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德国吕特案判决五十年来的社会影响 被引量:10
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作者 曾尔恕 高仰光 《河南省政法管理干部学院学报》 2009年第3期41-49,共9页
1958年1月15日德国联邦宪法法院对吕特案做出的判决,曾经引起德国社会极大的关注。长期以来,该判决确立的一系列重要原则,包括宪法的适用效力可对私法产生间接的辐射效应、客观价值秩序可作为基本权利与私法益发生冲突时的衡量标准、表... 1958年1月15日德国联邦宪法法院对吕特案做出的判决,曾经引起德国社会极大的关注。长期以来,该判决确立的一系列重要原则,包括宪法的适用效力可对私法产生间接的辐射效应、客观价值秩序可作为基本权利与私法益发生冲突时的衡量标准、表达自由在基本权利中居于基础性地位等等,已经成为法学界和司法实践部门的共识。50年后的今天,德国法学家对这一判决的历史价值仍表现出持续关注,并做出更为系统的评价。吕特案判决的贡献在于建立了一个普遍适用于战后西方国家的用于解决基本权利冲突的范式。 展开更多
关键词 间接的第三影响 客观价值秩序 交互作用 基本权利冲突平衡
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如何在《品德与生活》课中创设情境
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作者 韩静 《生活教育》 2014年第S1期16-16,共1页
《品德与生活》是以儿童的生活为基础,以培养品德良好、乐于探究、热爱生活的儿童为目标的活动型综合课程。课程的活动以落实课程目标为目的,围绕教材主题,以儿童的年龄特征、经验背景和学习兴趣等为设计基础,将知识、技能教育的要求与... 《品德与生活》是以儿童的生活为基础,以培养品德良好、乐于探究、热爱生活的儿童为目标的活动型综合课程。课程的活动以落实课程目标为目的,围绕教材主题,以儿童的年龄特征、经验背景和学习兴趣等为设计基础,将知识、技能教育的要求与情感、态度、价值观的培养融为一体。为此就需要我们采用一种不显露的间接方式,对儿童心理及行为进行暗示和影响,用"无意识"导引"有意识",一步步达到既定的教育目标。 展开更多
关键词 《品德与生活》 情境教学 活动型 综合课程 热爱生活 儿童心理 年龄特征 经验背景 教育目标 间接方
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市场化生态补偿意识结构对市场化生态补偿机制培育绩效的影响研究 被引量:4
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作者 钟成林 胡雪萍 陈竹 《重庆社会科学》 CSSCI 2020年第1期68-81,共14页
建立市场化、多元化生态补偿机制是生态补偿机制体系改革的必由之路,从非正式制度视角出发,以系统论的思想为指引,沿着“要素—结构—功能”的分析范式,对不同补偿主体间的市场化生态补偿意识结构对市场化生态补偿机制培育绩效的影响进... 建立市场化、多元化生态补偿机制是生态补偿机制体系改革的必由之路,从非正式制度视角出发,以系统论的思想为指引,沿着“要素—结构—功能”的分析范式,对不同补偿主体间的市场化生态补偿意识结构对市场化生态补偿机制培育绩效的影响进行系统探讨,研究结果表明:第一,直接补偿方内部的市场化生态补偿意识结构对市场化生态补偿机制的培育绩效具有重要影响,但在市场化生态补偿机制体系的不同发展阶段,其对应的最优市场化生态补偿意识结构存在显著的差别。具体而言,在市场化生态补偿机制体系的初级发展阶段,补偿方超前发展的“非均衡市场化生态补偿意识结构”最有利于促进市场化生态补偿机制培育绩效的增长,而对处于加速和稳定发展阶段的市场化生态补偿机制体系而言,受偿方超前发展的“非均衡市场化生态补偿意识结构”和补偿与受偿方协调发展的“均衡结构”更有利于推动市场化生态补偿机制培育绩效的增长。第二,直接与间接补偿方之间的市场化生态补偿意识结构也是影响市场化生态补偿机制培育绩效的关键,随着二者均衡程度的不断提升,其对市场化生态补偿意识培育绩效的促进作用也在不断增长。 展开更多
关键词 直接补偿 间接补偿 市场化生态补偿意识 市场化生态补偿机制 培育绩效
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Evaluation of fatigue property of asphalt mixtures based on digital image correlation method 被引量:6
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作者 蒋继望 倪富健 《Journal of Southeast University(English Edition)》 EI CAS 2017年第2期216-223,共8页
In order to evaluate the accumulative of tensile strain in the process of fatigue failure, the digital image correlation(DIC) method was utilized to characterize the tensile strain development of asphalt mixtures in... In order to evaluate the accumulative of tensile strain in the process of fatigue failure, the digital image correlation(DIC) method was utilized to characterize the tensile strain development of asphalt mixtures in the indirect tensile(IDT)fatigue test. Three typical hot mix asphalt(HMA) mixtures with varying nominal maximum aggregate sizes were tested at four stress levels. During the tests, a digital camera was mounted to capture the displacement/strain fields on the surface of the specimen by recording the real-time change of speckle position. The results indicate that the vertical deformation curve can barely evaluate the fatigue performance accurately due to the non-negligible local deflection near the loading point. However, based on the analysis of strain fields,the optimal fatigue cracking zone is determined as a 40mm×40mm rectangle in the middle of the specimens. Also, a reasonable fatigue model based on the tensile strain curves calculated by DIC is proposed to predict the fatigue lives of asphalt mixtures. 展开更多
关键词 asphalt mixtures fatigue behavior digital image correlation indirect tensile fatigue test
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Evaluation of WRF Model Hydrometeors Based on TMI Observations Using an Indirect Method 被引量:2
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作者 FU Yun-Fei HENG Zhi-Wei +2 位作者 LI Tian-Yi SHEN Zhong-Ping WANG Yu 《Atmospheric and Oceanic Science Letters》 2012年第1期32-37,共6页
Using a microwave radiative transfer (MWRT) model with microwave brightness temperatures (TBs) observed from the Tropical Rainfall Measuring Mission (TRMM) Microwave Imager (TMI), an indirect approach evaluate... Using a microwave radiative transfer (MWRT) model with microwave brightness temperatures (TBs) observed from the Tropical Rainfall Measuring Mission (TRMM) Microwave Imager (TMI), an indirect approach evaluated hydrometeors generated from the Weather Research and Forecasting (WRY) model in the process of CHABA typhoon in August 2004. This study compares the simulated TBs generated from the microwave radioactive transfer model connected to the WRF model with the observed TBs derived from TMI and analyzes the differences between these TBs. The results indicate that the WRF model underestimates the amount and area of liquid and ice hydrometeors inside the typhoon center. The results also indicate relatively better agreement between the simulated and the observed TBs in the vertical polarization than in the horizontal polarization. 展开更多
关键词 WRF hydrometeors TMI microwave radiative transfer
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On the Connectivity of One-dimensional Vehicular Ad Hoc Networks 被引量:2
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作者 Liao Jianxin Li Yuanzhen +2 位作者 Li Tonghong Zhu Xiaomin Zhang Lei 《China Communications》 SCIE CSCD 2010年第2期65-70,共6页
In this paper we analyze connectivity of one-dimensional Vehicular Ad Hoc Networks where vehicle gap distribution can be approximat- ed by an exponential distribution. The probabilities of Vehicular Ad Hoc Network con... In this paper we analyze connectivity of one-dimensional Vehicular Ad Hoc Networks where vehicle gap distribution can be approximat- ed by an exponential distribution. The probabilities of Vehicular Ad Hoc Network connectivity for difference cases are derived. Furthermore we proof that the nodes in a sub-interval [z1, z1 + △z] of interval [0,z],z 〉 0 where all the nodes are independently uniform distributed is a Poisson process and the relationship of Vehicle Ad hoc Networks and one-dimensional Ad Hoc networks where nodes independently uniform distributed in [zl, z1 + △z] is explained. The analysis is validated by computing the probability of network connectivity and comparing it with the Mont Carlo simu- lation results. 展开更多
关键词 Intelligent Transportation Systems (ITS) CONNECTIVITY Vehicular Ad Hoc Networks onedimensional Ad Hoc Networks
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Monitoring open water area changes in a small tarn using historical orthophotomaps and a historical bathymetric map:a case study of the Litworowy Staw lake,the High Tatras
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作者 Juraj KAPUSTA Frantisek PETROVIC Juraj HRESKO 《Journal of Mountain Science》 SCIE CSCD 2018年第10期2089-2102,共14页
According to scientific evidence in general, the disappearance of the Tatras tarns as a result of external geomorphological processes has been accepted since the long term analyses of lake sediments and peat bogs, geo... According to scientific evidence in general, the disappearance of the Tatras tarns as a result of external geomorphological processes has been accepted since the long term analyses of lake sediments and peat bogs, geomorphological mapping, geophysical measurements(– all indirect methods). It is paradoxical that the direct cartographic evidence of such changes has not existed until now. In this paper, we evaluate shore line changes of the small mountain glacial lake in the High Tatras-Litworowy Staw lake using a multitemporal analysis of a series of historical orthophotomaps and a historical map. Over the last 100 years, the tarn has lost 46.4% of open water level area. Significant visual changes were caused by vegetation growth of Carex species(sedges) on the water's surface. The accumulation of fine sediments and dead plant residues in the tarn basin create suitable conditions for this process, all together causing the tarn to become more shallow. 展开更多
关键词 Vegetation growth of tarns Monitoring of changes Alpine lakes The High Tatras The Litworowy Staw lake
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Similarity Reductions of(2+1)-Dimensional Multi-component Broer-Kaup System 被引量:1
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作者 DONG Zhong-Zhou CHEN Yong WANG Ling 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第10期803-808,共6页
Painleve property of the (2+1)-dimensional multi-component Broer-Kaup (BK) system is considered by using the standard Weiss Kruskal approaches. Applying the Clarkson and Kruskal (CK) direct method to the (2+1... Painleve property of the (2+1)-dimensional multi-component Broer-Kaup (BK) system is considered by using the standard Weiss Kruskal approaches. Applying the Clarkson and Kruskal (CK) direct method to the (2+1)- dimensional multi-component BK system, some types of similarity reductions are obtained. By solving the reductions, one can get the solutions of the (2+1)-dimensional multi-component BK system. 展开更多
关键词 multi-component Broer Kaup system similarity reduction direct method
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Boundary Control of Coupled Nonlinear Three Dimensional Marine Risers 被引量:2
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作者 T. L. Nguyen K. D. Do J. Pan 《Journal of Marine Science and Application》 2013年第1期72-88,共17页
This paper presents a design of boundary controllers implemented at the top end for global stabilization of a marine riser in a three dimensional space under environmental loadings. Based on the energy approach, nonli... This paper presents a design of boundary controllers implemented at the top end for global stabilization of a marine riser in a three dimensional space under environmental loadings. Based on the energy approach, nonlinear partial differential equations of motion, including bending-bending and longitudinal-bending couplings for the risers are derived. The couplings cause mutual effects between the three independent directions in the riser's motions, and make it difficult to minimize its vibrations. The Lyapunov direct method is employed to design the boundary controller. It is shown that the proposed boundary controllers can effectively reduce the riser's vibration. Stability analysis of the closed-loop system is performed using the Lyapunov direct method. Numerical simulations illustrate the results. 展开更多
关键词 marine risers boundary control nonlinear dynamics equations of motion nonlinear couplings
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An Improved Control Vector Iteration Approach for Nonlinear Dynamic Optimization (Ⅰ) Problems Without Path Constraints
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作者 胡云卿 刘兴高 薛安克 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2012年第6期1053-1058,共6页
This study proposes an efficient indirect approach for general nonlinear dynamic optimization problems without path constraints. The approach incorporates the virtues both from indirect and direct methods: it solves t... This study proposes an efficient indirect approach for general nonlinear dynamic optimization problems without path constraints. The approach incorporates the virtues both from indirect and direct methods: it solves the optimality conditions like the traditional indirect methods do, but uses a discretization technique inspired from direct methods. Compared with other indirect approaches, the proposed approach has two main advantages: (1) the discretized optimization problem only employs unconstrained nonlinear programming (NLP) algorithms such as BFGS (Broyden-Fletcher-Goldfarb-Shanno), rather than constrained NLP algorithms, therefore the computational efficiency is increased; (2) the relationship between the number of the discretized time intervals and the integration error of the four-step Adams predictor-corrector algorithm is established, thus the minimal number of time intervals that under desired integration tolerance can be estimated. The classic batch reactor problem is tested and compared in detail with literature reports, and the results reveal the effectiveness of the proposed approach. Dealing with path constraints requires extra techniques, and will be studied in the second paper. 展开更多
关键词 nonlinear dynamic optimization control vector iteration DISCRETIZATION
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Square Wave Voltammetric Behavior of N,N-DiethyI-P-Nitroso Aniline an Indirect Method for Determination of Chlorpheniramin Maleate, Application of Pharmaceutical Formulations
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作者 Saddalah Tawfeeq Sulaiman Mohammed Ameen Abdullah Al-Imam Anfal Raad Mahmood 《Journal of Chemistry and Chemical Engineering》 2013年第4期292-298,共7页
The electrochemical behavior of N,N-diethyl-p-nitroso aniline was carried out using SWV (square wave voltammetric) at HMDE. A well defined reduction peak was observed at (-0.214) volt versus the reference electro... The electrochemical behavior of N,N-diethyl-p-nitroso aniline was carried out using SWV (square wave voltammetric) at HMDE. A well defined reduction peak was observed at (-0.214) volt versus the reference electrode (Ag/AgC1/sat. KCI), calibration curve was constructed in phosphate buffer (pH = 7.0), the relationship is linear within the concentration range 1.283 × 10.5 M - 3.66 × 10.5 M with the correlation (R = 0.9923). The serial addition ofCPM (chlorpheniramine maleate) leads to the decrease in the reduction current peak (Ip), quantitatively, the plot of Alp (Ip - Ip) where, Ip: Peak current of N, N-diethyl-p-nitroso aniline alone, lp: peak current of N,N-diethyl-p-nitroso aniline in the presence of CPM, versus concentration is linear within the concentration range 0.984 × 10-6 M - 9.756 × 10-6 M, the correlation coefficient was 0.9954. The method was successfully applied to determine CPM in different types of pharmaceutical formulations, and compared with standard method from British Pharmacopeia [1]. 展开更多
关键词 VOLTAMMETRIC chlorpheniramin maleate DETERMINATION pharmaceutical formulations.
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Coordinated scheduling model for intermodal transit hubs based on GI/M^K/1 queuing system
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作者 贾洪飞 曹雄赳 杨丽丽 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第8期3247-3256,共10页
Coordinated scheduling of multimode plays a pivotal role in the rapid gathering and dissipating of passengers in transport hubs. Based on the survey data, the whole-day reaching time distribution at transfer points of... Coordinated scheduling of multimode plays a pivotal role in the rapid gathering and dissipating of passengers in transport hubs. Based on the survey data, the whole-day reaching time distribution at transfer points of passengers from the dominant mode to the connecting mode was achieved. A GI/M K/1 bulk service queuing system was constituted by putting the passengers' reaching time distribution as the input and the connecting mode as the service institution. Through queuing theory, the relationship between average queuing length under steady-state and headway of the connecting mode was achieved. By putting the minimum total cost of system as optimization objective, the headway as decision variable, a coordinated scheduling model of multimode in intermodal transit hubs was established. At last, a dynamic scheduling strategy was generated to cope with the unexpected changes of the dominant mode. The instance analysis indicates that this model can significantly reduce passengers' queuing time by approximately 17% with no apparently increase in departure frequency, which provides a useful solution for the coordinated scheduling of different transport modes in hubs. 展开更多
关键词 traffic engineering coordinated scheduling queuing theory intermodal transit hub HEADWAY
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The Friction Welding Method with Intermediate Material
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作者 Ryoji Tsujino Takeshi Higashi +2 位作者 Kiyoshi Matsuura Yoshiaki Ueda Manabu Iguchi 《Journal of Mechanics Engineering and Automation》 2013年第11期677-684,共8页
For the purpose of improving the defects of the conventional friction welding method, the new friction welding technology has been examined. That is, the aim of the study is producing the joint of dissimilar materials... For the purpose of improving the defects of the conventional friction welding method, the new friction welding technology has been examined. That is, the aim of the study is producing the joint of dissimilar materials evaluated to be difficult for friction welding and non-round shape joints. In this process, after the intermediate material generates the independent friction heat on every side of the specimens, it is removed instantaneously and upset process begins to weld the specimens for a joint. In this study, similar joint of A2017 aluminum alloy and one of S45C steel were examined. On the other hand, thermal elastic-plastic stress analysis by the finite element method was carried out using ANSYS mechanical. 展开更多
关键词 Friction welding JOINT intermediate material aluminum alloy steel.
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Effects of Aerosols on Fogs Observed in the North China Plain
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作者 ZHANG Jia-Wei XUE Hui-Wen +2 位作者 DENG Zhao-Ze ZHAO Chun-Sheng ZHANG Qing-Hong 《Atmospheric and Oceanic Science Letters》 CSCD 2013年第2期79-83,共5页
Fog simulation and prediction are becoming increasingly important in China because of the great impact of fog on traffic and other human activities. More studies are needed to have a better understanding of the format... Fog simulation and prediction are becoming increasingly important in China because of the great impact of fog on traffic and other human activities. More studies are needed to have a better understanding of the formation mechanisms and life cycles of fogs. This work uses data from two fog cases observed in Wuqing, Tianjin, in 2009. The data include aerosol size distribution, fog droplet size distribution, fog liquid water content, and meteorological properties. The results show that increasing aerosols can increase the number concentration of fog droplets and decrease fog droplet size, which is consistent with the first aerosol indirect effect found in clouds. It is also shown that increased aerosols can lead to lower visibility in fogs. This work demonstrates that the first aerosol indirect effect plays an important role in fogs. 展开更多
关键词 FOG microphysical properties aerosol indi-rect effect VISIBILITY
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A unified approach of PID controller design for unstable processes with time delay
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作者 Ashraf RAZA Md Nishat ANWAR 《Journal of Central South University》 SCIE EI CAS CSCD 2020年第9期2643-2661,共19页
This paper addresses a unified approach of the PID controller design for low as well as high order unstable processes with time delay.The design method is based on the direct synthesis(DS)approach to achieve the enhan... This paper addresses a unified approach of the PID controller design for low as well as high order unstable processes with time delay.The design method is based on the direct synthesis(DS)approach to achieve the enhanced load disturbance rejection.To improve the servo response,a two-degree of freedom control scheme has been considered.A suitable guideline has been provided to select the desired reference model in the DS scheme.The direct synthesis controller has been approximated to the PID controller using the frequency response matching method.A consistently better performance has been obtained in comparison with the recently reported methods. 展开更多
关键词 unstable process maximum sensitivity time delay higher order process direct synthesis method frequency response matching
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The Application of the Bursa Model to the Integration of GPS Time Series
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作者 Wang Ziyan Lin Shu +2 位作者 Wu Yanqiang Zhan Wei Ding Xiaoguang 《Earthquake Research in China》 2014年第1期46-53,共8页
In this paper the method of combining the Bursa model to integrate several regional time series to derive a unified global time series is introduced in detail. Then,an example taken from CMONOC( Crustal Movement Obser... In this paper the method of combining the Bursa model to integrate several regional time series to derive a unified global time series is introduced in detail. Then,an example taken from CMONOC( Crustal Movement Observation Network of China) is used to test if the combination method is feasible. The precision of the integrated time series with the combination method is below 2mm( North),3mm( East),that is same as the results from the direct integration of the time series and the precision of the baseline is below 6mm,which proves that the combination method can be used to integrate several regional time series to derive a unified global time series. 展开更多
关键词 GPS time series INTEGRATION Bursa model
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Soil Bulk Density Estimation Methods: A Review 被引量:5
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作者 Ahmed Abed Gatea AL-SHAMMARY Abbas Z.KOUZANI +3 位作者 Akif KAYNAK Sui Yang KHOO Michael NORTON Will GATES 《Pedosphere》 SCIE CAS CSCD 2018年第4期581-596,共16页
Measurement of soil bulk density is important for understanding the physical, chemical, and biological properties of soil. Accurate and rapid soil bulk density measurement techniques play a significant role in agricul... Measurement of soil bulk density is important for understanding the physical, chemical, and biological properties of soil. Accurate and rapid soil bulk density measurement techniques play a significant role in agricultural experimental research. This review is a comprehensive summary of existing measurement methods and evaluates their advantages, disadvantages, potential sources of error,and directions for future development. These techniques can be broadly categorised as direct and indirect methods. Direct methods include core, clod, and excavation sampling, whereas indirect methods include the radiation and regression approaches. The core method is most widely used, but it is time consuming and difficult to use for sampling multiple soil depths. The size of the coring cylinder used, operator experience, sampling depth, and in-situ soil moisture content significantly affect its accuracy. The clod method is suitable for use with heavy clay soils, and its accuracy is dependent on equipment calibration, drying time, and operator experience, but the process is complicated and time consuming. Excavation techniques are most commonly used to evaluate the bulk density of forest soils, but have major limitations as they cannot be used in soils with large pores and their measurement accuracy is strongly influenced by soil texture and the type of analysis selected. The indirect methods appear to have greater accuracy than direct approaches, but have higher costs, are more complex, and require greater operator experience. One such approach uses gamma radiation, and its accuracy is strongly influenced by soil depth. Regression methods are economical as they can make indirect measurements, but these depend on good, quality data of soil texture and organic matter content and geographical and climatic properties. Also, like most of the other approaches, its accuracy decreases with sampling depth. 展开更多
关键词 measurement accuracy direct measurement methods gamma radiation indirect measurement methods regression methods sampling depth soil properties
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Heat transfer blockage in small scale combustion of polymers 被引量:1
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作者 JIANG FengHui QI HaiYing +1 位作者 J. L. de RIS M. M. KHAN 《Science China(Technological Sciences)》 SCIE EI CAS 2011年第9期2457-2467,共11页
Flame heat transfer blockage occurs as fuel vapors, soot and products of combustion near a burning fuel surface block much of the heat feedbacks (including external radiative heat flux) to the fuel surface of a burn... Flame heat transfer blockage occurs as fuel vapors, soot and products of combustion near a burning fuel surface block much of the heat feedbacks (including external radiative heat flux) to the fuel surface of a burning object. Blockage clearly affects burning rates and heat release rates of fires. This needs to be included when calculating flame heat transfer in fire growth models. An understanding of bttrning of materials in small scale fires is of broad and vital importance for predicting their burning performance in large scale fires. The blockage phenomenon was clearly observed and quantitatively measured in experiments that took advantage of the unique capability of the Fire Propagation Apparatus (FPA) of being able to vary the ambient oxygen concentrations. An indirect measurement approach was established which provides an experimental understanding of the concept of the blockage. The measurements were further explained by a one-dimensional steady-state model of a diffusion flame, which focuses on the radiant absorption and emission by the gas-soot mixture of flames. The theoretical model provides a greater understanding of the fundamental knowledge of the blockage. The overall heat transfer blockage factor can be up to 0.3 -0.4 for PMMA and POM. The factor and its components are nearly independent of the external radiation, but increase as the ambient oxygen concentration rises. A comparison between experimental data and model prediction shows a good agreement. 展开更多
关键词 polymer flame heat transfer blockage gas-soot mixture gas absorption and emission external radiant heat flux oxygen concentration
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Flexible cone impact dynamics based on space probe-cone docking mechanism 被引量:2
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作者 HAN Wei HUANG YiYong +1 位作者 CHEN XiaoQian ZHANG Xiang 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2014年第1期128-137,共10页
The theoretical model of docking impact dynamics based on flexible cone is presented according to Foppl-von Karman's non-linear differential equations and Hertz contact theory. Finite diflerence technique is used to ... The theoretical model of docking impact dynamics based on flexible cone is presented according to Foppl-von Karman's non-linear differential equations and Hertz contact theory. Finite diflerence technique is used to solve this theoretical model. Results of the theoretical model show good agreement with the experimental and ANSYS/LS-DYNA simulation results. In ad- dition, the influence of flexible cone parameters on impact process is discussed based on theoretical model systemically. 展开更多
关键词 autonomous RENDEZVOUS SERVICING simulation soft-docking large deflections of thin flat plates
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A two-scale contact model for collisions between blocks in CDEM 被引量:5
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作者 LI ShiHai TANG DeHong WANG Jie 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2015年第9期1596-1603,共8页
Contact detection between interacting blocks is of great importance to discontinuity-based numerical methods, such as DDA, DEM, and NMM. A rigorous contact theory is a prerequisite to describing the interactions of mu... Contact detection between interacting blocks is of great importance to discontinuity-based numerical methods, such as DDA, DEM, and NMM. A rigorous contact theory is a prerequisite to describing the interactions of multiple blocks. Currently, the penalty method, in which mathematical springs with high stiffness values are employed, is always used to calculate the contact forces. High stiffness values may cause numerical oscillations and limit the time step. Furthermore, their values are difficult to identify. The intention of this study is to present a two-scale contact model for the calculation of forces between colliding blocks. In this new model, a calculation step taken from the moment of contact will be divided into two time stages: the free motion time stage and the contact time stage. Actually, these two time stages correspond to two real physical processes. Based on this, we present a new numerical model that is intended to be more precise and useful in calculating the contact forces without mathematical springs. The propagation of the elastic wave during collision is of a characteristic length, which determines the volume of material involved in the contact force calculation. In conventional contact models, this range is always regarded as the length of one element, which may lead to an inaccurate calculation of contact forces. In fact, the real scale of this range is smaller than the length of a single element, and subdivided elements, which are refined according to the characteristic length and are presented in the new contact model. 展开更多
关键词 TWO-SCALE contact model COLLISION elastic wave element subdivision
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