性的线性系统 ,其不确定性为区间摄动模式 ,反馈通道为由积分二次约束给出的输入输出不确定性加以描述。用Minkowski泛函给出区间摄动模式下的摄动界的定义 ,并给出参数空间中混合摄动模式下系统摄动界的估计式。在一些典型摄动模式下给出这类混合摄动系统的摄动界的有限检验结果。 展开更多
关键词 混合不确定性系统 动界估计 混合摄 积分二次约束 参数不确定 稳定检验 线性系统
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确定鲁棒稳定多项式摄动界的根轨迹方法
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作者 袁廷奇 田晓皋 刘文江 《系统工程与电子技术》 EI CSCD 2000年第5期46-48,共3页
确定稳定多项式的摄动界是系统鲁棒性研究的重要方法之一 ,通常使用代数方法来求解[1,2 ] 。对稳定多项式的摄动界给出了用根轨迹来确定的方法 ,避免了代数求解过程中复杂的约束条件 。
关键词 多项式 稳定性 系统鲁棒性 动界
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不变根分布的多项式的最大摄动界
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作者 赵克友 郭磊 《自动化学报》 EI CSCD 北大核心 1995年第4期385-391,共7页
已知不确定的特征多项式p(s,q),其系数依赖于参数向量q,一个富有意义的问题是:可以允许q摄动多大而使摄动后的多项式仍保持标称多项式p(s,0)所具有的惯性(亦称根分布)数?这就是所谓不变根分布的多项式的最大摄动界... 已知不确定的特征多项式p(s,q),其系数依赖于参数向量q,一个富有意义的问题是:可以允许q摄动多大而使摄动后的多项式仍保持标称多项式p(s,0)所具有的惯性(亦称根分布)数?这就是所谓不变根分布的多项式的最大摄动界问题.本文将就仿射线性及仿射双线性两情况给出上述问题的解答与算法. 展开更多
关键词 多项式 最大摄动界 特征多项式
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基于鲁棒稳定多项式摄动界理论的发电机线性反馈控制器综合分析
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作者 车延博 王成山 《电力系统自动化》 EI CSCD 北大核心 2001年第7期10-13,63,共5页
利用鲁棒稳定多项式单向摄动界的有关成果 ,解决了系统增益确定问题和 D域鲁棒稳定性分析问题。在改进发电机综合线性反馈控制器设计方案的同时 ,指出了参数的鲁棒稳定摄动范围。实例计算表明 ,单向摄动界法较劳斯判据法更为快速、精确。
关键词 电力系统 鲁棒稳定性 多项式 线性反馈控制器 动界理论 发电机
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一类不确定区间系统最大摄动界的有限判别方法
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作者 兰轶东 王龙 张霖 《北京大学学报(自然科学版)》 CAS CSCD 北大核心 2004年第1期29-36,共8页
线性区间系统Hurwitz稳定时系数的最大摄动界 ,利用半保护映射可以经过有限判别求得。含有两个区间参数的多线性区间系统Hurwitz稳定时系数的最大摄动界 ,同时利用半保护映射和多项式完全判别系统 ,也可以通过有限判别求得。给出的两个... 线性区间系统Hurwitz稳定时系数的最大摄动界 ,利用半保护映射可以经过有限判别求得。含有两个区间参数的多线性区间系统Hurwitz稳定时系数的最大摄动界 ,同时利用半保护映射和多项式完全判别系统 ,也可以通过有限判别求得。给出的两个算例说明了方法的有效性。对于含有任意多个区间参数的多线性区间系统 ,也给出了其系数的最大摄动界的有限判别方法。 展开更多
关键词 半保护映射 多项式完全判别系统 线性区间系统 最大摄动界
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基于速度障碍法的船舶动态避碰方法
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作者 丁世淦 郑茂 +1 位作者 祝添权 初秀民 《船海工程》 北大核心 2025年第4期102-108,114,共8页
为解决传统速度障碍法在船舶动态避碰中碰撞区域划分不灵活,难以确定避碰时机等问题,在速度障碍法的基础上引入船舶领域、动界,建立满足船舶运动特征的动态领域划分机制和避碰时机确定机制,优化船舶避碰路径,避免船舶因避碰时机不当所... 为解决传统速度障碍法在船舶动态避碰中碰撞区域划分不灵活,难以确定避碰时机等问题,在速度障碍法的基础上引入船舶领域、动界,建立满足船舶运动特征的动态领域划分机制和避碰时机确定机制,优化船舶避碰路径,避免船舶因避碰时机不当所引起的偏航、碰撞问题。将《1972年国际海上避碰规则》作为路径规划的约束条件,通过仿真和缩比自航船模试验开展路径规划试验,结果表明,在不同场景下,仿真及缩比模型试验均能实现可靠避碰,验证了该方法在船舶动态避碰中的可行性。 展开更多
关键词 速度障碍法 船舶领域 动界 1972年国际海上避碰规则
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基于改进模糊评价法的无人艇碰撞风险计算
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作者 赵贵祥 王晨旭 +1 位作者 周健 李云淼 《系统工程与电子技术》 EI CSCD 北大核心 2024年第3期1031-1037,共7页
为了解决传统模糊评价模型在船舶风险评估中多仅适用远距离场景,以及缺乏考虑《国际海上避碰规则》(International Regulations for Collision Avoidance at Sea,COLREGs)等问题,提出一种改进的模糊评价法,用于计算水面无人艇(unmanned ... 为了解决传统模糊评价模型在船舶风险评估中多仅适用远距离场景,以及缺乏考虑《国际海上避碰规则》(International Regulations for Collision Avoidance at Sea,COLREGs)等问题,提出一种改进的模糊评价法,用于计算水面无人艇(unmanned surface vessel,USV)的碰撞危险度。该方法采用四元船舶领域确定模型中的安全距离,并通过行动域模型明确模型中碰撞威胁距离。同时,将两船是否构成紧迫危险局面引入到碰撞危险度的计算中。实验结果表明,改进后的方法能够适用于近距离水域的USV碰撞危险度计算,同时满足COLREGs的要求和航海避碰实际情况。 展开更多
关键词 碰撞危险度 模糊评价 水面无人艇 船舶领域 动界
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大包线飞控系统的鲁棒稳定性分析及鲁棒镇定控制
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作者 闫亚宾 曾建平 《厦门大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第6期984-988,共5页
采用摄动参数多项式加范数有界摄动形式描述大包线飞控系统,既考虑了飞控系统的时变特征,又考虑了拟合误差带来的不确定性.基于二次稳定的概念和方法,研究了大包线飞控系统的鲁棒稳定性分析和鲁棒控制综合问题.运用线性矩阵不等式(LMI)... 采用摄动参数多项式加范数有界摄动形式描述大包线飞控系统,既考虑了飞控系统的时变特征,又考虑了拟合误差带来的不确定性.基于二次稳定的概念和方法,研究了大包线飞控系统的鲁棒稳定性分析和鲁棒控制综合问题.运用线性矩阵不等式(LMI)的处理方法,给出了系统二次稳定性判据,以及状态反馈控制律的设计方法.同时,基于凸优化,得到了估计系统保持鲁棒稳定所允许的参数最大摄动范围的方法,建立了系统运行参数与系统性能之间的联系.通过对飞控系统的实例仿真,验证了该方法的可行性. 展开更多
关键词 参数不确定性 鲁棒镇定 参数摄动界 飞控系统
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与同学书──论读书卫生之道 被引量:1
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作者 许广平 《鲁迅研究月刊》 CSSCI 1995年第3期35-36,共2页
与同学书──论读书卫生之道一年级许广平地球公转,周而复始者数矣,折柳桥头,距今亦云久矣。春光无恙百花开,共萃之芳,小鸟有知数声唤归去之,调物犹如此,人何以堪况与君等,同立雪于程门,闻诗闻礼,共切磋于窗下,交劝交规,喧... 与同学书──论读书卫生之道一年级许广平地球公转,周而复始者数矣,折柳桥头,距今亦云久矣。春光无恙百花开,共萃之芳,小鸟有知数声唤归去之,调物犹如此,人何以堪况与君等,同立雪于程门,闻诗闻礼,共切磋于窗下,交劝交规,喧虽朋侪,亲如手足,正斯倾盖方殷,岂... 展开更多
关键词 地球公转 弱系 周而复 许广平 一年级 商丛 江淹 共萃 闻诗 动界
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Characteristics of unsteady flow in porous media while considering threshold pressure gradient with Green's function 被引量:2
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作者 曹仁义 陈岭 +2 位作者 Y.Zee Ma 刘雪莹 于柏慧 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第1期201-208,共8页
The flow behavior in porous media with threshold pressure gradient(TPG) is more complex than Darcy flow and the equations of motion, and outer boundary and inner boundary with TPG are also different from Darcy flow fo... The flow behavior in porous media with threshold pressure gradient(TPG) is more complex than Darcy flow and the equations of motion, and outer boundary and inner boundary with TPG are also different from Darcy flow for unsteady flow of a producing well in a reservoir. An analytic method to solve this kind of problem is in a need of reestablishment. The classical method of Green's function and Newman product principle in a new way are used to solve the unsteady state flow problems of various shapes of well and reservoir while considering the TPG. Four Green's functions of point, line, band and circle while considering the TPG are achieved. Then, two well models of vertical well and horizontal well are built and simultaneously the function to calculate the moving boundary of each well model is provided. The results show that when considering TPG the pressure field is much different, which has a sudden pressure change, with a moving boundary in it. And the moving boundary of each well model increases with time but slows down rapidly, especially when the TGP is large. 展开更多
关键词 non-Darcy flow Green's function moving boundary threshold pressure gradient (TPG)
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Scattering wave field around a cavity with circular cross-section embedded in saturated soil using boundary element method 被引量:3
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作者 张鸿 高谦 徐斌 《Journal of Central South University》 SCIE EI CAS 2013年第11期3296-3304,共9页
Based on Biot’s theory and considering the properties of a cavity,the boundary integral equations for the numerical simulation of wave scattering around a cavity with a circular cross-section embedded in saturated so... Based on Biot’s theory and considering the properties of a cavity,the boundary integral equations for the numerical simulation of wave scattering around a cavity with a circular cross-section embedded in saturated soil are obtained using integral transform methods.The Cauchy type singularity of the boundary integral equation is discussed.The effectiveness of the properties of soil mass and incident field on the dynamic stress concentration and pore pressure concentration around a cavity is analyzed.Our results are in good agreement with the existing solution.The numerical results of this work show that the dynamic stress concentration and pore pressure concentration are influenced by the degree of fluid–solid coupling as well as the pore compressibility and water permeability of saturated soil.With increased degree of fluid–solid coupling,the dynamic stress concentration improves from 1.87 to 3.42 and the scattering becomes more significant.With decreased index of soil mass compressibility,the dynamic stress concentration increases and its maximum reaches 3.67.The dynamic stress concentration increases from 1.64 to 3.49 and pore pressure concentration improves from 0.18 to 0.46 with decreased water permeability of saturated soil. 展开更多
关键词 saturated soil boundary integral equations wave scattering dynamic stress concentration Green's function
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A nanofluid MHD flow with heat and mass transfers over a sheet by nonlinear boundary conditions: Heat and mass transfers enhancement 被引量:2
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作者 Vahid FARHANGMEHR Hesam MOGHADASI Sasan ASIAEI 《Journal of Central South University》 SCIE EI CAS CSCD 2019年第5期1205-1217,共13页
In this paper,we have numerically examined the steady boundary layer of a viscous incompressible nanofluid and its heat and mass transfers above a horizontal flat sheet.The boundary conditions considered were a nonlin... In this paper,we have numerically examined the steady boundary layer of a viscous incompressible nanofluid and its heat and mass transfers above a horizontal flat sheet.The boundary conditions considered were a nonlinear magnetic field,a nonlinear velocity and convection.Such nonlinearity in hydrodynamic and heat transfer boundary conditions and also in the magnetic field has not been addressed with the great details in the literature.In this investigation,both the Brownian motion and thermophoretic diffusion have been considered.A similarity solution is achieved and the resulting ordinary differential equations (nonlinear) are worked numerically out.Upon validation,the following hydrodynamic and heat and mass transfers parameters were found:the reduced Sherwood and Nusselt numbers,the reduced skin friction coefficient,and the temperature and nanoparticle volume fraction profiles.All these parameters are found affected by the Lewis,Biot and Prandtl numbers,the stretching,thermophoretic diffusion,Brownian motion and magnetic parameters.The detailed trends observed in this paper are carefully analyzed to provide useful design suggestions. 展开更多
关键词 NANOFLUID stretching sheet magnetic field thermophoretic diffusion Brownian motion convective boundary condition
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Quantitative analysis on influencing factors for interface propagation-based thermal conductivity measurement method during solid-liquid transition 被引量:1
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作者 ZHOU Tian MA Xiao-yi +1 位作者 LIU Xu LI Yuan 《Journal of Central South University》 SCIE EI CAS CSCD 2019年第8期2041-2055,共15页
The recently proposed interface propagation-based method has shown its advantages in obtaining the thermal conductivity of phase change materials during solid-liquid transition over conventional techniques. However, i... The recently proposed interface propagation-based method has shown its advantages in obtaining the thermal conductivity of phase change materials during solid-liquid transition over conventional techniques. However, in previous investigation, the analysis on the measurement error was qualitative and only focused on the total effects on the measurement without decoupling the influencing factors. This paper discusses the effects of influencing factors on the measurement results for the interface propagation-based method. Numerical simulations were performed to explore the influencing factors, namely model simplification, subcooling and natural convection, along with their impact on the measurement process and corresponding measurement results. The numerical solutions were provided in terms of moving curves of the solid-liquid interface and the predicted values of thermal conductivity. Results indicated that the impact of simplified model was strongly dependent on Stefan number of the melting process. The degree of subcooling would lead to underestimated values for thermal conductivity prediction. The natural convection would intensify the heat transfer rate in the liquid region, thereby overestimating the obtained results of thermal conductivity. Correlations and experimental guidelines are provided. The relative errors are limited in ±1.5%,±3%and ±2% corresponding to the impact of simplified model, subcooling and natural convection, respectively. 展开更多
关键词 phase change material thermal conductivity measurement influencing factor interface propagation-based method numerical simulation
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Search for circular and noncircular critical slip surfaces in slope stability analysis by hybrid genetic algorithm 被引量:8
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作者 朱剑锋 陈昌富 《Journal of Central South University》 SCIE EI CAS 2014年第1期387-397,共11页
A local improvement procedure based on tabu search(TS) was incorporated into a basic genetic algorithm(GA) and a global optimal algorithm,i.e.,hybrid genetic algorithm(HGA) approach was used to search the circular and... A local improvement procedure based on tabu search(TS) was incorporated into a basic genetic algorithm(GA) and a global optimal algorithm,i.e.,hybrid genetic algorithm(HGA) approach was used to search the circular and noncircular slip surfaces associated with their minimum safety factors.The slope safety factors of circular and noncircular critical slip surfaces were calculated by the simplified Bishop method and an improved Morgenstern-Price method which can be conveniently programmed,respectively.Comparisons with other methods were made which indicate the high efficiency and accuracy of the HGA approach.The HGA approach was used to calculate one case example and the results demonstrated its applicability to practical engineering. 展开更多
关键词 SLOPE STABILITY genetic algorithm tabu search algorithm safety factor
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Directly searching method for slip plane and its influential factors based on critical state of slope 被引量:30
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作者 林杭 曹平 +2 位作者 宫凤强 李江腾 桂易林 《Journal of Central South University》 SCIE EI CAS 2009年第1期131-135,共5页
In order to determine the slip plane of slope directly by the calculation results of strength reduction method, and analyze the influential factors of slope stability, a numerical model was established in plane strain... In order to determine the slip plane of slope directly by the calculation results of strength reduction method, and analyze the influential factors of slope stability, a numerical model was established in plane strain mode by FLAC3D for homogeneous soil slope, whose parameters were reduced until the slope reached the critical state. Then FISH program was used to get the location data of slip plane from displacement contour lines. Furthermore, the method to determine multiple slip planes was also proposed by setting different heights of elastic areas. The influential factors for the stability were analyzed, including cohesion, internal friction angle, and tensile strength. The calculation results show that with the increase of cohesion, failure mode of slope changes from shallow slipping to the deep slipping, while inclination of slip plane becomes slower and slipping volume becomes larger; with the increase of friction angle, failure mode of slope changes from deep slipping to shallow slipping, while slip plane becomes steeper and upper border of slip plane comes closer to the vertex of slope; the safety factor increases little and slip plane goes far away from vertex of slope with the increase of tensile strength. 展开更多
关键词 SLOPE strength reduction slip plane STABILITY influential factors
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Identifying boundary between near field and far field in ground vibration caused by surface loading 被引量:3
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作者 高广运 宋健 杨峻 《Journal of Central South University》 SCIE EI CAS 2014年第8期3284-3294,共11页
The boundary between the near and far fields is generally defined as the distance from the vibration source beyond which ground vibrations are mainly dominated by Rayleigh waves. It is closely related to the type of v... The boundary between the near and far fields is generally defined as the distance from the vibration source beyond which ground vibrations are mainly dominated by Rayleigh waves. It is closely related to the type of vibration source and the soil properties. Based on the solutions of the Lamb's problem, the boundary at the surface between the near and far fields of ground vibration was investigated for a harmonic vertical concentrated load and an infinite line load at the surface of a visco-elastic half-space. Particularly, the variation of the boundary with the material damping was investigated for both cases. The results indicate that the material damping slightly contributes to the attenuation of vibrations in the near-source region, but significantly reduces the vibrations in the region that is at some distance away from the source. When taking the material damping into consideration, the boundary between the near and far fields tends to move towards the vibration source. Compared with the vibrations caused by a concentrated load, the vibrations induced by an infinite line load can affect a larger range of the surrounding environment, and they attenuate more slowly. This means the boundary between the near field and far field should move fitrther away from the source. Finally, the boundaries are defined in terms of R-wave length (2R) and Poisson ratio of the ground (o). For the case of a point load, the boundary is located at the distance of (5.0-6.0)2R for v≤0.30 and at the distance of (2.0--3.0)2R for v≥0.35. For the case of an infinite line load, the boundary is located at the distance (5.5-6.5)2rt for v≤0.30 and at the distance (2.5--3.5)2R for v≥0.35. 展开更多
关键词 BOUNDARY near field far field active isolation passive isolation visco-elastic half-space concentrated load line distributed load
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A molecular dynamics study of calcium silicate hydrates-aggregate interfacial interactions and influence of moisture 被引量:4
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作者 ZHOU Yang PENG Ze-chuan +3 位作者 HUANG Jia-le MA Tao HUANG Xiao-ming MIAO Chang-wen 《Journal of Central South University》 SCIE EI CAS CSCD 2021年第1期16-28,共13页
The interface properties between hydrated cement paste(hcp)and aggregates largely determine the various performances of concrete.In this work,molecular dynamics simulations were employed to explore the atomistic inter... The interface properties between hydrated cement paste(hcp)and aggregates largely determine the various performances of concrete.In this work,molecular dynamics simulations were employed to explore the atomistic interaction mechanisms between the commonly used aggregate phase calcite/silica and calcium silicate hydrates(C-S-H),as well as the effect of moisture.The results suggest that the C-S-H/calcite interface is relatively strong and stable under both dry and moist conditions,which is caused by the high-strength interfacial connections formed between calcium ions from calcite and high-polarity non-bridging oxygen atoms from the C-S-H surface.Silica can be also adsorbed on the dry C-S-H surface by the H-bonds;however,the presence of water molecules on the interface may substantially decrease the affinities.Furthermore,the dynamics interface separation tests of C-S-H/aggregates were also implemented by molecular dynamics.The shape of the calculated stress-separation distance curves obeys the quasi-static cohesive law obtained experimentally.The moisture conditions and strain rates were found to affect the separation process of C-S-H/silica.A wetter interface and smaller loading rate may lead to a lower adhesion strength.The mechanisms interpreted here may shed new lights on the understandings of hcp/aggregate interactions at a nano-length scale and creation of high performance cementitious materials. 展开更多
关键词 calcium silicate hydrate AGGREGATE interfacial connections molecular dynamics simulation MOISTURE
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