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The effect of sintering and cooling process on geometry distortion and mechanical properties transition of PTFE/Al reactive materials 被引量:12
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作者 Hai-fu Wang Bao-qun Geng +3 位作者 Huan-guo Guo Yuan-feng Zheng Qing-bo Yu Chao Ge 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2020年第3期720-730,共11页
In this research,the effect of the sintering and cooling process on geometry distortion and mechanical properties of PTFE/Al reactive material is investigated.Six particularly selected sintering temperatures,three dif... In this research,the effect of the sintering and cooling process on geometry distortion and mechanical properties of PTFE/Al reactive material is investigated.Six particularly selected sintering temperatures,three different cooling modes(annealing cooling,normalizing cooling and rapid cooling),three different initial cooling temperature s,as well as six different final cooling temperatures were designed to compare the effects of sintering temperature,cooling rate,initial cooling temperature and final cooling temperature on the properties of reactive materials.Geometry distortion was quantitatively analyzed by a statistic on the dimensional changes of the specimens and microscopic morphology.A mechanical response properties transition from brittle to ductile was found and analyzed.By combining the thermodynamic properties of PTFE and unsteady heat conduction theory,mechanisms of cooling induced morphology change,temperature induced distortion and strength decrease were obtained.The results showed that the cooling rate has the most significant effect on the morphology transformation,while initial cooling temperature has more significant effect on the dimensional distortion than final cooling temperature.As to the mechanical properties transition from brittle to plastic,a more prominent effect of initial cooling temperature than cooling rate and final temperature was revealed. 展开更多
关键词 Reactive material SINTERING COOLING geometry distortion mechanical properties
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A DIFFERENTIAL GEOMETRIC DESCRIPTION FOR TIME-INDEPENDENT CHETAEV'S NONHOLONOMIC MECHANICAL SYSTEM WITH UNILATERAL CONSTRAINTS 被引量:4
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作者 Zhang Yi (Department of Urban Constrution,University of Science & Technology of Suzhou,Suzhou 215011,China)Mei Fengxiang (Department of Applied Mechanics,Beijing Institute of Technology,Beijing 100081,China) 《Acta Mechanica Solida Sinica》 SCIE EI 2002年第1期62-67,共6页
By applying the framework of the tangent bundle geometry to the method of Lagrange multi- pliers,a geometric description of Chetaev's nonholonomic systems subjected to unilateral nonholonomic con- straints trod un... By applying the framework of the tangent bundle geometry to the method of Lagrange multi- pliers,a geometric description of Chetaev's nonholonomic systems subjected to unilateral nonholonomic con- straints trod unilateral holonomic constraints respectively in time-independent circumstances is presented. 展开更多
关键词 analytical mechanics unilateral constraint differential geometry nonholonomic constraint tangent bundle geometry
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A geometric framework for time-dependent mechanical systems with unilateral constraints 被引量:1
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作者 张毅 梅凤翔 《Chinese Physics B》 SCIE EI CAS CSCD 2006年第1期13-18,共6页
The description of modern differential geometry for time-dependent Chetaev nonholonomic mechanical systems with unilateral constraints is studied. By using the structure of exact contact manifold, the geometric framew... The description of modern differential geometry for time-dependent Chetaev nonholonomic mechanical systems with unilateral constraints is studied. By using the structure of exact contact manifold, the geometric framework of time- dependent nonholonomic mechanical systems subject to unilateral nonholonomic constraints and unilateral holonomic constraints respectively is presented. 展开更多
关键词 analytical mechanics TIME-DEPENDENT unilateral constraint differential geometry
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Effect of fractures on mechanical behavior of sand powder 3D printing rock analogue under triaxial compression
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作者 LI Pi-mao JIANG Li-shuai +5 位作者 WEN Zhi-jie WU Chao-lei YANG Yi-ming PENG Xiao-han WU Quan-sen WU Quan-lin 《Journal of Central South University》 SCIE EI CAS CSCD 2024年第8期2703-2716,共14页
In practical engineering applications,rock mass are often found to be subjected to a triaxial stress state.Concurrently,defects like joints and fractures have a notable impact on the mechanical behavior of rock mass.S... In practical engineering applications,rock mass are often found to be subjected to a triaxial stress state.Concurrently,defects like joints and fractures have a notable impact on the mechanical behavior of rock mass.Such defects are identified as crucial contributors to the failure and instability of the surrounding rock,subsequently impacting the engineering stability.The study aimed to investigate the impact of fracture geometry and confining pressure on the deformation,failure characteristics,and strength of specimens using sand powder 3D printing technology and conventional triaxial compression tests.The results indicate that the number of fractures present considerably influences the peak strength,axial peak strain and elastic modulus of the specimens.Confining pressure is an important factor affecting the failure pattern of the specimen,under which the specimen is more prone to shear failure,but the initiation,expansion and penetration processes of secondary cracks in different fracture specimens are different.This study confirmed the feasibility of using sand powder 3D printing specimens as soft rock analogs for triaxial compression research.The insights from this research are deemed essential for a deeper understanding of the mechanical behavior of fractured surrounding rocks when under triaxial stress state. 展开更多
关键词 sand powder 3D printing triaxial compression confining pressure fracture geometry mechanical behavior
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Type Synthesis of 4-DOF Parallel Kinematic Mechanisms Based on Grassmann Line Geometry and Atlas Method 被引量:22
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作者 XIE Fugui LI Tiemin LIU Xinjun 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2013年第6期1073-1081,共9页
Many methods are proposed to deal with the type synthesis of parallel kinematic mechanisms(PKMs), but most of them are less intuitive to some extent. Thus, to propose a concise and intuitive type synthesis method fo... Many methods are proposed to deal with the type synthesis of parallel kinematic mechanisms(PKMs), but most of them are less intuitive to some extent. Thus, to propose a concise and intuitive type synthesis method for engineering application is a very challenging issue, which should be further studied in the field. Grassmann line geometry, which can investigate the dimensions of spatial line-clusters in a concise way, is taken as the mathematic foundation. Atlas method is introduced to visually describe the degrees of freedom(DOFs) and constraints of a mechanism, and the dual rule is brought in to realize the mutual conversion of the freedom-space and constraint-space. Consequently, a systematic method based on Grassmann line geometry and Atlas method is generated and the entire type synthesis process is presented. Three type 4-DOF PKMs, i.e., 1T3R, 2T2R and 3T1R(T: translational DOF; R: rotational DOF), are classified according to the different combinations of the translational DOFs and rotational DOFs. The type synthesis of 4-DOF PKMs is carried out and the possible configurations are thoroughly investigated. Some new PKMs with useful functions are generated during this procedure. The type synthesis method based on Grassmann line geometry and Atlas method is intuitive and concise, and can reduce the complexity of the PKMs' type synthesis. Moreover, this method can provide theoretical guidance for other PKMs' type synthesis and engineering application. A novel type synthesis method is proposed, which solves the existing methods' problems in terms of complicated, not intuitive and unsuitable for practical application. 展开更多
关键词 type synthesis parallel kinematic mechanism Grassmann line geometry atlas method
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INVESTIGATION INTO EFFECT OF SPRING PRESSURE ON PERFORMANCE OF BALANCED MECHANICAL SEALS 被引量:8
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作者 SUN Jianjun GU Boqin 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2007年第3期39-43,共5页
The loads acting on the sealing elements of balanced mechanical seals are analyzed. When the balance factor approaches the back pressure factor, the spring pressure will become main part of the face pressure. The leak... The loads acting on the sealing elements of balanced mechanical seals are analyzed. When the balance factor approaches the back pressure factor, the spring pressure will become main part of the face pressure. The leakage model of balanced mechanical seals is established on the base of M-B model for rough surface. Several GY-70 type balanced mechanical seals are tested. The influences of the spring pressure both on the leakage rate and on the friction characteristic of balanced mechanical seals are investigated. The research results indicate that as spring pressure increases, both the clear-ance between two end faces and the leakage rate will decrease, and the friction will be more serious because lubrication medium between the rotating ring and the stationary ring reduces, though the increase of the spring pressure may not be enough to change the face friction state of mechanical seals. There exists an optimum spring pressure for mechanical seal operation. Under this spring pres-sure, not only leakage rate is small, but also the seal end surfaces have a fine friction characteristic. Under different operating conditions, identical type mechanical seals may possess different spring pressure. Appropriate selection of spring pressure is valuable to realize long-period and small leakage rate operating of balanced mechanical seals. 展开更多
关键词 Balanced mechanical seal Spring pressure Leakage rate Friction characteristic Fractal geometry
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A MEMS electro-mechanical co-optimization platform featuring freeform geometry optimization based on a genetic algorithm
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作者 Chen Wang Xinyu Wu +8 位作者 Sina Sadeghpour Milad Shojaeian Linlin Wang Bernardo Pereira Madeira Yangyang Guan Huafeng Liu Yuan Wang Pan Zhang Pui-in Mak 《Microsystems & Nanoengineering》 2025年第2期367-384,共18页
This paper describes a novel,system-level design methodology based on a genetic algorithm(GA)using freeform geometries for microelectromechanical systems(MEMS)devices.The proposed method can concurrently design and co... This paper describes a novel,system-level design methodology based on a genetic algorithm(GA)using freeform geometries for microelectromechanical systems(MEMS)devices.The proposed method can concurrently design and co-optimize the electronic and mechanical parts of a MEMS device comprising freeform geometries to achieve a better system performance,i.e.,a high sensitivity,a good system stability,and large fabrication tolerances.Also,the introduction of freeform geometries allows higher degrees of freedom in the design process,improving the diversity and potentially the performance of the MEMS devices.A MEMS accelerometer comprising a freeform mechanical motion preamplifier in a closed-loop control system is presented to demonstrate the effectiveness of the design approach.The optimization process shows the main figure-of-merit(FOM)is improved by 195%.In the mechanical component alone(open-loop system),the product of sensitivity and bandwidth has improved by 151%,with sensitivity increasing by 276%.For closed-loop performance,there is an improvement of 120%for the ratio of open and closed-loop displacements.The product of sensitivity and bandwidth is improved by 27%in the closed-loop system.Excellent immunities to fabrication errors and parameter mismatch are achieved.Experiments show that the displacement of the MEMS accelerometer in the closed-loop system decreased by 86%with 4.85 V feedback voltage compared with that in the open-loop system under a 1 g 100 Hz acceleration input.The static and dynamic nonlinearities in the closed-loop system are improved by 64%and 61%,respectively,compared with those in the open-loop system,in the±1 g acceleration input range.Besides,the closed-loop system improves the cross-axis sensitivity by 18.43%,compared with that in the open-loop system.It is the first time a closed-loop system for a MEMS accelerometer comprising a mechanical motion preamplifier is successfully implemented experimentally. 展开更多
关键词 genetic algorithm higher degrees freedom microelectromechanical systems mems devicesthe electronic mechanical parts MEMS freeform geometries genetic algorithm ga using mems device
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Effect of rotary direction and speed on mechanical properties in friction stir spot welding of A6061 sheets e
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作者 宋骁 邢丽 +3 位作者 卜文德 刘奋成 黄春平 柯黎明 《China Welding》 EI CAS 2013年第3期18-24,共7页
Friction stir spot welding of A6061 sheets was conducted using a tool with thread pin. The hook geometries, hook formation and mechanical properties of the joints welded with different rotary directions and speeds wer... Friction stir spot welding of A6061 sheets was conducted using a tool with thread pin. The hook geometries, hook formation and mechanical properties of the joints welded with different rotary directions and speeds were investigated. The results show that the hook in the joint welded in clockwise was curved upwards and that in anticlockwise was curved downwards. The hook formation was related to the plastic material flow in the joint. With increasing the rotary speed in clockwise direction, the hook moved upwards and far way from the center of the keyhole, resulting in an increase in the effective weld width and a decrease in the effective sheet thickness. Three types of fractuces were observed and they were affected by the hook geometries. The tensile shear load increased firstly and then decreased when the rotary speed increased in clockwise direction, which was related to the hook geometries. 展开更多
关键词 friction stir spot welding rotary direction rotary speed hook geometries mechanical properties
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Geometry of time-dependent PT-symmetric quantum mechanics
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作者 Da-Jian Zhang Qing-hai Wang Jiangbin Gong 《Chinese Physics B》 SCIE EI CAS CSCD 2021年第10期47-55,共9页
A new type of quantum theory known as time-dependent𝒫PT-symmetric quantum mechanics has received much attention recently.It has a conceptually intriguing feature of equipping the Hilbert space of a𝒫PT-... A new type of quantum theory known as time-dependent𝒫PT-symmetric quantum mechanics has received much attention recently.It has a conceptually intriguing feature of equipping the Hilbert space of a𝒫PT-symmetric system with a time-varying inner product.In this work,we explore the geometry of time-dependent𝒫𝒯PT-symmetric quantum mechanics.We find that a geometric phase can emerge naturally from the cyclic evolution of a PT-symmetric system,and further formulate a series of related differential-geometry concepts,including connection,curvature,parallel transport,metric tensor,and quantum geometric tensor.These findings constitute a useful,perhaps indispensible,tool to investigate geometric properties of𝒫PT-symmetric systems with time-varying system’s parameters.To exemplify the application of our findings,we show that the unconventional geometric phase[Phys.Rev.Lett.91187902(2003)],which is the sum of a geometric phase and a dynamical phase proportional to the geometric phase,can be expressed as a single geometric phase unveiled in this work. 展开更多
关键词 time-dependent𝒫PT-symmetric quantum mechanics geometry time-varying inner product unconventional geometric phase
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FULLERENE GEOMETRY PREDICTION WITH MOLECULAR MECHANICS CALCULATIONS
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作者 Ming Dan CHEN 《Chinese Chemical Letters》 SCIE CAS CSCD 1993年第2期149-152,共4页
A serial of fullerenes had been built and the optimized geome- tries had been obtained with the energy minimization of molecular mechanics calculations according to the fact that the pentagonal number is exactly 12 in... A serial of fullerenes had been built and the optimized geome- tries had been obtained with the energy minimization of molecular mechanics calculations according to the fact that the pentagonal number is exactly 12 in the fullerenes which consist of pentagons and hexagons.The fullerene geometry prediction could facilitate further theoretical and synthetical studies in the near future. 展开更多
关键词 FULLERENE geometry PREDICTION WITH MOLECULAR mechanICS CALCULATIONS THAN
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含软弱夹层复合层状试样力学行为及能量演化特性研究 被引量:2
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作者 刘学伟 雷俊强 +3 位作者 刘滨 姚文杰 白纪成 刘泉声 《采矿与岩层控制工程学报》 北大核心 2025年第1期126-140,共15页
工程中广泛存在的复合层状围岩的软弱层几何特征(倾角和厚度)对岩体稳定性的影响至关重要。为研究软弱层厚度及倾角对复合层状岩体的力学行为影响,首先,开展了含不同软弱层倾角(0°、30°、45°、60°)和厚度(1、2、3、... 工程中广泛存在的复合层状围岩的软弱层几何特征(倾角和厚度)对岩体稳定性的影响至关重要。为研究软弱层厚度及倾角对复合层状岩体的力学行为影响,首先,开展了含不同软弱层倾角(0°、30°、45°、60°)和厚度(1、2、3、4 cm)的复合层状岩体试样的单轴压缩试验,试验结果表明,随着软弱层倾角增加,试样的峰值强度和弹性应变能密度逐渐下降,但下降幅度随厚度的增加而降低,同时试样破坏模式由非层理面内张拉或整体破坏转为层理内滑移破坏;随着软弱层厚度的增加,试样的峰值强度逐渐减小,试样的破坏模式由沿层理面滑移转为层理面滑移与轴向劈裂的组合破坏模式。其次,通过最大信息系数分析表明,软弱层的厚度和倾角分别为试样力学特性与能量特性的主控制因素。最后,基于能量理论分析并结合峰前弹性应变能比和耗散能比,发现软弱层的不同倾角和厚度导致能量释放模式不同,进而影响试样的破坏模式和强度特征。研究结果揭示了软弱层对复合层状围岩的重要影响规律,对类似岩体的稳定性分析具有实际的参考价值。 展开更多
关键词 复合层状岩石 软弱层 几何关系 力学特征 能量特性
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单目RGB穿衣人体的手部精细化重建
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作者 张冀 任志鹏 +3 位作者 张荣华 苑朝 翟永杰 余正秦 《计算机应用研究》 北大核心 2025年第1期300-306,共7页
为解决单目穿衣人体在复杂姿态下手部形状重建存在遮挡和缺失的失真问题,提出了一种结合ECON与MANO手部模型,实现高效穿衣人体的手部精细化重建方法H-ECON(hand-focused explicit clothed humans obtained from normals)。具体而言,该... 为解决单目穿衣人体在复杂姿态下手部形状重建存在遮挡和缺失的失真问题,提出了一种结合ECON与MANO手部模型,实现高效穿衣人体的手部精细化重建方法H-ECON(hand-focused explicit clothed humans obtained from normals)。具体而言,该方法首先以类型无关的手部检测器聚焦手部区域并进行翻转和裁剪;然后,引入注意力机制用于增强对手部区域的感知能力,空洞螺旋卷积则更好地捕捉手部不同尺度的特征;最后,独特的融合模块确保了手部重建与整身模型的融合效果。在FreiHAND和HanCo公开数据集上与其他方法的定量定性对比结果表明了H-ECON的有效性,其独立手部模块明显优于ECON中的替代手部模块。H-ECON实现了对人体手部几何和姿态变化的精确描述,进一步缩小了2D图像生成到3D人体网格之间的差距。 展开更多
关键词 手部重建 穿衣人体 注意力机制 空洞螺旋卷积 深度几何学习
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飞行器二元变几何进气道调节机构多目标优化设计
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作者 齐海涛 刘旭 +2 位作者 刘咄 孟浩洋 苏航 《航空动力学报》 北大核心 2025年第1期189-204,共16页
针对高超声速飞行器二元变几何进气道调节机构质量轻、能耗低、精度高的设计需求,对机构开展了多目标优化工作,获得了综合性能最优的设计方案,并验证了方案的可行性。首先通过受力分析与软件ADAMS仿真的手段,得到楔板与喉道板作动所需... 针对高超声速飞行器二元变几何进气道调节机构质量轻、能耗低、精度高的设计需求,对机构开展了多目标优化工作,获得了综合性能最优的设计方案,并验证了方案的可行性。首先通过受力分析与软件ADAMS仿真的手段,得到楔板与喉道板作动所需的最小驱动力;然后建立了机构质量、能耗和刚度的数学模型,确定了机构的设计变量与约束条件,采用NSGA-Ⅱ优化算法进行多目标优化得到帕累托解集,通过层次图的绘制实现了帕累托前沿的可视化,并选取了一组最优解作为设计方案;最后通过机电概念设计模块(MCD)运动学仿真分析对方案的可行性进行验证。结果表明:与优化前相比,机构的质量降低了6.48%,能耗降低了8.35%,并且能够满足调节作动的行程需求。 展开更多
关键词 高超声速飞行器 二元变几何进气道 调节机构 质量建模 多目标优化
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基于几何蒸馏和特征自适应的磁共振成像重建
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作者 朵琳 任勇 +1 位作者 许渤雨 杨新 《北京航空航天大学学报》 北大核心 2025年第6期1946-1954,共9页
虽然现有基于深度学习的压缩感知磁共振成像(CS-MRI)方法已经取得了较好的效果,但这些方法的可解释性仍然面临挑战,并且从理论分析到网络设计的过渡并不够自然。为解决上述问题,提出深度双域几何蒸馏特征自适应网络(DDGD-FANet)。该深... 虽然现有基于深度学习的压缩感知磁共振成像(CS-MRI)方法已经取得了较好的效果,但这些方法的可解释性仍然面临挑战,并且从理论分析到网络设计的过渡并不够自然。为解决上述问题,提出深度双域几何蒸馏特征自适应网络(DDGD-FANet)。该深度展开网络将磁共振成像重建优化问题迭代展开成3个子部分:数据一致性模块、双域几何蒸馏模块和自适应网络模块,不仅可以补偿重建图像丢失的上下文信息,恢复更多的纹理细节,还可以去除全局伪影,进一步提高重建效果。在公开数据集使用3种不同的采样模式进行实验,结果表明:DDGD-FANet在3种采样模式下均取得了更高的峰值信噪比和结构相似性指数,在笛卡儿10%压缩感知(CS)比率下,峰值信噪比较迭代收缩阈值算法(ISTA-Net+)、快速ISTA(FISTA)-Net和DGDN模型分别提高了5.01 dB、4.81 dB和3.34 dB。 展开更多
关键词 磁共振成像 图像重建 深度学习 几何蒸馏 自适应网络 注意力机制
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面向分布式电驱底盘与角模块的并联变结构悬架设计
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作者 高镇海 张汉英 韩宗志 《汽车工程》 北大核心 2025年第7期1404-1414,共11页
分布式驱动电动汽车可控自由度高、底盘结构紧凑,是实现先进底盘线控技术的最佳平台。针对分布式电驱底盘扩展运动功能和模块化设计等需求,提出了一种并联变结构悬架设计方法。通过底盘运动功能分析,将悬架系统设计问题转化为2R1T并联... 分布式驱动电动汽车可控自由度高、底盘结构紧凑,是实现先进底盘线控技术的最佳平台。针对分布式电驱底盘扩展运动功能和模块化设计等需求,提出了一种并联变结构悬架设计方法。通过底盘运动功能分析,将悬架系统设计问题转化为2R1T并联机构型综合问题;采用子群与子流形概念建立了悬架系统各维度支链运动功能与拓扑结构之间的映射关系;统筹考虑机构的约束特性、位姿能力、机构的模块化与可重构性,以及输入输出运动解耦完成了悬架的拓扑结构优选。最后,从机构运动学和车辆动力学两方面开展了性能对比分析。研究结果表明:基于并联机构的悬架系统在位姿空间内运动平滑无突变,不存在奇异位形,具有良好的传递效能和灵巧度;悬架运动学性能和平顺性相比基于传统悬架的角模块构型获得了显著改善。 展开更多
关键词 分布式电驱底盘 角模块 变结构悬架 并联机构
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新工科背景下高校制图课程线上线下混合教学探索——以“画法几何与机械制图”课程为例
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作者 孙文 王天琦 +1 位作者 孙艳萍 张丹 《教育教学论坛》 2025年第27期81-84,共4页
在全球科技和产业发生巨大变革背景下,新工科教育战略决策指明了我国高等工程教育改革的研究方向。为适应新工科建设需求,高校制图课程混合教学改革与实践探索具有重要意义。针对西安石油大学“画法几何与机械制图”课程现状及存在的问... 在全球科技和产业发生巨大变革背景下,新工科教育战略决策指明了我国高等工程教育改革的研究方向。为适应新工科建设需求,高校制图课程混合教学改革与实践探索具有重要意义。针对西安石油大学“画法几何与机械制图”课程现状及存在的问题,聚焦在课程教学内容优化设计、线上线下学时安排、线上课程资源建设、课程考核体系构建和课程教学实施过程设计等五个方面开展了教改研究,通过多元化课程考核成绩统计分析,验证了教改实践效果,可为高校制图相关课程的教改研究提供有益参考。 展开更多
关键词 画法几何与机械制图 新工科 线上线下混合式教学 教学改革
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基于SimMechanics的可调整机构设计 被引量:3
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作者 徐海晶 张怡 冯春 《机械设计与制造》 北大核心 2006年第9期37-38,共2页
在MATLAB及其SimMechanics环境中建立了可调机构的仿真模型。通过曲柄摇杆机构驱动曲柄滑块机构,可在不改变执行机构的结构参数的前提下,调整驱动机构的几何参数来控制并改善执行机构的运动特性。仿真结果证明了该方法的可行性。
关键词 曲柄摇杆机构 模型 几何参数 仿真
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球杆仪测量机床两回转轴的运动几何学原理研究
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作者 廖祖平 唐首臣 +2 位作者 王智 汪伟 王德伦 《大连理工大学学报》 北大核心 2025年第3期262-269,共8页
提出了球杆仪测量机床两回转轴的运动几何学原理.球杆仪为两杆三副的SPS杆组,被测对象为机床两回转轴真实开式机构,球杆仪和被测对象组成空间闭环测量机构,保持被测对象的运动自由度不变,形成了球杆仪测量机构的组成原理.基于SPS杆组及... 提出了球杆仪测量机床两回转轴的运动几何学原理.球杆仪为两杆三副的SPS杆组,被测对象为机床两回转轴真实开式机构,球杆仪和被测对象组成空间闭环测量机构,保持被测对象的运动自由度不变,形成了球杆仪测量机构的组成原理.基于SPS杆组及其SS假想约束,建立了描述测量机构与假想机构的结构尺度与运动轨迹内在联系的运动几何学模型.由该模型确定被测对象的各轴输入运动关系,求解出测量机构对应的输出运动规律,并与球杆仪输出的对应实际测量数据比较,进而评价被测对象的运动精度.由此阐述了球杆仪测量机构的运动几何学原理,为球杆仪的测量方式、运动关系和评价基准提供理论依据. 展开更多
关键词 球杆仪 机构 运动几何学 机床 测量
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A Study on Computer Consciousness on Intuitive Geometry Based on Mathematics Experiments and Statistical Analysis 被引量:1
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作者 Xiang Sun Zhenbing Zeng 《Advances in Pure Mathematics》 2021年第8期671-686,共16页
In this paper, we present our research on building computing machines consciousness about intuitive geometry based on mathematics experiments and statistical inference. The investigation consists of the following five... In this paper, we present our research on building computing machines consciousness about intuitive geometry based on mathematics experiments and statistical inference. The investigation consists of the following five steps. At first, we select a set of geometric configurations and for each configuration we construct a large amount of geometric data as observation data using dynamic geometry programs together with the pseudo-random number generator. Secondly, we refer to the geometric predicates in the algebraic method of machine proof of geometric theorems to construct statistics suitable for measuring the approximate geometric relationships in the observation data. In the third step, we propose a geometric relationship detection method based on the similarity of data distribution, where the search space has been reduced into small batches of data by pre-searching for efficiency, and the hypothetical test of the possible geometric relationships in the search results has be performed. In the fourth step, we explore the integer relation of the line segment lengths in the geometric configuration in addition. At the final step, we do numerical experiments for the pre-selected geometric configurations to verify the effectiveness of our method. The results show that computer equipped with the above procedures can find out the hidden geometric relations from the randomly generated data of related geometric configurations, and in this sense, computing machines can actually attain certain consciousness of intuitive geometry as early civilized humans in ancient Mesopotamia. 展开更多
关键词 Intuitive geometry Distribution Similarity Wasserstein Distance mechanical geometry theorem-proving
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A comprehensive earthquake source database for China’s strong-motion flatfile(2007-2020)
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作者 Hongwei Wang Hongrui Li +1 位作者 Yefei Ren Ruizhi Wen 《Earthquake Research Advances》 2025年第2期13-19,共7页
The National Strong-Motion Observation Network System of China has collected over 12 000 strong-motion recordings from 2007 to December 2020.This study assembled the source-related metadata of 1 920 earthquakes associ... The National Strong-Motion Observation Network System of China has collected over 12 000 strong-motion recordings from 2007 to December 2020.This study assembled the source-related metadata of 1 920 earthquakes associated with assembled well-processed recordings of China.The earthquake basic information,focal mechanisms,and the fault geometry were collected from various institutes and literature.We recommended the MWvalues for 900 earthquakes,the fault types for 1 064 earthquakes,and the fault geometries for 18 large earthquakes.We also performed the statistical analysis for establishing the empirical conversions of MW-MS,and ML,and providing the empirical relationships between MWand ruptured area,aspect ratio,respectively.Moreover,the ruptured fault geometries of large earthquakes were used to preliminarily divide all earthquakes considered into 1 141 mainshocks,and 779 aftershocks.The finite-fault distances(RJBand Rrup) of strong-motion recordings from the 18 large earthquakes were calculated,and then used to yield the statistic relationships between the point-source distances(Repiand Rhyp) and finite-fault distances.We finally provided the earthquake source database freely accessible at website.The source-related metadata can be directly applied to develop the ground motion prediction equations of China. 展开更多
关键词 Earthquake source database Earthquake basic parameters Focal mechanism Ruptured fault geometry Strong motion flatfile
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