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抛物型积分微分方程的全离散界面修正直接间断有限元法
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作者 谌超凡 郑云英 卜斌 《哈尔滨师范大学自然科学学报》 CAS 2024年第1期21-29,共9页
针对线性抛物型积分微分方程,首先利用带界面修正的直接间断有限元(DDGIC)法对空间离散,分析半离散格式的稳定性;然后在时间方向应用Crank-Nicolson法,建立全离散的Crank-Nicolson/DDGIC格式,对全离散格式的收敛性进行了详细讨论;最后... 针对线性抛物型积分微分方程,首先利用带界面修正的直接间断有限元(DDGIC)法对空间离散,分析半离散格式的稳定性;然后在时间方向应用Crank-Nicolson法,建立全离散的Crank-Nicolson/DDGIC格式,对全离散格式的收敛性进行了详细讨论;最后给出数值算例验证方法的有效性和理论结果. 展开更多
关键词 抛物型积分微分方程 界面修正的直接间断有限元法 Crank-Nicolson法
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板宽对FRP-混凝土粘结界面应力影响的三维有限元分析 被引量:7
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作者 叶锋 姚谏 《科技通报》 2008年第6期853-859,共7页
纤维增强塑料(FRP)与混凝土的粘结性能是混凝土结构外贴FRP板材这一加固技术的重要研究课题。本文通过对混凝土表面粘贴FRP板的单剪搭接接头进行三维有限元模拟,得出了胶和混凝土中在加载端和自由端附近的各应力分量的分布曲线以及FRP... 纤维增强塑料(FRP)与混凝土的粘结性能是混凝土结构外贴FRP板材这一加固技术的重要研究课题。本文通过对混凝土表面粘贴FRP板的单剪搭接接头进行三维有限元模拟,得出了胶和混凝土中在加载端和自由端附近的各应力分量的分布曲线以及FRP板中沿板长度方向的应力分布曲线,从而分析板宽对FRP-混凝土粘结界面应力分布的具体影响,以期为进一步的相关研究提供参考。研究结果表明:(1)沿着板宽度方向应力存在着严重的不均匀性;(2)随着板宽的增加,使得应力沿着板宽的方向渐趋于均匀,因而有利于应力的传递;(3)当宽度比较大时,易发生自由端混凝土的拉剪破坏。 展开更多
关键词 FRP 界面应力 有限元分析 搭接接头 板宽
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求解椭圆型界面问题的一类新多重网格方法 被引量:3
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作者 董白英 李郴良 胡晔 《桂林电子科技大学学报》 2012年第4期325-330,共6页
针对椭圆型界面问题,基于界面有限元法的离散提出了一类新多重网格法。对界面曲线附近的节点,利用界面曲线信息和跳跃条件构造高精度延拓算子,基于新的插值延拓算子建立新多重网格法。数值试验说明了新多重网格法的稳健性。
关键词 椭圆型界面问题 界面有限 多重网格法
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二维椭圆界面问题的瀑布型多重网格方法
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作者 董白英 《宁夏师范学院学报》 2017年第6期13-20,共8页
对于二维椭圆界面问题,基于浸入界面有限元方法离散,提出了一类瀑布型多重网格方法.对界面曲线附近的节点,结合界面曲线信息和跳跃条件构造了一类新的高精度插值算子,并基于新插值算子建立瀑布型多重网格法.数值实验说明了新瀑布型多重... 对于二维椭圆界面问题,基于浸入界面有限元方法离散,提出了一类瀑布型多重网格方法.对界面曲线附近的节点,结合界面曲线信息和跳跃条件构造了一类新的高精度插值算子,并基于新插值算子建立瀑布型多重网格法.数值实验说明了新瀑布型多重网格法的稳健性和有效性,并且在相同的迭代终止条件、光滑算子和粗网格算子的条件下,比较了基于四类插值算子的瀑布型多重网格法的收敛速度. 展开更多
关键词 浸入界面有限元法 高精度插值算子 瀑布型多重网格法
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土工织物加筋路堤筋-土界面摩擦力分布形式分析 被引量:1
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作者 周建萍 《岩石力学与工程学报》 EI CAS CSCD 北大核心 2004年第z1期4366-4367,共2页
编制了有限元程序,对大量工程实例进行了计算分析,提出了改进的筋-土界面摩擦力分布形式。
关键词 路基工程 土工织物 加筋路堤 界面摩擦力 有限单元法
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Critical load position for cavities beneath CRCP slab under vehicle loading 被引量:2
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作者 陈小兵 赵蓉龙 +2 位作者 童金虎 黄晓明 罗瑞林 《Journal of Southeast University(English Edition)》 EI CAS 2016年第1期78-84,共7页
In order to study the critical load position that causes cavities beneath the continuously reinforced concrete pavement( CRCP) slab under vehicle loading, the elliptical load is translated into the square load based... In order to study the critical load position that causes cavities beneath the continuously reinforced concrete pavement( CRCP) slab under vehicle loading, the elliptical load is translated into the square load based on the equivalence principle.The CRCP slab is analyzed to determine the cavity position beneath the slab under vehicle loading. The influences of cavity size on the CRCP slab's stress and vertical displacement are investigated. The study results showthat the formation of the cavity is unavoidable under traffic loading, and the cavity is located at the edge of the longitudinal crack and the slab corner.The cavity size exerts an obvious influence on the largest horizontal tensile stress and vertical displacement. The slab corner is the critical load position of the CRCP slab. The results can be used to assist the design of CRCP in avoiding cavities beneath slabs subject to vehicle loading. 展开更多
关键词 vehicle loading CAVITY continuously reinforced concrete pavement(CRCP) critical load position finite element method(FEM)
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H62黄铜疏水表面的制备及疏水机理研究 被引量:4
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作者 乔卫 朱定一 +2 位作者 温鸿英 王尤生 廖琳 《科学技术与工程》 2009年第24期7319-7324,共6页
采用三氯化铁和盐酸溶液刻蚀H62黄铜表面,得到了一层由梯田状台阶结构及平均孔径为(6.2—8.3)μm的蚀坑组成的阶层结构。该表面与水滴的表观接触角最大为131.8(°),接触角滞后为5.6(°)。研究了不同刻蚀时间对表面疏水性的影响... 采用三氯化铁和盐酸溶液刻蚀H62黄铜表面,得到了一层由梯田状台阶结构及平均孔径为(6.2—8.3)μm的蚀坑组成的阶层结构。该表面与水滴的表观接触角最大为131.8(°),接触角滞后为5.6(°)。研究了不同刻蚀时间对表面疏水性的影响,结果表明刻蚀时间对表面阶层结构的形成和水滴在该表面的接触角有重要的影响。随着刻蚀时间的增加,表面逐渐形成台阶结构并且边缘趋于规整,接触角不断增大;当台阶结构消失时,接触角随之变小。初步分析了这种阶层结构的形成机制,用Wenzel理论、Cassie理论及有限液-固界面理论对表面的润湿性进行了分析。结果表明,有限液-固界面理论在表征粗糙表面润湿性方面更具有合理性。 展开更多
关键词 疏水性 黄铜 接触角 有限液-固界面 微细结构
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Temperature Characteristics of Bilayer Thin-Film Devices Under Organic Interface Limited Current Conduction
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作者 杨青森 彭应全 +4 位作者 邢宏伟 李训栓 袁建挺 马朝柱 赵明 《Journal of Semiconductors》 EI CAS CSCD 北大核心 2008年第6期1075-1080,共6页
Temperature characteristics are important for the performance of organic thin film devices. On the basis of the hopping theory of Miller-Abrahams,an analytical model of charge transport for bilayer organic devices und... Temperature characteristics are important for the performance of organic thin film devices. On the basis of the hopping theory of Miller-Abrahams,an analytical model of charge transport for bilayer organic devices under the organicorganic interface limited current conduction is developed. The dependence of current, field,and carrier distribution in bilayer organic devices with the structure of "injection electrode/Layer Ⅰ/Layer Ⅱ/collection electrode" on temperature are numerically analyzed. We conclude that, for a given applied voltage, when temperature is raised, the voltage of LayerⅠ will increase,and the field will be higher. Meanwhile, the voltage of Layer Ⅲ will decrease, the field will become weaker accordingly,and the current of the device will increase. 展开更多
关键词 organic-organic interface limited temperature characteristics numerical analysis
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有缝重力坝动力非线性数值计算模型及其应用
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作者 黎勇 栾茂田 林皋 《世界地震工程》 CSCD 2004年第1期1-9,共9页
对于有缝重力坝的分析,基于连续介质力学的界面单元-有限元方法难于比较精确地模拟缝间的接触应力,从而无法合理地估算坝体应力与变形。作者对于多体系统和分区连续介质所发展的非连续变形计算力学模型能够根据接触界面的本构特性及其... 对于有缝重力坝的分析,基于连续介质力学的界面单元-有限元方法难于比较精确地模拟缝间的接触应力,从而无法合理地估算坝体应力与变形。作者对于多体系统和分区连续介质所发展的非连续变形计算力学模型能够根据接触界面的本构特性及其力学和运动学约束条件精确地再现受力过程中界面相互作用力的传递与非连续变形状态,本文将其应用于有缝重力坝的动力分析。实例数值分析表明该模型的计算结果从定性上讲是合理的,并且为判断坝体缝隙的工作状态与界面应力提供了有力的依据。 展开更多
关键词 有缝重力坝 连续介质力学 界面单元-有限元方法 坝体应力
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有限元-界面元混合模型及其应用
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作者 尹华伟 易伟建 刘艳 《湖南科技大学学报(自然科学版)》 CAS 北大核心 2006年第4期41-46,共6页
推导得出了一个简化过渡界面单元的单元刚度矩阵.采用界面元-有限元的混合模型来模拟三维土-结构体系,并采用一致边界来模拟波向无穷远域地基的传播作用.然后编制了一个可用于进行三维土-结构非线性地震反应分析的程序,并用该程序对一... 推导得出了一个简化过渡界面单元的单元刚度矩阵.采用界面元-有限元的混合模型来模拟三维土-结构体系,并采用一致边界来模拟波向无穷远域地基的传播作用.然后编制了一个可用于进行三维土-结构非线性地震反应分析的程序,并用该程序对一框架结构进行了考虑土-结构相互作用影响的地震反应分析.最后总结了各种非线性因素和土-结构相互作用效应对结构地震反应的影响规律.图11,参9. 展开更多
关键词 有限 界面 有限元-界面元混合模型 过渡界面 土-结构相互作用 一致边界 地震反应
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Stress distributions on crown-luting cement-substrate system with finite element method 被引量:1
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作者 S.SEN M.S.GULER C.GULER 《Journal of Central South University》 SCIE EI CAS 2012年第8期2115-2124,共10页
The aim of this work is to analyze the stress distributions on a crown-luting cement-substrate system with a finite-element method in order to predict the likelihood of interfacial micro cracks, radial or circumferent... The aim of this work is to analyze the stress distributions on a crown-luting cement-substrate system with a finite-element method in order to predict the likelihood of interfacial micro cracks, radial or circumferential cracks, delamination, fracture and delamination with torsion. The contact and layer interface stresses in elastic layered half-space indented by an elastic sphere were examined using finite element method. The model consists of crown, luting cement and substrate. The solutions were carried out for three different elastic moduli of luting cement. It was placed between the cement and the substrate as a middle layer and its elastic module was chosen lower than the elastic module of crown and higher than the elastic module of dentin. An axisymmetric finite element mesh was set up for the stress analysis. Stress distributions on the contact surface and the interfaces of crown-luting cement and luting cement-dentin have been investigated for three different values of luting cement by using ANSYS. The effects of the luting cement which has three different elastic moduli on the pressure distribution and the location of interfacial stresses of the multi-layer model have been examined. The mechanism of crack initiation in the interfaces and interracial delamination was also studied quantitatively. For each luting cement, the pressure distribution is similar at the contact zone. Stress discontinuities occur at the perfect bonding interfaces of the crown-luting cement and the substrate-luting cement. The maximum stress jumps are obtained for the highest and the lowest elastic module of the luting cement. In the crown-luting cement-substrate system, failures may initiate at crown-luting cement region for luting cement with the lowest elastic module value. In addition, failures at luting cement-substrate region may occur for luting cement with the highest elastic module. In the luting cement, the medium elastic module value is more suitable for stress distribution in crown-luting cement-substrate interfaces. 展开更多
关键词 finite element modeling stress analysis adhesive and luting cement elastic deformation plastic deformation
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One-dimensional nonlinear consolidation analysis of soil with continuous drainage boundary 被引量:7
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作者 ZONG Meng-fan TIAN Yi +3 位作者 LIANG Rong-zhu WUWen-bing XU Mei-juan MEI Guo-xiong 《Journal of Central South University》 SCIE EI CAS CSCD 2022年第1期270-281,共12页
Following the assumptions proposed by MESRI and ROKHSAR,the one-dimensional nonlinear consolidation problem of soil under constant loading is studied by introducing continuous drainage boundary.The numerical solution ... Following the assumptions proposed by MESRI and ROKHSAR,the one-dimensional nonlinear consolidation problem of soil under constant loading is studied by introducing continuous drainage boundary.The numerical solution is derived by using finite difference method and its correctness is assessed by comparing with existing analytical and numerical solutions.Based on the present solution,the effects of interface parameters,stress ratios(i.e.,final effective stress over initial effective stress,N_(σ))and the ratio c_(c)/c_(k)of compression index to permeability index on the consolidation behavior of soil are studied in detail.The results show that,the characteristics of one-dimensional nonlinear consolidation of soil are not only related to c_(c)/c_(k)and N_(σ),but also related to boundary conditions.In the engineering practice,the soil drainage rate of consolidation process can be designed by adjusting the values of interface parameters. 展开更多
关键词 one-dimensional nonlinear consolidation continuous drainage boundary finite difference method interface parameter
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Microstructure and mechanical behavior of Ti/Cu/Ti laminated composites produced by corrugated and flat rolling 被引量:2
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作者 Zhu-bo LIU Xin-yue WANG +4 位作者 Ming-shuo LIU Yuan-ming LIU Jiang-lin LIU A.V.IGNATOV Tao WANG 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2022年第8期2598-2608,共11页
Ti/Cu/Ti laminated composites were fabricated by corrugated rolling(CR) and flat rolling(FR) method.Microstructure and mechanical properties of CR and FR laminated composites were investigated by scanning electron mic... Ti/Cu/Ti laminated composites were fabricated by corrugated rolling(CR) and flat rolling(FR) method.Microstructure and mechanical properties of CR and FR laminated composites were investigated by scanning electron microscopy, numerical simulation methods, peel and tensile examinations. The effect of CR and FR was comparatively analyzed. The results showed that the CR and FR laminated composites exhibited different effective plastic strain distributions of the Ti layer and Cu layer at the interface. The recrystallization texture, prismatic texture and pyramidal texture were developed in the Ti layer by CR, while the R-Goss texture and shear texture were developed in the Cu layer by CR. The typical deformation texture components were developed in the Ti layer and Cu layer of FR laminated composites. The CR laminated composites had higher bond strength, tensile strength and ductility. 展开更多
关键词 Ti/Cu/Ti laminated composites corrugated rolling flat rolling bond strength interfacial microstructure finite element analysis
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Distribution of stress and strain between adjacent particles in particulate reinforced metal matrix composites 被引量:2
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作者 Qing LIU Fu-gong QI +2 位作者 Hai-min DING Xiao-liang FAN Ying YUE 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2018年第11期2315-2324,共10页
The distribution of stress and strain between adjacent particles in particulate reinforced metal matrix composites wasinvestigated using cohesive zone models. It is found that the strain of the composite is concentrat... The distribution of stress and strain between adjacent particles in particulate reinforced metal matrix composites wasinvestigated using cohesive zone models. It is found that the strain of the composite is concentrated in the matrix, and there is aregion with higher strain along the loading path, which can promote the formation of a void near the particles pole. The stress andstrain in matrix near the particles gradually decrease with the increase of the distance between particles. And it is calculated that thereis a critical distance within which the stress and strain fields of the neighboring particles can influence with each other. This criticaldistance increases with the increase of particle size. It is also found that the angle between the tensile direction and the center line ofparticles plays an important role in the stress and strain distribution. The model with the angle of 0° has the greatest influence on thedistribution of stress and strain in the matrix, while the model with the angle of 45° has the least influence on the distribution of stressand strain in the matrix. 展开更多
关键词 stress STRAIN metal matrix composite finite-element analysis FRACTURE interface
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金属增材制造的相场模拟现状及展望
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作者 刘佳 高建宝 +3 位作者 李志诚 马飒 钟静 张利军 《铸造技术》 CAS 2023年第2期87-100,共14页
金属增材制造涉及传热与传质、相变、晶粒生长、熔体流动等多个复杂物理过程,实现其微结构演变的定量模拟难度大。相场法采用序参量描述气/液/固相、晶粒形状/取向等复杂微结构,且能直接引入描述各物理过程的场变量(如浓度、温度、熔体... 金属增材制造涉及传热与传质、相变、晶粒生长、熔体流动等多个复杂物理过程,实现其微结构演变的定量模拟难度大。相场法采用序参量描述气/液/固相、晶粒形状/取向等复杂微结构,且能直接引入描述各物理过程的场变量(如浓度、温度、熔体流速等),在金属增材制造过程微结构模拟方面显示出巨大优势。本文简要介绍了相场法的发展和分类,归纳了不同相场模型的特点,详细综述了不同相场模型在金属增材制造凝固过程中微结构演化模拟的研究进展,重点探讨了不同相场模型在金属增材制造领域应用的优势与局限性。最后,展望了相场法在金属增材制造领域的应用前景,并指出其发展方向。 展开更多
关键词 金属增材制造 相场法 有限界面耗散相场模型 微结构演化 合金设计
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Strongly nonlinear long interfacial waves in uniform basic flows and their dispersion relationship
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作者 杨红丽 杨联贵 +2 位作者 宋金宝 侯一筠 杨建平 《Chinese Journal of Oceanology and Limnology》 SCIE CAS CSCD 2009年第1期135-141,共7页
In this paper, long interfacial waves of finite amplitude in uniform basic flows are considered with the assumption that the aspect ratio between wavelength and water depth is small. A new model is derived using the v... In this paper, long interfacial waves of finite amplitude in uniform basic flows are considered with the assumption that the aspect ratio between wavelength and water depth is small. A new model is derived using the velocities at arbitrary distances from the still water level as the velocity variables instead of the commonly used depth-averaged velocities. This significantly improves the dispersion properties and makes them applicable to a wider range of water depths. Since its derivation requires no assumption on wave amplitude, the model thus can be used to describe waves with arbitrary amplitude. 展开更多
关键词 uniform basic flows strongly nonlinear dispersion relationship
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Adaptive Lagrange finite element methods for high precision vibrations and piezoelectric acoustic wave computations in SMT structures and plates with nano interfaces
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作者 张武 洪涛 《Journal of Zhejiang University Science》 CSCD 2002年第1期6-12,共7页
This paper discusses the validity of (adaptive) Lagrange generalized plain finite element method (FEM) and plate element method for accurate analysis of acoustic waves in multi-layered piezoelectric structures with ti... This paper discusses the validity of (adaptive) Lagrange generalized plain finite element method (FEM) and plate element method for accurate analysis of acoustic waves in multi-layered piezoelectric structures with tiny interfaces between metal electrodes and surface mounted piezoelectric substrates. We have come to conclusion that the quantitative relationships between the acoustic and electric fields in a piezoelectric structure can be accurately determined through the proposed finite element methods. The higher-order Lagrange FEM proposed for dynamic piezoelectric computation is proved to be very accurate (prescribed relative error 0.02% - 0.04% ) and a great improvement in convergence accuracy over the higher order Mindlin plate element method for piezoelectric structural analysis due to the assumptions and corrections in the plate theories.The converged lagrange finite element methods are compared with the plate element methods and the computedresults are in good agreement with available exact and experimental data. The adaptive Lagrange finite elementmethods and a new FEA computer program developed for macro- and micro-scale analyses are reviewed, and recently extended with great potential to high-precision nano-scale analysis in this paper and the similarities between piezoelectric and seismic wave propagations in layered structures and plates are stressed. 展开更多
关键词 Lagrangian finite element surface mount resonator structure plate element anisotropic piezoelectric quartz material acoustic wave computational nano\|dynamics SMT(surface mount technology)
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三维复杂界面炮集P波反射时距特征
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作者 司洁戈 郝重涛 姚陈 《地球物理学进展》 CSCD 北大核心 2016年第1期310-317,共8页
近年来,由于勘探区域构造的逐渐复杂化,要求我们对复杂界面反射的时距特征有更进一步认识.本文在已有对复杂界面研究的基础上,结合实际3D复杂地质构造特征,对复杂条件做了两个限定:一是反射界面有界,二是复杂界面有多个不同性质界面组... 近年来,由于勘探区域构造的逐渐复杂化,要求我们对复杂界面反射的时距特征有更进一步认识.本文在已有对复杂界面研究的基础上,结合实际3D复杂地质构造特征,对复杂条件做了两个限定:一是反射界面有界,二是复杂界面有多个不同性质界面组合而成.在这两条限定条件下,从界面反射点出发,进行炮集P波反射时距特征研究.结果表明,复杂界面反射会生产多条时距曲线,反射时距特征随测线方位的变化而变化,不同方位的时距对应的三维反射路径、反射点范围、反射点位置以及界面特征不同.其次时距曲线之间存在着比较复杂的位置关系,包括交叉、断续和无信号道等特征,这些复杂特征与组合模型中倾斜界面的倾向、倾角、模型范围和深度有关.最后对复杂模型的理论数值分析得出了反射点范围与接收点范围的对应关系,并理论证明了复杂条件下部分反射特征以及反射盲区的存在,这与实际三维地震勘探相符合.此研究有助于实际生产的观测设计及数据处理解释,对于提高三维复杂构造反射界面的认识具有理论意义. 展开更多
关键词 3D复杂界面 界面有限 时距特征 反射路径
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仿荷叶微凹凸表面的疏水机理与判据 被引量:7
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作者 朱定一 乔卫 王连登 《科学通报》 EI CAS CSCD 北大核心 2010年第16期1595-1599,共5页
根据液滴在有限液固界面上接触角恒增大原理,提出仿荷叶微凹凸表面提高疏水性是众多小尺寸有限液固界面所集成的结果.建立了液滴在类荷叶结构表面的稳定性数学方程,推导出微凹凸表面空隙的理论临界半径与固体、液体性质之间的关系,阐述... 根据液滴在有限液固界面上接触角恒增大原理,提出仿荷叶微凹凸表面提高疏水性是众多小尺寸有限液固界面所集成的结果.建立了液滴在类荷叶结构表面的稳定性数学方程,推导出微凹凸表面空隙的理论临界半径与固体、液体性质之间的关系,阐述了实现疏水性的3个条件.计算结果表明,当微凹凸表面空隙半径小于理论临界半径rc时,液滴在固体表面均可呈现接触角大于90°的稳定状态,而液固界面面积的最小化以及低的固体表面能是实现疏水性的重要因素.提出用有效黏附功W′a作为衡量固体表面疏水能力的判据. 展开更多
关键词 有限液-固界面 疏水性 接触角 临界半径 黏附功
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Temperature-induced deformation of CRTS II slab track and its effect on track dynamical properties 被引量:9
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作者 SONG XiaoLin ZHAO ChunFa ZHU XiaoJia 《Science China(Technological Sciences)》 SCIE EI CAS 2014年第10期1917-1924,共8页
Two finite-element models of the CRTS II slab track are presented to simulate temperature-induced deformations of the concrete track slab with no deterioration or with a deteriorated cement asphalt mortar(CAM).One mod... Two finite-element models of the CRTS II slab track are presented to simulate temperature-induced deformations of the concrete track slab with no deterioration or with a deteriorated cement asphalt mortar(CAM).One model,which considers the fully bonding interface between the slab and the CAM layer,could applied to a track that is in good condition;the other model uses cohesive zone elements to simulate the deteriorated CAM with some possible interfacial separation and slip.Utilizing both of the models,temperature-induced warp deformations of track under various temperature loads are investigated.The influence of temperature deformation on the dynamic properties of the track is analyzed based on the train-track coupled dynamics.Numerical results show that the deteriorated CAM layer can significantly increase temperature deformations of a CRTS II track slab,which would produce tiny rail irregularities.There are clear differences between the deformation shapes of the track slabs that have an inseparable mortar layer and those have a separable mortar layer.The track slab with a deteriorated mortar layer showed more open curl distortion than the track slab in good condition.The dynamical response index of the slab track is intensified to a certain level due to the temperature deformation;with an increase of the train speed,the track dynamical responses increased linearly.However,rail irregularities due to the temperature deformations are very tiny.Even if a track is exposed to extreme temperature loads and the mortar layer is deteriorated,temperature deformation can have a negligible effect on the track’s dynamical properties. 展开更多
关键词 high-speed railway temperature deformation slab track dynamical properties
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