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Multi-shooting非线性MPC无人驾驶汽车轨迹跟踪控制 被引量:1
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作者 朱仲文 蒋智涛 +2 位作者 王维志 江维海 李书华 《控制理论与应用》 北大核心 2025年第8期1477-1485,共9页
针对复杂路径下无人驾驶汽车轨迹跟踪精度不足和稳定性差的问题,本文研究了非线性MPC轨迹跟踪控制策略.首先基于brush轮胎模型建立了考虑轮胎滑移的车辆动力学模型.然后利用Multi-shooting算法将状态方程转化为函数连续性约束,独立计算... 针对复杂路径下无人驾驶汽车轨迹跟踪精度不足和稳定性差的问题,本文研究了非线性MPC轨迹跟踪控制策略.首先基于brush轮胎模型建立了考虑轮胎滑移的车辆动力学模型.然后利用Multi-shooting算法将状态方程转化为函数连续性约束,独立计算每个预测子区间的状态微分方程组,采用序列二次规划方法对非线性最优控制问题进行求解,得到最优控制输入.最后通过CarSim和MATLAB进行联合仿真,分别在36 km/h,54km/h和72 km/h3种车速下跟踪双移线轨迹,与传统的线性MPC控制器对比,3种车速下本文的控制策略横向跟踪累积误差降低了41.6%,46.6%和36.5%,控制效果得到提高,对不同车速有较好的鲁棒性.与基于Single-shooting的非线性MPC控制器对比,计算效率提高了61.9%,60%和52.8%,算法实时性得到了提高. 展开更多
关键词 无人驾驶汽车 轨迹跟踪 模型预测控制 Multi-shooting算法
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Improvement of photogrammetric joint roughness coefficient value by integrating automatic shooting parameter selection and composite error model
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作者 Qinzheng Yang Ang Li +2 位作者 Feng Dai Zhen Cui Hongtian Wang 《Journal of Rock Mechanics and Geotechnical Engineering》 2025年第1期200-219,共20页
In order to improve the accuracy of the photogrammetric joint roughness coefficient(JRC)value,the present study proposed a novel method combining an autonomous shooting parameter selection algorithm with a composite e... In order to improve the accuracy of the photogrammetric joint roughness coefficient(JRC)value,the present study proposed a novel method combining an autonomous shooting parameter selection algorithm with a composite error model.Firstly,according to the depth map-based photogrammetric theory,the estimation of JRC from a three-dimensional(3D)digital surface model of rock discontinuities was presented.Secondly,an automatic shooting parameter selection algorithm was novelly proposed to establish the 3D model dataset of rock discontinuities with varying shooting parameters and target sizes.Meanwhile,the photogrammetric tests were performed with custom-built equipment capable of adjusting baseline lengths,and a total of 36 sets of JRC data was gathered via a combination of laboratory and field tests.Then,by combining the theory of point cloud coordinate computation error with the equation of JRC calculation,a composite error model controlled by the shooting parameters was proposed.This newly proposed model was validated via the 3D model dataset,demonstrating the capability to correct initially obtained JRC values solely based on shooting parameters.Furthermore,the implementation of this correction can significantly reduce errors in JRC values obtained via photographic measurement.Subsequently,our proposed error model was integrated into the shooting parameter selection algorithm,thus improving the rationality and convenience of selecting suitable shooting parameter combinations when dealing with target rock masses with different sizes.Moreover,the optimal combination of three shooting parameters was offered.JRC values resulting from various combinations of shooting parameters were verified by comparing them with 3D laser scan data.Finally,the application scope and limitations of the newly proposed approach were further addressed. 展开更多
关键词 PHOTOGRAMMETRY shooting parameter JRC estimation 3D reconstruction
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Visual navigation in orchard based on multiple images at different shooting angles
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作者 MA Zenghong YUE Jiawen +3 位作者 YIN Cheng ZHAO Runmao CHANDA Mulongoti DU Xiaoqiang 《智能化农业装备学报(中英文)》 2024年第4期51-65,共15页
The orchards usually have rough terrain,dense tree canopy and weeds.It is hard to use GNSS for autonomous navigation in orchard due to signal occlusion,multipath effect,and radio frequency interference.To achieve auto... The orchards usually have rough terrain,dense tree canopy and weeds.It is hard to use GNSS for autonomous navigation in orchard due to signal occlusion,multipath effect,and radio frequency interference.To achieve autonomous navigation in orchard,a visual navigation method based on multiple images at different shooting angles is proposed in this paper.A dynamic image capturing device is designed for camera installation and multiple images can be shot at different angles.Firstly,the obtained orchard images are classified into sky and soil detection stage.Each image is transformed to HSV space and initially segmented into sky,canopy and soil regions by median filtering and morphological processing.Secondly,the sky and soil regions are extracted by the maximum connected region algorithm,and the region edges are detected and filtered by the Canny operator.Thirdly,the navigation line in the current frame is extracted by fitting the region coordinate points.Then the dynamic weighted filtering algorithm is used to extract the navigation line for the soil and sky detection stage,respectively,and the navigation line for the sky detection stage is mirrored to the soil region.Finally,the Kalman filter algorithm is used to fuse and extract the final navigation path.The test results on 200 images show that the accuracy of visual navigation path fitting is 95.5%,and single frame image processing costs 60 ms,which meets the real-time and robustness requirements of navigation.The visual navigation experiments in Camellia oleifera orchard show that when the driving speed is 0.6 m/s,the maximum tracking offset of visual navigation in weed-free and weedy environments is 0.14 m and 0.24 m,respectively,and the RMSE is 30 mm and 55 mm,respectively. 展开更多
关键词 ORCHARD visual navigation multiple shooting angles region segmentation Kalman filter
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Association of Temperature, Relative Humidity, and Shoot Size Scale with the Number of Eggs and Nymphal Stages of Diaphorina citri (Hemiptera: Liviidae)
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作者 Jesús Armando Vargas-Tovar Crystian Sadiel Venegas-Barrera +2 位作者 Martha Olivia Lázaro-Dzul Vidal Zavala-Zapata Ausencio Azuara-Domínguez 《Advances in Entomology》 2025年第1期139-151,共13页
The objective of the study was to determine the influence of temperature, relative humidity, and shoot size of Valencia orange trees Citrus sinensis (L.) Osbeck (Sapindales: Rutaceae) on the abundance of eggs and nymp... The objective of the study was to determine the influence of temperature, relative humidity, and shoot size of Valencia orange trees Citrus sinensis (L.) Osbeck (Sapindales: Rutaceae) on the abundance of eggs and nymphal stages of Diaphorina citri Kuwayama (Hemiptera: Liviidae). The experiment was established on 3.18 hectares cultivated with Valencia orange. The number of eggs, nymphs, temperature, relative humidity, and scale of the size of the shoot were recorded from January to July and from September to November 2020. The association of these variables was determined by multiple correspondence analyses. The conservation of the same number of individuals between consecutive samples and the increase in the number of eggs and nymphs was associated with temperature (17˚C - 23˚C), relative humidity (75% - 78%) and the availability of shoots from V1 to VS in March, April, June, and July. The largest number of N1 and N2 nymphs was recorded in January, February, May, and October. The highest population of eggs and nymphs N3 and N5 occurred in September. In November, there was a reduction in eggs and nymphs. Meanwhile, the nymph N4 was presented independently of the variables analyzed. 展开更多
关键词 Citrus sinensis HLB Monitoring PSYLLID shootS
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Development of Seed-and Shoot-Based Restoration Approaches for the Eelgrass Zostera marina:The Combined Effect of Sediment Loosening and Fertilization
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作者 ZHANG Yanhao LIU Jinji +4 位作者 XU Jieying ZHANG Zhen LU Jia LI Wentao ZHANG Peidong 《Journal of Ocean University of China》 2025年第4期1083-1098,共16页
We subjected seeds and shoots of eelgrass Zostera marina to different combinations of sediment loosening(0(control),5,10 cm in depth)and sediment fertilization(0(control),40,80,120,160 g/m^(2))through a field experime... We subjected seeds and shoots of eelgrass Zostera marina to different combinations of sediment loosening(0(control),5,10 cm in depth)and sediment fertilization(0(control),40,80,120,160 g/m^(2))through a field experiment involving seed sowing and shoot transplantation from September 2020 to September 2021.Growth analysis revealed optimum ranges for sediment fertiliza-tion and sediment loosening were 88.8-93.8 g/m^(2)and 5.3-5.8 cm for Z.marina seed sowing,as well as 79.7-86.7 g/m^(2)and 5.9-6.5 cm for Z.marina shoot transplanting,respectively.The shoot densities of Z.marina exposed to these optimum range of sediment fer-tilization and sediment loosening were 1.1-1.3 times of those in the control group.Porewater nutrients are key environmental factors affecting seed germination and shoot growth of Z.marina.The results provide valuable insights for enhancing restoration effects of Z.marina. 展开更多
关键词 shoot transplantation seed sowing seagrass bed restoration shoot morphology Zostera marina
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Non-contact overall 3D deformation measurement based on a multi-camera system for static testing of large aircraft wing structure
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作者 Bingwei Zhu Yan Liu +4 位作者 Zongyuan Lian Yiqiu Cai Hewei Zhu Liqiang Gao Qifeng Yu 《Acta Mechanica Sinica》 2025年第6期125-142,共18页
To obtain the certificate of airworthiness,it is essential to conduct a full-scale aircraft static test.During such test,accurate and comprehensive wing deformation measurement is crucial for assessing its strength,st... To obtain the certificate of airworthiness,it is essential to conduct a full-scale aircraft static test.During such test,accurate and comprehensive wing deformation measurement is crucial for assessing its strength,stiffness,and bearing capability.This paper proposes a novel and cost-effective videogrammetric method using multi-camera system to achieve the non-contact,highprecision,and 3D measurement of overall static deformation for the large-scale wing structure.To overcome the difficulties of making,carrying,and employing the large 2D or 3D target for calibrating the cameras with large field of view,a flexible stereo cameras calibration method combining 1D target and epipolar geometry is proposed.The global calibration method,aided by a total station,is employed to unify the 3D data obtained from various binocular subsystems.A series of static load tests using a 10-meter-long large-scale wing have been conducted to validate the proposed system and methods.Furthermore,the proposed method was applied to the practical wing deformation measurement of both wings with a wingspan of 33.6 m in the full-size civil aircraft static test.The overall 3D profile and displacement data of the tested wing under various loads can be accurately obtained.The maximum error of distance and displacement measurement is less than 4.5 mm within the measurement range of 35 m in all load cases.These results demonstrate that the proposed method achieves effective,high-accuracy,on-site,and visualized wing deformation measurement,making it a promising approach for full-scale aircraft wing static test. 展开更多
关键词 Videogrammetric technique multi-camera system Aircraft static testing Large wing Non-contact 3D deformation measurement
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From Scars to Shoots
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作者 YAN Fusheng 《Bulletin of the Chinese Academy of Sciences》 2025年第1期34-35,共2页
Many staple crops like wheat,soybeans,and maize stubbornly resist regrowing from lab-grown tissues-a major bottleneck for genetic modification and improvement of these crops.A Cell study in June 2024 may become a game... Many staple crops like wheat,soybeans,and maize stubbornly resist regrowing from lab-grown tissues-a major bottleneck for genetic modification and improvement of these crops.A Cell study in June 2024 may become a game-changer.Led by Dr.DENG Lei(Shandong Agricultural University)and Dr.LI Chuanyou(the CAS Institute of Genetics and Developmental Biology),the collaborative effort identified a peptide called REGENERATION FACTOR1(REF1)as a local wound signal that regulates damage-triggered tissue repair and organ regeneration.This very finding may greatly expand opportunities for improving crop resilience through targeted bioengineering. 展开更多
关键词 SCARS SOYBEANS staple crops shootS cell study MAIZE genetic modification wheat
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Light regulation of shoot architecture in horticultural crops
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作者 Changan Zhu Hannah Rae Thomas +2 位作者 Huijia Kang Xiaojian Xia Yanhong Zhou 《Horticultural Plant Journal》 2025年第5期1727-1743,共17页
Plants undergo dynamic morphological changes in response to fluctuating light conditions.Despite significant progress in elucidating the mechanisms of light signal transduction,the precise influence of light on the de... Plants undergo dynamic morphological changes in response to fluctuating light conditions.Despite significant progress in elucidating the mechanisms of light signal transduction,the precise influence of light on the development and regulation of shoot architecture remains a central research question.Studies focusing on model plants such as Arabidopsis thaliana and rice suggest light modulates shoot architecture through intricate regulatory networks.However,the molecular mechanisms governing the diverse effects of light on horticultural crops are still poorly understood.This review primarily focuses on horticultural crops,integrating research on model plants,including Arabidopsis and rice,to provide an overview of the regulatory mechanisms of light signals in plant architectural development.It also explores the prospects for manipulating light environments in greenhouse management strategies. 展开更多
关键词 Light signaling shoot architecture Horticultural crops plant growth greenhouse management
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Step&Shoot子野权重优化技术对直肠癌新辅助放疗计划剂量学指标的影响
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作者 路小帆 《临床医学工程》 2025年第1期71-74,共4页
目的探讨静态调强(Step&Shoot)子野权重优化(SWO)技术对直肠癌患者新辅助放疗计划剂量学指标的影响。方法选取2022年1月至2024年3月我院收治的82例直肠癌患者为研究对象,依据在放疗计划中采用的优化技术不同分为两组各41例。两组均... 目的探讨静态调强(Step&Shoot)子野权重优化(SWO)技术对直肠癌患者新辅助放疗计划剂量学指标的影响。方法选取2022年1月至2024年3月我院收治的82例直肠癌患者为研究对象,依据在放疗计划中采用的优化技术不同分为两组各41例。两组均接受调强放疗(IMRT),对照组采用Step&Shoot方式对IMRT计划进行优化,观察组在对照组基础上采用SWO技术进行优化。比较两组IMRT计划中的机器跳数(MU)及总子野数,采用剂量体积直方图评估两组的靶区适形指数(CI)、均匀性指数(HI)及危及器官(OAR)的剂量分布并比较。结果观察组的MU较对照组高,总子野数较对照组低(P<0.05)。两组左右侧股骨头接受V_(30)、V_(40)、V_(50)剂量的体积及小肠接受V_(40)、V_(50)剂量的体积比较,差异均无统计学意义(P>0.05);观察组小肠接受V_(30)剂量的体积及膀胱接受V_(30)、V_(40)、V_(50)剂量的体积均较对照组低(P<0.05)。两组的靶区CI及HI值比较,差异无统计学意义(P>0.05)。结论在Step&Shoot优化直肠癌新辅助放疗计划的基础上采用SWO技术进行优化可减少总子野数,有利于缩短放疗时间;此外,还能够降低正常组织照射剂量,有利于降低患者所受到的放疗毒副作用,保障治疗安全性。 展开更多
关键词 直肠癌 调强放疗 子野权重优化 静态调强 剂量学
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Multipoint Shooting方法寻找混沌系统周期轨迹 被引量:1
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作者 杨华 韩明 孙亚威 《武汉大学学报(理学版)》 CAS CSCD 北大核心 2009年第2期157-161,共5页
利用牛顿拉夫申方法和Multipoint Shooting方法分别寻找了Henon映射和Henon-Heiles体系的不稳定周期轨迹,给出了Henon-Heiles体系周期3、周期5和周期7在庞加莱截面上的截点以及相应的相空间轨迹.结果显示,利用Multipoint Shooting方法只... 利用牛顿拉夫申方法和Multipoint Shooting方法分别寻找了Henon映射和Henon-Heiles体系的不稳定周期轨迹,给出了Henon-Heiles体系周期3、周期5和周期7在庞加莱截面上的截点以及相应的相空间轨迹.结果显示,利用Multipoint Shooting方法只用8次迭代即可算出精度为10-14的周期7的点,比牛顿拉夫申方法需要的176次迭代少得多. 展开更多
关键词 混沌 Multipoint shooting方法 HENON映射 Henon-Heiles体系
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机械工程trouble-shooting案例分析教学与动手能力培养
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作者 朱派龙 战祥乐 《广东轻工职业技术学院学报》 2005年第1期38-41,共4页
通过trouble shooting案例的分析、讨论、实例讲解,力图引导、启发和培养学生在实际工作中如何去发现问题、如何对已有知识、经验、技能的灵活处理和技术知识的转移、搬迁、嫁接、变异、变通和改进等方面的技巧和动手能力,目的是使学生... 通过trouble shooting案例的分析、讨论、实例讲解,力图引导、启发和培养学生在实际工作中如何去发现问题、如何对已有知识、经验、技能的灵活处理和技术知识的转移、搬迁、嫁接、变异、变通和改进等方面的技巧和动手能力,目的是使学生学习达到“鱼”、“渔”共获。 展开更多
关键词 机械工程 动手能力 trouble-shooting案例分析 教学内容
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A CASE STUDY ON LONG HOLE RAISING BY SHOOTING TO RELIEF HOLES 被引量:2
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作者 Ding Dexin Central South Institute of Technology, Hengyang 421001 《中国有色金属学会会刊:英文版》 CSCD 1997年第3期160-163,共4页
ACASESTUDYONLONGHOLERAISINGBYSHOOTINGTORELIEFHOLES①DingDexinCentralSouthInstituteofTechnology,Hengyang421001... ACASESTUDYONLONGHOLERAISINGBYSHOOTINGTORELIEFHOLES①DingDexinCentralSouthInstituteofTechnology,Hengyang421001ABSTRACTAcasestu... 展开更多
关键词 LONG HOLE RAISING shooting RELIEF HOLES
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Optimal index shooting policy for layered missile defense system 被引量:2
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作者 LI Longyue FAN Chengli +2 位作者 XING Qinghua XU Hailong ZHAO Huizhen 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2020年第1期118-129,共12页
In order to cope with the increasing threat of the ballistic missile(BM)in a shorter reaction time,the shooting policy of the layered defense system needs to be optimized.The main decisionmaking problem of shooting op... In order to cope with the increasing threat of the ballistic missile(BM)in a shorter reaction time,the shooting policy of the layered defense system needs to be optimized.The main decisionmaking problem of shooting optimization is how to choose the next BM which needs to be shot according to the previous engagements and results,thus maximizing the expected return of BMs killed or minimizing the cost of BMs penetration.Motivated by this,this study aims to determine an optimal shooting policy for a two-layer missile defense(TLMD)system.This paper considers a scenario in which the TLMD system wishes to shoot at a collection of BMs one at a time,and to maximize the return obtained from BMs killed before the system demise.To provide a policy analysis tool,this paper develops a general model for shooting decision-making,the shooting engagements can be described as a discounted reward Markov decision process.The index shooting policy is a strategy that can effectively balance the shooting returns and the risk that the defense mission fails,and the goal is to maximize the return obtained from BMs killed before the system demise.The numerical results show that the index policy is better than a range of competitors,especially the mean returns and the mean killing BM number. 展开更多
关键词 Gittins index shooting policy layered missile defense multi-armed bandits problem Markov decision process
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Influence of core box vents distribution on flow dynamics of core shooting process based on experiment and numerical simulation 被引量:5
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作者 Chang-jiang Ni Gao-chun Lu +4 位作者 Qing-dong Zhang Tao Jing Jun-jiao Wu Lin-long Yang Qin-fang Wu 《China Foundry》 SCIE 2016年第1期22-29,共8页
Core shooting process plays a decisive role in the quality of sand cores, and core box vents distribution is one of the most important factor determining the effectiveness of core shooting process. In this paper, the ... Core shooting process plays a decisive role in the quality of sand cores, and core box vents distribution is one of the most important factor determining the effectiveness of core shooting process. In this paper, the influence of core box vents distribution on the flow dynamics of core shooting process was investigated based on in situ experimental observations with transparent core box, high-speed camera and pressure measuring system. Attention was focused on the variation of both the flow behavior of sand and pressure curves due to different vents distribution. Taking both kinetic and frictional stress into account, a kinetic-frictional constitutive model was established to describe the internal momentum transfer in the solid phase. Two-fluid model(TFM) simulation was then performed and good agreement was achieved between the experimental and simulated results on both the flow behavior of sand and the pressure curves. It was found that vents distribution has direct effect on the pressure difference of different locations in the core box, which determines the buoyancy force exerting on the sand particles and significantly influences the filling process of core sand. 展开更多
关键词 vents distribution flow dynamics pressure variation core shooting process kinetic-frictional model two-fluid model
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GPU based numerical simulation of core shooting process 被引量:1
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作者 Yi-zhong Zhang Gao-chun Lu +3 位作者 Chang-jiang Ni Tao Jing Lin-long Yang Qin-fang Wu 《China Foundry》 SCIE 2017年第5期392-397,共6页
Core shooting process is the most widely used technique to make sand cores and it plays an important role in the quality of sand cores. Although numerical simulation can hopefully optimize the core shooting process, r... Core shooting process is the most widely used technique to make sand cores and it plays an important role in the quality of sand cores. Although numerical simulation can hopefully optimize the core shooting process, research on numerical simulation of the core shooting process is very limited. Based on a two-fluid model(TFM) and a kinetic-friction constitutive correlation, a program for 3D numerical simulation of the core shooting process has been developed and achieved good agreements with in-situ experiments. To match the needs of engineering applications, a graphics processing unit(GPU) has also been used to improve the calculation efficiency. The parallel algorithm based on the Compute Unified Device Architecture(CUDA) platform can significantly decrease computing time by multi-threaded GPU. In this work, the program accelerated by CUDA parallelization method was developed and the accuracy of the calculations was ensured by comparing with in-situ experimental results photographed by a high-speed camera. The design and optimization of the parallel algorithm were discussed. The simulation result of a sand core test-piece indicated the improvement of the calculation efficiency by GPU. The developed program has also been validated by in-situ experiments with a transparent core-box, a high-speed camera, and a pressure measuring system. The computing time of the parallel program was reduced by nearly 95% while the simulation result was still quite consistent with experimental data. The GPU parallelization method can successfully solve the problem of low computational efficiency of the 3D sand shooting simulation program, and thus the developed GPU program is appropriate for engineering applications. 展开更多
关键词 graphics processing unit (GPU) Compute Unified Device Architecture (CUDA) PARALLELIZATION core shooting process
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Influence of core sand properties on flow dynamics of core shooting process based on experiment and multiphase simulation 被引量:2
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作者 Chang-jiang Ni Gao-chun Lu +1 位作者 Tao Jing Jun-jiao Wu 《China Foundry》 SCIE 2017年第2期121-127,共7页
The influence of core sand properties on flow dynamics was investigated synchronously with various core sands, transparent core-box and high-speed camera. To confirm whether the core shooting process has significant t... The influence of core sand properties on flow dynamics was investigated synchronously with various core sands, transparent core-box and high-speed camera. To confirm whether the core shooting process has significant turbulence, the flow pattern of sand particles in the shooting head and core box was reproduced with colored core sands. By incorporating the kinetic theory of granular flow(KTGF), kinetic-frictional constitutive correlation and turbulence model, a two-fluid model(TFM) was established to study the flow dynamics of the core shooting process. Two-fluid model(TFM) simulations were then performed and a areasonable agreement was achieved between the simulation and experimental results. Based on the experimental and simulation results, the effects of turbulence, sand density, sand diameter and binder ratio were analyzed in terms of filling process, sand volume fraction(αs) and sand velocity(Vs). 展开更多
关键词 core shooting process sand property binder ratio two-fluid model flow dynamic turbulence
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A SHOOTING METHOD FOR THE SWIFT-HOHENBERG EQUATION
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作者 TaoYoushan ZhangJizhou 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2002年第4期391-403,共13页
Stationary even single bump periodic solutions of the Swift Hohenberg equation are analyzed. The coefficient k in the equation is found to be a critical parameter. It is proved if 0<k<1 , there exist pe... Stationary even single bump periodic solutions of the Swift Hohenberg equation are analyzed. The coefficient k in the equation is found to be a critical parameter. It is proved if 0<k<1 , there exist periodic solutions having the same energy as the constant solution u=0; if 1<k<32 , there exist periodic solutions having the same energy as the stable states u=±k-1. The proof of the above results is based on a shooting technique, together with a linearization method and a scaling argument. 展开更多
关键词 shooting technique Swift Hohenberg equation critical point periodic solution.
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Analysis on Stochastic Passage Characteristics for Gun Barrel in Shooting Domain
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作者 王军 李玉山 郭治 《Defence Technology(防务技术)》 SCIE EI CAS 2010年第4期247-252,共6页
Aiming at some weapon systems with shooting domain,the stochastic passage characteristics of the barrel were studied.On the basis of the exact definition of the stochastic passage characteristics,its opportunity-await... Aiming at some weapon systems with shooting domain,the stochastic passage characteristics of the barrel were studied.On the basis of the exact definition of the stochastic passage characteristics,its opportunity-awaiting time,residence time and stochastic passage period were given by using the transition probability matrix,and they all obeyed the geometry distributions.Their means and variances were also derived,and the relations between the time indexes and the structure and parameters of weapon control system were established.Finally,the creditability of the conclusions was verified by the test data of weapon system in proving ground. 展开更多
关键词 automatic control technology shooting domain stochastic passage characteristic transition probability matrix geometry distribution
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Scattering from Rough Surfaces Using the"Shooting and Bouncing Rays" Technique
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作者 Gao Huo-tao Ke Heng-yu +1 位作者 Hou Jie-chang Wu Shi-cai 《Wuhan University Journal of Natural Sciences》 EI CAS 1999年第3期319-321,共3页
The “shooting and bouncing rays” (SBR) technique is used to analyze the electromagnetic scattering characters of ocean rough surfaces varying with time. Some numerical results are presented and compared with the met... The “shooting and bouncing rays” (SBR) technique is used to analyze the electromagnetic scattering characters of ocean rough surfaces varying with time. Some numerical results are presented and compared with the method of moments, and some factors, such as the incident angle, polarization and frequency are investigated which influence on electromagnetic scattering characters of ocean rough surfaces. 展开更多
关键词 shooting and bouncing rays” technique electromagnetic scattering characters ocean rough surfaces
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Numerical experiment of anharmonic oscillators by using the symplectic scheme-shooting method 被引量:2
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作者 LIU Xue-shen, DING Pei-zhu (Institute of Atomic and Molecular Physics, Jilin University, Changchun 130023, P.R.China) 《原子与分子物理学报》 CAS CSCD 北大核心 2002年第2期119-125,共7页
Symplectic scheme-shooting method (SSSM) is applied to solve the energy eigenvalues of anharmonic oscillators characterized by the potentials V(x)=λx 4 and V(x)=(1/2)x 2+λx 2α with α=2,3,4 and doubly anharmonic os... Symplectic scheme-shooting method (SSSM) is applied to solve the energy eigenvalues of anharmonic oscillators characterized by the potentials V(x)=λx 4 and V(x)=(1/2)x 2+λx 2α with α=2,3,4 and doubly anharmonic oscillators characterized by the potentials V(x)=(1/2)x 2+λ 1x 4 +λ 2x 6, and a high order symplectic scheme tailored to the "time"-dependent Hamiltonian function is presented. The numerical results illustrate that the energy eigenvalues of anharmonic oscillators with the symplectic scheme-shooting method are in good agreement with the numerical accurate ones obtained from the non-perturbative method by using an appropriately scaled basis for the expansion of each eigenfunction; and the energy eigenvalues of doubly anharmonic oscillators with the sympolectic scheme-shooting method are in good agreement with the exact ones and are better than the results obtained from the four-term asymptotic series. Therefore, the symplectic scheme-shooting method, which is very simple and is easy to grasp, is a good numerical algorithm. 展开更多
关键词 SSSM 量子力学 哈密顿量 数值实验 非线性振荡 能量特征
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