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Application of 3-D Geoscience Modeling Technology for the Estimation of Solid Mineral Reserves 被引量:15
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作者 PAN Mao LI Jun +1 位作者 WANG Zhangang JIN Jiangjun 《Acta Geologica Sinica(English Edition)》 SCIE CAS CSCD 2009年第3期655-660,共6页
Applying new approaches, methods, and technologies for the estimation of reserves can effectively improve the efficiency and accuracy of assessments of solid mineral resources. After analyzing the development of 3-D g... Applying new approaches, methods, and technologies for the estimation of reserves can effectively improve the efficiency and accuracy of assessments of solid mineral resources. After analyzing the development of 3-D geoscience modeling technology (3-D GMT), this paper discusses the application of 3-D GMT for the estimation of solid mineral reserves, emphatically introducing its workflow and two key technologies, 3-D orebody surface modeling, and property modeling. Moreover, the paper analyzes the limitations of traditional methods, such as the section method and geological block method, and points out the advantages of 3-D GMT: building more accurate 3-D orebody models, expressing the internal inhomogeneous attributes of an orebody, reducing the potential for errors in the estimation of reserves, and implementing dynamic estimations of reserves. 展开更多
关键词 3-d geoscience modeling solid mineral resource estimation of reserves surface modeling property modeling
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Discrete Element with Flexible Connector for Dynamic Analysis of 3-D Beam Structures 被引量:2
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作者 Cheng, BR Zheng, ZC Hou, ZC 《China Ocean Engineering》 SCIE EI 1997年第1期11-20,共10页
Combined multi-body dynamics with structural dynamics, a new discrete element with flexible connector, which is applicable for 3-D beam structures, is developed in this paper. Both the generalized elastic coefficient ... Combined multi-body dynamics with structural dynamics, a new discrete element with flexible connector, which is applicable for 3-D beam structures, is developed in this paper. Both the generalized elastic coefficient matrix of the flexible connector and the mass matrix of discrete element may be off-diagonal in a general case. The zero-length rigid element is introduced to simulate the node at which multiple elements are jointed together. It may also be effective when the axes of adjacent elements are not in the same line. The examples for eigenvalue calculation show that the model is successful. It can be extended to the geometric nonlinear response analysis. 展开更多
关键词 discrete element flexible connector zero-length rigid element 3-d beam structures dynamic analysis
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A Comparative Study on the Truck Frame Stiffness with Solid and Beam Element FEA Models
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作者 Shengyong Zhang Zack Gertzen +1 位作者 Adam Manering Cristian Jongkind 《Modern Mechanical Engineering》 2023年第3期55-61,共7页
Truck frames should be designed and fabricated with enough rigidity to avoid excessive deflections. Finite element analysis (FEA) plays an important role in all stages of frame designs. While being accurate, 3D solid ... Truck frames should be designed and fabricated with enough rigidity to avoid excessive deflections. Finite element analysis (FEA) plays an important role in all stages of frame designs. While being accurate, 3D solid element FEA models are built upon frame configuration details which are not feasible in the preliminary design stage, partially because of limited available design data of frames and heavy computation costs. This research develops 1D beam element FEA models for simulating frame structures. In this paper, the CAD model of a truck frame is first created. The solid element FEA analysis, which is adopted as the baseline in this study, is subsequently conducted for the stiffness of the frame, Next, beam element FEA analysis is performed for validating the feasibility of the beam element FEA model by comparing the results from the solid and beam element FEA models. It is found that the beam element FEA model can predict the frame stiffness with acceptable accuracy and reduce the computation cost significantly. 展开更多
关键词 FEA Truck Frame Structural Stiffness 3D solid element 1D Beam element
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Method of Precision Control of 3-D Solid Discretization Based on the Second-Order Osculating Surface
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作者 万小利 刘淑艳 +1 位作者 杨梦辰 汪虹 《Journal of Beijing Institute of Technology》 EI CAS 2003年第2期183-185,共3页
A discretization precision control method based on the second order osculating surface is proposed. The discretization precision of 3 D solid is controlled according to the error between the discrete solid surface a... A discretization precision control method based on the second order osculating surface is proposed. The discretization precision of 3 D solid is controlled according to the error between the discrete solid surface and its second order osculating surface. The global maximal error has been gotten after analyzing all the extremums of the error function. It can be used in controlling and optimizing the discretization precision of 3 D solid in computer 3 D modeling and NC milling path generation. 展开更多
关键词 3-d solid DISCRETIZATION precision control osculating surface
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Characteristics of an Axial-flux Permanent Magnet Synchronous Machine with Contra-rotating Rotors under Unbalanced Load Condition from 3-D Finite Element Analysis 被引量:1
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作者 Yichang Zhong Shoudao Huang +1 位作者 Derong Luo Xuan Wu 《CES Transactions on Electrical Machines and Systems》 2018年第2期220-225,共6页
During recent years,the axial-flus PMSM with contra-rotating rotors has become a hot topic in academic research due to its high efficiency and simple structure.However,its back-EMF may be distorted under the condition... During recent years,the axial-flus PMSM with contra-rotating rotors has become a hot topic in academic research due to its high efficiency and simple structure.However,its back-EMF may be distorted under the condition of different angular positions.This paper investigates characteristics of the novel motor used for contra-propeller driving.Considering the torque ripple and current oscillation under unbalanced load condition,this paper analyzes the distorted back-EMF of the machine when its two rotors get different angular positions during rotating.The analysis results are validated by transient-magnetic 3-D FEA method,which the 3-D FEA software is used to model this motor and transient simulations are carried out to obtain its magnetic characteristic and main performances.A main focus is put on the back-EMF characteristic with different angular positions between the two rotors.Furthermore,the characteristic of torque production under unbalanced load is investigated.Finally,a prototype motor is fabricated to validate the analyses of this paper. 展开更多
关键词 3-d finite element analysis(FEM) back electromagnetic force(back-EMF) contra-rotating rotors permanent magnet machines.
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3-D Modelling of the Confederation Bridge Using Data of Full Scale Tests
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作者 Lan Lin 《Open Journal of Civil Engineering》 2013年第3期18-25,共8页
Long-span bridges are special structures that require advanced analysis techniques to examine their performance. This paper presents a procedure developed to model the Confederation Bridge using 3-D beam elements. The... Long-span bridges are special structures that require advanced analysis techniques to examine their performance. This paper presents a procedure developed to model the Confederation Bridge using 3-D beam elements. The model was validated using the data collected before the opening of the bridge to the public. The bridge was instrumented to conduct fullscale static and dynamic tests. The static tests were to measure the deflection of the bridge pier while the dynamic tests to measure the free vibrations of the pier due to a sudden release of the static load. Confederation Bridge is one of the longest reinforced concrete bridges in the world. It connects the province of Prince Edward Island and the province of New Brunswick in Canada. Due to its strategic location and vital role as a transportation link between these two provinces, it was designed using higher safety factors than those for typical highway bridges. After validating the present numerical model, a procedure was developed to evaluate the performance of similar bridges subjected to traffic and seismic loads. It is of interest to note that the foundation stiffness and the modulus of elasticity of the concrete have significant effects on the structural responses of the Confederation Bridge. 展开更多
关键词 3-d Numerical Modeling Finite element Technique STATIC TESTS Dynamic TESTS ACCELERATION Time History FOURIER Analysis Full Scale Test SEISMIC Evaluation Confederation BRIDGE
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用于高温和高频领域的PbTiO_3基陶瓷的研究 被引量:4
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作者 肖洪地 王成建 马洪磊 《压电与声光》 CSCD 北大核心 2002年第4期280-282,共3页
主要研究用于高温和高频领域的 Pb Ti O3基陶瓷的制备工艺、主要性质、显微结构、电导机制及其应用。 Pb Ti O3基陶瓷的性质是与此种陶瓷的制备工艺 ,显微结构和电导机制紧密相关的。
关键词 压电陶瓷 制备工艺 掺杂元素 固溶体 钛酸铅 电子材料
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掺杂对BaFeO_(3-δ)基固体氧化物燃料电池阴极材料的影响 被引量:1
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作者 张濒泽 苏明超 +1 位作者 唐凯斌 夏长荣 《陶瓷学报》 CAS 北大核心 2022年第5期742-758,共17页
固体氧化物燃料电池是一种清洁、高效的能量转换装置,其工作效率受阴极的氧还原反应制约,发展高性能阴极材料成为提高固体氧化物燃料电池电化学性能的关键。Fe基钙钛矿氧化物BaFeO_(3−δ)具有较高的氧传输能力,由于BaFeO_(3−δ)在其工... 固体氧化物燃料电池是一种清洁、高效的能量转换装置,其工作效率受阴极的氧还原反应制约,发展高性能阴极材料成为提高固体氧化物燃料电池电化学性能的关键。Fe基钙钛矿氧化物BaFeO_(3−δ)具有较高的氧传输能力,由于BaFeO_(3−δ)在其工作温度内存在相变,因而对热匹配、电导率、电催化性能有不利影响。基于钙钛矿结构特点,通过元素掺杂可以将BaFeO_(3−δ)稳定在立方相结构避免相变的发生。综述了A位、B位元素掺杂对BaFeO_(3−δ)基阴极材料的容忍因子、晶体结构、电导率、氧的非化学计量δ、热膨胀系数和电化学性能等的影响。 展开更多
关键词 固体氧化物燃料电池 阴极材料 钙钛矿氧化物 铁酸钡 元素掺杂
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Scattering of seismic waves by three-dimensional large-scale hill topography simulated by a fast parallel IBEM 被引量:1
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作者 Liu Zhongxian Shang Ce +2 位作者 Huang Lei Liang Jianwen Li Jie 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2020年第4期855-873,共19页
To solve seismic wave scattering by a large-scale three-dimensional(3-D) hill topography, a fast parallel indirect boundary element method(IBEM) is developed by proposing a new construction method for the wave field, ... To solve seismic wave scattering by a large-scale three-dimensional(3-D) hill topography, a fast parallel indirect boundary element method(IBEM) is developed by proposing a new construction method for the wave field, modifying the generalized minimum residual(GMRES) algorithm and constructing an Open MP plus MPI parallel model. The validations of accuracy and efficiency show that this method can solve 3-D seismic response of a large-scale hill topography for broadband waves, and overcome the weakness of large storage and low efficiency of the traditional IBEM. Based on this new algorithm architecture, taking the broadband scattering of plane SV waves by a large-scale Gaussian-shaped hill of thousands-meters height as an example, the influence of several important parameters is investigated, including the incident frequency, the incident angle and the height-width and length-width ratio of the hill. The numerical results illustrate that the amplification effect on the ground motion by a near-hemispherical hill is more significant than the narrow hill. For low-frequency waves, the scattering effect of the higher hill is more pronounced, and there is only a single peak near the top of the hill. However, for high-frequency waves, rapid spatial variation of displacement amplitude appears on the hill surface. 展开更多
关键词 scattering of seismic waves 3-d hill topography indirect boundary element method(IBEM) parallel calculation
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TEMPORAL AND SPATIAL DISCRETIZATION ON QUASI-3-D GROUNDWATER FINITE ELEMENT MODELLING TO AVOID SPURIOUS OSCILLATION 被引量:5
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作者 ZHANG Xiang-wei TAKEUCHI Kuniyoshi CHEN Jing 《Journal of Hydrodynamics》 SCIE EI CSCD 2007年第1期68-77,共10页
In this article, the fmite element solution of quasi-three-dimensional (quasi-3-D) groundwater flow was mathematically analyzed. The research shows that the spurious oscillation solution to the Finite Element Model ... In this article, the fmite element solution of quasi-three-dimensional (quasi-3-D) groundwater flow was mathematically analyzed. The research shows that the spurious oscillation solution to the Finite Element Model (FEM) is the results choosing the small time step △t or the large element size L and using the non-diagonal storage matrix. The mechanism for this phenomenon is explained by the negative weighting factor of implicit part in the discretized equations. To avoid spurious oscillation solution, the criteria on the selection of △t and L for quasi-3-D groundwater flow simulations were identified. An application example of quasi-3-D groundwater flow simulation was presented to verify the criteria. The results indicate that temporal discretization scale has significant impact on the spurious oscillations in the finite-element solutions, and the spurious oscillations can be avoided in solving practical quasi-3-D groundwater flow problems if the criteria are satisfied. 展开更多
关键词 temporal and spatial discretization spuriousoscillation finite element solution quasi-3-d groundwater flowmodels
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Lateral bearing characteristics of subsea wellhead assembly in the hydrate trial production engineering
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作者 Jing Zeng Wen-wei Xie +8 位作者 Bei-bei Kou Jing-an Lu Xing-chen Li De-jun Cai Hao-xian Shi Ke-wei Zhang Hua-qing Liu Jin Li Bo Li 《China Geology》 CAS CSCD 2023年第3期455-465,共11页
Conductor and suction anchor are the key equipment providing bearing capacity in the field of deep-water drilling or offshore engineering,which have the advantages of high operation efficiency and short construction p... Conductor and suction anchor are the key equipment providing bearing capacity in the field of deep-water drilling or offshore engineering,which have the advantages of high operation efficiency and short construction period.In order to drill a horizontal well in the shallow hydrate reservoir in the deep water,the suction anchor wellhead assembly is employed to undertake the main vertical bearing capacity in the second round of hydrate trial production project,so as to reduce the conductor running depth and heighten the kick-off point position.However,the deformation law of the deep-water suction anchor wellhead assembly under the moving load of the riser is not clear,and it is necessary to understand the lateral bearing characteristics to guide the design of its structural scheme.Based on 3D solid finite element method,the solid finite element model of the suction anchor wellhead assembly is established.In the model,the seabed soil is divided into seven layers,the contact between the wellhead assembly and the soil is simulated,and the vertical load and bending moment are applied to the wellhead node to simulate the riser movement when working in the deep water.The lateral bearing stability of conventional wellhead assembly and suction anchor wellhead assembly under the influence of wellhead load is discussed.The analysis results show that the bending moment is the main factor affecting the lateral deformation of the wellhead string;the anti-bending performance from increasing the outer conductor diameter is better than that from increasing the conductor wall thickness;for the subsea wellhead,the suction anchor obviously improves the lateral bearing capacity and reduces the lateral deformation.The conduct of the suction anchor wellhead assembly still needs to be lowered to a certain depth that below the maximum disturbed depth to ensure the lateral bearing stability,Thus,a method for the minimum conductor running depth for the suction anchor wellhead assembly is developed.The field implementations show that compared with the first round of hydrate trial production project,the conductor running depth is increased by 9.42 m,and there is no risk of wellhead overturning during the trial production.The method for determining the minimum conductor running depth in this paper is feasible and will still play an important role in the subsequent hydrate exploration and development. 展开更多
关键词 Natural gas hydrate Deep-water Subsea wellhead Suction anchor Wellhead stability 3D solid finite element method Hydrate trial exploration engineering Natural gas hydrate trial production Shenhu area The South China Sea
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Analysis of 3-D Frictional Contact Mechanics Problems by a Boundary Element Method
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作者 KEUM Bangyong 刘轶军 《Tsinghua Science and Technology》 SCIE EI CAS 2005年第1期16-29,共14页
The development of two boundary element algorithms for solving 3-D, frictional, and linear elastostatic contact problems is reported in this paper. The algorithms employ nonconforming discreti- zations for solving 3... The development of two boundary element algorithms for solving 3-D, frictional, and linear elastostatic contact problems is reported in this paper. The algorithms employ nonconforming discreti- zations for solving 3-D boundary element models, which provide much needed flexibility in the bound- ary element modeling for 3-D contact problems. These algorithms are implemented in a new 3-D boundary element code and verified using several examples. For the numerical examples studied, the results using the new boundary element algorithms match very well with the results using a commercial finite element code, and clearly demonstrate the feasibility of the new boundary element approach for 3-D contact analysis. 展开更多
关键词 boundary element method 3-d contact problems nonconforming discretizations
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3-D SHALLOW WATER FLOW COMPUTATION BY A SEMIIMPLICIT FINITE ELEMENT METHOD
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作者 Jin, Sheng 《Journal of Hydrodynamics》 SCIE EI CSCD 1998年第2期21-28,共8页
A simi-implicit finite element method is developed for three-dimensional shallow water flow. By using water depth to scale the vertical coordinate. the governing equation is transformed into fixed computational domain... A simi-implicit finite element method is developed for three-dimensional shallow water flow. By using water depth to scale the vertical coordinate. the governing equation is transformed into fixed computational domain. An efficient generalized conjugate gradient scheme is adopted for the solution of finite element analogy. 展开更多
关键词 3-d flow shallow water iterative scheme finite element
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固体火箭发动机药柱裂纹的J积分分析 被引量:8
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作者 蒙上阳 胡光宇 +1 位作者 刘兵 彭威 《固体火箭技术》 EI CAS CSCD 北大核心 2010年第6期646-649,共4页
为了探讨某固体火箭发动机药柱纵向裂纹在点火增压时的稳定性,采用三维粘弹性有限元法,在三维J积分圆柱围道曲面内裂纹尖端,构建奇异三维裂纹元,提高模拟精度,分别计算了随裂纹扩展所对应裂纹深度的J积分,并根据J积分随裂纹度变化规律,... 为了探讨某固体火箭发动机药柱纵向裂纹在点火增压时的稳定性,采用三维粘弹性有限元法,在三维J积分圆柱围道曲面内裂纹尖端,构建奇异三维裂纹元,提高模拟精度,分别计算了随裂纹扩展所对应裂纹深度的J积分,并根据J积分随裂纹度变化规律,探讨裂纹的稳定性。研究表明,发动机点火发射时药柱前翼槽出现的纵向裂纹最为危险。 展开更多
关键词 固体火箭发动机 有限元法 奇异裂纹元 三维J积分
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某固体火箭发动机药柱上三维裂纹扩展的判定 被引量:7
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作者 徐学文 孙建国 牟俊林 《固体火箭技术》 EI CAS CSCD 北大核心 2008年第4期331-335,共5页
采用三维更新Lagrangian格式固相控制方程和线性粘弹材料本构方程,应用非线性有限元法对某固体火箭发动机药柱星角上含有横向贯穿裂纹的药柱进行了三维应力、应变分析,采用三维J积分理论计算了裂纹缝线上各积分点上的J积分。J积分沿着... 采用三维更新Lagrangian格式固相控制方程和线性粘弹材料本构方程,应用非线性有限元法对某固体火箭发动机药柱星角上含有横向贯穿裂纹的药柱进行了三维应力、应变分析,采用三维J积分理论计算了裂纹缝线上各积分点上的J积分。J积分沿着裂纹缝线呈现中间高、两端低的分布趋势,缝线中间部位的J积分值最大,此处最易扩展;根据J积分判据,确定了药柱星角上含有横向贯穿裂纹的发动机安全工作时的最大裂纹深度。 展开更多
关键词 固体火箭发动机 非线性有限元法 三维J积分 裂纹扩展
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基于J积分分析固体火箭发动机药柱界面裂纹的稳定性 被引量:9
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作者 孙博 朵英贤 蒙上阳 《北京理工大学学报》 EI CAS CSCD 北大核心 2018年第2期124-129,共6页
为探讨某型固体火箭发动机药柱前端壳体/绝热层、绝热层/包覆层、包覆层/推进剂界面裂纹在点火发射时的稳定性,采用3维黏弹性有限元方法,通过在3维J积分柱面内脱黏裂纹尖端上构建奇异界面裂纹单元的方法提高计算精度,分别计算随着界面... 为探讨某型固体火箭发动机药柱前端壳体/绝热层、绝热层/包覆层、包覆层/推进剂界面裂纹在点火发射时的稳定性,采用3维黏弹性有限元方法,通过在3维J积分柱面内脱黏裂纹尖端上构建奇异界面裂纹单元的方法提高计算精度,分别计算随着界面裂纹沿界面扩展不同深度的J积分,根据J积分随脱黏裂纹深度与位置的变化规律探讨脱黏裂纹的稳定性.结果表明,发动机点火发射时,对应发动机前翼槽结构的各界面裂纹J积分值为全局最大,并且各界面裂纹的J积分值随着脱黏深度的增加呈单调增长趋势,即当界面裂纹脱黏深度到达一定的深度后将失稳扩展. 展开更多
关键词 固体火箭发动机 有限元方法 奇异界面裂纹单元 3维J积分
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基于三维流-固耦合模型的油井出砂细观机制研究 被引量:9
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作者 刘先珊 许明 《岩土力学》 EI CAS CSCD 北大核心 2013年第8期2363-2370,共8页
油井出砂机制的研究是提高油藏产能和石油开采成本减小的关键课题,而常规的宏观力学理论和方法不能全面反映油藏开采过程中油井出砂的发生和发展。鉴于砂岩储层的物理性质和射孔试验特征,从岩土力学的角度建立基于柱坐标系的三维颗粒流... 油井出砂机制的研究是提高油藏产能和石油开采成本减小的关键课题,而常规的宏观力学理论和方法不能全面反映油藏开采过程中油井出砂的发生和发展。鉴于砂岩储层的物理性质和射孔试验特征,从岩土力学的角度建立基于柱坐标系的三维颗粒流数值模型,与理论分析成果进行比较,以说明该细观数值模型可行性,有效地模拟出砂过程中的渗流及流-固耦合效应。在该基础上,综合考虑流体压力梯度力和拖曳力,基于PFC3D模型模拟流体不同运动时的砂岩性态。数值分析得到的模型宏观应力图形说明流体运动对砂岩力学特性的影响不可忽略,且在相同条件下,流量越大,砂岩的塑性区越大,形成砂岩破坏出砂的几率也越大。同时,不同工况的砂岩黏结分布和颗粒转动图形表明,相同条件下流量越大,颗粒间平行黏结破坏越多,颗粒转动越大,失去黏结约束的颗粒也越多,出砂量就越大,可见两种细观特征图形与宏观应力图形变化规律一致,该模型可用于油井出砂机制的研究,可为出砂量预测及出砂控制提供新的研究思路。 展开更多
关键词 柱坐标系 三维颗粒流数值模型 流-固耦合效应 出砂细观机制 细观特征
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液—固掺杂垂熔钨坯中改性元素的行为 被引量:5
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作者 徐志昌 张萍 《粉末冶金技术》 CAS CSCD 北大核心 1992年第4期243-247,共5页
对传统粉末冶金方法(液—固混合制成掺杂钨粉,经过压制、烧结、旋锻、拉拔等工序)制成的钨坯和钨丝,用扫描电子显微镜进行了断面及磨面分析。结果发现:在晶界孔穴内,元素Si和Al的含量丰富;在晶内孔穴内,除元素Si、Al外,还富集了元素K。... 对传统粉末冶金方法(液—固混合制成掺杂钨粉,经过压制、烧结、旋锻、拉拔等工序)制成的钨坯和钨丝,用扫描电子显微镜进行了断面及磨面分析。结果发现:在晶界孔穴内,元素Si和Al的含量丰富;在晶内孔穴内,除元素Si、Al外,还富集了元素K。只用钾泡理论解释改性元素改善高温钨丝的抗下垂性能是不够的,应以分子筛理论和SiO_2-Al_2O_3系统相图予以补充。 展开更多
关键词 液—固掺杂元素 烧结钨坯 改性元素 分子筛理论 SiO_(2)-Al_(2)O_(3) 系统相图
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西安电视塔改造项目结构有限元分析
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作者 姜兰潮 魏军 《中国安全科学学报》 CAS CSCD 2005年第12期12-15,共4页
西安电视塔的装修改造,要求在塔楼、塔座增设部分钢梁、钢柱,而工程结构由于使用不当或任意改建引起的事故经常发生。为了保证结构的安全,为可靠性鉴定提供参考依据,并指导改造设计的实施,依据现行设计规范,采用多质点悬臂梁体系,用数... 西安电视塔的装修改造,要求在塔楼、塔座增设部分钢梁、钢柱,而工程结构由于使用不当或任意改建引起的事故经常发生。为了保证结构的安全,为可靠性鉴定提供参考依据,并指导改造设计的实施,依据现行设计规范,采用多质点悬臂梁体系,用数值方法对西安电视塔主体结构进行了静力响应分析、反应谱分析,并考虑了二阶效应对结构的影响,得到内力结果。当考虑日照作用分析时,采用三维实体单元模型,计算温度变形,并考虑二阶效应对结构的影响。 展开更多
关键词 西安电视塔 改造项目 有限元分析 二阶效应 三维实体单元
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Numerical simulation of 3-D water collapse with an obstacle by FEM-level set method 被引量:4
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作者 王吉飞 万德成 《Journal of Hydrodynamics》 SCIE EI CSCD 2015年第1期112-119,共8页
An interface capturing approach based on a level set function for simulating transient two-phase viscous incompressible flows is applied in this paper. A narrow-band signed distance function is adopted to indicate the... An interface capturing approach based on a level set function for simulating transient two-phase viscous incompressible flows is applied in this paper. A narrow-band signed distance function is adopted to indicate the phase fields and the interface. The multiphase flow is numerically solved by three stages with finite element method (FEM): (1) solving a two-fluid Navier-Stokes (N-S) equations over the whole domain, (2) transporting the level set function with the obtained velocity field, (3) the level set function correction through a renormalization with continuous penalization which preserves the thickness of the interface. In this paper, the 3-D water colunm collapse with an obstacle is simulated, which yielded good agreement with the experimental data. 展开更多
关键词 3-d water collapse with an obstacle free surface interface capturing level set method finite element method
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