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A New Inversion-free Iterative Method for Solving the Nonlinear Matrix Equation and Its Application in Optimal Control
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作者 GAO Xiangyu XIE Weiwei ZHANG Lina 《应用数学》 北大核心 2026年第1期143-150,共8页
In this paper,we consider the maximal positive definite solution of the nonlinear matrix equation.By using the idea of Algorithm 2.1 in ZHANG(2013),a new inversion-free method with a stepsize parameter is proposed to ... In this paper,we consider the maximal positive definite solution of the nonlinear matrix equation.By using the idea of Algorithm 2.1 in ZHANG(2013),a new inversion-free method with a stepsize parameter is proposed to obtain the maximal positive definite solution of nonlinear matrix equation X+A^(*)X|^(-α)A=Q with the case 0<α≤1.Based on this method,a new iterative algorithm is developed,and its convergence proof is given.Finally,two numerical examples are provided to show the effectiveness of the proposed method. 展开更多
关键词 Nonlinear matrix equation Maximal positive definite solution Inversion-free iterative method Optimal control
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Crushing evolution in pebble bed based on a novel method:a crushable DEM study
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作者 Jian Wang Ming‑Zhun Lei +4 位作者 Ming‑Zong Liu Qi‑Gang Wu Zi‑Cong Cai Kai‑Song Wang Hai‑Shun Deng 《Nuclear Science and Techniques》 2026年第1期212-224,共13页
In this paper,a novel method for investigating the particle-crushing behavior of breeding particles in a fusion blanket is proposed.The fractal theory and Weibull distribution are combined to establish a theoretical m... In this paper,a novel method for investigating the particle-crushing behavior of breeding particles in a fusion blanket is proposed.The fractal theory and Weibull distribution are combined to establish a theoretical model,and its validity was verified using a simple impact test.A crushable discrete element method(DEM)framework is built based on the previously established theoretical model.The tensile strength,which considers the fractal theory,size effect,and Weibull variation,was assigned to each generated particle.The assigned strength is then used for crush detection by comparing it with its maximum tensile stress.Mass conservation is ensured by inserting a series of sub-particles whose total mass was equal to the quality loss.Based on the crushable DEM framework,a numerical simulation of the crushing behavior of a pebble bed with hollow cylindrical geometry under a uniaxial compression test was performed.The results of this investigation showed that the particle withstands the external load by contact and sliding at the beginning of the compression process,and the results confirmed that crushing can be considered an important method of resisting the increasing external load.A relatively regular particle arrangement aids in resisting the load and reduces the occurrence of particle crushing.However,a limit exists to the promotion of resistance.When the strain increases beyond this limit,the distribution of the crushing position tends to be isotropic over the entire pebble bed.The theoretical model and crushable DEM framework provide a new method for exploring the pebble bed in a fusion reactor,considering particle crushing. 展开更多
关键词 Crushing behavior Granular material Discrete element method Pebble bed Fractal theory
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A Deep Reinforcement Learning-Based Partitioning Method for Power System Parallel Restoration
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作者 Changcheng Li Weimeng Chang +1 位作者 Dahai Zhang Jinghan He 《Energy Engineering》 2026年第1期243-264,共22页
Effective partitioning is crucial for enabling parallel restoration of power systems after blackouts.This paper proposes a novel partitioning method based on deep reinforcement learning.First,the partitioning decision... Effective partitioning is crucial for enabling parallel restoration of power systems after blackouts.This paper proposes a novel partitioning method based on deep reinforcement learning.First,the partitioning decision process is formulated as a Markov decision process(MDP)model to maximize the modularity.Corresponding key partitioning constraints on parallel restoration are considered.Second,based on the partitioning objective and constraints,the reward function of the partitioning MDP model is set by adopting a relative deviation normalization scheme to reduce mutual interference between the reward and penalty in the reward function.The soft bonus scaling mechanism is introduced to mitigate overestimation caused by abrupt jumps in the reward.Then,the deep Q network method is applied to solve the partitioning MDP model and generate partitioning schemes.Two experience replay buffers are employed to speed up the training process of the method.Finally,case studies on the IEEE 39-bus test system demonstrate that the proposed method can generate a high-modularity partitioning result that meets all key partitioning constraints,thereby improving the parallelism and reliability of the restoration process.Moreover,simulation results demonstrate that an appropriate discount factor is crucial for ensuring both the convergence speed and the stability of the partitioning training. 展开更多
关键词 Partitioning method parallel restoration deep reinforcement learning experience replay buffer partitioning modularity
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An improved open-top dynamic chambers method for measuring the exchange fluxes of N_(2)O,NO and NH_(3) from farmland
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作者 Minhang Tan Yining Hu +6 位作者 Yifei Song Zixuan Huang Yujing Mu Junfeng Liu Chenglong Zhang Pengfei Liu Yuanyuan Zhang 《Journal of Environmental Sciences》 2026年第1期535-545,共11页
The application of nitrogen fertilizers in agricultural fields can lead to the release of nitrogen-containing gases(NCGs),such as NO_(x),NH_(3) and N_(2)O,which can significantly impact regional atmospheric environmen... The application of nitrogen fertilizers in agricultural fields can lead to the release of nitrogen-containing gases(NCGs),such as NO_(x),NH_(3) and N_(2)O,which can significantly impact regional atmospheric environment and con-tribute to global climate change.However,there remain considerable research gaps in the accurate measurement of NCGs emissions from agricultural fields,hindering the development of effective emission reduction strategies.We improved an open-top dynamic chambers(OTDCs)system and evaluated the performance by comparing the measured and given fluxes of the NCGs.The results showed that the measured fluxes of NO,N_(2)O and NH_(3)were 1%,2%and 7%lower than the given fluxes,respectively.For the determination of NH_(3) concentration,we employed a stripping coil-ion chromatograph(SC-IC)analytical technique,which demonstrated an absorption efficiency for atmospheric NH_(3) exceeding 96.1%across sampling durations of 6 to 60 min.In the summer maize season,we utilized the OTDCs system to measure the exchange fluxes of NO,NH_(3),and N_(2)O from the soil in the North China Plain.Substantial emissions of NO,NH_(3) and N_(2)O were recorded following fertilization,with peaks of 107,309,1239 ng N/(m^(2)·s),respectively.Notably,significant NCGs emissions were observed following sus-tained heavy rainfall one month after fertilization,particularly with NH_(3) peak being 4.5 times higher than that observed immediately after fertilization.Our results demonstrate that the OTDCs system accurately reflects the emission characteristics of soil NCGs and meets the requirements for long-term and continuous flux observation. 展开更多
关键词 Open-top dynamic chambers Nitrogen-containing gases Soil emissions North China Plain method evaluation
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Centralized Circumcentered-Reection Method for Solving the Convex Feasibility Problem in Sparse Signal Recovery
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作者 Chunmei LI Bangjun CHEN Xuefeng DUAN 《Journal of Mathematical Research with Applications》 2026年第1期119-133,共15页
Convex feasibility problems are widely used in image reconstruction,sparse signal recovery,and other areas.This paper is devoted to considering a class of convex feasibility problem arising from sparse signal recovery... Convex feasibility problems are widely used in image reconstruction,sparse signal recovery,and other areas.This paper is devoted to considering a class of convex feasibility problem arising from sparse signal recovery.We rst derive the projection formulas for a vector onto the feasible sets.The centralized circumcentered-reection method is designed to solve the convex feasibility problem.Some numerical experiments demonstrate the feasibility and e ectiveness of the proposed algorithm,showing superior performance compared to conventional alternating projection methods. 展开更多
关键词 convex feasibility problem centralized circumcentered-re ection method sparse signal recovery compressed sensing
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Numerical Simulation of the Welding Deformation of Marine Thin Plates Based on a Temperature Gradient-thermal Strain Method
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作者 Lin Wang Yugang Miao +3 位作者 Zhenjian Zhuo Chunxiang Lin Benshun Zhang Duanfeng Han 《哈尔滨工程大学学报(英文版)》 2026年第1期122-135,共14页
Marine thin plates are susceptible to welding deformation owing to their low structural stiffness.Therefore,the efficient and accurate prediction of welding deformation is essential for improving welding quality.The t... Marine thin plates are susceptible to welding deformation owing to their low structural stiffness.Therefore,the efficient and accurate prediction of welding deformation is essential for improving welding quality.The traditional thermal elastic-plastic finite element method(TEP-FEM)can accurately predict welding deformation.However,its efficiency is low because of the complex nonlinear transient computation,making it difficult to meet the needs of rapid engineering evaluation.To address this challenge,this study proposes an efficient prediction method for welding deformation in marine thin plate butt welds.This method is based on the coupled temperature gradient-thermal strain method(TG-TSM)that integrates inherent strain theory with a shell element finite element model.The proposed method first extracts the distribution pattern and characteristic value of welding-induced inherent strain through TEP-FEM analysis.This strain is then converted into the equivalent thermal load applied to the shell element model for rapid computation.The proposed method-particularly,the gradual temperature gradient-thermal strain method(GTG-TSM)-achieved improved computational efficiency and consistent precision.Furthermore,the proposed method required much less computation time than the traditional TEP-FEM.Thus,this study lays the foundation for future prediction of welding deformation in more complex marine thin plates. 展开更多
关键词 Marine thin plate Welding deformation Numerical simulation Temperature gradient-thermal strain method Shell element
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Precision and trueness of a method for determing antimony content in groundwater using hydride generation-atomic fluorescence spectrometry
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作者 Bing-bing Liu Lin Zhang Ke Li 《Journal of Groundwater Science and Engineering》 2026年第1期49-58,共10页
At present,there is currently a lack of unified standard methods for the determination of antimony content in groundwater in China.The precision and trueness of related detection technologies have not yet been systema... At present,there is currently a lack of unified standard methods for the determination of antimony content in groundwater in China.The precision and trueness of related detection technologies have not yet been systematically and quantitatively evaluated,which limits the effective implementation of environmental monitoring.In response to this key technical gap,this study aimed to establish a standardized method for determining antimony in groundwater using Hydride Generation–Atomic Fluorescence Spectrometry(HG-AFS).Ten laboratories participated in inter-laboratory collaborative tests,and the statistical analysis of the test data was carried out in strict accordance with the technical specifications of GB/T 6379.2—2004 and GB/T 6379.4—2006.The consistency and outliers of the data were tested by Mandel's h and k statistics,the Grubbs test and the Cochran test,and the outliers were removed to optimize the data,thereby significantly improving the reliability and accuracy.Based on the optimized data,parameters such as the repeatability limit(r),reproducibility limit(R),and method bias value(δ)were determined,and the trueness of the method was statistically evaluated.At the same time,precision-function relationships were established,and all results met the requirements.The results show that the lower the antimony content,the lower the repeatability limit(r)and reproducibility limit(R),indicating that the measurement error mainly originates from the detection limit of the method and instrument sensitivity.Therefore,improving the instrument sensitivity and reducing the detection limit are the keys to controlling the analytical error and improving precision.This study provides reliable data support and a solid technical foundation for the establishment and evaluation of standardized methods for the determination of antimony content in groundwater. 展开更多
关键词 Mandel's h and k statistics Grubbs test Cochran test Repeatability limit Reproducibility limit method bias value
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基于两阶段聚类和MCMC算法的风光出力序列建模方法 被引量:1
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作者 郭红霞 邹桂林 +3 位作者 王子强 陈凌轩 马骞 陈亦平 《太阳能学报》 北大核心 2025年第1期491-502,共12页
针对风光出力的随机性建模问题,提出一种基于两阶段聚类和双层马尔科夫链模型的风光相关出力序列建模方法。首先采用两阶段聚类得到不同的风光典型日出力模式,第1阶段采用自组织映射聚类方法识别不同气象条件下的光伏出力类型;第2阶段... 针对风光出力的随机性建模问题,提出一种基于两阶段聚类和双层马尔科夫链模型的风光相关出力序列建模方法。首先采用两阶段聚类得到不同的风光典型日出力模式,第1阶段采用自组织映射聚类方法识别不同气象条件下的光伏出力类型;第2阶段采用近邻传播聚类方法对不同光伏出力类型对应的风电出力样本进行聚类。其次,建立双层马尔科夫链模型描述风光出力的相依变化,上层建立单变量马尔科夫链模型描述风光出力模式的日间转移,下层建立双变量马尔科夫链模型描述风光出力日内相邻时刻的状态转移。最后,采用MCMC模拟方法得到指定时间长度的风光出力序列。仿真算例表明,所提方法在各项评价指标上均优于传统MCMC方法及Copula模型,能生成更符合风光实际相关性的出力序列。 展开更多
关键词 时间序列 风电场 光伏电站 聚类分析 马尔科夫链蒙特卡洛方法 时空相关性
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基于自适应MCMC的鲁棒因子图优化组合导航算法 被引量:1
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作者 陈熙源 崔天昊 钟雨露 《仪器仪表学报》 北大核心 2025年第2期81-91,共11页
在城市峡谷环境中,GNSS多径效应与非视距现象严重,会极大影响GNSS的定位精度,进而影响INS/GNSS组合导航系统的定位效果。然而传统的INS/GNSS组合导航系统无法确定在城市峡谷环境中快速变化的GNSS量测噪声,为保证组合导航系统的抗差性能... 在城市峡谷环境中,GNSS多径效应与非视距现象严重,会极大影响GNSS的定位精度,进而影响INS/GNSS组合导航系统的定位效果。然而传统的INS/GNSS组合导航系统无法确定在城市峡谷环境中快速变化的GNSS量测噪声,为保证组合导航系统的抗差性能和估计精度,针对传统因子图优化算法中量测噪声协方差矩阵不准确带来状态估计精度下降的问题,提出了一种基于自适应MCMC的鲁棒因子图优化组合导航算法。首先,基于先验和后验两阶段将自适应MCMC引入因子图优化框架,在先验中通过MCMC算法将对后验概率采样转化为对先验概率和似然概率的乘积进行采样,并引入自适应策略提高采样效率,得到后验概率对应的样本集。在后验中,通过KL散度最小化近似后验和真实后验,从而精确估计GNSS时变量测噪声协方差;其次,引入新息χ^(2)检测算法,通过构建假设检验统计量和量测异常边界值来检测和剔除粗差。所提方法在减小粗差干扰的同时能有效估计GNSS时变量测噪声。由INS/GNSS组合导航的仿真和现场实验表明,所提方法相比普通因子图优化算法和基于变分贝叶斯的鲁棒自适应因子图优化算法在水平定位均方根误差上分别减小了20.4%、11.9%和71.6%、25.2%,具有较好的鲁棒性。 展开更多
关键词 组合导航 因子图优化 自适应mcmc 新息χ^(2)检测算法
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基于高阶特征挖掘和贝叶斯MCMC方法的建筑能耗预测
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作者 那威 孔纯盛 《暖通空调》 2025年第2期60-66,59,共8页
针对建筑能耗预测模型需要解决解释变量选取困难、建筑样本数据有限和建模算法难以捕捉复杂的非线性关系等问题,提出了基于高阶特征挖掘和贝叶斯MCMC(马尔可夫链蒙特卡罗)方法的能耗预测模型。本研究利用建筑本体、建筑环境及建筑人员... 针对建筑能耗预测模型需要解决解释变量选取困难、建筑样本数据有限和建模算法难以捕捉复杂的非线性关系等问题,提出了基于高阶特征挖掘和贝叶斯MCMC(马尔可夫链蒙特卡罗)方法的能耗预测模型。本研究利用建筑本体、建筑环境及建筑人员活动等特征指标作为模型输入,以CBECS数据库中205栋办公建筑的供热能耗数据作为训练集样本,选用符号检验与K-fold交叉验证识别高响应交互作用因子组合,通过MCMC方法进行重要性采样,预测了办公建筑的供热能耗强度。研究发现,建筑的层高、面积、层数之间存在高阶交互关系,模型预测精确度指标归一化平均偏差(NMBE)为3.5%,均方根误差(RMSE)为0.014,均方根误差变异系数(CVRMSE)为14.0%,可有效预测办公建筑供热能耗。 展开更多
关键词 高阶特征挖掘 K-Fold交叉验证 贝叶斯模型 mcmc方法 能耗预测
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Rock physics inversion based on an optimized MCMC method 被引量:2
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作者 Zhang Jia-Jia Li Hong-Bing +2 位作者 Zhang Guang-Zhi Gu Yi-Peng Liu Zhuo-Fan 《Applied Geophysics》 SCIE CSCD 2021年第3期288-298,431,共12页
Rock physics inversion is to use seismic elastic properties of underground strata for predicting reservoir petrophysical parameters.The Markov chain Monte Carlo(MCMC)algorithm is commonly used to solve rock physics in... Rock physics inversion is to use seismic elastic properties of underground strata for predicting reservoir petrophysical parameters.The Markov chain Monte Carlo(MCMC)algorithm is commonly used to solve rock physics inverse problems.However,all the parameters to be inverted are iterated simultaneously in the conventional MCMC algorithm.What is obtained is an optimal solution of combining the petrophysical parameters with being inverted.This study introduces the alternating direction(AD)method into the MCMC algorithm(i.e.the optimized MCMC algorithm)to ensure that each petrophysical parameter can get the optimal solution and improve the convergence of the inversion.Firstly,the Gassmann equations and Xu-White model are used to model shaly sandstone,and the theoretical relationship between seismic elastic properties and reservoir petrophysical parameters is established.Then,in the framework of Bayesian theory,the optimized MCMC algorithm is used to generate a Markov chain to obtain the optimal solution of each physical parameter to be inverted and obtain the maximum posterior density of the physical parameter.The proposed method is applied to actual logging and seismic data and the results show that the method can obtain more accurate porosity,saturation,and clay volume. 展开更多
关键词 Rock physics inversion petrophysical parameters prediction rock physics model optimized mcmc
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AN ALGORITHM OF MCMC METHOD FOR SOLVING F(X)=0
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作者 ZhengZukang 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2004年第1期90-100,共11页
An algorithm of continuous stage space MCMC method for solving algebra equation f(x) =0 is given.It is available for the case that the sign of f(x) changes frequently or the derivative f′(x) does not exist in th... An algorithm of continuous stage space MCMC method for solving algebra equation f(x) =0 is given.It is available for the case that the sign of f(x) changes frequently or the derivative f′(x) does not exist in the neighborhood o f the root,while the Newton method is hard to work.Let n be the number of random variables created by computer in our algorithm.Then after m=O(n) transactions from the initial value x 0,x * can be got such that |f(x *)|<e -cm |f(x 0)| by choosing suitable positive constant c. An illustration is also given with the discussion of convergence by adjusting the parameters in the algorithm. 展开更多
关键词 Markov Chain Monte Carlo(mcmc) method.
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基于MCMC法的洪水资源利用大坝安全风险研究 被引量:1
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作者 袁玉 胡学东 +2 位作者 洪兴骏 丁毅 董宗师 《水电能源科学》 北大核心 2025年第4期208-212,共5页
针对传统的概率统计(PSA)法计算基于水库汛限水位优化的洪水资源利用大坝安全风险率需以充分历史统计资料为依据的局限性,提出采用马尔科夫链蒙特卡罗随机模拟(MCMC)法计算大坝安全风险率,并以石梁河水库开展实例研究。结果表明,MCMC法... 针对传统的概率统计(PSA)法计算基于水库汛限水位优化的洪水资源利用大坝安全风险率需以充分历史统计资料为依据的局限性,提出采用马尔科夫链蒙特卡罗随机模拟(MCMC)法计算大坝安全风险率,并以石梁河水库开展实例研究。结果表明,MCMC法适用于洪水资源利用大坝安全风险率计算,对缺乏统计资料地区或统计资料不充分地区MCMC法的计算结果精度优于PSA法,且MCMC法的计算结果精度随模拟洪水场次的增加而提高;MCMC法在较低汛限水位计算风险率偏低、较高汛限水位计算风险率偏高,有利于在充分评估大坝安全风险的前提下发挥水库洪水资源利用效益,确定更加经济可靠的汛限水位优化方案。 展开更多
关键词 洪水资源利用 大坝安全风险率 PSA法 mcmc 石梁河水库
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基于MCMC算法的福建闽北杉木单木冠幅模型研究
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作者 杨自鑫 谢运鸿 孙玉军 《林业科学研究》 北大核心 2025年第4期175-186,共12页
[目的]建立针对杉木人工林的单木冠幅模型,增强对杉木冠幅大小的预测准确性,并为杉木人工林的专业管理提供理论支持和依据。[方法]本研究以福建省将乐国有林场29块样地共计2005株杉木为研究对象,构建基于多种算法的杉木单木冠幅模型进... [目的]建立针对杉木人工林的单木冠幅模型,增强对杉木冠幅大小的预测准确性,并为杉木人工林的专业管理提供理论支持和依据。[方法]本研究以福建省将乐国有林场29块样地共计2005株杉木为研究对象,构建基于多种算法的杉木单木冠幅模型进行对比。从11种常用的冠幅—胸径模型中筛选出最优的逻辑斯蒂模型作为基础模型,在基础模型中添加树高、林分密度和基尼系数(Gini)等单木和林分因子作为协变量参与建模,得到广义冠幅模型,然后添加样地随机效应构建非线性混合效应模型;采用随机森林和支持向量机等随机森林算法构建杉木冠幅模型,并采用贝叶斯优化模型的超参数优化模型,得到最优超参数代入建模。采用十折交叉验证方法,以调整后的决定系数(R_(adj)^(2))和剩余均方根误差(RMSE)模型评价指标对各模型的预测效果进行评价。为进一步提高2种机器学习算法的预测精度,采用马尔可夫链蒙特卡罗算法(MCMC算法)联合随机森林与支持向量机建模,并对比基础MCMC算法与高级Stan算法在预测冠幅方面的表现。[结果]结果表明,添加样地随机效应的非线性混合效应模型预测精度高于广义模型,R_(adj)^(2)提升0.1070,RMSE下降0.0577,运用随机森林和支持向量机算法构建的冠幅模型展现出相似的预测性能,采用MCMC方法联合RF和SVM建模,MCMC链得到较好收敛,相较于基础MCMC算法,高级Stan算法各参数间自相关性显著降低,且预测精度得到提高,R_(adj)^(2)由0.6326提升至0.8495。[结论]本研究提出的基于MCMC算法和机器学习的方法有效提升了冠幅预测精度,对福建闽北现有冠幅模型的改进和应用提供了理论参考。 展开更多
关键词 冠幅 GINI系数 混合效应模型 机器学习算法 mcmc算法
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Structural Modal Parameter Recognition and Related Damage Identification Methods under Environmental Excitations:A Review 被引量:5
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作者 Chao Zhang Shang-Xi Lai Hua-Ping Wang 《Structural Durability & Health Monitoring》 EI 2025年第1期25-54,共30页
Modal parameters can accurately characterize the structural dynamic properties and assess the physical state of the structure.Therefore,it is particularly significant to identify the structural modal parameters accordi... Modal parameters can accurately characterize the structural dynamic properties and assess the physical state of the structure.Therefore,it is particularly significant to identify the structural modal parameters according to the monitoring data information in the structural health monitoring(SHM)system,so as to provide a scientific basis for structural damage identification and dynamic model modification.In view of this,this paper reviews methods for identifying structural modal parameters under environmental excitation and briefly describes how to identify structural damages based on the derived modal parameters.The paper primarily introduces data-driven modal parameter recognition methods(e.g.,time-domain,frequency-domain,and time-frequency-domain methods,etc.),briefly describes damage identification methods based on the variations of modal parameters(e.g.,natural frequency,modal shapes,and curvature modal shapes,etc.)and modal validation methods(e.g.,Stability Diagram and Modal Assurance Criterion,etc.).The current status of the application of artificial intelligence(AI)methods in the direction of modal parameter recognition and damage identification is further discussed.Based on the pre-vious analysis,the main development trends of structural modal parameter recognition and damage identification methods are given to provide scientific references for the optimized design and functional upgrading of SHM systems. 展开更多
关键词 Structural health monitoring data information modal parameters damage identification AI method
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Study of the Transport Behavior of Multispherical Proppant in Intersecting Fracture Based on Discrete Element Method 被引量:1
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作者 Chengyong Peng JianshuWu +2 位作者 Mao Jiang Biao Yin Yishan Lou 《Energy Engineering》 EI 2025年第1期185-201,共17页
To analyze the differences in the transport and distribution of different types of proppants and to address issues such as the short effective support of proppant and poor placement in hydraulically intersecting fract... To analyze the differences in the transport and distribution of different types of proppants and to address issues such as the short effective support of proppant and poor placement in hydraulically intersecting fractures,this study considered the combined impact of geological-engineering factors on conductivity.Using reservoir production parameters and the discrete elementmethod,multispherical proppants were constructed.Additionally,a 3D fracture model,based on the specified conditions of the L block,employed coupled(Computational Fluid Dynamics)CFD-DEM(Discrete ElementMethod)for joint simulations to quantitatively analyze the transport and placement patterns of multispherical proppants in intersecting fractures.Results indicate that turbulent kinetic energy is an intrinsic factor affecting proppant transport.Moreover,the efficiency of placement and migration distance of low-sphericity quartz sand constructed by the DEM in the main fracture are significantly reduced compared to spherical ceramic proppants,with a 27.7%decrease in the volume fraction of the fracture surface,subsequently affecting the placement concentration and damaging fracture conductivity.Compared to small-angle fractures,controlling artificial and natural fractures to expand at angles of 45°to 60°increases the effective support length by approximately 20.6%.During hydraulic fracturing of gas wells,ensuring the fracture support area and post-closure conductivity can be achieved by controlling the sphericity of proppants and adjusting the perforation direction to control the direction of artificial fractures. 展开更多
关键词 Hydraulic fracturing discrete element method PROPPANT SPHERICITY CFD-DEM
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基于改进MCMC算法和代理模型的结构仿真模型更新
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作者 缪季 段立平 +2 位作者 刘吉明 林思伟 赵金城 《上海交通大学学报》 北大核心 2025年第8期1114-1122,共9页
为提高有限元模型仿真精度,提出了一种基于贝叶斯理论的模型更新框架,并利用改进马尔可夫链蒙特卡罗(MCMC)算法和代理模型提升了更新效率.以待更新参数为输入、有限元模型模态响应为输出构建径向基函数(RBF)代理模型,将鲸鱼优化算法(WOA... 为提高有限元模型仿真精度,提出了一种基于贝叶斯理论的模型更新框架,并利用改进马尔可夫链蒙特卡罗(MCMC)算法和代理模型提升了更新效率.以待更新参数为输入、有限元模型模态响应为输出构建径向基函数(RBF)代理模型,将鲸鱼优化算法(WOA)引入MCMC算法,更新有限元模型的不确定参数.最后,通过一例简支梁数值算例和三层钢框架的试验研究证明了该算法的准确性.结果表明,WOA可以明显改善MCMC算法的采样平稳性和收敛速度,更新效率最高可提升13.9%,基于鲸鱼优化的Metropolis-Hastings(WO-MH)算法更新的简支梁模型和三层钢框架模型最大频率误差分别为0.009%和2.41%.所提模型更新方法在二维输入和八维输入的情况下均能有效提升有限元模型的仿真精度,为建筑结构的精益化仿真和优化设计提供技术参照. 展开更多
关键词 模型更新 贝叶斯理论 马尔可夫链蒙特卡罗 鲸鱼优化算法 代理模型
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基于构造倾角约束的BLI-MCMC叠前随机反演
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作者 李芳 孙万元 +1 位作者 陈祖银 汪锐 《石油地球物理勘探》 北大核心 2025年第5期1247-1260,共14页
叠前反演是获取地下介质弹性参数的一种重要手段,马尔可夫蒙特卡洛(Markov Chain Monte Carlo,MCMC)算法是叠前反演求解的经典方法。相比于传统的数值优化算法和线性反演方法,MCMC反演算法具备更高的精度,但仍然存在依赖初始模型、计算... 叠前反演是获取地下介质弹性参数的一种重要手段,马尔可夫蒙特卡洛(Markov Chain Monte Carlo,MCMC)算法是叠前反演求解的经典方法。相比于传统的数值优化算法和线性反演方法,MCMC反演算法具备更高的精度,但仍然存在依赖初始模型、计算耗时长和不确定性大等问题。为此,对常规MCMC反演算法进行改进,提出基于构造倾角约束的BLI-MCMC叠前随机反演方法。首先,将地质构造倾角加入先验约束信息中,提高反演的采样效率,降低反演结果的不确定性;然后,利用贝叶斯线性反演(Bayesian Linear Inversion,BLI)算法为MCMC反演提供良好的初始模型,并作为迭代起点,缩短马尔科夫链的燃烧时间,从初始模型角度提高反演的效率。模拟数据和实际资料应用结果均表明,改进后的方法能够显著提高反演精度和效率,保持了地下介质较高的横向连续性。该方法可为地下起伏介质的反演提供技术支撑。 展开更多
关键词 叠前反演 非线性随机 构造倾角约束 mcmc BLI
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Combing the Entropy Weight Method with Fuzzy Mathematics for Assessing the Quality and Post-Ripening Mechanism of High-Temperature Daqu during Storage 被引量:1
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作者 YANG Junlin YANG Shaojuan +8 位作者 WU Cheng YIN Yanshun YOU Xiaolong ZHAO Wenyu ZHU Anran WANG Jia HU Feng HU Jianfeng WANG Diqiang 《食品科学》 北大核心 2025年第9期48-62,共15页
This study investigated the physicochemical properties,enzyme activities,volatile flavor components,microbial communities,and sensory evaluation of high-temperature Daqu(HTD)during the maturation process,and a standar... This study investigated the physicochemical properties,enzyme activities,volatile flavor components,microbial communities,and sensory evaluation of high-temperature Daqu(HTD)during the maturation process,and a standard system was established for comprehensive quality evaluation of HTD.There were obvious changes in the physicochemical properties,enzyme activities,and volatile flavor components at different storage periods,which affected the sensory evaluation of HTD to a certain extent.The results of high-throughput sequencing revealed significant microbial diversity,and showed that the bacterial community changed significantly more than did the fungal community.During the storage process,the dominant bacterial genera were Kroppenstedtia and Thermoascus.The correlation between dominant microorganisms and quality indicators highlighted their role in HTD quality.Lactococcus,Candida,Pichia,Paecilomyces,and protease activity played a crucial role in the formation of isovaleraldehyde.Acidic protease activity had the greatest impact on the microbial community.Moisture promoted isobutyric acid generation.Furthermore,the comprehensive quality evaluation standard system was established by the entropy weight method combined with multi-factor fuzzy mathematics.Consequently,this study provides innovative insights for comprehensive quality evaluation of HTD during storage and establishes a groundwork for scientific and rational storage of HTD and quality control of sauce-flavor Baijiu. 展开更多
关键词 microbial community high-temperature Daqu comprehensive quality evaluation entropy weight method maturation process
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