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Rectangular Section Control Technology for Silicon Steel Rolling 被引量:5
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作者 Xiao-chen WANG Quan YANG You-zhao SUN 《Journal of Iron and Steel Research International》 SCIE EI CAS CSCD 2015年第3期185-191,共7页
Rectangular section control technology (RSCT) was introduced to achieve high-precision profile control during silicon steel rolling. The RSCT principle and method were designed, and the whole RSCT control strategy w... Rectangular section control technology (RSCT) was introduced to achieve high-precision profile control during silicon steel rolling. The RSCT principle and method were designed, and the whole RSCT control strategy was developed. Specifically, RSCT included roll contour design, roiling technology optimization, and control strategy development, aiming at both hot strip mills (HSMs) and cold strip mills (CSMs). Firstly, through the high-performance variable crown (HVC) work roll optimization design in the upper-stream stands and the limited shifting technology for schedule-free rolling in the downstream stands of HSMs, a hot strip with a stable crown and limited wedge, :local spot, and single wave was obtained, which was suitable for cold rolling. Secondly, an approximately rectangular section was obtained by edge varying contact (EVC) work roll contour design, edge-drop setting control, and. closed loop control in the upper-stream, stands of CSMs. Moreover, complex-mode flatness control was realized by coordinating multiple shape-control methods in the downstream stands of CSMs. In addition, the RSCT approach was applied in several silicon-steel production plants, where an outsicanding performance and remarkable economic benefits were observed. 展开更多
关键词 silicon steel rectangular section control technology hot rolling cold rolling edge drop
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Sensitivity of springback and section deformation to process parameters in rotary draw bending of thin-walled rectangular H96 brass tube 被引量:10
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作者 ZHU Ying-xia LIU Yu-li YANG He 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2012年第9期2233-2240,共8页
In order to study the effects of the process parameters on springback and section deformation,a sensitivity analysis model was established based on the combination use of the multi-parameter sensitivity analysis metho... In order to study the effects of the process parameters on springback and section deformation,a sensitivity analysis model was established based on the combination use of the multi-parameter sensitivity analysis method and the springback/section deformation prediction finite element model,and by using this model the sensitivities of the springback and the section deformation to process parameters were analyzed and compared.The results show that the most sensitive process conditions for springback angle are the boost speed and the pressure of pressure die,and the most sensitive process condition for section deformation is the number of cores.When the clamp force,the boost speed and the pressure of pressure die are utilized to control section deformation,the effect of these process parameters on springback should be considered.When the process parameters are mainly used to control springback,the effect of these process parameters on the section deformation should be always considered. 展开更多
关键词 thin-walled rectangular H96 brass tube rotary draw bending sensitivity analysis SPRINGBACK section deformation
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Influence of Axial Feeding on Hydroforming of Aluminum Alloy Tubular Part with Rectangular Section 被引量:2
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作者 宋鹏 王小松 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2009年第S1期190-194,共5页
The hydroforming experiment of aluminum tubular part with rectangular section was carried out to investigate influence of axial feeding on thickness distribution and calibration pressure of the corner.Thickness distri... The hydroforming experiment of aluminum tubular part with rectangular section was carried out to investigate influence of axial feeding on thickness distribution and calibration pressure of the corner.Thickness distribution and relation between corner radius and internal pressure were analyzed.The influence of lubricant was discussed.Microstructure and hardness of different region were observed.It is shown that thickness reduction in the transition region between the corner and center region is the biggest.Friction condition has influence both on the thickness distribution and calibration pressure of the corner.As the increase of the axial feeding,the calibration pressure is decreased.There is only little change for the microstructure,but the hardness is increased by 23.3% for the transition region. 展开更多
关键词 HYDROFORMING internal high pressure forming aluminum alloy rectangular section corner filling
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Research and application of approximate rectangular section control technology in hot strip mills 被引量:2
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作者 Hai-nan He Jian Shao +4 位作者 Xiao-chen Wang Quan Yang Yang Liu Dong Xu You-zhao Sun 《Journal of Iron and Steel Research International》 SCIE EI CAS CSCD 2021年第3期279-290,共12页
Profile requirements of silicon steel strip are extremely high and the thickness difference of cold-rolled products is usually less than 7μm,and the profile quality of hot-rolled strip is the key to ensure the thickn... Profile requirements of silicon steel strip are extremely high and the thickness difference of cold-rolled products is usually less than 7μm,and the profile quality of hot-rolled strip is the key to ensure the thickness difference of cold-rolled products.In order to produce the silicon steel strip with high-precision shape,the concept of quasi-rectangular rolling during hot continuous rolling was put forward;the equipment configuration and technical method of approximate rectangular section control were studied.Through the roughing multi-target load distribution technology and the roll configuration technology for uniform wear of a 4-high rolling mill,the strip crown of transfer bar was reduced and the profile control stability was guaranteed.Configuring variable contact back-up roll technology on all stands in the finishing rolling process,equipped with symmetry variable taper work roll and long-stroke intelligent shifting strategy in the downstream stands,and using side rolling lubrication technology can make the roll wear more uniform,reduce the edge drop of silicon steel strip,improve the profile quality,and make the strip section of finishing exit"quasi-rectangular".In addition,induction furnace and side heater were also equipped to guarantee the temperature uniformity of the strip,so as to improve the stability of profile control.The whole control technology is based on the 1580-mm hot continuous rolling production line,designed,and developed according to the characteristics of equipment and products,and has been successfully applied,which can obtain the approximate rectangular strip section satisfying the flatness quality,and improve the strip section precision of silicon steel and other products. 展开更多
关键词 Approximate rectangular section Hot strip mill Transfer bar Roll contour Shifting strategy Profile control
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ANALYTICAL SOLUTION OF RESTRAINED TORSIONAL STRESSES AND DISPLACEMENT FOR RECTANGULAR- SECTION BOX BAR WITH HONTYCOMB CORE
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作者 张英世 张行 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2004年第7期779-785,共7页
Differential equation of restrained torsion for rectangular-section box bar with honeycomb core was established and solved by using the method of undetermined function.Non-dimension normal stress, shear stress acting... Differential equation of restrained torsion for rectangular-section box bar with honeycomb core was established and solved by using the method of undetermined function.Non-dimension normal stress, shear stress acting in the faceplate and shear stress acting in the honeycomb-core and warping displacement were deduced. Numerical analysis shows the normal stress attenuates quickly along x-axis. Normal stress acting on the cross section at a distance of 20 h from the fixed end is only one per cent of that acting on the fixed end. 展开更多
关键词 honeycomb structure constrain TWIST attenuation rectangular section box bar normal stress shear stress warping displacement
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Spontaneous emission of a moving atom in a waveguide of rectangular cross section
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作者 曾静 卢竞 周兰 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第2期92-96,共5页
We study the spontaneous emission(SE) of an excited nonrelativistic two-level system(TLS) interacting with the vacuum in a waveguide of rectangular cross section. All TLS’s transitions and the center-of-mass motion o... We study the spontaneous emission(SE) of an excited nonrelativistic two-level system(TLS) interacting with the vacuum in a waveguide of rectangular cross section. All TLS’s transitions and the center-of-mass motion of the TLS are taken into account. The SE rate and the carried frequency of the emitted photon for the TLS initially being at rest are obtained, it is found that in the first order of the mass M, the frequency of the emitted photon is smaller than the transition frequency of the TLS and the SE rate is smaller than the SE rate Γfof the TLS fixed in the same waveguide. The SE rate for the TLS initially being moving is obtained in the second order of the mass M. The SE rate is smaller than Γfbut it is dependent not only on the atomic mass but also on the initial momentum. The carried frequency of the emitted photon is decreased when it travels along the direction of the initial momentum, whereas it is increased when it travels in the opposite direction of the initial momentum. 展开更多
关键词 spontaneous emission moving atom waveguide of rectangular cross section
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The Possibilities of Determining the Effective Thermal Conductivity of Steel Rectangular Section Bundles Based on the Selected Literature Models
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作者 Rafal Wyczolkowski Agnieszka Benduch 《Journal of Physical Science and Application》 2016年第4期48-58,共11页
The article presents the results of calculations of the effective thermal conductivity kef for bundles of steel rectangular sections obtained for a few analytical models. This coefficient expresses the ability of the ... The article presents the results of calculations of the effective thermal conductivity kef for bundles of steel rectangular sections obtained for a few analytical models. This coefficient expresses the ability of the bundles to heat transfer. The knowledge about the values of the kef coefficient of the section bundles is essential to correctly identify the parameters of their heat treatment process. The quality of the Calculation results were verified by the experimental measurement data. These measurements were performed in the guarded hot plate apparatus. It should be noted, that none of the eleven analyzed models of effective thermal conductivity is suitable for evaluation of thermal properties of the section bundles. 展开更多
关键词 Effective thermal conductivity steel rectangular sections heat treatment porous charge.
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Physical Principles of Optimization of the Static Regime of a Cantilever-Type Power-effect Sensor with a Constant Rectangular Cross Section
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作者 Petro Kosobutskyy Mariia Kuzmynykh Yaroslav Matviychuk 《Journal of Electronic Research and Application》 2018年第5期11-15,共5页
In this paper an analysis of the physical principles of two-criterion optimization Pareto static mode of operation of power sensors cantilever type of rectangular type with a stable cross-section.The proposed criterio... In this paper an analysis of the physical principles of two-criterion optimization Pareto static mode of operation of power sensors cantilever type of rectangular type with a stable cross-section.The proposed criterion based on the Cauchy number is one of the characteristic numbers of the proportional miniaturization of microsystem technology.It is established that,for a rectangular cantilever with a stable cross-section,the value of the Cauchy does not depend on the width of the microconsole and the material from which it is made. 展开更多
关键词 physical PRINCIPLES CAUCHY number rectangular cross section
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PLASTIC POST-BUCKLING OF A SIMPLY SUPPORTED COLUMN WITH A SOLID RECTANGULAR CROSS-SECTION
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作者 程尧舜 卢文达 方红 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1995年第8期713-722,共10页
The plastic post-buckling of a simply supported column with a solid rectangularcross-section is analysed by a new approach. High order terms in the asymptotic post-buckling expansions are carried out. In some aspect... The plastic post-buckling of a simply supported column with a solid rectangularcross-section is analysed by a new approach. High order terms in the asymptotic post-buckling expansions are carried out. In some aspects, the method proposed in thispaper is similar io Hutchinson's. However, the computation is simple since theintroduction is avoided of stretched coordinates. The method can be used to analyseinitial post-bifurcation of plates and shells in the plastic range. 展开更多
关键词 plastic post-buckling PERTURBATION columns of rectangular cross-section
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Saint-Venant torsion analysis of bars with rectangular cross-section and effective coating layers
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作者 H.TEIMOORI R.T.FAAL R.DAS 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2016年第2期237-252,共16页
This paper investigates the torsion analysis of coated bars with a rectangular cross-section. Two opposite faces of a bar are coated by two isotropie layers with different materials of the original substrate that are ... This paper investigates the torsion analysis of coated bars with a rectangular cross-section. Two opposite faces of a bar are coated by two isotropie layers with different materials of the original substrate that are perfectly bonded to the bar. With the Saint- Venant torsion theory, the governing equation of the problem in terms of the warping function is established and solved using the finite Fourier cosine transform. The state of stress on the cross-section, warping of the cross-section, and torsional rigidity of the bar are evaluated. Effects of thickness of the coating layers and material properties on these quantities are investigated. A set of graphs are provided that can be used to determine the coating thicknesses and material properties so as to keep the maximum von Mises stress on the cross-section below an allowable value for effective use of the coating layer. 展开更多
关键词 Saint-Venant torsion rectangular cross-section coating layer torsional rigidity
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Numerical simulation of small section rectangular tube in parallel welding
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作者 王俊恒 高洪明 +1 位作者 张广军 吴林 《China Welding》 EI CAS 2007年第3期71-78,共8页
The welding temperature field and deformation of parallel arrangement small-section rectangular tubes is calculated by using a non-contact model. After comparing the computed results with the experimentally measured r... The welding temperature field and deformation of parallel arrangement small-section rectangular tubes is calculated by using a non-contact model. After comparing the computed results with the experimentally measured results, it shows that there exist big errors when applying this model to the numerical simulation of small-section rectangular tube' s welding temperature field and deformation. Based on a simple analysis of the errors, a contact model is presented. The heat transfer and stress analysis between small-section rectangular tubes and clamping fixture are simulated by using direct constraints method, and then the laws of the temperature distribution, which coincide with experiment, are obtained. A further numerical analysis of the stress and deformation are made, it shows that a "T" shaped stress-field is formed in the vicinity of the weld. As the stress-field departs from the centroid of tubes', this leads to the small rectangular tubes not only have a longitudinal deflection, but also have a transverse bending and deformation. 展开更多
关键词 small-section rectangular tube CONTACT direct constraints method STRAIN DEFORMATION
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Brief Introduction of Shallow Soil Jacking Construction Method of Large Section Rectangular Pipe Jacking Machine
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作者 CHAIJianping 《外文科技期刊数据库(文摘版)工程技术》 2022年第3期065-069,共5页
The first permanent magnet driven rectangular pipe jacking machine independently developed in China is used for the construction of pedestrian passage in Banxuegang Science and Technology City area of Shenzhen. The re... The first permanent magnet driven rectangular pipe jacking machine independently developed in China is used for the construction of pedestrian passage in Banxuegang Science and Technology City area of Shenzhen. The rectangular pipe jacking machine occupies a small area during the initial excavation. It is suitable for shallow soil covering and short-distance excavation. It is more economical and applicable than shield machine and has high construction efficiency. During the construction process, technical measures such as attitude measurement and adjustment of pipe jacking machine, surrounding rock grouting and friction reduction can effectively ensure the smooth construction of pipe jacking machine, and provide reference for large section pipe jacking machine in shallow soil construction. 展开更多
关键词 large section rectangular pipe jacking machine shallow overburden construction method
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低压磨料空气射流喷嘴磨损特性及影响因素
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作者 张宏图 马欣悦 +3 位作者 魏建平 刘勇 叶红燕 李博涛 《煤炭学报》 北大核心 2026年第2期1325-1341,共17页
低压磨料空气射流作为新型辅助破岩技术,在2 MPa压力下通过矩形截面喷嘴实现磨料的超声速喷射,提升破岩效率。但磨料与喷嘴内壁的碰撞磨损会影响射流稳定性及效率,为明确低压磨料空气射流中结构参数对喷嘴磨损特性的影响,采用CFD-DEM耦... 低压磨料空气射流作为新型辅助破岩技术,在2 MPa压力下通过矩形截面喷嘴实现磨料的超声速喷射,提升破岩效率。但磨料与喷嘴内壁的碰撞磨损会影响射流稳定性及效率,为明确低压磨料空气射流中结构参数对喷嘴磨损特性的影响,采用CFD-DEM耦合方法,结合Archard Wear模型,对不同结构参数的拉瓦尔(Laval)矩形截面喷嘴内流体进行数值模拟,研究收敛段长度、喉部尺寸和扩张段长度对喷嘴磨损的影响。基于Box-Behnken试验设计方法构建二阶响应面模型,量化各结构参数对喷嘴磨损的显著性影响,并提出优化喷嘴结构设计。结果表明:矩形喷嘴的磨损主要集中于收敛段后端和扩张段前端,其中扩张段磨损区域呈U型分布;收敛段长度与最大磨损深度呈负相关,收敛段从10 mm增至30 mm时,磨损深度由1.25×10^(-5)mm降至2.82×10^(-6)mm,降幅达77.4%;喷嘴的最大磨损深度与喉部尺寸呈负相关,而随着喉部尺寸的增加,粒子最大射出速度先增大后减小;随着扩张段延长,喷嘴最大磨损深度先增大后缓慢减小,粒子最大射出速度逐渐增加;通过响应面分析可知,喷嘴的最大磨损深度对收敛段长度敏感度最高,扩张段长度对粒子最大射出速度影响最显著;优化后的喷嘴参数为收敛段30 mm、喉部3.12 mm×10.38 mm、扩张段157 mm,较标准喷嘴磨损深度降低68.87%,磨料粒子射出最大速度提升5.83%,实现了低磨损与高效率的平衡。 展开更多
关键词 磨料空气射流 矩形截面喷嘴 喷嘴结构 喷嘴磨损 响应面分析
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全断面矩形掘进机刀盘设计及其稳定截割岩样截割特性试验研究
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作者 李强 刘送永 王焱 《中国机械工程》 北大核心 2026年第2期487-497,共11页
针对现有煤矿巷道全断面矩形掘进机刀盘形式复杂、全断面一次掘进成形困难等问题,提出了一种基于勒洛三角形运动原理实现矩形截割的方法,设计了一种基于所提方法的偏心轴行星齿轮驱动勒洛三角形单刀盘,进行了运动轨迹仿真,搭建了全断面... 针对现有煤矿巷道全断面矩形掘进机刀盘形式复杂、全断面一次掘进成形困难等问题,提出了一种基于勒洛三角形运动原理实现矩形截割的方法,设计了一种基于所提方法的偏心轴行星齿轮驱动勒洛三角形单刀盘,进行了运动轨迹仿真,搭建了全断面矩形刀盘截割试验台,进行了稳定截割状态下的多组试验。试验结果表明:中心鱼尾刀能增加截割过程的稳定性,较大程度地减小了X、Y、Z方向的振动,减小幅度最小达42.107%,最大达51.753%;进行了11组不同截割参数下的稳定截割岩样试验,得到了扭矩、油压与截割参数的变化关系,提出了设备经济截割参数区域的概念,确定了在试验岩样下所设计的刀盘经济截割参数区域为:转速n(N-p)min=[6.6,9.8]r/min,掘进速度v(N-p)min=[14.25,18.3]mm/min;对截割后的岩样断面轮廓进行三维扫描、重构和比对,得到理论断面、仿真断面、试验断面与标准正方形之间的图形差异率依次为3.18%、5.09%、6.64%,验证了该刀盘实现矩形截割的可行性。 展开更多
关键词 全断面 矩形 掘进机 截割特性 图形差异率 经济截割区域
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基于动力学模态分解的小厚宽比矩形截面的风压场研究
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作者 陈伏彬 祝瑜哲 左小伟 《湖南大学学报(自然科学版)》 北大核心 2026年第1期160-172,共13页
为探究小厚宽比(D/B<1.0)矩形截面的风荷载特性,选择了截面面积固定、厚宽比在0.25~1.00范围内变化的三维模型.利用基于空间平均的大涡模拟方法,首先得到4种厚宽比模型的气动力系数,以及模型不同立面的水平脉动风压相关系数,随后对... 为探究小厚宽比(D/B<1.0)矩形截面的风荷载特性,选择了截面面积固定、厚宽比在0.25~1.00范围内变化的三维模型.利用基于空间平均的大涡模拟方法,首先得到4种厚宽比模型的气动力系数,以及模型不同立面的水平脉动风压相关系数,随后对比分析了厚宽比对模型侧面测点风压的乘积时程峰值及相位的影响.最后基于动力学模态分解(dynamic mode decomposition,DMD)方法建立了能够提取主要模态并重构风压场的降阶模型,对不同厚宽比模型的风压场进行分析.结果表明:厚宽比的降低会影响模型侧面的分离再附,改变风荷载作用机制,显著降低脉动风压的水平相关性,其中0.25厚宽比模型效果最为显著,在侧面再附长度约0.6B位置处为风压脉动特性的转捩点,转捩点上、下游风压时程呈现反相位且负相关特征.DMD方法提取的前4阶模态能够准确重构流场,阐明小厚宽比模型的随机风压场.本研究为相关流动控制和结构设计提供参考. 展开更多
关键词 动力学模态分解 厚宽比 矩形截面 脉动风压相关性 大涡模拟 气动性能
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基于有限元的不同类型钢管混凝土矩形柱受压性能研究
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作者 张宁 闫广怡 +1 位作者 郑嘉蕊 郝奕菲 《赤峰学院学报(自然科学版)》 2026年第3期28-37,共10页
通过ABAQUS有限元软件,对普通矩形钢管混凝土柱、二分室矩形钢管混凝土柱和四分室矩形钢管混凝土柱进行有限元分析,得到三种类型钢管混凝土矩形截面柱的荷载-挠度曲线,分析混凝土强度、长细比、偏心距、钢管厚度等因素对三种类型钢管混... 通过ABAQUS有限元软件,对普通矩形钢管混凝土柱、二分室矩形钢管混凝土柱和四分室矩形钢管混凝土柱进行有限元分析,得到三种类型钢管混凝土矩形截面柱的荷载-挠度曲线,分析混凝土强度、长细比、偏心距、钢管厚度等因素对三种类型钢管混凝土矩形截面柱受压承载能力的影响。结果表明,四分室矩形钢管混凝土柱具有更高的承载能力。 展开更多
关键词 钢管混凝土柱 矩形 受压性能 有限元
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软弱围岩条件下矩形断面掘进巷道围岩控制技术研究
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作者 穆大明 《能源与节能》 2026年第4期180-182,共3页
针对48608进风顺槽地压高、围岩软、构造复杂等问题,开展适配于矩形断面掘进巷道的围岩控制技术研究,构建锚杆-锚索-钢带联合支护体系,提出掘锚一体、控顶距闭环、特殊段注浆加固等措施,以强化支护时效性与结构完整性,实现了高风险段围... 针对48608进风顺槽地压高、围岩软、构造复杂等问题,开展适配于矩形断面掘进巷道的围岩控制技术研究,构建锚杆-锚索-钢带联合支护体系,提出掘锚一体、控顶距闭环、特殊段注浆加固等措施,以强化支护时效性与结构完整性,实现了高风险段围岩的稳定可控。 展开更多
关键词 软弱围岩 矩形断面 掘锚一体 控顶距
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大断面矩形顶管施工控制技术
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作者 田冰雨 《中国厨卫》 2026年第1期93-96,共4页
针对高密度城区地下通道建设,文章旨在通过大断面矩形顶管施工全过程精准控制技术,解决传统明挖法引发的交通中断、管线破坏及地层扰动问题。该技术采用土压平衡式顶管机结合工厂化预制管节的方式,通过端头高压旋喷桩加固、动态土仓压... 针对高密度城区地下通道建设,文章旨在通过大断面矩形顶管施工全过程精准控制技术,解决传统明挖法引发的交通中断、管线破坏及地层扰动问题。该技术采用土压平衡式顶管机结合工厂化预制管节的方式,通过端头高压旋喷桩加固、动态土仓压力调控、轴线实时纠偏及同步触变泥浆注浆等核心工艺,实现覆土3.3~11.0 m复杂地层中总长328.1 m的双通道精准顶进。结果表明,该技术成功穿越既有地铁隧道(最小净距7.75 m),地表沉降控制在±10 mm内,工期较盾构法缩短35%,总投资降低21%,废浆排放减少62%,为城市地下空间绿色建造提供了高效解决方案。 展开更多
关键词 大断面矩形顶管 施工控制技术 非开挖施工 沉降控制
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大断面矩形顶管穿越废弃柔性污水管道施工技术研究
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作者 魏坤华 《工程建设与设计》 2026年第6期146-148,共3页
针对全断面砂层地质条件下大断面矩形顶管直接磨穿柔性废弃污水管道的施工难题,结合广州地铁14号线二期创意园地铁车站出入口工程实例,研究采用矩形土压平衡顶管机,配套废弃管道精准探测、封堵泄压、分段切割与混合浆液填充等处理措施,... 针对全断面砂层地质条件下大断面矩形顶管直接磨穿柔性废弃污水管道的施工难题,结合广州地铁14号线二期创意园地铁车站出入口工程实例,研究采用矩形土压平衡顶管机,配套废弃管道精准探测、封堵泄压、分段切割与混合浆液填充等处理措施,并严格控制顶进参数。实践证明,该施工方法可实现顶管安全穿越,未引发地面沉降或管线损坏,验证了该技术方案的可行性与安全性。 展开更多
关键词 大断面矩形顶管 柔性污水管道 全断面砂层 施工技术 风险控制
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Solution of rectangular bar forging with bulging of sides by strain rate vector inner-product
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作者 王磊 金文忠 +1 位作者 赵德文 刘相华 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2011年第6期1367-1372,共6页
Abstract:ools. The effective strain rate for for determining the total pressure developed during forging of a rectangular bar forging with bulging was expressed in terms of four-dimensional strain rate vector. The in... Abstract:ools. The effective strain rate for for determining the total pressure developed during forging of a rectangular bar forging with bulging was expressed in terms of four-dimensional strain rate vector. The inner-product of the vector was termwise integrated and summed. The integral mean value theorem was applied to determining the ratio of the strain rate components and the values of direction cosine of the vector and then an analytical solution of stress effective factor was obtained. The compression experiments of pure lead bar were performed to test the accuracy of the solution. The optimized results of total pressure by golden section search were compared with those of the indicator readings of the testing machine. It indicates that the optimized total pressures are 2.60%-10.14% higher than those measured. The solution is available and still an upper-bound solution. 展开更多
关键词 rectangular bar forging BULGING strain rate vector inner-product golden section search
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