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Application of Golden Section Method to Channel Transect Design 被引量:1
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作者 MENBao-hui NINGShao-yu 《Journal of Northeast Agricultural University(English Edition)》 CAS 2001年第2期121-127,共7页
During the desing of channel transect,the paper brings forward golden section method,which is 0.618 methods.In order to reduce the calculation volume of the natural depth of water h 0 and bottomˉwidth b which apply ... During the desing of channel transect,the paper brings forward golden section method,which is 0.618 methods.In order to reduce the calculation volume of the natural depth of water h 0 and bottomˉwidth b which apply trial calculation method and graphic method,and improve the calculate precision,the mathematical model has been built up,the writer combines example to explain the train of thought,the result shows that the calculation precision is high,the correctness is tested and verified by the result which is calculated by hand.It can be referred to the hydroelectric works. 展开更多
关键词 Natural water deep golden section method math model
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Measurement of ^(232)Th(n,2n)^(231)Th reaction cross-sections at neutron energies of 14.1 MeV and 14.8 MeV using neutron activation method 被引量:3
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作者 兰长林 解保林 +2 位作者 张凯 彭猛 方开洪 《Nuclear Science and Techniques》 SCIE CAS CSCD 2015年第6期100-103,共4页
In this study, the activation cross-sections were measured for ^(232)Th(n,2n)^(231)Th reactions at neutron energies of 14.1 and 14.8 MeV, which were produced by a neutron generator through a T(d,n)~4He reaction. Induc... In this study, the activation cross-sections were measured for ^(232)Th(n,2n)^(231)Th reactions at neutron energies of 14.1 and 14.8 MeV, which were produced by a neutron generator through a T(d,n)~4He reaction. Induced gamma-ray activities were measured using a low background gamma ray spectrometer equipped with a high resolution HPGe detector. In the cross-section calculations, corrections were made regarding the effects of gamma-ray attenuation, dead-time, fluctuation of the neutron flux, and low energy neutrons. The measured cross-sections were compared with the literature data, evaluation data(ENDF-B/VII.1, JENDL-4.0 and CENDL-3.1), and the results of the model calculation(TALYS1.6). 展开更多
关键词 中子能量 反应截面 MEV 中子活化法 测量 HPGE探测器 中子发生器 高分辨率
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Study on Modification of the Misgav Ladach Method for Cesarean Section 被引量:1
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作者 李敏 邹丽 朱剑文 《Journal of Huazhong University of Science and Technology(Medical Sciences)》 SCIE CAS 2001年第1期75-77,共3页
cases of pregnant women scheduled for delivery by cesarean section were randomly assigned to 59 cases in modification group with modified Misgav Ladach technique, 57 cases in Misgav Ladach group with Misgav Ladach tec... cases of pregnant women scheduled for delivery by cesarean section were randomly assigned to 59 cases in modification group with modified Misgav Ladach technique, 57 cases in Misgav Ladach group with Misgav Ladach technique and 56 cases in Pfannenstiel group with Pfannenstiel technique from May to Dec. 1999. The modified points included: transversely incising the fascia 2 to 3 cm, then dividing it bluntly; without opening and dissociating the visceral peritoneum; two layers suturing of low transverse uterine incision; closing the skin by continuous suturing. Results showed the average delivery time in the modification group was (3.6±2.6) min and (5.7±2.9) min in the Misgav Ladach group ( P <0.05). Median operating time was (28.3±5.4) min in modification group compared with (27.5±6.5) min in the Misgav Ladach group ( P >0.05). Average blood loss was (128±35) ml in modification group compared with (212±147) ml in the Pfannenstiel group ( P <0.05). It was concluded that the modified Misgav Ladach technique not only preserved all advantages of Misgav Ladach method, but also had additional advantages, such as faster in delivering the fetus, less damage, easier mastering for obstetricians. 展开更多
关键词 cesarean section peritoneum/surgery surgical method
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Efficient Calculation of the Radar Cross Section at the Interior Resonance by the Inverse Power Method
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作者 孙玉发 于梅 沈广鸿 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2003年第3期49-52,共4页
It is well known that the incorrect results will be given using either the electric or magnetic field integral equation to calculate the radar cross section (RCS) of a closed body at the interior resonance. In this pa... It is well known that the incorrect results will be given using either the electric or magnetic field integral equation to calculate the radar cross section (RCS) of a closed body at the interior resonance. In this paper, an effective iterative technique is used to correct the calculated surface current density from the electric field integral equation. The radar cross section is computed for an infinite conducting circular cylinder at the interior resonance, and the obtained results are in good agreement with the analytical results. The backscattering cross section of an infinite triangular cylinder in the vicinity of a resonant frequency is also calculated. It is shown that the presence method is efficient and accurate. 展开更多
关键词 Interior resonance Radar cross section method of moments Inverse power method.
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RADAR CROSS-SECTION COMPUTATIONS OF ARBITRARILY COMPLICATED TARGETS BY APPLYING THE PANEL METHOD
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作者 周建江 舒永泽 《Journal of Electronics(China)》 1992年第2期140-145,共6页
The present paper deals with the method for the radar cross-section (RCS)computations of arbitrarily complicated targets based on the work by D. Klement et al.(1988).This method is convenient in use, fast in operatio... The present paper deals with the method for the radar cross-section (RCS)computations of arbitrarily complicated targets based on the work by D. Klement et al.(1988).This method is convenient in use, fast in operation and precise in calculating RCS of a complicatedtarget. With this method, the RCS of classic scatterers, for example, a cone and a cylinder, arecomputed with the result of good agreement with experimental data. Furthermore, the RCS’of an aircraft model at various attitudes are calculated with the result of good agreement withexperimental data also. 展开更多
关键词 RADAR CROSS-section PANEL method RADAR target Electromagnetic SCATTERING
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The Research of Urban Rail Transit Sectional Passenger Flow Prediction Method 被引量:1
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作者 Qian Li Yong Qin +4 位作者 Ziyang Wang Zhongxin Zhao Minghui Zhan Yu Liu Zhiguo Li 《Journal of Intelligent Learning Systems and Applications》 2013年第4期227-231,共5页
This paper studies the short-term prediction methods of sectional passenger flow, and selects BP neural network combined with the characteristics of sectional passenger flow itself. With a case study, we design three ... This paper studies the short-term prediction methods of sectional passenger flow, and selects BP neural network combined with the characteristics of sectional passenger flow itself. With a case study, we design three different schemes. We use Matlab to realize the prediction of the sectional passenger flow of the Beijing subway Line 2 and make comparative analysis. The empirical research shows that combining data characteristics of sectional passenger flow with the BP neural network have good prediction accuracy. 展开更多
关键词 URBAN RAIL TRANSIT NEURAL Network sectional PASSENGER FLOW Prediction method
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Hyperstatic reaction method for calculations of tunnels with horseshoe-shaped cross-section under the impact of earthquakes 被引量:1
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作者 Thanh Nguyen Chi Gospodarikov Alexandr 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2020年第1期179-188,共10页
Tunnels are now an integral part of the infrastructure in major cities around the world. For many reasons, these tunnels have horseshoe-shaped cross-sections with round top and flat bottom. This paper presents some im... Tunnels are now an integral part of the infrastructure in major cities around the world. For many reasons, these tunnels have horseshoe-shaped cross-sections with round top and flat bottom. This paper presents some improvements to the use of the Hyperstatic Reaction Method-HRM for analysing tunnels with horseshoe-shaped cross-sections when these tunnels operate under the influence of earthquakes, particularly in cases when the tunnel lining is a continuous lining. The analysis used parameters of a tunnel from the Hanoi metro system, as well as parameters of the strongest earthquake that may occur in the central Hanoi area in the improved HRM and 2 D numerical methods using the ABAQUS software. On the basis of the results obtained, the paper gives conclusions about the HRM methodology when it is used to calculate tunnels that have horseshoe cross-sections operating under the influence of earthquakes. 展开更多
关键词 hyperstatic reaction method earthquake horseshoe cross-section impact tunnel
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复合助剂对低温喷雾干燥蓝靛果粉理化性质的影响 被引量:2
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作者 郑先哲 鲁天麟 +5 位作者 陈启明 张雨涵 沈柳杨 付科森 朱海辉 柏才宇 《农业工程学报》 EI CAS CSCD 北大核心 2024年第2期93-106,共14页
为保证低温喷雾干燥后蓝靛果粉品质,采用黄金分割法研究复合助剂(麦芽糊精、β-环糊精和乳清蛋白)对喷雾干燥蓝靛果粉理化性质的影响,分析低温进风温度(50~90℃)对蓝靛果粉花青素保留率、集粉率和含水率的影响规律。结果表明,在麦芽糊... 为保证低温喷雾干燥后蓝靛果粉品质,采用黄金分割法研究复合助剂(麦芽糊精、β-环糊精和乳清蛋白)对喷雾干燥蓝靛果粉理化性质的影响,分析低温进风温度(50~90℃)对蓝靛果粉花青素保留率、集粉率和含水率的影响规律。结果表明,在麦芽糊精、β-环糊精的质量比例为85.4%、14.6%时,集粉率高达37.96%;随进料溶液中麦芽糊精质量比例增加,蓝靛果粉玻璃化转变温度、水溶性指数、堆积密度、亮度L^(*)值、红度a^(*)值和色差值ΔE呈增加趋势,含水率、花青素含量和黄度b^(*)值呈下降趋势;在麦芽糊精、β-环糊精和乳清蛋白质量比例为72.9%、12.5%、14.6%时,集粉率达到最高(40.11%);随料液中乳清蛋白质量比例增加,蓝靛果粉含水率、花青素含量呈上升趋势,其玻璃化转变温度、水溶性指数、亮度L^(*)值、红度a^(*)值、黄度b^(*)值和色差值ΔE等指标呈下降趋势;复合助剂显著提高蓝靛果粉集粉率(P<0.05),对其中的花青素起到较强保护作用,其含水率、水溶性指数、堆积密度等理化指标均接近于最优水平。低温喷雾干燥研究发现,随进风温度上升,集粉率和含水率呈负相关,在进风温度90℃时,集粉率最高的配方中可实现较高花青素保留率(89.94%)。低频核磁共振波谱以及质子密度图像信息分析表明,加入的助剂与蓝靛果果汁中水分通过氢键、静电结合力和疏水作用等分子间作用力,形成稳定性高水合物、增强液滴聚结抵抗力,提高料液玻璃态转换温度,从而实现高集粉率和高花青素保留率的蓝靛果果粉低温喷雾干燥;红外光谱分析表明,复合助剂可在蓝靛果果粉中形成分子间氢键,并对花青素等活性物质进行固定包埋保护。研究结果可为蓝靛果粉喷雾干燥加工生产提供理论支撑和参考依据。 展开更多
关键词 干燥 理化特性 低温喷雾干燥 复合助剂 蓝靛果 黄金分割法 花青素 核磁共振
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A method of analysing experimental data of nuclear reaction cross sections
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作者 FengJun ShenWen-Qing 《Nuclear Science and Techniques》 SCIE CAS CSCD 1997年第1期10-13,共4页
AmethodofanalysingexperimentaldataofnuclearreactioncrossectionsFengJunandShenWenQing(ShanghaiInstituteofNucl... AmethodofanalysingexperimentaldataofnuclearreactioncrossectionsFengJunandShenWenQing(ShanghaiInstituteofNuclearResearch,the... 展开更多
关键词 原子核反应截面 实验数据 分析方法
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ON THE LIMIT CASE OF THE STEP-REDUCTION METHOD FOR CALCULATING NON-UNIFORM BEAM WITH VARIOUS SECTIONS
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作者 伍炯宇 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1990年第8期795-800,共6页
In this paper, the step reduction method is discussed, which was advanced by Prof. Yeh Kai-yuan for calculating a non-uniform beam with various sections. The following result is proved. The approximate solution by thi... In this paper, the step reduction method is discussed, which was advanced by Prof. Yeh Kai-yuan for calculating a non-uniform beam with various sections. The following result is proved. The approximate solution by this method approaches the true solution if the number of the steps approaches the infinity. However, the measure of the error between the limit solution and the ture solution is not in the pure mathematics sense but in the mechanics sense. 展开更多
关键词 ON THE LIMIT CASE OF THE STEP-REDUCTION method FOR CALCULATING NON-UNIFORM BEAM WITH VARIOUS sectionS
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钢纤维细石混凝土-钢组合板抗弯性能试验研究
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作者 王激扬 刘修良 +2 位作者 王树斌 纪恩文 胡志华 《混凝土》 CAS 北大核心 2024年第1期89-94,共6页
钢纤维细石混凝土是一种具有优异力学性能和良好工作性的高性能混凝土复合材料。本试验针对正交异性钢桥面铺装层裂缝病害问题,对4组采用不同钢筋配筋率和保护层厚度的横桥向钢纤维细石混凝土-钢组合桥面板进行了抗弯破坏试验,研究了组... 钢纤维细石混凝土是一种具有优异力学性能和良好工作性的高性能混凝土复合材料。本试验针对正交异性钢桥面铺装层裂缝病害问题,对4组采用不同钢筋配筋率和保护层厚度的横桥向钢纤维细石混凝土-钢组合桥面板进行了抗弯破坏试验,研究了组合板的荷载-挠度关系与裂缝开展特征;用等效截面法计算了开裂应力、裂缝宽度和钢筋应力,验证了钢纤维细石混凝土-钢组合板的抗裂性能。结果表明:60 mm厚钢纤维细石混凝土铺装层在小配筋率(2.6%)和低于规范要求的保护层厚度(15 mm)条件下呈现出多缝开裂的破坏形态,具备较高的延性和开裂应力,满足规范和工程应用的要求。 展开更多
关键词 钢纤维细石混凝土 组合板 抗弯性能 等效截面法 裂缝宽度
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Two New Identification Methods for Encephalitozoon cuniculi on Tissue Section
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作者 Pan Yaoqian Li Ruizhen +3 位作者 Song Gaojie Zhang Zhonghua Quan Suopei Fu Yanfang 《Animal Husbandry and Feed Science》 CAS 2016年第2期75-78,共4页
[ Objective] The paper aimed to search new identification methods of Encephalitozoon cuniculi on tissue sections. [ Method] Using improved Gram staining method and methyl green pyronin staining method, the pathologica... [ Objective] The paper aimed to search new identification methods of Encephalitozoon cuniculi on tissue sections. [ Method] Using improved Gram staining method and methyl green pyronin staining method, the pathological sections of sick rabbits were stained and identified. [ Result] The pathological changes in brain tissue could be clearly observed on sections, but parasites were not examined in pathological brain tissues stained by common staining method. When the pathological section was stained by improved Gram staining method, the pathological changes in brain tissue were not ouly stained very clearly, but blue parasites were also found in brain tissues. The parasites in epithelioid cells were stained into purple ones by methyl green pyronin staining method. [ Conclusion] The im- proved Gram staining method and methyl green pyronin staining method performed good staining effects of E. cuniculi in pathological sections, which were conducive to rapid diagnosis of encephalitozoonosis in rabbit. 展开更多
关键词 Encephalitozoon cuniculi Improved Gram staining method Methyl green pyronin staining method Pathological tissue section
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Solving multi-object radar cross section based on wide-angle parabolic equation method
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作者 Huang Zhixiang Wu Qiong Wu Xianliang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2006年第4期722-724,共3页
Based on a Pade approximation, a wide-angle parabolic equation method is introduced for computing the multiobject radar cross section (RCS) for the first time. The method is a paraxial version of the scalar wave equ... Based on a Pade approximation, a wide-angle parabolic equation method is introduced for computing the multiobject radar cross section (RCS) for the first time. The method is a paraxial version of the scalar wave equation, which solves the field by marching them along the paraxial direction. Numerical results show that a single wide-angle parabofic equation run can compute multi-object RCS efficiently for angles up to 45 ° . The method provides anew and efficient numerical method for computation electromagnetics. 展开更多
关键词 parabolic equation method Pade approximation radar cross section paraxial direction.
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某在建商业建筑满足承载力要求的消能减震加固设计与分析
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作者 郑锦涛 张先昱 王玉山 《工程抗震与加固改造》 北大核心 2024年第5期98-107,共10页
本文以新疆某商业楼加固工程为背景,针对该建筑工程施工时一、二层梁柱纵向钢筋等级选择与设计要求不符,造成多数框架梁、柱配筋不满足抗震承载力要求的问题,提出了传统加固技术与消能减震技术相结合的加固方案。基于PKPM和ETABS软件,... 本文以新疆某商业楼加固工程为背景,针对该建筑工程施工时一、二层梁柱纵向钢筋等级选择与设计要求不符,造成多数框架梁、柱配筋不满足抗震承载力要求的问题,提出了传统加固技术与消能减震技术相结合的加固方案。基于PKPM和ETABS软件,通过大量数据分析对加固方案进行了优化和调整,同时采用PERFORM-3D软件分析了罕遇地震作用下结构的时程响应。得到结论:(1)减震加固后,结构满足“小震不坏、大震不倒”的设防目标;(2)通过合理布置黏滞阻尼墙,降低了地震作用,大幅度减小了传统加固的用量。 展开更多
关键词 碳纤维布 外包钢法 增大截面法 黏滞阻尼墙 有限元分析
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钢筋混凝土拱桥主拱圈加固方式及效果研究
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作者 徐略勤 潘锐华 +2 位作者 周水兴 岳克锋 沈正璇 《沈阳建筑大学学报(自然科学版)》 CAS 北大核心 2024年第2期250-258,共9页
目的 寻求钢筋混凝土拱桥主拱圈最佳加固方式,以改善加固效果,给同类危旧拱桥加固提供参考。方法 基于某实际加固桥例提出3种不同卸载方式的加固改造方案,采用Midas civil软件建立有限元模型,分析不同加固方式的影响规律;对原拱圈初始... 目的 寻求钢筋混凝土拱桥主拱圈最佳加固方式,以改善加固效果,给同类危旧拱桥加固提供参考。方法 基于某实际加固桥例提出3种不同卸载方式的加固改造方案,采用Midas civil软件建立有限元模型,分析不同加固方式的影响规律;对原拱圈初始应力水平、施工阶段内力、成桥状态下应力、内力及挠度进行分析;利用加固层最大应力比、荷载置换率和挠度变化率对加固效果进行评价。结果 方案三的加固层最大应力比分别比方案一、二大45.12%与52.74%,荷载置换效果最显著,最大值达3.82,挠度变化率最大。结论 选择拱上建筑拆除得越多的方式进行加固,加固效果越好;对钢筋混凝土拱桥进行加固时,应基于加固方式制定加固施工方案,同时需考虑施工工期与加固成本。 展开更多
关键词 钢筋混凝土拱桥 增大截面法 加固方式 加固效果 加固指标 卸载
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光切面法的电力钢管塔法兰肋板焊缝三维重构
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作者 刘源泂 薛海浪 +1 位作者 岳泽宇 汤勃 《机械设计与制造》 北大核心 2024年第1期133-138,共6页
针对电力钢管塔法兰肋板自动焊接中焊缝引导问题,提出一种基于线激光光切面的肋板焊缝三维重构和测量方法。构建面阵相机和线激光测量平台,采用张正友法标定测量模型,建立光平面上点空间坐标和相机图像坐标对应关系。对实物进行光切面... 针对电力钢管塔法兰肋板自动焊接中焊缝引导问题,提出一种基于线激光光切面的肋板焊缝三维重构和测量方法。构建面阵相机和线激光测量平台,采用张正友法标定测量模型,建立光平面上点空间坐标和相机图像坐标对应关系。对实物进行光切面扫描实验,通过测量模型求解对应点空间坐标,基于Visual Studio平台对空间点云三维重构,采用随机采样一致性(RANSAC)迭代法实现肋板所在平面的点云分割,基于法线及k邻域搜索结合的点云边缘提取算法进行边缘提取,以采样点与其k邻所对应投影点连线的最大夹角为判定原则提高点云边界识别精度,最后设计基于统计滤波点云筛选原则实现各目标焊缝的分割。实验结果表明,光切平面测量模型标定后相对误差≤1.46%,焊缝拟合后长度最大绝对误差0.97mm,相对误差≤1.29%,该方法可同时提取两条目标焊缝,具有高效率、低成本等特点。 展开更多
关键词 电力钢管塔 肋板焊缝 光切面法 三维重构 焊缝提取
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基于平行断面法的固体矿产储量估算方法
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作者 宋振华 《矿产勘查》 2024年第10期1851-1857,共7页
常规对于沉积物源型矿床储量的估算多采用剖面法,此方法无法准确确定矿体边界基点位置,使得矿产储量估算的误差较大。而平行断面法适用于沉积物源型矿床,在这种矿床中,矿物的分布规律主要受到物源在空间中的变化影响,因此在构建矿体模型... 常规对于沉积物源型矿床储量的估算多采用剖面法,此方法无法准确确定矿体边界基点位置,使得矿产储量估算的误差较大。而平行断面法适用于沉积物源型矿床,在这种矿床中,矿物的分布规律主要受到物源在空间中的变化影响,因此在构建矿体模型时,可以将不同高程的平面投影在一起,得到一个立体的矿体模型。为此,本文提出基于平行断面法的固体矿产储量估算方法。根据矿体品位与可采厚度,提取目标区的约束边界,依据图形数据结构并结合现行工业指标,确定矿体边界基点位置,继而对矿体边界进行圈定,通过分析矿层变异性,采用平行断面法计算矿体边界内的矿带区域变程,获取矿体块段体积,以此为依据,对矿层移动角与矿体密度进行求取,进而求估算出固体矿产储量。以实际矿区为算例,对所提方法的估算性能进行验证,结果表明,所提方法的估算误差较小,估算结果更具可靠性。 展开更多
关键词 平行断面法 固体矿产 储量估算 估算
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基于区段的地下空间环路通风排烟设计方法
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作者 王洁 赵炳欣 姜学鹏 《隧道建设(中英文)》 CSCD 北大核心 2024年第1期155-162,共8页
为实现多匝道、多地块、内部空间复杂的地下空间环路烟气控制,提出一种区段式排烟方法:将地下空间环路与地块通过防火门分隔,形成独立的构筑物,结合隧道结构,确定风机房位置,划分区段,使烟气在一定区域内排出。以滨江地下环路为例,在隧... 为实现多匝道、多地块、内部空间复杂的地下空间环路烟气控制,提出一种区段式排烟方法:将地下空间环路与地块通过防火门分隔,形成独立的构筑物,结合隧道结构,确定风机房位置,划分区段,使烟气在一定区域内排出。以滨江地下环路为例,在隧道主线上均匀布置6个排烟风机房,并以此为节点,将隧道划分为8个区段。当火灾发生时,开启所在区段两端的风机进行排烟。由于各区段不设置固定分隔,整个风道是贯通的,因而各个风机房里的风机可互相作为备用排烟风机,以降低成本。采用数值模拟软件建立模型,对排烟口开启数量和间距进行模拟,确定排烟量为90 m^(3)/s、排烟口间距为30 m、开启8个排烟口的排烟方案。从人员疏散环境以及排烟效率对典型区段进行分析,结果表明:烟气控制在一定的范围内,人员疏散环境安全,排烟效率达到90%,证明方案合理可行。 展开更多
关键词 火灾烟气控制 地下空间环路 通风排烟设计方法 区段划分
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幂函数形式连续变截面梁振动的弯曲固有频率分析
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作者 张永康 鲍四元 《应用声学》 CSCD 北大核心 2024年第2期330-338,共9页
为给变截面变幅杆弯曲振动提供设计依据,该文使用微分方程解析法求解变截面梁固有频率。首先,建立变截面梁模型,其中截面面积和惯性矩均按幂次函数变化。得到变截面梁自由振动时挠度的解析表达式,并获得不同边界条件下梁弯曲振动的固有... 为给变截面变幅杆弯曲振动提供设计依据,该文使用微分方程解析法求解变截面梁固有频率。首先,建立变截面梁模型,其中截面面积和惯性矩均按幂次函数变化。得到变截面梁自由振动时挠度的解析表达式,并获得不同边界条件下梁弯曲振动的固有频率方程。其中惯性矩所对应幂指数与截面面积的幂指数的差值为4时,可得自振频率方程的精确形式;而幂指数差值不等于4时,给出近似解法。其次,对4种具体的变截面梁求解不同边界下的自振频率,并与瑞利-里兹法所得的自振频率解比较。验证精确解法结果的正确性,并发现近似解法结果的相对偏差在5%以内。该解析方法较瑞利-里兹法具有能快速求解的特点,且易于分析截面参数对梁固有频率的影响。由算例可得,边界和其他参数不变时,梁的同阶次无量纲自振频率随着幂次指数的增加而增加。几何参数中仅截面形状参数改变时,随着形状参数的增加,梁的同阶次无量纲自振频率随之减小,但固定-自由梁的第1阶自振频率除外。 展开更多
关键词 变截面梁 固有频率 微分方程解析法
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柱面坐标计算三重积分的截面法
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作者 张立国 《高等数学研究》 2024年第2期66-68,共3页
文章尝试利用柱面坐标的截面法计算三重积分,为学生理解和掌握三重积分的计算提供一点经验与帮助.
关键词 三重积分 柱面坐标系 截面法
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