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Hybrid Predictive Control Based on High-Order Differential State Observers and Lyapunov Functions for Switched Nonlinear Systems 被引量:1
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作者 Baili Su Guoyuan Qi Barend J. van Wyk 《Applied Mathematics》 2013年第9期32-42,共11页
In this paper, a hybrid predictive controller is proposed for a class of uncertain switched nonlinear systems based on high-order differential state observers and Lyapunov functions. The main idea is to design an outp... In this paper, a hybrid predictive controller is proposed for a class of uncertain switched nonlinear systems based on high-order differential state observers and Lyapunov functions. The main idea is to design an output feedback bounded controller and a predictive controller for each subsystem using high-order differential state observers and Lyapunov functions, to derive a suitable switched law to stabilize the closed-loop subsystem, and to provide an explicitly characterized set of initial conditions. For the whole switched system, based on the high-order differentiator, a suitable switched law is designed to ensure the whole closed-loop’s stability. The simulation results for a chemical process show the validity of the controller proposed in this paper. 展开更多
关键词 SWITCHED System LYAPUNOV function high order DIFFERENTIATOR CONTROL Constraint Output Feedback Model Predictive CONTROL Stable Region
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Signal Classification Method Based on Support Vector Machine and High-Order Cumulants 被引量:1
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作者 Xin ZHOU Ying WU Bin YANG 《Wireless Sensor Network》 2010年第1期48-52,共5页
In this paper, a classification method based on Support Vector Machine (SVM) is given in the digital modulation signal classification. The second, fourth and sixth order cumulants of the received signals are used as c... In this paper, a classification method based on Support Vector Machine (SVM) is given in the digital modulation signal classification. The second, fourth and sixth order cumulants of the received signals are used as classification vectors firstly, then the kernel thought is used to map the feature vector to the high dimensional feature space and the optimum separating hyperplane is constructed in space to realize signal recognition. In order to build an effective and robust SVM classifier, the radial basis kernel function is selected, one against one or one against rest of multi-class classifier is designed, and method of parameter selection using cross- validation grid is adopted. Through the experiments it can be concluded that the classifier based on SVM has high performance and is more robust. 展开更多
关键词 high-order CUMULANTS Support VECTOR Machine KERNEL function SIGNAL Classification
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Shape recovery using high dynamic range images
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作者 郑作勇 Ma Lizhuang Li Zhong 《High Technology Letters》 EI CAS 2008年第4期384-389,共6页
An effective method for object shape recovery using HDRIs (high dynamic range images) is proposed. The radiance values of each point on the reference sphere and target object are firstly calculated, thus the set of ... An effective method for object shape recovery using HDRIs (high dynamic range images) is proposed. The radiance values of each point on the reference sphere and target object are firstly calculated, thus the set of candidate normals of each target point are found by comparing its radiance to that of each reference sphere point. In single-image shape recovery, a smoothness operation is applied to the target normals to obtain a stable and reasonable result; while in photometric stereo, radiance vectors of reference and target objects formed due to illuminations under different fight source directions are directly compared to get the most suitable target normals. Finally, the height values can be recovered from the resulting normal field. Because diffuse and specular reflection are handled in an unified framework with radiance, our approach eliminates the limitation presented in most recovery strategies, i.e., only Lambertian model can be used. The experiment results from the real and synthesized images show the performance of our approach. 展开更多
关键词 shape recovery high dynamic range image bidirectional reflectance distribution function (BRDF) reflectance map photometric stereo
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Lattice Boltzmann simulations of high-order statistics in isotropic turbulent flows
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作者 Guodong JIN Shizhao WANG +1 位作者 Yun WANG Guowei HE 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2018年第1期21-30,共10页
The lattice Boltzmann method (LBM) is coupled with the multiple-relaxation- time (MRT) collision model and the three-dimensional 19-discrete-velocity (D3Q19) model to resolve intermittent behaviors on small scal... The lattice Boltzmann method (LBM) is coupled with the multiple-relaxation- time (MRT) collision model and the three-dimensional 19-discrete-velocity (D3Q19) model to resolve intermittent behaviors on small scales in isotropic turbulent flows. The high- order scaling exponents of the velocity structure functions, the probability distribution functions of Lagrangian accelerations, and the local energy dissipation rates are investi- gated. The self-similarity of the space-time velocity structure functions is explored using the extended self-similarity (ESS) method, which was originally developed for velocity spatial structure functions. The scaling exponents of spatial structure functions at up to ten orders are consistent with the experimental measurements and theoretical results, implying that the LBM can accurately resolve the intermittent behaviors. This valida~ tion provides a solid basis for using the LBM to study more complex processes that are sensitive to small scales in turbulent flows, such as the relative dispersion of pollutants and mesoscale structures of preferential concentration of heavy particles suspended in turbulent flows. 展开更多
关键词 mesoscopic modelling lattice Boltzmann method (LBM) isotropic turbulent flow structure function intermittency high-order statistics SELF-SIMILARITY
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ICL V4c植入术后视觉质量的研究进展
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作者 祁云凯 汪洋合 +1 位作者 黄小娟 岳红云 《国际眼科杂志》 2026年第1期86-90,共5页
与其他屈光手术相比,有晶状体眼后房型人工晶状体(ICL)植入手术是目前屈光手术中最受欢迎的术式之一。ICL手术具有可逆性、高清视觉效果、不会改变角膜解剖结构等优点。目前临床最常用的是V4c型有中央孔型晶状体,围手术期不需要行虹膜... 与其他屈光手术相比,有晶状体眼后房型人工晶状体(ICL)植入手术是目前屈光手术中最受欢迎的术式之一。ICL手术具有可逆性、高清视觉效果、不会改变角膜解剖结构等优点。目前临床最常用的是V4c型有中央孔型晶状体,围手术期不需要行虹膜激光打孔术。且术后可获得良好的裸眼视力,然而,部分患者术后早期可能出现视觉干扰现象,如光晕、眩光等,尤其在暗光环境下可能影响视觉舒适度。文章针对ICL V4c术后高阶像差(HOA)、调制传递函数(MTF)、对比敏感度(CS)等视觉质量指标及影响因素进行综述,并探讨术后视觉质量可能存在的相对缺陷与相关机制。 展开更多
关键词 V4c型有晶状体眼后房型人工晶状体(ICL V4c) 视觉质量 高阶像差 调制传递函数 对比敏感度 影响因素
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基于GI-CV组合赋权的高填方边坡施工风险评估
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作者 王孝权 杜宜谋 +3 位作者 沈浩 彭逸风 聂宁 王晓明 《水力发电》 2026年第1期81-88,共8页
针对边坡施工过程的复杂性和不确定性,提出一种基于序关系分析法与变异系数法组合赋权的高填方边坡施工风险评估模型。首先,利用频度分析、文献调研及专家咨询等方法,从地质条件、施工环境、诱发条件、施工设计等4个方面建立风险评价指... 针对边坡施工过程的复杂性和不确定性,提出一种基于序关系分析法与变异系数法组合赋权的高填方边坡施工风险评估模型。首先,利用频度分析、文献调研及专家咨询等方法,从地质条件、施工环境、诱发条件、施工设计等4个方面建立风险评价指标体系;其次,分别采用序关系分析法和变异系数法确定评价指标的主客观权重,结合最小鉴别信息原理确定组合权重,对高填方边坡施工风险指标进行等级划分,并通过梯形隶属度函数构建评价矩阵;最后,运用该评估模型对目标层进行风险评估。宜昌市某垃圾处理场旁路堤边坡分析结果表明,该边坡施工风险处于Ⅲ级至Ⅳ级之间,更趋向于Ⅳ级风险,风险性较小,与实际结果相吻合,验证了其可靠性和准确性。 展开更多
关键词 高填方边坡 施工风险 风险评估 序关系分析法 变异系数法 组合赋权 梯形隶属度函数
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Self-adaptive strategy for one-dimensional finite element method based on EEP method with optimal super-convergence order 被引量:4
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作者 袁驷 邢沁妍 +1 位作者 王旭 叶康生 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2008年第5期591-602,共12页
Based on the newly-developed element energy projection (EEP) method with optimal super-convergence order for computation of super-convergent results, an improved self-adaptive strategy for one-dimensional finite ele... Based on the newly-developed element energy projection (EEP) method with optimal super-convergence order for computation of super-convergent results, an improved self-adaptive strategy for one-dimensional finite element method (FEM) is proposed. In the strategy, a posteriori errors are estimated by comparing FEM solutions to EEP super-convergent solutions with optimal order of super-convergence, meshes are refined by using the error-averaging method. Quasi-FEM solutions are used to replace the true FEM solutions in the adaptive process. This strategy has been found to be simple, clear, efficient and reliable. For most problems, only one adaptive step is needed to produce the required FEM solutions which pointwise satisfy the user specified error tolerances in the max-norm. Taking the elliptical ordinary differential equation of the second order as the model problem, this paper describes the fundamental idea, implementation strategy and computational algorithm and representative numerical examples are given to show the effectiveness and reliability of the proposed approach. 展开更多
关键词 finite element method (FEM) self-adaptive solution super-convergence optimal convergence order element energy projection condensed shape functions
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Parametric geometry representations for wind turbine blade shapes 被引量:3
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作者 Chen Jin Zhang Shiqiang +1 位作者 Hou Yi Eecen Peter 《High Technology Letters》 EI CAS 2011年第3期325-332,共8页
Based on the Joukowsky transformation and Theodorsen method, a novel parametric function (shape function) for wind turbine airfoils has been developed. The airfoil design space and shape control equations also have ... Based on the Joukowsky transformation and Theodorsen method, a novel parametric function (shape function) for wind turbine airfoils has been developed. The airfoil design space and shape control equations also have been studied. Results of the analysis of a typical wind turbine airfoil are shown to illustrate the evaluation process and to demonstrate the rate of convergence of the geometric characteristics. The coordinates and aerodynamic performance of approximate airfoils is rapidly close to the baseline airfoil corresponding to increasing orders of polynomial. Comparison of the RFOIL prediction and experimental results for the baseline airfoil generally show good agreement. A universal method for three-dimensional blade integration-" Shape function/Distribution function" is presented. By changing the parameters of shape function and distribution functions, a three dimensional blade can be designed and then transformed into the physical space in which the actual geometry is defined. Application of this method to a wind turbine blade is presented and the differences of power performance between the represented blade and original one are less than 0. 5%. This method is particularly simple and convenient for bodies of streamline forms. 展开更多
关键词 wind turbine AIRFOILS aerodynamic convergence shape function/ distribution function orders of polynomial (OP)
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Adaptive Turbo Equalization for Probabilistic Constellation Shaped Underwater Acoustic Communications
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作者 Xisheng Wu Yanbo Wu +1 位作者 Min Zhu Dong Li 《Journal of Beijing Institute of Technology》 EI CAS 2021年第3期280-289,共10页
To increase the spectral efficiency of the underwater acoustic(UWA)communication system,the high order quadrature amplitude modulations(QAM)are deployed.Recently,the prob-abilistic constellation shaping(PCS)has been a... To increase the spectral efficiency of the underwater acoustic(UWA)communication system,the high order quadrature amplitude modulations(QAM)are deployed.Recently,the prob-abilistic constellation shaping(PCS)has been a novel technology to improve the spectral efficiency.The PCS with high-order QAM is introduced into the UWA communication system.A turbo equal-ization scheme with PCS was proposed to cancel the severe inter-symbol interference(ISI).The non-zero a priori information is available for the equalizer and decoder before turbo iteration.A pri-ori hard decision approach is proposed to improve the detection performance and the equalizer con-vergence speed.At the initial turbo iteration,the relation between the a priori information and the probability of the amplitude of 16QAM symbols in one dimension is given.The simulation results verified the efficiency of the proposed method,and compared to the uniform distribution(UD),the PCS-16QAM had a significant improvement of the bit error rate(BER)performance with PCS-ad-aptive turbo equalization(PCS-ATEQ).The UWA communication experiments further verified the performance superiority of the proposed method. 展开更多
关键词 high order quadrature amplitude modulation probabilistic constellation shaping UWA multipath channel turbo equalization
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Analysis on a Set of 12-parameter Rectangular Plate Element with High Accuracy
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作者 SHI Dong-yang WANG Cai-xia 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2006年第2期159-165,共7页
It is proved that the so-called a set of 12-parameter rectangular plate elements with high accuracy constructed by using double set parameter method and undetermined method are, in fact, the same one; the real shape f... It is proved that the so-called a set of 12-parameter rectangular plate elements with high accuracy constructed by using double set parameter method and undetermined method are, in fact, the same one; the real shape function space is nothing but the Adini's element's, which has nothing to do with the other high degree terms and leads to a new method for constructing the high accuracy plate elements. This fact has never been seen for other conventional and unconventional, conforming and nonconforming rectangular plate elements, such as Quasi-conforming elements, generalized conforming elements and other double set parameter finite elements. Moreover, such kind of rectangular elements can not be constructed by the conventional finite element methods. 展开更多
关键词 double set parameter element high accuracy Adini's shape function space geometric symmetry new method
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Estimating Functional Brain Network with Low-Rank Structure via Matrix Factorization for MCI/ASD Identification
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作者 Yue Du Limei Zhang 《Journal of Applied Mathematics and Physics》 2021年第8期1946-1963,共18页
Functional brain networks (FBNs) provide a potential way for understanding the brain organizational patterns and diagnosing neurological diseases. Due to its importance, many FBN construction methods have been propose... Functional brain networks (FBNs) provide a potential way for understanding the brain organizational patterns and diagnosing neurological diseases. Due to its importance, many FBN construction methods have been proposed currently, including the low-order Pearson’s correlation (PC) and sparse representation (SR), as well as the high-order functional connection (HoFC). However, most existing methods usually ignore the information of topological structures of FBN, such as low-rank structure which can reduce the noise and improve modularity to enhance the stability of networks. In this paper, we propose a novel method for improving the estimated FBNs utilizing matrix factorization (MF). More specifically, we firstly construct FBNs based on three traditional methods, including PC, SR, and HoFC. Then, we reduce the rank of these FBNs via MF model for estimating FBN with low-rank structure. Finally, to evaluate the effectiveness of the proposed method, experiments have been conducted to identify the subjects with mild cognitive impairment (MCI) and autism spectrum disorder (ASD) from norm controls (NCs) using the estimated FBNs. The results on Alzheimer’s Disease Neuroimaging Initiative (ADNI) dataset and Autism Brain Imaging Data Exchange (ABIDE) dataset demonstrate that the classification performances achieved by our proposed method are better than the selected baseline methods. 展开更多
关键词 functional Brain Network Matrix Factorization Pearson’s Correlation Sparse Representation high-order functional Connection Mild Cognitive Impairment Autism Spectrum Disorder
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Introducing the nth-Order Features Adjoint Sensitivity Analysis Methodology for Nonlinear Systems (nth-FASAM-N): II. Illustrative Example
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作者 Dan Gabriel Cacuci 《American Journal of Computational Mathematics》 2024年第1期43-95,共54页
This work highlights the unparalleled efficiency of the “n<sup>th</sup>-Order Function/ Feature Adjoint Sensitivity Analysis Methodology for Nonlinear Systems” (n<sup>th</sup>-FASAM-N) by con... This work highlights the unparalleled efficiency of the “n<sup>th</sup>-Order Function/ Feature Adjoint Sensitivity Analysis Methodology for Nonlinear Systems” (n<sup>th</sup>-FASAM-N) by considering the well-known Nordheim-Fuchs reactor dynamics/safety model. This model describes a short-time self-limiting power excursion in a nuclear reactor system having a negative temperature coefficient in which a large amount of reactivity is suddenly inserted, either intentionally or by accident. This nonlinear paradigm model is sufficiently complex to model realistically self-limiting power excursions for short times yet admits closed-form exact expressions for the time-dependent neutron flux, temperature distribution and energy released during the transient power burst. The n<sup>th</sup>-FASAM-N methodology is compared to the extant “n<sup>th</sup>-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Nonlinear Systems” (n<sup>th</sup>-CASAM-N) showing that: (i) the 1<sup>st</sup>-FASAM-N and the 1<sup>st</sup>-CASAM-N methodologies are equally efficient for computing the first-order sensitivities;each methodology requires a single large-scale computation for solving the “First-Level Adjoint Sensitivity System” (1<sup>st</sup>-LASS);(ii) the 2<sup>nd</sup>-FASAM-N methodology is considerably more efficient than the 2<sup>nd</sup>-CASAM-N methodology for computing the second-order sensitivities since the number of feature-functions is much smaller than the number of primary parameters;specifically for the Nordheim-Fuchs model, the 2<sup>nd</sup>-FASAM-N methodology requires 2 large-scale computations to obtain all of the exact expressions of the 28 distinct second-order response sensitivities with respect to the model parameters while the 2<sup>nd</sup>-CASAM-N methodology requires 7 large-scale computations for obtaining these 28 second-order sensitivities;(iii) the 3<sup>rd</sup>-FASAM-N methodology is even more efficient than the 3<sup>rd</sup>-CASAM-N methodology: only 2 large-scale computations are needed to obtain the exact expressions of the 84 distinct third-order response sensitivities with respect to the Nordheim-Fuchs model’s parameters when applying the 3<sup>rd</sup>-FASAM-N methodology, while the application of the 3<sup>rd</sup>-CASAM-N methodology requires at least 22 large-scale computations for computing the same 84 distinct third-order sensitivities. Together, the n<sup>th</sup>-FASAM-N and the n<sup>th</sup>-CASAM-N methodologies are the most practical methodologies for computing response sensitivities of any order comprehensively and accurately, overcoming the curse of dimensionality in sensitivity analysis. 展开更多
关键词 Nordheim-Fuchs Reactor Safety Model Feature functions of Model Parameters high-order Response Sensitivities to Parameters Adjoint Sensitivity Systems
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一种新型整体与局部高阶层合梁模型
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作者 司俊岭 杨胜奇 张颖 《航空学报》 北大核心 2025年第18期113-122,共10页
为了准确计算复合材料层合梁在静载条件下位移、应力,提出了一种新型的层合梁模型。该模型的初始位移场由整体、局部2部分组成,通过局部位移变量、形函数来描述每一层的位移趋势,并根据层间位移、剪切应力连续条件,剪切应力在层合梁上... 为了准确计算复合材料层合梁在静载条件下位移、应力,提出了一种新型的层合梁模型。该模型的初始位移场由整体、局部2部分组成,通过局部位移变量、形函数来描述每一层的位移趋势,并根据层间位移、剪切应力连续条件,剪切应力在层合梁上下表面自由条件,可获得由6个位移变量表示的该模型最终位移场。通过经典案例数值验证表明:该模型能够准确计算静载条件下层合梁的面内位移、应力,特别是可通过本构方程计算出准确的横向剪切应力,而且无需对该剪切应力进行任何处理,方便于工程应用。 展开更多
关键词 层合梁 剪切应力连续条件 整体与局部高阶模型 本构方程 形函数
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融合双阶段对齐协同脑图谱与ViT嵌入提炼的MCI高阶连接识别模型
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作者 吴海锋 翁建明 曾玉 《控制与决策》 北大核心 2025年第12期3713-3724,共12页
针对功能磁共振成像(fMRI)中高阶功能连接建模与分类任务中维度膨胀、归一化缺失与跨阶协同弱化的挑战,提出一种微分几何驱动的结构分层化轻度认知障碍(MCI)识别模型.该模型融合双阶段对齐协同脑图谱(DAS-Connectome)与结构嵌入提炼层(S... 针对功能磁共振成像(fMRI)中高阶功能连接建模与分类任务中维度膨胀、归一化缺失与跨阶协同弱化的挑战,提出一种微分几何驱动的结构分层化轻度认知障碍(MCI)识别模型.该模型融合双阶段对齐协同脑图谱(DAS-Connectome)与结构嵌入提炼层(SERL).DAS-Connectome引入两级结构建模机制:一是通过流形对数映射实现归一化的几何推广,构建稳定的高阶神经依赖结构;二是执行结构映射增强,将高阶结构与原始低阶张量缩并耦合生成DAS-Connectome,从而提升结构表达的一致性与判别密度.SERL通过变分信息瓶颈的嵌入机制和预训练ViT(Vision Transformer)对DAS-Connectome进行低维表征提炼,最终将嵌入特征输入轻量级分类器完成MCI判别.实验表明,所提出框架在阿尔茨海默病神经影像学计划库的数据集上相较传统方法分类准确率最高提升16%,在小样本条件下展现出良好的稳定性与泛化能力. 展开更多
关键词 轻度认知障碍 高阶功能连接 特征降维 功能磁共振成像 VIT
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基于补偿函数观测器的高速列车速度运行曲线跟踪控制研究
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作者 侯涛 周文琪 牛宏侠 《北京交通大学学报》 北大核心 2025年第3期100-110,共11页
针对观测器估计精度偏低及高速列车系统的强耦合、受外界扰动、参数时变等问题,提出一种基于补偿函数观测器的分数阶非奇异快速终端滑模控制算法(Compensating Function Observer-Fractional Order Non-singular Fast Terminal Sliding ... 针对观测器估计精度偏低及高速列车系统的强耦合、受外界扰动、参数时变等问题,提出一种基于补偿函数观测器的分数阶非奇异快速终端滑模控制算法(Compensating Function Observer-Fractional Order Non-singular Fast Terminal Sliding Mode Control,CFO-FONFTSMC),以提高高速列车速度控制的鲁棒性和控制精度.首先,建立高速列车纵向多质点动力学模型,设计高精度的补偿函数观测器对系统的总扰动进行实时估计并补偿;然后,设计一种带状态负指数控制律的分数阶非奇异快速终端滑模控制算法,用于对列车的运行曲线进行跟踪控制,并通过李雅普诺夫稳定性理论证明系统在有限时间内的收敛性;最后,以CRH3型高速列车参数和合肥站-蚌埠南站的实际线路为实例,分别跟踪理想运行曲线和节能优化运行曲线进行实验验证.仿真结果表明:所提算法跟踪理想运行速度曲线的平均误差为0.01377 km/h,跟踪带干扰的节能优化运行速度曲线的平均误差为0.0364 km/h,相较于基于扩张状态观测器的滑模和非奇异快速终端滑模控制方法,所提方法具有最小的跟踪误差和更高的跟踪精度,验证了其有效性和可行性,可为列车速度跟踪控制领域的研究提供参考. 展开更多
关键词 高速列车 多质点模型 补偿函数观测器 分数阶非奇异快速终端滑模 跟踪控制
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Euler-Bernoulli梁模态公式的修正
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作者 毛崎波 《力学与实践》 2025年第1期233-237,共5页
在机械振动教科书给出Euler-Bernoulli梁的模态表达式中,除了简支梁,一般只能计算前12阶模态。主要原因是由于模态表达式中存在双曲正弦和双曲余弦函数,双曲函数随模态阶数呈指数增加,由此引起的舍入误差导致数值计算时模态形状失真。... 在机械振动教科书给出Euler-Bernoulli梁的模态表达式中,除了简支梁,一般只能计算前12阶模态。主要原因是由于模态表达式中存在双曲正弦和双曲余弦函数,双曲函数随模态阶数呈指数增加,由此引起的舍入误差导致数值计算时模态形状失真。本文提出对传统的模态表达式进行修正,从而可以精确计算至少前200阶模态。 展开更多
关键词 EULER-BERNOULLI梁 高阶模态 舍入误差 边界条件 模态形状
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基于薄板样条径向基函数的功能梯度板静力分析 被引量:1
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作者 宋薇薇 项松 赵锐 《计算力学学报》 北大核心 2025年第3期504-512,共9页
采用高阶剪切变形理论来对功能梯度板进行建模。控制微分方程采用基于薄板样条径向基函数的无网格方法离散。本文的计算结果与已有文献的计算结果进行了比较,两者具有较好的一致性,同时说明薄板样条径向基函数法在功能梯度板分析中的准... 采用高阶剪切变形理论来对功能梯度板进行建模。控制微分方程采用基于薄板样条径向基函数的无网格方法离散。本文的计算结果与已有文献的计算结果进行了比较,两者具有较好的一致性,同时说明薄板样条径向基函数法在功能梯度板分析中的准确性和有效性。本文提出的考虑层边界离散性的新层合板理论比其他具有五个全局变量的层合板理论具有更精确的位移和应力。数值算例表明,采用薄板样条径向基函数对功能梯度板进行静力分析具有较高的精度和良好的收敛性。 展开更多
关键词 薄板样条 径向基函数 功能梯度板 静力分析 高阶理论 无网格
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基于高阶空间特征提取的无人机航拍小目标检测算法 被引量:4
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作者 张轩宇 周思航 +1 位作者 黄健 王冬 《计算机工程与应用》 北大核心 2025年第12期210-221,共12页
针对视觉算法在检测航拍图像中密集小目标时容易受到目标重叠、遮挡等情况干扰的现象,提出了一种基于高阶空间特征(目标形状、位置等信息的高级表示)提取的Transformer检测头HSF-TPH(Transformer prediction head with high-order spati... 针对视觉算法在检测航拍图像中密集小目标时容易受到目标重叠、遮挡等情况干扰的现象,提出了一种基于高阶空间特征(目标形状、位置等信息的高级表示)提取的Transformer检测头HSF-TPH(Transformer prediction head with high-order spatial feature extraction)。所提检测头中将自注意力机制中的二阶交互扩展到三阶以生成高阶空间特征,提取更有区分度的空间关系,突出每一个小目标在空间上的语义信息。同时,为了缓解骨干网络过度下采样对小目标信息的压缩,设计了一种高分辨率特征图生成机制,增加头部网络的输入特征分辨率,以提升HSFTPH检测密集小目标的效果。设计了新的损失函数USIoU,降低算法位置偏差敏感性。在VisDrone2019数据集上开展实验证明,所提算法在面积最小、密度最高的人类目标的检测任务中实现了mAP50指标10个百分点以上的性能提升。 展开更多
关键词 无人机航拍 小目标检测 高阶空间特征提取 注意力机制 损失函数
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基于高阶高斯函数的风力机三维尾流速度模型的研究与验证
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作者 魏宏 赵振宙 +4 位作者 刘一格 魏赏赏 刘惠文 刘岩 罗乔 《中国电机工程学报》 北大核心 2025年第13期5099-5105,I0013,共8页
在自然条件下,风速在近尾流区尾流中心近似为顶帽形分布,在远尾流区的分布近似为高斯形。为了提高对尾流分布的预测精度,该文采用高阶高斯函数修正尾流速度分布,建立三维高阶高斯卷吸尾流模型。通过外场试验和风洞试验进行验证,结果表明... 在自然条件下,风速在近尾流区尾流中心近似为顶帽形分布,在远尾流区的分布近似为高斯形。为了提高对尾流分布的预测精度,该文采用高阶高斯函数修正尾流速度分布,建立三维高阶高斯卷吸尾流模型。通过外场试验和风洞试验进行验证,结果表明,该模型能有效描述尾流的径向和垂向空间分布,在不同的风速下,径向相对误差最大为7.29%,最小为1.4%;垂向相对误差最大为7.64%,最小为3.87%,能够较好地预测整个尾流区域的三维分布。 展开更多
关键词 风力机 尾流模型 尾流速度 高阶高斯函数
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基于“6E”教学模式培养学生高阶思维能力教学研究——以三角函数应用为例 被引量:1
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作者 王悦燃 吴华 《科教文汇》 2025年第14期176-179,共4页
该研究以“6E”教学模式为主线,以“数学文化——云游大连”为引线,融合GeoGebra软件和AI技术理论,以三角函数应用一节为例,构建基于“6E”教学模式的三角函数应用教学模型,引导学生在真实情境中主动探索,合作构建三角函数模型,解决实... 该研究以“6E”教学模式为主线,以“数学文化——云游大连”为引线,融合GeoGebra软件和AI技术理论,以三角函数应用一节为例,构建基于“6E”教学模式的三角函数应用教学模型,引导学生在真实情境中主动探索,合作构建三角函数模型,解决实际问题并调整验证,落实数学高阶思维能力的培养。 展开更多
关键词 “6E”教学模式 三角函数 应用 数学高阶思维能力
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