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循环球式动力转向器的数模构建与仿真分析
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作者 马竹樵 张虓 +1 位作者 罗秋华 费叶琦 《内燃机与配件》 2018年第23期55-56,共2页
汽车是一个非常庞大的系统,而转向系统又是其中至关重要的一个环节,关系到汽车能否驶向既定的目标。该系统可使车辆按照驾驶人的意愿进行行驶,而当路面状况不佳时,可以通过人手对方向盘施加的力矩来使汽车保持方向稳定。由此可以看出转... 汽车是一个非常庞大的系统,而转向系统又是其中至关重要的一个环节,关系到汽车能否驶向既定的目标。该系统可使车辆按照驾驶人的意愿进行行驶,而当路面状况不佳时,可以通过人手对方向盘施加的力矩来使汽车保持方向稳定。由此可以看出转向系统在行驶过程中对车辆的稳定与安全有着重要影响。国内主流的轻型卡车大多采用循环球式液压助力转向器,因为其结构紧凑。这样可以提高驾驶室的利用率,降低了转向力,并使转向系统更加灵敏。本论文拟对某轻型卡车的循环球式液压助力转向器进行研究分析,在满足整车布置的前提下,实现有效扭矩提升和系统轻量化。提升用户使用体验,并为企业节约成本。 展开更多
关键词 循环球式动力转向器 数模构建 仿真分析
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回归分析法研究大黄素对家兔十二指肠肌电作用的机制 被引量:1
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作者 万仕成 赵建帅 +9 位作者 肖妍 王莹 刘晨熙 崔伊檬 张金 惠乔岳 杨松桦 张莹利 武永杰 徐永平 《动物医学进展》 北大核心 2021年第9期58-64,共7页
通过建立家兔耳缘静脉注射大黄素的剂量和十二指肠肌电活动指数之间的回归方程,为探究大黄素对十二指肠平滑肌运动的作用机制提供依据。选用体重2 kg左右的青年健康家兔42只,雌雄各半,通过手术埋置电极建立肌电活动监测动物模型;33只家... 通过建立家兔耳缘静脉注射大黄素的剂量和十二指肠肌电活动指数之间的回归方程,为探究大黄素对十二指肠平滑肌运动的作用机制提供依据。选用体重2 kg左右的青年健康家兔42只,雌雄各半,通过手术埋置电极建立肌电活动监测动物模型;33只家兔随机分为对照组和1 mg/kg~15 mg/kg等10个给药剂量组,每组3只,通过回归分析所得数据建立数学模型;通过统计学分析取促进或抑制作用最明显的剂量组,进行阿托品阻断试验设计,用于评价胆碱能神经在大黄素影响十二指肠平滑肌运动中的作用。结果表明,单因素方差分析表明,随着剂量增加,大黄素对十二指肠平滑肌有先促进后抑制的一正一反双峰型趋势,1 mg/kg~5 mg/kg各剂量均有促进作用,6 mg/kg~15 mg/kg各剂量均有抑制作用;利用Origin 2017采用双峰拟合并引入的阶跃函数a(x)与b(x)建立数学模型为F(x)=3.693+a(x)×4.608×exp{-exp[-(x-1.821)/1.023]-(x-1.821)/1.023+1}+b(x)×(-2.386)×exp{-exp[-(x-7.832)/1.945]-(x-7.832)/1.945+1},a(x)=1,x≤5.1890.x>5.189,b(x)=0,x≤5.1891.x>5.189,该函数的拟合精度R 2=0.9685,P<0.01,说明函数拟合精度高;阻断试验表明,注射阿托品后,0、2、8 mg/kg大黄素剂量组均显著降低,且3组之间差异不显著(P>0.05),说明阿托品能阻断大黄素对十二指肠平滑肌的影响;当剂量达到10 mg/kg及以上时,家兔出现焦躁不安,严重者甚至出现抽搐、角弓反张、血便等症状。研究结果为阐明大黄素对十二指肠运动的调节机制和大黄素类药物研发应用提供了一定的理论依据和参考。 展开更多
关键词 大黄素 十二指肠 肌电活动指数 数模构建 家兔
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三维模型驱动的快速工艺设计体系探析 被引量:1
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作者 李思宇 李春磊 程晓芳 《技术与市场》 2020年第6期93-93,95,共2页
对当前工艺设计决策领域的研究现状和存在问题进行了分析,阐述了构建三维化工艺设计体系的重要意义,并对三维模型驱动的快速工艺设计体系的科学内涵与实施内容进行了探讨,希望起到抛砖引玉的作用。
关键词 三维工序数模 工序数模构建 快速工艺设计体系
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入海口处复杂动力场下数值模拟模型比选验证探讨——以大芦线东延伸航道整治工程为例
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作者 夏爱梅 王孟璇 《中文科技期刊数据库(全文版)自然科学》 2022年第8期189-193,共5页
伴随河海直达运输的船型、高等级航道的研究发展及项目推进,其环境影响研究也急需相应进展。为此,本文以河海直达-大芦线东延伸航道整治工程为例:分析了内河及外海不同水文条件下水动力模型的比选、验证过程,为此类项目数模构建及参数... 伴随河海直达运输的船型、高等级航道的研究发展及项目推进,其环境影响研究也急需相应进展。为此,本文以河海直达-大芦线东延伸航道整治工程为例:分析了内河及外海不同水文条件下水动力模型的比选、验证过程,为此类项目数模构建及参数选取提供参考、为环境影响评价提供技术支撑和科学计算依据、为工程优化设计提供数据支撑。 展开更多
关键词 河海直达 数模构建 环境影响评价
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Implicit modeling of complex orebody with constraints of geological rules 被引量:14
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作者 De-yun ZHONG Li-guan WANG +1 位作者 Lin BI Ming-tao JIA 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2019年第11期2392-2399,共8页
To dynamically update the shape of orebody according to the knowledge of a structural geologist’s insight,an approach of orebody implicit modeling from raw drillhole data using the generalized radial basis function i... To dynamically update the shape of orebody according to the knowledge of a structural geologist’s insight,an approach of orebody implicit modeling from raw drillhole data using the generalized radial basis function interpolant was presented.A variety of constraint rules,including geology trend line,geology constraint line,geology trend surface,geology constraint surface and anisotropy,which can be converted into interpolation constraints,were developed to dynamically control the geology trends.Combined with the interactive tools of constraint rules,this method can avoid the shortcomings of the explicit modeling method based on the contour stitching,such as poor model quality,and is difficult to update dynamically,and simplify the modeling process of orebody.The results of numerical experiments show that the 3D ore body model can be reconstructed quickly,accurately and dynamically by the implicit modeling method. 展开更多
关键词 three-dimensional geomodeling implicit modeling radial basis function structural anisotropy geological rules
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Set-based parametric modeling, buckling and ultimate strength estimation of stiffened ship structures 被引量:1
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作者 LI Yi-bo PAN Qing +1 位作者 HUANG Ming-hui LI Lu 《Journal of Central South University》 SCIE EI CAS CSCD 2019年第7期1958-1975,共18页
There have been a great demand for a suitable and convenient method in the field of buckling analysis of stiffened ship structures, which is essential to structural safety assessment and is significantly time-consumin... There have been a great demand for a suitable and convenient method in the field of buckling analysis of stiffened ship structures, which is essential to structural safety assessment and is significantly time-consuming. Modeling, buckling behaviors and ultimate strength prediction of stiffened panels were investigated. The modeling specification including nonlinear finite element model and imperfections generation, and post-buckling analysis procedure of stiffened plates were demonstrated. And a software tool using set-based finite element method was developed and executed in the MSC. Marc environment. Different types of stiffen panels of marine structures have been employed to investigate the buckling behavior and assess the validity in the estimation of ultimate strength. A comparison between results of the generally accepted methods, experiments and the software tool developed was demonstrated. It is shown that the software tool can predict the ultimate capacity of stiffened panels with imperfections with a good accuracy. 展开更多
关键词 BUCKLING ultimate strength stiffened plates parametric modeling ship structure
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Proposal and evaluation of a new norm index-based QSAR model to predict pEC50 and pCC50 activities of HEPT derivatives 被引量:2
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作者 Kanwal Shahid Qiang Wang +4 位作者 Qingzhu Jia Lei Li Xue Cui Shuqian Xia Peisheng Ma 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2016年第10期1464-1469,共6页
The search and development of anti-HIV drugs is currently one of the most urgent tasks of pharmacological studies. In this work, a quantitative structure-activity relationship (QSAR) model based on some new norm ind... The search and development of anti-HIV drugs is currently one of the most urgent tasks of pharmacological studies. In this work, a quantitative structure-activity relationship (QSAR) model based on some new norm indexes, was obtained to a series of more than 150 HEPT derivatives (1-[(2-hydroxyethoxy)methyl]-6-(phenylthio)thymine) to find their pEC50 (the required effective concentration to achieve 50% protection of MT-4 cells against the cytopathic effect of virus) and pCC50 (the required cytotoxic concentration to reduce visibility of 50% mock infected cell) activities. The model efficiencies were then validated using the leave-one-out cross validation (LOO-CV) and y- randomization test. Results indicated that this new model was efficient and could provide satisfactory results for prediction of pECso and pCC50 with the higher R2 train and the higher Rt2est. By using the leverage approach, the applicability domain of this model was further investigated and no response outlier was detected for HEFT derivatives involved in this work. Comparison results with reference methods demonstrated that this new method could result in significant improvements for predicting pEC50 and pCC50 of anti-HIV HEPT derivatives. Moreover, results shown in this present study suggested that these two absolutely different activities pECso and pCC50 of anti-HIV HEPT derivatives could be predicted well with a totally similar QSAR model, which indicated that this model mizht have the potential to be further utilized for other biological activities of HEFT derivatives. 展开更多
关键词 Mathematical modeling Structure-activity relationship Pharmaceuticals HEFT derivatives Anti-HIV-1 activity Prediction
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Linux-based Platform for Open Architecture Controller and Its Modular Developing Method
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作者 迟永琳 王宇晗 +1 位作者 吴祖育 蔡建国 《Journal of Donghua University(English Edition)》 EI CAS 2003年第2期107-111,共5页
Linux-based Platform for Open Architecture Controller ( POAC ), a new open architecture controller and its modular developing method are discussed. POAC divides the application software of controller into the developi... Linux-based Platform for Open Architecture Controller ( POAC ), a new open architecture controller and its modular developing method are discussed. POAC divides the application software of controller into the developing system and the application system. In the developing system, PAOC abstracts a series of function modules with unified data interface and function interface. In the application system, POAC defines the model of the architecture module, realizing the interoperability and interchangeability between the architecture modules. The modular developing method entities the users to make up an application system with some architecture modules, which consist of a set of function modules. The modular developing method decreases the developing time from the standard of controller architecture to the product. 展开更多
关键词 Open architecture controller Function Module Architecture Modules Modular developing method
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Numerical Simulation on Dynamic Bending Strength of Three-Graded Concrete Beam Based on Meso-Mechanics
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作者 田瑞俊 杜修力 彭一江 《Transactions of Tianjin University》 EI CAS 2008年第5期371-375,共5页
To study the bending strength of mass concrete under dynamic loading, the pure bending zone of three-graded concrete beam is considered as a three-phase composite composed of matrix, aggregate and interface between th... To study the bending strength of mass concrete under dynamic loading, the pure bending zone of three-graded concrete beam is considered as a three-phase composite composed of matrix, aggregate and interface between them on meso-level. Dynamic constitutive model considering strain-rate strengthening effect and damage softening effect is adopted to describe the cocrete and meso-element's damage. The failure mechanisms of beam under impact loading, triagle wave load, dynamic load coupling with initial static loading were simulated by using displacement-controlled FEM. Furthermore, stress-strain curve of the specimens and their dynamic bending strength were obtained. The results obtained from numerical simulation agreed well with experimental data. 展开更多
关键词 concrete beam meso-mechanics dynamic bending strength numerical simulation
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Experimental Investigation of TARMAX Model for Modeling of Hydrodynamic Forces on Cylinder-like Structures 被引量:3
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作者 M. A. Lotfollahi Yaghin A. Mojtahedi +1 位作者 M. M. Ettefagh M. H. Aminfar 《Journal of Marine Science and Application》 2011年第3期281-288,共8页
A new approach that models lift and drag hydrodynamic force signals operating over cylindrical structures was developed and validated. This approach is based on stochastic auto regressive moving average with exogenous... A new approach that models lift and drag hydrodynamic force signals operating over cylindrical structures was developed and validated. This approach is based on stochastic auto regressive moving average with exogenous (ARMAX) input and its time-varying form, TARMAX. Model structure selection and parameter estimation were discussed while considering the validation stage. In this papel; the cylindrical structure was considered as a dynamic system with an incoming water wave and resulting forces as the input and outputs, respectively. The experimental data, used in this study, were collected from a full-scale rough vertical cylinder at the Delft Hydraulics Laboratory. The practicality of the proposed method and also its efficiency in structural modeling were demonstrated through applying two hydrodynamic force components. For this purpose, an ARMAX model is first used to capture the dynamics of the process, relating in-line forces provided by water waves; secondly, the TARMAX model was applied to modeling and analysis of the lift forces on the cylinder. The evaluation of the lift force by the TARMAX model shows the model is successful in modeling the force from the surface elevation. 展开更多
关键词 cylindrical piles wave force system identification parametric models
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Current State of Numerical Simulations and Testing for the Blast and Impact Protection of the Build Civil Engineering Infrastructure
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作者 GEBBEKEN Norbert 《Transactions of Tianjin University》 EI CAS 2006年第B09期1-7,共7页
The identification of the critical infrastructure has shown that the build civil engineering infrastructure is almost involved everywhere, even with the IT-infrastructure. Therefore, the passive safety of structures i... The identification of the critical infrastructure has shown that the build civil engineering infrastructure is almost involved everywhere, even with the IT-infrastructure. Therefore, the passive safety of structures is demanded. Security associations have analysed that most assaults came along with explosion and impact scenarios, which amount in 80% of assaults. Consequently, these are the extraordinary loads the structures have to be planned and designed for. To carry out such an engineering job, the engineer has to be educated in multiple disciplines as physics, material science , continuum mechanics, numerical mechanics, testing, structural engineering and related specific fields as wave propagation etc. In this paper we will concentrate on the subjects of numerical simulation and testing. 展开更多
关键词 BLAST IMPACT numerical simulation testing passive structural safety
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Concealed fault analysis based on the CT projection matrix 被引量:2
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作者 Yang Zhen Yao Wenli +1 位作者 Ma Liuzhu Wise Lucas 《International Journal of Mining Science and Technology》 SCIE EI CSCD 2016年第2期361-367,共7页
This paper proposes the concept of projection curves based on the theory of CT image reconstruction to probe the internal structure of the working panel prior to formal mining of the working panel.As well as reducing ... This paper proposes the concept of projection curves based on the theory of CT image reconstruction to probe the internal structure of the working panel prior to formal mining of the working panel.As well as reducing costs,this method provides safe and efficient excavation of the working panel.According to the results of the numerical model and the actual working panel,the new method has been proven to be accurate in detecting the location of the fault that extends into the face.Concealed faults of the internal working panel,as well as the start and end points of the fault,can be detected by this method.Engineering practice has proven that the method is highly reliable,has a highly decisive impact on faults for coal mining,and can be used to guide the safe mining of the working panel. 展开更多
关键词 Working panel Computed tomography Concealed fault Project curve
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Heterogeneous dynamic modeling and simulation of an industrial ethylene oxide reactor experiencing catalyst deactivation 被引量:1
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作者 G. Zahedi A. Lohi 《Journal of Chemistry and Chemical Engineering》 2009年第1期18-26,共9页
This paper investigates steady-state and dynamic simulation of an industrial fixed-bed ethylene oxide reactor. A mathematical heterogeneous one-dimensional model is developed for simulation of reactor performance in t... This paper investigates steady-state and dynamic simulation of an industrial fixed-bed ethylene oxide reactor. A mathematical heterogeneous one-dimensional model is developed for simulation of reactor performance in the presence of long term deactivation of silver/a-alumina catalyst. In this paper, steady-state model of the reactor is solved and results of steady state simulation are fed to dynamic simulator as initial condition. When results of dynamic simulation are compared with industrial reactor data, it is found that there were good agreements between simulation results and industrial data. The proposed model is also validated by industrial process data for a period of 1100 operating days. 展开更多
关键词 SIMULATION dynamic modeling ethylene oxide reactor
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3D structure parameterization design and modeling for irregular structure of stope bottom 被引量:3
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作者 曾庆田 Wang Liguan 《High Technology Letters》 EI CAS 2016年第1期55-62,共8页
Stope mining design is a very important and complicated task in daily production design and technical management of an underground mine.Based on workface technology and human-computer interaction technology,this study... Stope mining design is a very important and complicated task in daily production design and technical management of an underground mine.Based on workface technology and human-computer interaction technology,this study introduces a method of 3D parametric design for the irregular structure of stope bottoms,and focuses on solving technical problems in surface modeling of stope bottom structure.Optimization of the minimum span length algorithm(MSLA) and the shortest path search algorithm(SPSA) is conducted to solve the problem of contour-line based instant modeling of stope bottom structures,which makes possible the 3D parametric design for irregular structure of stope bottom.Implementation process and relevant methods of the proposed algorithms are also presented.Feasibility and reliability of the proposed modeling method are testified in a case study.In practice,the proposed 3 D parameterization design method for irregular structure stope bottom proves to be very helpful to precise 3D parametric design.This method is capable of contributing to improved efficiency and precision of stope design,and is worthy of promotion. 展开更多
关键词 irregular stope bottom structure STOPE structure parameterization design surface reconstruction modeling
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Geodynamic modeling of thermal structure of subduction zones 被引量:8
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作者 LENG Wei MAO Wei 《Science China Earth Sciences》 SCIE EI CAS CSCD 2015年第7期1070-1083,共14页
During subduction processes, slabs continuously have heat exchange with the ambient mantle, including both conduction and advection effects. The evolution of slab thermal structure is one of the dominant factors in co... During subduction processes, slabs continuously have heat exchange with the ambient mantle, including both conduction and advection effects. The evolution of slab thermal structure is one of the dominant factors in controlling physical and chemical property changes in subduction zones. It also affects our understanding of many key geological processes, such as mineral dehydration, rock partial melting, arc volcanism, and seismic activities in subduction zones. There are mainly two ways for studying thermal structure of subduction zones with geodynamic models: analytical model and numerical model. Analytical model provides insights into the most dominant controlling physical parameters on the thermal structure, such as slab age, velocity and dip angle, shear stress and thermal conductivity, etc. Numerical model can further deal with more complicated environments, such as viscosity change in the mantle wedge, coupling process between slabs and the ambient mantle, and incorporation of petrology and mineralogy. When applying geodynamic modeling results to specific subduction zones on the Earth, there are many factors which may complicate the process, therefore it is difficult to precisely constrain the thermal structure of subduction zones. With the development of new quantitative methods in geophysics and geochemistry, we may obtain more observational constraints for thermal structure of subduction zones, thus providing more reasonable explanations for geological processes related to subduction zones. 展开更多
关键词 subduction zones thermal structure analytical model numerical model
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The measurement and model construction of complex permittivity of vegetation
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作者 LI Zhen ZENG JiangYuan +1 位作者 CHEN Quan BI HaiYun 《Science China Earth Sciences》 SCIE EI CAS 2014年第4期729-740,共12页
The complex permittivity of targeted objects is an important factor that influences its microwave radiation and scattering characteristics.In the quantitative research of microwave remote sensing,the study of the diel... The complex permittivity of targeted objects is an important factor that influences its microwave radiation and scattering characteristics.In the quantitative research of microwave remote sensing,the study of the dielectric properties of the vegetation to establish the relationship between its specific physical parameters and complex permittivity is fundamental.In this study,six categories of vegetation samples were collected at the city of Zhangye,a key research area of the Heihe watershed allied telemetry experimental research.The vector network analyzer E8362B was used to measure the complex permittivity of these samples from 0.2 to 20 GHz by the coaxial probe technique.The research focused mainly on the corn leaves,and an empirical model was established between the gravimetric moisture and the real/imaginary parts of complex permittivity at the main frequency points of microwave sensors.Furthermore,the empirical model and the classical Debye-Cole model were compared and verified by the measured data collected from the Huailai County of Hebei Province.The results show that the newly- established empirical model is more accurate and more practical as compared to the traditional Debye-Cole model. 展开更多
关键词 microwave remote sensing dielectric model complex permittivity corn leaves coaxial probe technique
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Heterogeneous destruction of the North China Craton: Coupled constraints from seismology and geodynamic numerical modeling 被引量:3
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作者 Kun WANG Liang ZHAO +1 位作者 Xiaobing XU Jianfeng YANG 《Science China Earth Sciences》 SCIE EI CAS CSCD 2018年第5期515-526,共12页
The prevailing academic view regards mantle flow and the metasomatism triggered by the subduction of the Pacific plate as the cause and mechanism for the destruction of the North China Craton(NCC). However, the geodyn... The prevailing academic view regards mantle flow and the metasomatism triggered by the subduction of the Pacific plate as the cause and mechanism for the destruction of the North China Craton(NCC). However, the geodynamic destruction process remains ambiguous, necessitating detailed information at this stage. Combining the structural images obtained by the exploration of dense seismic arrays and the geodynamic simulations inspired by numerical modeling, this paper arrives at the following conclusions: the spatial variation of the P-and S-wave velocities, as well as their velocity ratio in the mantle transition zone, are key evidences of the nonuniform dehydration of the Pacific plate, the subducted plate induces hot upwellings in the mantle transition zone(MTZ), resulting in the heterogeneous distribution of the melt/fluid beneath the craton, characterized by small scale anomalies in the seismic velocity field, and as revealed by dense seismic array observation, the heterogeneities in the upper mantle structure and deformation are the synthetic results of lithospheric strain localization and the heterogeneous distribution of the melt/fluid. It is known that the nonuniform dehydration of the Pacific slab and the heterogeneous distribution of the melt/fluid have occured in the Cenozoic. If these scenarios could have already occurred in the Early Cretaceous, their interaction with the NCC lithosphere would be the dynamic mechanism for the heterogeneous lithospheric destruction of the NCC. The inference in this study is significant for further reconciling the multidisciplinary evidences in the NCC. 展开更多
关键词 North China Craton Heterogeneity Seismic tomography Numerical modeling
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Simple single field inflation models and the running of spectral index 被引量:1
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作者 GAO Qing GONG YunGui +1 位作者 LI TianJun YE Tian 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2014年第8期1442-1448,共7页
The BICEP2 experiment confirms the existence of primordial gravitational wave with the tensor-to-scalar ratio r = 0 ruled out at 70- level. The consistency of this large value of r with the Planck data requires a larg... The BICEP2 experiment confirms the existence of primordial gravitational wave with the tensor-to-scalar ratio r = 0 ruled out at 70- level. The consistency of this large value of r with the Planck data requires a large negative running n's of the scalar spectral index. Herein we propose two types of the single field inflation models with simple potentials to study the possibility of the consistency of the models with the BICEP2 and Planck observations. One type of model suggested herein is realized in the supergravity model building. These models fail to provide the needed n's even though both can fit the tensor-to-scalar ratio and spectral index. 展开更多
关键词 single field inflation BICEP2 results supergravity model building
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A HYDROMAGNETIC MATHEMATICAL MODEL FOR BLOOD FLOW OF CARREAU FLUID 被引量:2
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作者 NAJMA SALEEM T. HAYAT A. ALSAEDI 《International Journal of Biomathematics》 2014年第1期173-186,共14页
This paper constructs a mathematical model for blood flow through an artery with mild stenosis. Constitutive equations for Carreau fluid are employed in the mathematical modeling. Analysis has been carried out in the ... This paper constructs a mathematical model for blood flow through an artery with mild stenosis. Constitutive equations for Carreau fluid are employed in the mathematical modeling. Analysis has been carried out in the presence of constant magnetic field. Symmetric and asymmetric shapes of stenosis are taken. Governing flow model is computed for the series solution. Whe flow quantities of interest, for instance, axial velocity, pressure gradient, pressure drop, impedance and shear stress at the walls of stenotic artery are described for various pertinent parameters entering into the problem. 展开更多
关键词 Carreau fluid magnetic field stenotic artery.
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Automatic modeling together with numerical simulation of the different-scale microstructures of human tooth enamels
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作者 LIU Tao DENG Qiang +3 位作者 YANG Dan ZHENG Jing LIU JianTao ZHOU ZhongRong 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2017年第9期1381-1399,共19页
The present paper aims to develop an automatical strategy for generating accurate different-scale microstructures of human tooth enamels(HTEs),and to elaborate a numerical scheme for simulating their elastic responses... The present paper aims to develop an automatical strategy for generating accurate different-scale microstructures of human tooth enamels(HTEs),and to elaborate a numerical scheme for simulating their elastic responses.At first,the strong governing formulation of these microstructures is briefly constructed,and the relevant weak formulation is then deduced based on the virtual work theorem.Afterwards,a subdividing approach,which cuts the elements intercepted by the interfaces between distinct phases automatically,is established with the aid of the level set method(LSM),and the discrete counterpart of the governing formula is obtained by combining the weak formulation derived and a discretized model.To be noted,two silent merits are found when the elaborated strategy is applied:(1) the continents constituting the microstructures of different scales can be arbitrarily-shaped and conveniently reproduced;(2) the periodic boundary condition commonly employed can be enforced on the external surfaces of representative unit cells(RUCs) with no difficulty.Besides,a boundary value problem(BVP) involving a simplified HTE nanostructure is designed,analytically solved,and hereafter applied to verify the correctness of the proposed strategy.It is observed that both the displacement and stress predictions by the computational approach are in good agreement with the relevant analytical results irrespective of the material combinations applied.Eventually,discussions are made on the influence of material organizations of both the 2D and 3D HTE microstructures at the ultrastructural and repeated rod levels,and some concluding remarks are drawn. 展开更多
关键词 tooth enamel level set method automatic modefing numerical simulation MICROSTRUCTURE
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