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A fast calculation method for three-impulse contingency return trajectory during the near-moon phase based on differential algebra
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作者 Lin LU Haiyang LI +1 位作者 Tianshan DONG Wanmeng ZHOU 《Chinese Journal of Aeronautics》 2025年第4期286-304,共19页
Aimed at the demand of contingency return at any time during the near-moon phase in the manned lunar landing missions,a fast calculation method for three-impulse contingency return trajectories is proposed.Firstly,a t... Aimed at the demand of contingency return at any time during the near-moon phase in the manned lunar landing missions,a fast calculation method for three-impulse contingency return trajectories is proposed.Firstly,a three-impulse contingency return trajectory scheme is presented by combining the Lambert transfer and maneuver at the special point.Secondly,a calculation model of three-impulse contingency return trajectories is established.Then,fast calculation methods are proposed by adopting the high-order Taylor expansion of differential algebra in the twobody trajectory dynamics model and perturbed trajectory dynamics model.Finally,the performance of the proposed methods is verified by numerical simulation.The results indicate that the fast calculation method of two-body trajectory has higher calculation efficiency compared to the semi-analytical calculation method under a certain accuracy condition.Due to its high efficiency,the characteristics of the three-impulse contingency return trajectories under different contingency scenarios are further analyzed expeditiously.These findings can be used for the design of contingency return trajectories in future manned lunar landing missions. 展开更多
关键词 Manned lunar landing Contingency return trajectory Trajectory calculation method Differential algebra Trajectory characteristic analysis
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Comprehensive Analysis Method of Slope Stability Based on the Limit Equilibrium and Finite Element Methods and Its Application
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作者 Yajun Wang Yifeng Li Jinzhou Chen 《Open Journal of Civil Engineering》 2023年第4期555-571,共17页
To study the safety and stability of large slopes, taking the right side slope of the Yuxi’an tunnel of the Yuchu Expressway Bridge in Yunnan Province as an example, limit equilibrium and finite element analysis were... To study the safety and stability of large slopes, taking the right side slope of the Yuxi’an tunnel of the Yuchu Expressway Bridge in Yunnan Province as an example, limit equilibrium and finite element analysis were applied to engineering examples to calculate the stability coefficient of the slope before and after excavation in the natural state. After comparative analysis, it was concluded that the former had a clear mechanical model and concept, which could quickly provide stability results;the latter could accurately determine the sliding surface of the slope and simulate the stress state changes of the rock and soil mass. The stability coefficients calculated by the two methods were within the stable range, but their values were different. On this basis, combined with the calculation principles, advantages and disadvantages of the two methods, a comprehensive analysis method of slope stability based on the limit equilibrium and finite element methods was proposed, and the rationality of the stability coefficient calculated by this method was judged for a slope case. 展开更多
关键词 Slope Body Excavation Mechanical Model Sliding Surface Coefficient of Stability calculation Principle Comprehensive analysis method
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Utility and Application of a Versatile Analytical Method for MMF Calculation in AC Machines 被引量:1
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作者 Ze-Zheng Wu Robert Nilssen Jian-Xin Shen 《CES Transactions on Electrical Machines and Systems》 EI CSCD 2024年第1期22-31,共10页
A versatile analytical method(VAM) for calculating the harmonic components of the magnetomotive force(MMF) generated by diverse armature windings in AC machines has been proposed, and the versatility of this method ha... A versatile analytical method(VAM) for calculating the harmonic components of the magnetomotive force(MMF) generated by diverse armature windings in AC machines has been proposed, and the versatility of this method has been established in early literature. However, its practical applications and significance in advancing the analysis of AC machines need further elaboration. This paper aims to complement VAM by augmenting its theory, offering additional insights into its conclusions, as well as demonstrating its utility in assessing armature windings and its application of calculating torque for permanent magnet synchronous machines(PMSM). This work contributes to advancing the analysis of AC machines and underscores the potential for improved design and performance optimization. 展开更多
关键词 AC machine Analytical method Harmonic analysis MMF Magnetic field Torque calculation
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PHYSICAL VALUE MAPPING ALGORITHM OF MESH IN FINE CAE ANALYSIS OF AUTOMOBILE BODY STRUCTURE 被引量:2
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作者 Hu Ping Gong Kejia Bao Yidong 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2005年第3期338-341,共4页
A physical value mapping (PVM) algorithm based on finite element mesh from the stamped part in stamping process to the product is presented, In order to improve the efficiency of the PVM algorithm, a search way from... A physical value mapping (PVM) algorithm based on finite element mesh from the stamped part in stamping process to the product is presented, In order to improve the efficiency of the PVM algorithm, a search way from the mesh of the product to the mesh of the stamped part will be adopted. At the same time, the search process is divided into two steps: entire search (ES) and local search (LS), which improve the searching efficiency. The searching area is enlarged to avoid missing projection elements in ES process. An arc-length method is introduced in LS process. The validity is confirmed by the results of the complex industry-forming product. 展开更多
关键词 Fine CAE analysis of auto body structure Finite element mesh Arc method Physical value mapping
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A two scaled numerical method for global analysis of high dimensional nonlinear systems
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作者 Jun Jiang 《Theoretical & Applied Mechanics Letters》 CAS 2011年第6期45-50,共6页
This paper first analyzes the features of two classes of numerical methods for global analysis of nonlinear dynamical systems,which regard state space respectively as continuous and discrete ones.On basis of this unde... This paper first analyzes the features of two classes of numerical methods for global analysis of nonlinear dynamical systems,which regard state space respectively as continuous and discrete ones.On basis of this understanding it then points out that the previously proposed method of point mapping under cell reference(PMUCR),has laid a frame work for the development of a two scaled numerical method suitable for the global analysis of high dimensional nonlinear systems,which may take the advantages of both classes of single scaled methods but will release the difficulties induced by the disadvantages of them.The basic ideas and main steps of implementation of the two scaled method,namely extended PMUCR,are elaborated.Finally,two examples are presented to demonstrate the capabilities of the proposed method. 展开更多
关键词 nonlinear systems global analysis multi-scaled numerical methods point mapping cell mapping point mapping under cell reference
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Patchwise Mapping Method for Solving Elliptic Boundary Value Problems Containing Multiple Singularities
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作者 Hyunju Kim 《Journal of Applied Mathematics and Physics》 2019年第7期1572-1598,共27页
In the paper [1], the geometrical mapping techniques based on Non-Uniform Rational B-Spline (NURBS) were introduced to solve an elliptic boundary value problem containing a singularity. In the mapping techniques, the ... In the paper [1], the geometrical mapping techniques based on Non-Uniform Rational B-Spline (NURBS) were introduced to solve an elliptic boundary value problem containing a singularity. In the mapping techniques, the inverse function of the NURBS geometrical mapping generates singular functions as well as smooth functions by an unconventional choice of control points. It means that the push-forward of the NURBS geometrical mapping that generates singular functions, becomes a piecewise smooth function. However, the mapping method proposed is not able to catch singularities emerging at multiple locations in a domain. Thus, we design the geometrical mapping that generates singular functions for each singular zone in the physical domain. In the design of the geometrical mapping, we should consider the design of control points on the interface between/among patches so that global basis functions are in C0?space. Also, we modify the B-spline functions whose supports include the interface between/among them. We put the idea in practice by solving elliptic boundary value problems containing multiple singularities. 展开更多
关键词 mapping method NON-UNIFORM Rational B-SPLINE (NURBS) GALERKIN Approximation Isogeometric analysis MULTIPLE SINGULARITIES
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共轭驱动的贝叶斯-蒙特卡罗耦合辐射场重建方法研究
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作者 郑岩 贺清明 +1 位作者 舒瀚林 曹良志 《核动力工程》 北大核心 2026年第1期41-50,共10页
为实现辐射场的高效、精确重建,本研究首先基于共轭驱动的贝叶斯模型,采用构造蒙特卡罗马尔科夫链(MCMC)方法,获得放射源的空间分布以及总活度,在此基础上基于蒙特卡罗粒子输运计算响应函数并反演放射源活度的分布,最终获得辐射场分布... 为实现辐射场的高效、精确重建,本研究首先基于共轭驱动的贝叶斯模型,采用构造蒙特卡罗马尔科夫链(MCMC)方法,获得放射源的空间分布以及总活度,在此基础上基于蒙特卡罗粒子输运计算响应函数并反演放射源活度的分布,最终获得辐射场分布。数值结果表明:对于考虑衰减介质多放射源的辐射场重建问题,与直接贝叶斯方法相比,基于本文提出的贝叶斯-蒙特卡罗耦合方法进行辐射场重建,能够将辐射场剂量率相对误差小于1%的空间占比从7.8%提高至55.0%,实现了辐射场的高精度重建。 展开更多
关键词 辐射场重建 贝叶斯分析 蒙特卡罗马尔科夫链(MCMC) 蒙特卡罗方法 共轭输运计算
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采用正交法的台阶篦齿流量系数影响分析
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作者 范健学 付仲议 +1 位作者 刘瑶 谢昌坦 《机械设计与制造》 北大核心 2026年第2期218-222,共5页
为研究空气系统中台阶篦齿封严特性,针对齿顶宽D、齿数N、齿顶间隙S、齿槽宽l及台阶高h共5个影响因素,利用正交法对16组几何模型进行数值计算,研究了其对流量系数的影响。结果表明:上述参数在所选范围内,对流量系数的影响程度由主到次... 为研究空气系统中台阶篦齿封严特性,针对齿顶宽D、齿数N、齿顶间隙S、齿槽宽l及台阶高h共5个影响因素,利用正交法对16组几何模型进行数值计算,研究了其对流量系数的影响。结果表明:上述参数在所选范围内,对流量系数的影响程度由主到次依次为:齿数N→齿槽宽l→齿顶间隙S→齿顶宽D→台阶高h;通过方差分析,齿数N和齿槽宽l影响非常显著,齿顶间隙S影响显著,齿顶宽D及台阶高h影响不显著;得到最小流量系数相对应的尺寸组合,并通过数值分析进行验证。 展开更多
关键词 台阶篦齿 几何参数 正交法 数值计算 流量系数 方差分析
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基于反应谱法的桥梁工程结构抗震性能研究
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作者 马明月 《科技创新与应用》 2026年第7期85-88,共4页
为评估软弱地基条件下长桩基础桥梁结构的地震动力响应特征,该文以某市域铁路高架桥工程为依托,建立桥梁-群桩基础-场地一体化三维数值模型,采用反应谱法并结合模态叠加技术开展抗震需求分析。研究结果表明:桥梁体系低阶模态以整体侧向... 为评估软弱地基条件下长桩基础桥梁结构的地震动力响应特征,该文以某市域铁路高架桥工程为依托,建立桥梁-群桩基础-场地一体化三维数值模型,采用反应谱法并结合模态叠加技术开展抗震需求分析。研究结果表明:桥梁体系低阶模态以整体侧向摆动为主,对墩顶位移与整体漂移等位移型指标贡献显著;高阶模态体现上部结构-墩柱-桩基与近场土体的局部耦合特征,其中周期接近特征周期附近的模态更易获得较高谱加速度需求,可能主导墩底弯矩/剪力、支座反力及桩基内力等力控制响应。反应谱位移云图显示地表响应放大、随深度衰减的剪切型变形规律,并在墩-桩-土体邻域形成明显的近场集中区,说明土-结构相互作用对桥梁抗震响应具有不可忽略的影响。研究成果可为软弱场地市域铁路桥梁的抗震分析、控制指标选取及关键构造设计提供参考。 展开更多
关键词 桥梁工程 抗震分析 反应谱法 动力响应 数值计算
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基于蒙特卡洛法的波浪极值推算不确定性分析
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作者 闫志铎 夏运强 +1 位作者 段成林 甄珠 《水运工程》 2026年第2期29-36,共8页
港口防波堤的设计标准一般需要通过推算波浪极值来确定,然而极值推算具有一定的不确定性。为了清晰地了解和把握推算结果的不确定性,分析观测误差、数据量和推算模型3种因素对推算结果造成的影响。基于蒙特卡洛法生成随机样本模拟3种因... 港口防波堤的设计标准一般需要通过推算波浪极值来确定,然而极值推算具有一定的不确定性。为了清晰地了解和把握推算结果的不确定性,分析观测误差、数据量和推算模型3种因素对推算结果造成的影响。基于蒙特卡洛法生成随机样本模拟3种因素,分别对应极值推算中的物理不确定性、统计不确定性和模型不确定性。结果表明,物理不确定性越大,极值推算结果越不稳定并有略微增大的趋势,且对短重现期极值的影响更大。较大的样本容量具有较小的统计不确定性,对于长重现期极值影响更大。对于短重现期,Pearson-Ⅲ分布具有较小的模型不确定性;对于长重现期,Weibull分布具有较小的模型不确定性。 展开更多
关键词 蒙特卡洛法 极值推算 不确定性分析 设计标准 重现期
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Force analysis of pile foundation in rock slope based on upper-bound theorem of limit 被引量:13
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作者 赵明华 刘建华 +1 位作者 刘代全 汪优 《Journal of Central South University of Technology》 EI 2008年第3期404-410,共7页
Based on the characteristic that the potential sliding surfaces of rock slope are commonly in the shape of either line or fold line,analysis thought of conventional pile foundation in the flat ground under complex loa... Based on the characteristic that the potential sliding surfaces of rock slope are commonly in the shape of either line or fold line,analysis thought of conventional pile foundation in the flat ground under complex load condition was applied and the upper-bound theorem of limit analysis was used to compute thrust of rock layers with all possible distribution shapes. The interaction of slope and pile was considered design load in terms of slope thrust,and the finite difference method was derived to calculate inner-force and displacement of bridge pile foundation in rock slope under complex load condition. The result of example shows that the distribution model of slope thrust has certain impact on displacement and inner-force of bridge pile foundation. The maximum displacement growth rate reaches 54% and the maximum moment and shear growth rates reach only 15% and 20%,respectively,but the trends of inner-force and displacement of bridge pile foundation are basically the same as those of the conventional pile foundation in the flat ground. When the piles bear the same level lateral thrust,the distribution shapes of slope thrust have different influence on inner-force of pile foundation,especially the rectangle distribution,and the triangle thrust has the smallest displacement and inner-force of pile foundation. 展开更多
关键词 pile foundation rock slope inner-force calculation finite difference method upper-bound theorem of limit analysis
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A Modified Back/Forward Sweep Method Based on the Electricity Consumption Data 被引量:1
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作者 Yanlu Huang Yan Li +2 位作者 Feng Chen Xu Zheng Jing Tang 《Energy and Power Engineering》 2017年第4期176-182,共7页
With the development of distribution automation system, the centralized meter reading system has been adopted more and more extensively, which provides real-time electricity consumption data of end-users, and conseque... With the development of distribution automation system, the centralized meter reading system has been adopted more and more extensively, which provides real-time electricity consumption data of end-users, and consequently lays foundation for operating condition on-line analysis of distribution network. In this paper, a modified back/forward sweep method, which directly uses real-time electricity consumption data acquired from the centralized meter reading system, is proposedto realize voltage analysis based on 24-hour electricity consumption data of a typical transformer district. Furthermore, the calculated line losses are verified through data collected from the energy metering of the distribution transformer, illustrating that the proposed method can be applied in analyzing voltage level and discovering unknown energy losses, which will lay foundation for on-line analysis, calculation and monitoring of power distribution network. 展开更多
关键词 LOW-VOLTAGE Distribution Network Back/Forward SWEEP method ELECTRICITY CONSUMPTION DATA On-Line analysis and calculation
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Glacial debris flow susceptibility mapping based on combined models in the Parlung Tsangpo Basin,China 被引量:1
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作者 ZHOU Yonghao HU Xiewen +6 位作者 XI Chuanjie WEN Hong CAO Xichao JIN Tao ZHOU Ruichen ZHANG Yu GONG Xueqiang 《Journal of Mountain Science》 SCIE CSCD 2024年第4期1231-1245,共15页
Machine learning(ML)-based prediction models for mapping hazard(e.g.,landslide and debris flow)susceptibility have been widely developed in recent research.However,in some specific areas,ML models have limited applica... Machine learning(ML)-based prediction models for mapping hazard(e.g.,landslide and debris flow)susceptibility have been widely developed in recent research.However,in some specific areas,ML models have limited application because of the uncertainties in identifying negative samples.The Parlung Tsangpo Basin exemplifies a region prone to recurrent glacial debris flows(GDFs)and is characterized by a prominent landform featuring deep gullies.Considering the limitations of the ML model,we developed and compared two combined statistical models(FA-WE and FA-IC)based on factor analysis(FA),weight of evidence(WE),and the information content(IC)method.The final GDF susceptibility maps were generated by selecting 8 most important static factors and considering the influence of precipitation.The results show that the FA-IC model has the best performance.The areas with a very high susceptibility to GDFs are primarily located in the narrow valley section upstream,on both sides of the valley in the middle and downstream of the Parlung Tsangpo River,and in the narrow valley section of each tributary.These areas encompass 86 gullies and are characterized as"narrow and steep". 展开更多
关键词 Parlung Tsangpo Basin Glacial debris flow Factor analysis Susceptibility mapping Weight of evidence Information content method.
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Global Analysis of Response in the Piezomagnetoelastic Energy Harvester System under Harmonic and Poisson White Noise Excitations
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作者 岳晓乐 徐伟 +1 位作者 张莹 王亮 《Communications in Theoretical Physics》 SCIE CAS CSCD 2015年第10期420-424,共5页
The piezomagnetoelastic energy harvester system subjected to harmonic and Poisson white noise excitations is studied by using the generalized cell mapping method. The transient and stationary probability density funct... The piezomagnetoelastic energy harvester system subjected to harmonic and Poisson white noise excitations is studied by using the generalized cell mapping method. The transient and stationary probability density functions(PDFs) of response based on the global viewpoint are obtained by the matrix analysis method. Monte Carlo simulation results verify the accuracy of this method. It can be observed that evolutionary direction of transient and stationary PDFs is in accordance with the unstable manifold for this system, and a stochastic P-bifurcation occurs as the intensity of Poisson white noise increases. This study presents an efficient numerical tool to solve the stochastic response of a three-dimensional dynamical system and provides a new idea to analyze the energy harvester system. 展开更多
关键词 GLOBAL analysis cell mapPING method POISSON WHITE
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Calculating method of circle radius using genetic algorithms
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作者 廖平 喻寿益 钟掘 《中国有色金属学会会刊:英文版》 CSCD 2000年第1期127-129,共3页
Some improved methods of the traditional genetic algorithms were proposed and their application in calculating circle radius was discussed. Simulation shows that real number encoding, simulated annealing and saving th... Some improved methods of the traditional genetic algorithms were proposed and their application in calculating circle radius was discussed. Simulation shows that real number encoding, simulated annealing and saving the best individual into the next generation can effectively improve the accuracy and speed up the searching for global optimization. It is also shown that improved genetic algorithms can effectively calculate the circle radius and be realized easily using computer. 展开更多
关键词 GENETIC ALGORITHMS circle RADIUS CALCULATING method ERROR analysis
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An introduction to the riometer system deployed at China-Iceland joint Arctic observatory and its beam-forming correction method based on the preliminary data
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作者 HE Fang HU Zejun +2 位作者 HU Hongqiao HUANG Dehong YU Yao 《Advances in Polar Science》 CSCD 2021年第3期248-260,共13页
The China-Iceland joint Arctic observatory(CIAO)has formally been operating since October 18,2018,and an imaging riometer system was deployed at CIAO in August 2019 for the conjunction observation purpose with the co-... The China-Iceland joint Arctic observatory(CIAO)has formally been operating since October 18,2018,and an imaging riometer system was deployed at CIAO in August 2019 for the conjunction observation purpose with the co-located ground-based all sky imager auroral observation system.The features of the riometer and antenna system are presented.The riometer’s beam-forming performance were evaluated with the analysis method introduced in detail.The analysis results showed that the mapping of beams was incorrectly ordered,and the correction has been made.The revised ordering result was reasonably verified and the analysis method was proved to be effective. 展开更多
关键词 imaging riometer beam forming analysis method mapping
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Theoretical shape analysis of tapered fibers using a movable large-zone furnace
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作者 孙伟民 袁明 +1 位作者 曾宪金 T.A.Birks 《Optoelectronics Letters》 EI 2011年第2期154-157,共4页
To estimate the shape of tapered fibers using tapering machines with movable large-zone furnaces, a new calculation method is proposed based on the discrete deducing method and the principle of the volume conservation... To estimate the shape of tapered fibers using tapering machines with movable large-zone furnaces, a new calculation method is proposed based on the discrete deducing method and the principle of the volume conservation of the fiber materials. This method can estimate the tapering results, i.e., the shape of the tapered fibers, based on arbitrary moving parameters of the large-zone furnace and the fiber holders. The theoretical estimated results agree with the experimental measuring shape of the tapered fibers quite well. 展开更多
关键词 Furnaces calculation methods Fiber holders Fiber materials Shape analysis Tapered fiber Volume conservation
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Periodic Windows in Weakly Coupled Map Lattices
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作者 GAO Ji-Hua ZHAN Meng 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第3期669-672,共4页
The periodic windows in weakly coupled map lattices with both diffusive and gradient couplings are studied. By using the mode analysis method, which reduces the behavior of the coupled systems to a few numbers of inde... The periodic windows in weakly coupled map lattices with both diffusive and gradient couplings are studied. By using the mode analysis method, which reduces the behavior of the coupled systems to a few numbers of independent modes, we theoretically analyze the detailed structures of the periodic windows. We find that the gradient coupling greatly enlarges the width of the periodic windows, compared with the diffusive coupling. 展开更多
关键词 periodic windows coupled map lattices mode analysis method
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基于状态空间离散的非线性动力系统全局分析方法进展:从模型驱动到数据驱动 被引量:1
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作者 李自刚 洪灵 江俊 《力学进展》 北大核心 2025年第3期455-496,共42页
非线性动力系统的一切响应行为均受制于其内在的全局结构,诸如多稳吸引子及其影响域的形貌和空间分布,不稳定不变集和不变流形等.因而,在指定状态空间内开展全局分析,不仅可以获得认识和预测系统响应的全部信息,还能深刻揭示诱发系统复... 非线性动力系统的一切响应行为均受制于其内在的全局结构,诸如多稳吸引子及其影响域的形貌和空间分布,不稳定不变集和不变流形等.因而,在指定状态空间内开展全局分析,不仅可以获得认识和预测系统响应的全部信息,还能深刻揭示诱发系统复杂分岔、激变或边界蜕变等众多动力学现象的内在机制.目前,数值方法仍是非线性动力系统全局分析的最有效手段.相较于点尺度的数值积分方法或点映射法,基于状态空间离散思想的方法(如:胞映射方法等),其采用子集覆盖来逼近系统的不变集,一方面可以高效刻画系统的全局结构形貌,另一方面可以实现对相邻轨道动态特征的集合表征.胞映射方法经历40余年的发展,其功能不断增强,计算效率和精度已显著提升,应用场景也逐渐拓宽.本文第2节从当前的视角对状态空间离散方式进行简要归类,以便于读者更好地了解在全局分析实施过程中该框架体系的本质及优势.第3节着重介绍近些年提出的一系列状态空间离散方法,展示在非线性系统全局结构的高效刻画和内在特征的数据表征两方面已取得的最新进展,突出全局分析从模型驱动向数据驱动的思维模式转变.第4节总结意义和价值,并就如何在状态空间离散框架下进一步泛化全局分析的概念,以及应对未来发展和应用需求可能面临的问题和可以拓展的方向提出见解. 展开更多
关键词 状态空间离散 全局分析 胞映射方法 模型驱动 数据驱动
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Analysis and Application of Prevention and Control Technology of Water Accumulation in Goaf above Working Face
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作者 XUWeijie 《外文科技期刊数据库(文摘版)工程技术》 2022年第1期168-172,共5页
Prevention and control of water disasters is an important part of coal mine safety. Water accumulation in goaf is a common major flood, especially in shallow coal seams, which brings huge potential safety hazard to th... Prevention and control of water disasters is an important part of coal mine safety. Water accumulation in goaf is a common major flood, especially in shallow coal seams, which brings huge potential safety hazard to the mining of underlying coal seams. In this paper, the 8105 working face of a coal mine is taken as the research object, and the safe mining technology of the working face under the condition of water accumulation in the overlying goaf is studied by using the methods of field test, theoretical analysis and theoretical calculation. The research results show that: ① In rainy season, the atmospheric precipitation leaks along the mining cracks, resulting in water accumulation in the goaf above the 8105 working face;② Faults and structural cracks become hydraulic passages between the 8105 working face and the overlying goaf;③ Reasonable passage and arrangement of groundwater detection and release scheme have realized the safe mining of 8105 working face. 展开更多
关键词 goaf water safe recovery ground borehole water exploration and drainage transient electromagnetic method theoretical analysis and calculation
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