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建构主义教学理论在《数值分析与组合数学》教学中的运用 被引量:3
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作者 张坚民 《远程教育杂志》 2004年第2期32-34,共3页
作为教学论的三大流派之一,建构主义教学论影响深远。作为一种新型的教学哲学,建构主义教学理论与远程教育关系密切,它为远程教育教学理论、教学方法论提供了科学的理论指导,深刻影响了远程教学观、课程观、师生观及协作观。文章通过对... 作为教学论的三大流派之一,建构主义教学论影响深远。作为一种新型的教学哲学,建构主义教学理论与远程教育关系密切,它为远程教育教学理论、教学方法论提供了科学的理论指导,深刻影响了远程教学观、课程观、师生观及协作观。文章通过对开放本科计算机数学基础《数值分析与组合数学》(以下简称《数值分析》)课程教学案例剖析,阐述了建构主义教学理论对远程教学课程导学设计、教学方法的指导及相关运用。 展开更多
关键词 建构主义 教学理论 数值分析与组合数学》 远程教育 教学方法 本科教育 教学方法
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一种求解平面接触应力问题的光弹性——数值组合方法
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作者 管大椿 史明仁 +1 位作者 王慕 陈钟秀 《实验力学》 CSCD 北大核心 1992年第1期36-43,共8页
本文提出一种求解平面接触应力最大值的光弹性—数值计算组合方法,仅从光弹性等差线上采集实验数据,然后用牛顿—拉斐逊技术与最小二乘法相结合计算出结果。文中推导了控制方程,阐述了方法,研究了实验数据取值区域、取值个数以及接触长... 本文提出一种求解平面接触应力最大值的光弹性—数值计算组合方法,仅从光弹性等差线上采集实验数据,然后用牛顿—拉斐逊技术与最小二乘法相结合计算出结果。文中推导了控制方程,阐述了方法,研究了实验数据取值区域、取值个数以及接触长度测试误差等因素的影响。用两类平面接触问题作为应用实例,结果符合工程要求的精度。 展开更多
关键词 平面接触应力 光弹性 数值组合
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平面弹性接触问题的光弹性-数值组合解法
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作者 韦德骏 周海兵 《湖南大学学报(自然科学版)》 EI CAS CSCD 北大核心 2002年第3期12-17,共6页
利用光弹性 -数值组合解法对平面弹性接触问题进行了研究 .利用边界积分方程 ,结合接触状态 ,形成接触问题的系统方程 .采用增量迭代的方法 ,通过计算程序求得数值解 .由光弹性实验得出实验解 ,并将此解与数值解进行比较 。
关键词 光弹性-数值组合解法 接触问题 边界积分方程 光弹性实验
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涡轴发动机组合模型非线性预测控制 被引量:4
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作者 肖玲斐 朱跃 《推进技术》 EI CAS CSCD 北大核心 2012年第2期283-287,共5页
针对涡轴发动机,为了更好的满足控制系统的实时性要求和提高控制性能,建立了数值稳态非线性模型和ARX动态线性模型相串联的组合模型,并将其作为预测模型,设计了非线性预测控制器。由于优化求解控制器时避免了非线性规划问题,控制系统的... 针对涡轴发动机,为了更好的满足控制系统的实时性要求和提高控制性能,建立了数值稳态非线性模型和ARX动态线性模型相串联的组合模型,并将其作为预测模型,设计了非线性预测控制器。由于优化求解控制器时避免了非线性规划问题,控制系统的实时性得以保证。仿真结果表明,当旋翼负载变化时,功率涡轮转速收敛速度快,稳态精度高,超调量小。 展开更多
关键词 涡轴发动机 非线性预测控制 数值-ARX组合模型
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学生的探究——改进天平砝码组合
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作者 梁学军 《物理通报》 2002年第11期26-27,共2页
1 背景天平已成为人们公认的十分完美的经典仪器,似乎没有人再向它提出什么挑战了,然而,我校的张鹤同学在天平的砝码组合问题上却提出了一个新的见解。在一次物理课上,我组织同学们讨论了一道开放性的问题:'现在我们所使用的天平还... 1 背景天平已成为人们公认的十分完美的经典仪器,似乎没有人再向它提出什么挑战了,然而,我校的张鹤同学在天平的砝码组合问题上却提出了一个新的见解。在一次物理课上,我组织同学们讨论了一道开放性的问题:'现在我们所使用的天平还存在着什么缺点?'同学们讨论得非常热烈,各自发表了自己的见解。有的同学说:'调节太麻烦了,要是安装一个能自动调节平衡的装置就好了。'有的同学说: 展开更多
关键词 物理教学 组合数值 探究式学习 学生 天平 砝码组合
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光纤水听器相位解调中的数值组合处理方法
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作者 柯尊灵 王芳 陈震 《光纤与电缆及其应用技术》 2023年第2期30-34,41,共6页
光纤水听器需要较为复杂的相位解调处理才能恢复出目标水声信号。分析了数值组合处理方法在3×3耦合器解调法中的应用。分析了外差解调法和相位生成载波(PGC)解调法的常规处理方式存在的问题,采用数值组合处理方法对相位解调过程进... 光纤水听器需要较为复杂的相位解调处理才能恢复出目标水声信号。分析了数值组合处理方法在3×3耦合器解调法中的应用。分析了外差解调法和相位生成载波(PGC)解调法的常规处理方式存在的问题,采用数值组合处理方法对相位解调过程进行了简化和改进,通过仿真和实测验证了数值组合处理方法的有效性和先进性。 展开更多
关键词 光纤水听器 相位解调 数值组合处理方法
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激光成像跟踪系统中的图像噪声抑制技术 被引量:5
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作者 董吉辉 胡企铨 孙东松 《量子电子学报》 CAS CSCD 北大核心 2011年第1期25-30,共6页
激光成像跟踪系统是实现空间远距离暗目标跟踪的一种极具潜力的手段,而目标在激光照射下的图像将受到激光散斑的调制作用,影响目标的识别及目标的定向精度。对激光照射下目标图像的统计特性进行了理论分析,提出了一种对原始图像依次... 激光成像跟踪系统是实现空间远距离暗目标跟踪的一种极具潜力的手段,而目标在激光照射下的图像将受到激光散斑的调制作用,影响目标的识别及目标的定向精度。对激光照射下目标图像的统计特性进行了理论分析,提出了一种对原始图像依次实施灰度线性变换、中值滤波和Lee滤波的组合数值滤波器对图像噪声进行抑制。处理的结果表明,采用上述组合方法,图像的噪声指数可从0.67降至0.22,同时边缘保持度可达0.96,为后续的图像处理提供了必要的基础。 展开更多
关键词 图像处理 噪声抑制 组合数值滤波器 激光散斑
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子结构拟动力试验的CD-Wilson θ法研究
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作者 王晓峰 蔡新江 田石柱 《四川建筑科学研究》 2013年第3期152-155,共4页
子结构拟动力试验中的组合数值积分方法具有显式数值积分方法无需迭代和隐式数值积分方法无条件稳定的优点。为解决CD-Newmark方法存在上限频率取值较大导致时间步长变小的问题,将显式的中心差分法和隐式的Wilson-θ法进行组合,形成CD-W... 子结构拟动力试验中的组合数值积分方法具有显式数值积分方法无需迭代和隐式数值积分方法无条件稳定的优点。为解决CD-Newmark方法存在上限频率取值较大导致时间步长变小的问题,将显式的中心差分法和隐式的Wilson-θ法进行组合,形成CD-Wilson θ法。经计算和对Wilson-θ法做出一定修正后,得出该组合数值积分方法的稳定性和精度条件。通过Matlab软件编程,提出了CD-Wilson θ法稳定性的参数取值范围,并用算例做出对比验证。结果表明这种组合数值积分方法不仅稳定性和精度性好,而且比CD-Newmark法的时间步长范围更大。 展开更多
关键词 子结构拟动力试验 组合数值积分方法 CD-Wilson θ法 稳定性 时间步长
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水稻超高产群体质量与N肥运筹效应 被引量:10
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作者 洪克城 张大友 徐为元 《南京农专学报》 2000年第2期39-42,共4页
水稻超高产是具有超高产潜力的水稻品种在一定的生态区域中综合因素和谐互作的结果。在众多的栽培因素中 ,其群体质量与 N肥施用属主要作用因子 ,寻求二者的最佳组合数值 ,是实现超高产的关键。经试验研究表明 ,常规中粳及迟熟中粳 ,适... 水稻超高产是具有超高产潜力的水稻品种在一定的生态区域中综合因素和谐互作的结果。在众多的栽培因素中 ,其群体质量与 N肥施用属主要作用因子 ,寻求二者的最佳组合数值 ,是实现超高产的关键。经试验研究表明 ,常规中粳及迟熟中粳 ,适宜基本苗为 ( 90~1 0 5)× 1 0 4· hm- 2 ,在总施纯 N量 30 0 kg· hm- 2左右的前提下 ,调整 N肥运筹比例 ,增加穗肥施用比重 ,基蘖肥∶穗肥按 5∶ 5施用 ,有利于超高产的形成。 展开更多
关键词 水稻 超高产群体质量 N肥运筹 组合数值 施肥
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Mechanical behaviors of steel reinforced ECC / concrete composite columns under combined vertical and horizontal loading 被引量:7
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作者 单奇峰 潘金龙 陈俊涵 《Journal of Southeast University(English Edition)》 EI CAS 2015年第2期259-265,共7页
In order to improve the load capacity, seismic performance and performance-cost ratio of the columns, the concrete at the base of reinforced concrete (RC) columns is substituted with engineered cementitious composit... In order to improve the load capacity, seismic performance and performance-cost ratio of the columns, the concrete at the base of reinforced concrete (RC) columns is substituted with engineered cementitious composites (ECC) to form ECC/RC composite columns. Based on the existing material properties, the mechanical behaviors of the ECC columns, ECC/RC composite columns and RC columns were numerically studied under combined vertical and horizontal loading with the software of ATENA. Then, the failure mechanism of ECC columns and ECC/RC composite columns were comprehensively studied and compared with that of the RC columns. Then, the effects of the height of the ECC, the axial compression ratio, and the transverse reinforcement ratio on the mechanical behaviors of the composite or the ECC column are studied. The calculation results show that the ultimate load capacity, ductility and crack resistance of the ECC or ECC/RC composite columns are superior to those of the RC columns. The ECC/RC composite column with a height of the ECC layer of 1.2h ( h is the height of the cross section) can achieve similar mechanical properties of a full ECC column. With high shear strength, ECC can undertake the shear force and significantly reduce the amount of stirrups, avoiding construction issues and promoting its engineering application. 展开更多
关键词 engineered cementitious composites ECC ECC/RC composite columns compression-bending behavior numerical analysis parametric analysis
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Numerical simulation of dynamic fracture properties of rocks under different static stress conditions 被引量:6
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作者 LIANG Zheng-zhao QIAN Xi-kun +1 位作者 ZHANG Ya-fang LIAO Zhi-yi 《Journal of Central South University》 SCIE EI CAS CSCD 2022年第2期624-644,共21页
When underground cavities are subjected to explosive stress waves,a uniquely damaged zone may appear due to the combined effect of dynamic loading and static pre-load stress.In this study,a rate-dependent two-dimensio... When underground cavities are subjected to explosive stress waves,a uniquely damaged zone may appear due to the combined effect of dynamic loading and static pre-load stress.In this study,a rate-dependent two-dimensional rock dynamic constitutive model was established to investigate the dynamic fractures of rocks under different static stress conditions.The effects of the loading rate and peak amplitude of the blasting wave under different confining pressures and the vertical compressive coefficient(K_(0))were considered.The numerical simulated results reproduced the initiation and further propagation of primary radial crack fractures,which were in agreement with the experimental results.The dynamic loading rate,peak amplitude,static vertical compressive coefficient(K_(0))and confining pressure affected the evolution of fractures around the borehole.The heterogeneity parameter(m)plays an important role in the evolution of fractures around the borehole.The crack propagation path became more discontinuous and rougher in a smallerheterogeneity parameter case. 展开更多
关键词 rock mechanics coupled static and dynamic loading numerical simulation rate-dependent damage constitutive model
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Deformation prediction and analysis of underground mining during stacking of dry gangue in open-pit based on response surface methodology 被引量:6
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作者 QIU Xian-yang CHEN Jia-yao +3 位作者 SHI Xiu-zhi ZHANG Shu ZHOU Jian CHEN Xin 《Journal of Central South University》 SCIE EI CAS CSCD 2018年第2期406-417,共12页
Deformation prediction and the analysis of underground goaf are important to the safe and efficient recovery of residual ore when shifting from open-pit mining to underground mining.To address the comprehensive proble... Deformation prediction and the analysis of underground goaf are important to the safe and efficient recovery of residual ore when shifting from open-pit mining to underground mining.To address the comprehensive problem of stability in the double mined-out area of the Tong-Lv-Shan(TLS)mine,which employed the dry stacked gangue technology,this paper applies the function fitting theory and a regression analysis method to screen the sensitive interval of four influencing factors based on single-factor experiments and the numerical simulation software FLAC3D.The influencing factors of the TLS mine consist of the column thickness(d),gob area span(D),boundary pillar thickness(h)and height of tailing gangue(H).The fitting degree between the four factors and the displacement of the gob roof(W)is reasonable because the correlation coefficient(R2)is greater than0.9701.After establishing29groups that satisfy the principles of Box-Behnken design(BBD),the dry gangue tailings process was re-simulated for the selected sensitive interval.Using a combination of an analysis of variance(ANOVA),regression equations and a significance analysis,the prediction results of the response surface methodology(RSM)show that the significant degree for the stability of the mined-out area for the factors satisfies the relationship of h>D>d>H.The importance of the four factors cannot be disregarded in a comparison of the prediction results of the engineering test stope in the TLS mine.By comparing the data of monitoring points and function prediction,the proposed method has shown promising results,and the prediction accuracy of RSM model is acceptable.The relative errors of the two test stopes are1.67%and3.85%,respectively,which yield satisfactory reliability and reference values for the mines. 展开更多
关键词 response surface methodology (RSM) Box-Behnken design (BBD) numerical simulation boundary pillar deformation prediction
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Comparison of heat transfer performances of helix baffled heat exchangers with different baffle configurations 被引量:3
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作者 董聪 陈亚平 吴嘉峰 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2015年第1期255-261,共7页
Numerical simulations were performed on flow and heat transfer performances of heat exchangers having six helical baffles of different baffle shapes and assembly configurations, i.e., two trisection baffle schemes, tw... Numerical simulations were performed on flow and heat transfer performances of heat exchangers having six helical baffles of different baffle shapes and assembly configurations, i.e., two trisection baffle schemes, two quadrant baffle schemes, and two continuous helical baffle schemes. The temperature contour or the pressure contour and velocity contour plots with superimposed velocity vectors on meridian, transverse and unfolded concentric hexagonal slices are presented to obtain a full angular view. For the six helix baffled heat exchangers,the different patterns of the single vortex secondary flow and the shortcut leakage flow were depicted as well as the heat transfer properties were compared. The results show that the optimum scheme among the six configurations is a circumferential overlap trisection helix baffled heat exchanger with a baffle incline angle of 20°(20°TCO) scheme with an anti-shortcut baffle structure, which exhibits the second highest pressure dropΔpo, the highest overall heat transfer coefficient K, shell-side heat transfer coefficient hoand shell-side average comprehensive index ho/Δpo. 展开更多
关键词 Helix baffled heat exchanger Trisection baffle Quadrant baffle Continuous baffle Circumferential overlap baffle Secondary flow Heat transfer Numerical simulation
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Microscopic phase-field simulation for nucleation incubation time of Ni_(75)Al_xV_(25-x)alloy 被引量:2
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作者 李永胜 陈铮 +2 位作者 卢艳丽 王永欣 张建军 《Journal of Central South University of Technology》 EI 2005年第6期635-640,共6页
With the microscopic phase-field dynamic model, the effects of temperature and concentration on the nucleation incubation time of Ni75AlxV25-x alloy were studied and the relation between the incubation time and precip... With the microscopic phase-field dynamic model, the effects of temperature and concentration on the nucleation incubation time of Ni75AlxV25-x alloy were studied and the relation between the incubation time and precipitation mechanism was investigated by using the atomic occupation probability picture and average order parameter curve. The simulation results demonstrate that there exists the incubation time for different precipitation mechanisms~ such as non-classical nucleation, the mixed style of non-classical nucleation and spinodal decomposition, and spinodal ordering; and the incubation time shortens in turn for the three kinds of mechanisms. With the increase of Al content of Ni75AlxV25-x alloy, the incubation time of Llz phases shortens continuously and that of DOzz phases is prolonged. The effects of temperature on the incubation time of Llz and DOzz phases are accordant, i.e. the incuba- tion time is greatly prolonged with the temperature rising. 展开更多
关键词 microscopic phase-field NUCLEATION incubation time order parameter SIMULATION
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Numerical Study on Forming Process of the PET/PA6 Component Melt in Micro Hole in Composite Spinning 被引量:1
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《Journal of Donghua University(English Edition)》 EI CAS 2013年第6期510-513,共4页
The forming mechanism of the multi-component polymer melt is always the difficult problem in the study on the composite fiber, due to the difference of the material properties. The study simulated the flow of PET/PA6 ... The forming mechanism of the multi-component polymer melt is always the difficult problem in the study on the composite fiber, due to the difference of the material properties. The study simulated the flow of PET/PA6 composite melt on the influence law for the velocity distribution and the micro hole's structure on the influence law for extrusion swelling based on the theory of the rheology and the spinning process and the structure of the spinning components by Polyflow. In addition by comparison with the previous experiments about extrusion swelling, the results show that the value of the swell ratio decreases rapidly at low values of length/ diameter and then levels off as length/diameter is increased further, whereas increases with the die exit angle increasing. The veincity distribution of the composite melt and the micro hole's structure have a significant influence on the extrusion swelling, which has very good guidance function for studying the forming mechanism of the composite melt and preparation of the high performance fiber. 展开更多
关键词 multi-component melt velocity equation numerical simulation PolwTow
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Numerical simulation and combination optimization of aluminum holding furnace linings based on simulated annealing 被引量:2
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作者 王计敏 兰申 +2 位作者 陈涛 李文科 楚化强 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2015年第6期880-889,共10页
To reduce heat loss and save cost, a combination decision model of reverb aluminum holding furnace linings in aluminum casting industry was established based on economic thickness method, and was resolved using simula... To reduce heat loss and save cost, a combination decision model of reverb aluminum holding furnace linings in aluminum casting industry was established based on economic thickness method, and was resolved using simulated annealing. Meanwhile, a three-dimensional mathematical model of aluminum holding furnace linings was developed and integrated with user-defined heat load distribution regime model. The optimal combination was as follows: side wall with 80 mm alumino-silicate fiber felts, 232 mm diatomite brick and 116 mm chamotte brick; top wall with 50 mm clay castables, 110 mm alumino-silicate fiber felts and 200 mm refractory concrete;and bottom wall with 232 mm high-alumina brick, 60 mm clay castables and 68 mm diatomite brick. Lining temperature from high to low was successively bottom wall, side wall, and top wall. Lining temperature gradient in increasing order of magnitude was refractory layer and insulation layer. It was indicated that the results of combination optimization of aluminum holding furnace linings were valid and feasible, and its thermo-physical mechanism and cost characteristics were reasonably revealed. 展开更多
关键词 Aluminum holding furnace linings Reaction engineering Transport processes Numerical simulation Combination optimization Simulated annealing
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Explosion limits for combustible gases 被引量:10
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作者 TONG Min-ming WU Guo-qing HAO Ji-fei DAI Xin-lian 《Mining Science and Technology》 EI CAS 2009年第2期182-184,共3页
Combustible gases in coal mines are composed of methane, hydrogen, some multi-carbon alkane gases and other gases. Based on a numerical calculation, the explosion limits of combustible gases were studied, showing that... Combustible gases in coal mines are composed of methane, hydrogen, some multi-carbon alkane gases and other gases. Based on a numerical calculation, the explosion limits of combustible gases were studied, showing that these limits are related to the concentrations of different components in the mixture. With an increase of C4H10 and C6H14, the Lower ExplosionLimit (LEL) and Upper Explosion-Limit (UEL) of a combustible gas mixture will decrease clearly. For every 0.1% increase in C4H10 and C6H14, the LEL decreases by about 0.19% and the UEL by about 0.3%. The results also prove that, by increasing the amount of H2, the UEL of a combustible gas mixture will increase considerably. If the level of HE increases by 0.1%, the UEL will increase by about 0.3%. However, H2 has only a small effect on the LEL of the combustible gas mixture. Our study provides a theoretical foundation for judging the explosion risk of an explosive gas mixture in mines. 展开更多
关键词 coal mine GAS explosive gases explosion limits
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Behavior of Reinforced Concrete Columns under Combined Axial Load and Bending in Accordance with a Nonlinear Numerical Model 被引量:1
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作者 Carlos Eduardo Luna de Melo Guilherme Sales Soares de Azevedo Melo 《Journal of Civil Engineering and Architecture》 2016年第1期53-63,共11页
A nonlinear numerical model was developed to analyze reinforced concrete columns under combined axial load and bending up to failure. Results of reinforced concrete columns under eccentric compression tested to failur... A nonlinear numerical model was developed to analyze reinforced concrete columns under combined axial load and bending up to failure. Results of reinforced concrete columns under eccentric compression tested to failure are presented and compared to results from a numerical nonlinear model. The tests involved 10 columns with cross-section of 250 mm × 120 mm, geometrical reinforcement ratio of 1.57% and concrete with compression strength around 40 MPa, with 3,000 mm in length. The main variable was the load eccentricity in the direction of the smaller dimension of cross-section. Experimental results of ultimate load and of the evolution of transverse displacements and concrete strains are compared with the numerical results. The estimated results obtained by the numerical model are close to the experimental ones, being suitable for use in verification of elements under combined axial load and bending. 展开更多
关键词 COLUMNS reinforced concrete combined axial load and bending numerical analysis.
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空间激光成像跟踪系统中的图像噪声抑制技术 被引量:13
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作者 董吉辉 胡企铨 孙东松 《中国激光》 EI CAS CSCD 北大核心 2011年第1期227-231,共5页
激光成像跟踪系统是实现空间远距离暗目标跟踪的一种极具潜力的手段,而目标在激光照射下的图像将受到激光散斑的调制作用,影响目标的识别及目标的定向精度。对激光照射下的目标图像的统计特性进行了理论分析,提出了一种对原始图像依次... 激光成像跟踪系统是实现空间远距离暗目标跟踪的一种极具潜力的手段,而目标在激光照射下的图像将受到激光散斑的调制作用,影响目标的识别及目标的定向精度。对激光照射下的目标图像的统计特性进行了理论分析,提出了一种对原始图像依次实施灰度线性变换、中值滤波和Lee滤波的组合数值滤波器对图像噪声进行抑制。处理的结果表明,采用上述组合方法,图像的噪声指数可从0.67降至0.22,同时边缘保持度可达0.96,为后续的图像处理提供了必要的条件。 展开更多
关键词 图像处理 噪声抑制 组合数值滤波器 激光散斑
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新的6-PSS型并联机构正向运动学求解方法 被引量:2
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作者 谢志江 王昆 +2 位作者 皮阳军 吴小勇 郭映位 《吉林大学学报(工学版)》 EI CAS CSCD 北大核心 2019年第6期1977-1985,共9页
针对6-PSS型并联机构,通过研究其正向运动学,利用各支链铰点在动坐标系、静坐标系和滑块铰点坐标系3种坐标系下的位置关系,推导出6-PSS型并联机构的运动学模型,得到一种简明的运动学正向求解方法。在此基础上,提出了基于多元牛顿法和最... 针对6-PSS型并联机构,通过研究其正向运动学,利用各支链铰点在动坐标系、静坐标系和滑块铰点坐标系3种坐标系下的位置关系,推导出6-PSS型并联机构的运动学模型,得到一种简明的运动学正向求解方法。在此基础上,提出了基于多元牛顿法和最速下降法的组合数值方法,并运用数值分析理论和计算机机器算数思想,最大限度提高收敛速度和减少单步迭代计算量。最后,编制了机构运动学的正向求解程序,进行了数值仿真,结果表明:改进的组合数值方法不仅可以更加快速地收敛到真实解,还能降低对初始估计值的依赖,扩大收敛范围,可以有效应用于该型并联机器人系统。 展开更多
关键词 机械设计 6-PSS型并联机构 运动学正解 多元牛顿法 最速下降法 组合数值方法
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