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Diagonally loaded SMI algorithm based on inverse matrix recursion 被引量:7
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作者 Cao Jianshu Wang Xuegang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2007年第1期160-163,共4页
The derivation of a diagonally loaded sample-matrix inversion (LSMI) algorithm on the busis of inverse matrix recursion (i.e.LSMI-IMR algorithm) is conducted by reconstructing the recursive formulation of covarian... The derivation of a diagonally loaded sample-matrix inversion (LSMI) algorithm on the busis of inverse matrix recursion (i.e.LSMI-IMR algorithm) is conducted by reconstructing the recursive formulation of covariance matrix. For the new algorithm, diagonal loading is by setting initial inverse matrix without any addition of computation. In addition, a corresponding improved recursive algorithm is presented, which is low computational complexity. This eliminates the complex multiplications of the scalar coefficient and updating matrix, resulting in significant computational savings. Simulations show that the LSMI-IMR algorithm is valid. 展开更多
关键词 Robust adaptive beamforming Space-time adaptive processing (STAP) Diagonal loading Inverse matrix recursion
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Transformation Matrix for Combined Loads Applied to Thin-Walled Structures
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作者 Abdelraouf M. Sami Alsheikh David William Alan Rees 《World Journal of Mechanics》 2022年第6期65-78,共14页
This paper transforms combined loads, applied at an arbitrary point of a thin-walled open section beam, to the shear centre of the cross-section of the beam. Therein, a generalized transformation matrix for loads with... This paper transforms combined loads, applied at an arbitrary point of a thin-walled open section beam, to the shear centre of the cross-section of the beam. Therein, a generalized transformation matrix for loads with respect to the shear centre is derived, this accounting for the bimoments that develop due to the way the combined loads are applied. This and the authors’ earlier paper (World Journal of Mechanics 2021, 11, 205-236) provide a full solution to the theory of thin-walled, open-section structures bearing combined loading. The earlier work identified arbitrary loading with the section’s area properties that are necessary to axial and shear stress calculations within the structure’s thin walls. In the previous paper attention is paid to the relevant axes of loading and to the transformations of loading required between axes for stress calculations arising from tension/compression, bending, torsion and shear. The derivation of the general transformation matrix applies to all types of loadings including, axial tensile and compression forces, transverse shear, longitudinal bending. One application, representing all these load cases, is given of a simple channel cantilever with an eccentrically located end load. 展开更多
关键词 Thin-Walled Structure Open Sections Transformation matrix load Transformation Combined load Transformation Shear Centre WARPING BIMOMENT Sectorial Area Properties
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考虑负荷功率特性与时序相关性的非侵入式工业负荷监测
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作者 张逸 陈锦涛 +2 位作者 李传栋 张良羽 孙守铨 《中国电机工程学报》 北大核心 2026年第4期1337-1350,I0004,共15页
实施工业用户非侵入式负荷监测有助于电力需求侧管理与能源利用效率提高。针对工业场景下样本数据稀缺、现有方法未考虑工业生产流程约束等问题,提出一种考虑负荷功率特性与时序相关性的非侵入式工业负荷分解方法。首先,根据负荷运行功... 实施工业用户非侵入式负荷监测有助于电力需求侧管理与能源利用效率提高。针对工业场景下样本数据稀缺、现有方法未考虑工业生产流程约束等问题,提出一种考虑负荷功率特性与时序相关性的非侵入式工业负荷分解方法。首先,根据负荷运行功率的时变特性,并考虑实际工业信息的可获取性,将负荷分为开关型负荷、多状态型负荷与连续变化型负荷;其次,由于前2类负荷具有稳定的功率状态,同时考虑有功及无功功率特性,采用整数规划方法建立负荷功率模型;再次,提取企业实际生产周期,且由于连续变化型负荷的功率具有连续的功率消耗范围,采用矩阵分解方法建立负荷功率模型;最后,考虑基向量分组效应与生产流程约束下的负荷时序相关性约束,联合以上2个模型并求解,实现负荷分解。利用公开数据集及实测私有数据集对算法进行验证,结果表明所提方法较已有方法具有更高的精度和更好的工程实用性。 展开更多
关键词 非侵入式负荷监测 工业负荷 负荷功率特性 时序相关性 整数规划 矩阵分解
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基于Odds-Matrix算法的中长期电量组合预测方法及其应用 被引量:5
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作者 欧阳森 冯天瑞 +1 位作者 李翔 王克英 《华南理工大学学报(自然科学版)》 EI CAS CSCD 北大核心 2014年第8期39-44,共6页
中长期电量的组合预测存在权重选择困难,适应性、抗干扰性较差的问题.文中结合目前广泛应用的组合预测技术,设计了以Odds-Matrix算法为核心的Odds-Matrix组合预测方法.该组合预测方法利用Odds-Matrix算法对单一预测模型的有效性进行定... 中长期电量的组合预测存在权重选择困难,适应性、抗干扰性较差的问题.文中结合目前广泛应用的组合预测技术,设计了以Odds-Matrix算法为核心的Odds-Matrix组合预测方法.该组合预测方法利用Odds-Matrix算法对单一预测模型的有效性进行定量分析,用权重概率分布函数来描述各个方法的优劣,然后根据权重进行单一预测模型的筛选和组合.利用实际数据对所设计的Odds-Matrix组合预测方法进行测试,结果表明,文中预测方法的精确度较其他常用组合预测法较高,说明该方法具有较强的适应性与抗干扰性. 展开更多
关键词 电量预测 Odds-matrix算法 组合预测 模型筛选
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三维网络超薄壁分级多孔炭的构筑及载硫特性
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作者 孙涛 李嘉琦 +1 位作者 张夏兰 林起浪 《功能材料》 北大核心 2026年第1期28-34,共7页
开发可再生能源转换和存储技术是解决目前能源危机和环境污染问题的有效途径。锂硫电池因具有超高理论能量密度而被认为是一种高效的储能装置,但其硫正极在实际应用中仍面临电导率低,体积膨胀和穿梭效应等问题。为此,开发具有大比表面... 开发可再生能源转换和存储技术是解决目前能源危机和环境污染问题的有效途径。锂硫电池因具有超高理论能量密度而被认为是一种高效的储能装置,但其硫正极在实际应用中仍面临电导率低,体积膨胀和穿梭效应等问题。为此,开发具有大比表面积、高电导率和高硫负载量的基体材料具有重要意义。通过直接热解石油渣油/异丙醇铝复合物制备三维网络超薄壁分级多孔炭作为载硫基体,并采用溶剂混合-热熔法制备锂硫电池正极材料。该方法不仅显著降低了现有多孔炭载硫基体材料的制备成本,同时提高了硫负载量和活性物质利用率,最终获得了电化学性能优异的锂硫电池。 展开更多
关键词 石油渣油 分级多孔炭 三维网络 载硫基体 锂硫电池
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基于EPE-3021高分子乳化剂的混装一体化油相配方设计及性能
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作者 李俊杰 董云 +4 位作者 赵华平 刘大维 周宇 陈世雄 刘承美 《爆破器材》 北大核心 2026年第1期25-31,共7页
为了研究基于EPE-3021高分子乳化剂的混装一体化油相配方乳化炸药性能,采用不同型号的基础油和SO-1合成油组合,制备了8种混装一体化油相配方,通过黏度测试、粒径分布分析和常温储存实验,系统评价了各油相配方制备的乳胶基质的性能。结... 为了研究基于EPE-3021高分子乳化剂的混装一体化油相配方乳化炸药性能,采用不同型号的基础油和SO-1合成油组合,制备了8种混装一体化油相配方,通过黏度测试、粒径分布分析和常温储存实验,系统评价了各油相配方制备的乳胶基质的性能。结果表明:以BO-2和BO-1基础油为主要组分的配方制备的乳胶基质的黏度较柴、机油配方明显增大,SO-1合成油的添加可有效地降低乳胶基质的黏度,但会在一定程度上影响储存稳定性;所有配方的乳胶基质的析晶面积均小于10%,具有良好的储存稳定性。综合考虑乳胶基质的稳定性和黏度性能,推荐E_(3)、E_(7)、E_(8)配方作为乳化炸药混装一体化油相的优选方案。 展开更多
关键词 混装 一体化 油相 乳胶基质 黏温特性 储存稳定性
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Optimal Load Balancing Leveling Method for Multi-leg Flexible Platforms 被引量:7
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作者 GANG Xianyue CHAI Shan 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2013年第5期900-908,共9页
The working platforms supported with multiple extensible legs must be leveled before they come into operation.Although the supporting stiffness and reliability of the platform are improved with the increasing number o... The working platforms supported with multiple extensible legs must be leveled before they come into operation.Although the supporting stiffness and reliability of the platform are improved with the increasing number of the supporting legs,the increased overdetermination of the multi-leg platform systems leads to leveling coupling problem among legs and virtual leg problem in which some of the supporting legs bear zero or quasi zero loads.These problems make it quite complex and time consuming to level such a multi-leg platform.Based on rigid body kinematics,an approximate equation is formulated to rapidly calculate the leg extension for leveling a rigid platform,then a proportional speed control strategy is proposed to reduce the unexpected platform distortion and leveling coupling between supporting legs.Taking both the load coupling between supporting legs and the elastic flexibility of the working platform into consideration,an optimal balancing legs’ loads(OBLL) model is firstly put forward to deal with the traditional virtual leg problem.By taking advantage of the concept of supporting stiffness matrix,a coupling extension method(CEM) is developed to solve this OBLL problem for multi-leg flexible platform.At the end,with the concept of supporting stiffness matrix and static transmissibility matrix,an optimal load balancing leveling method is proposed to achieve geometric leveling and legs’ loads balancing simultaneously.Three numerical examples are given out to illustrate the performance of proposed methods.This paper proposes a method which can effectively quantify all of the legs’ extension at the same time,achieve geometric leveling and legs’ loads balancing simultaneously.By using the proposed methods,the stability,precision and efficiency of auto-leveling control process can be improved. 展开更多
关键词 multi-leg platform overdetermined problem optimal balancing legs' loads supporting stiffness matrix static transmissibility matrix
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Frequency-dependent random fatigue of panel-type structures made of ceramic matrix composites 被引量:3
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作者 Yadong Zhou Xiaochen Hang +2 位作者 Shaoqing Wu Qingguo Fei Natasa Trisovic 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2017年第2期165-173,共9页
The panel-type structures used in aerospace engineering can be subjected to severe highfrequency acoustic loadings in service. This paper evaluates the frequency-dependent random fatigue of panel-type structures made ... The panel-type structures used in aerospace engineering can be subjected to severe highfrequency acoustic loadings in service. This paper evaluates the frequency-dependent random fatigue of panel-type structures made of ceramic matrix composites(CMCs) under acoustic loadings. Firstly, the high-frequency random responses from the broadband random excitation will result in more stress cycles in a deinite period of time. The probability density distributions of stress amplitudes will be different in different frequency bandwidths, though the peak stress estimations are identical. Secondly, the fatigue properties of CMCs can be highly frequency-dependent. The fatigue evaluation method for the random vibration case is adopted to evaluate the fatigue damage of a representative stiffened panel structure. The frequency effect through S-N curves on random fatigue damage is numerically veriied. Finally, a parameter is demonstrated to characterize the mean vibration frequency of a random process, and hence this parameter can further be considered as a reasonable loading frequency in the fatigue tests of CMCs to obtain more reliable S-N curves.Therefore, the inluence of vibration frequency can be incorporated in the random fatigue model from the two perspectives. 展开更多
关键词 Random fatigue Frequency effect Ceramic matrix composites(CMCs) S-N curve loading frequency
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Topology Optimization of Stiffener Layout Design for Box Type Load-Bearing Component under Thermo-Mechanical Coupling
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作者 Zhaohui Yang Tianhua Xiong +1 位作者 Fei Du Baotong Li 《Computer Modeling in Engineering & Sciences》 SCIE EI 2023年第5期1701-1718,共18页
The structure optimization design under thermo-mechanical coupling is a difficult problem in the topology optimization field.An adaptive growth algorithm has become a more effective approach for structural topology op... The structure optimization design under thermo-mechanical coupling is a difficult problem in the topology optimization field.An adaptive growth algorithm has become a more effective approach for structural topology optimization.This paper proposed a topology optimization method by an adaptive growth algorithm for the stiffener layout design of box type load-bearing components under thermo-mechanical coupling.Based on the stiffness diffusion theory,both the load stiffness matrix and the heat conduction stiffness matrix of the stiffener are spread at the same time to make sure the stiffener grows freely and obtain an optimal stiffener layout design.Meanwhile,the objectives of optimization are the minimization of strain energy and thermal compliance of the whole structure,and thermo-mechanical coupling is considered.Numerical studies for square shells clearly show the effectiveness of the proposed method for stiffener layout optimization under thermo-mechanical coupling.Finally,the method is applied to optimize the stiffener layout of box type load-bearing component of themachining center.The optimization results show that both the structural deformation and temperature of the load-bearing component with the growth stiffener layout,which are optimized by the adaptive growth algorithm,are less than the stiffener layout of shape‘#’stiffener layout.It provides a new solution approach for stiffener layout optimization design of box type load-bearing components under thermo-mechanical coupling. 展开更多
关键词 THERMO-MECHANICAL topology optimization adaptive growth algorithm load stiffness matrix heat conduction stiffness matrix
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Resilient Fixed-Order Distributed Dynamic Output Feedback Load Frequency Control Design for Interconnected Multi-Area Power Systems 被引量:5
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作者 Ali Azarbahram Amir Amini Mahdi Sojoodi 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2019年第5期1139-1151,共13页
The paper proposes a novel H∞ load frequency control(LFC) design method for multi-area power systems based on an integral-based non-fragile distributed fixed-order dynamic output feedback(DOF) tracking-regulator cont... The paper proposes a novel H∞ load frequency control(LFC) design method for multi-area power systems based on an integral-based non-fragile distributed fixed-order dynamic output feedback(DOF) tracking-regulator control scheme. To this end, we consider a nonlinear interconnected model for multiarea power systems which also include uncertainties and timevarying communication delays. The design procedure is formulated using semi-definite programming and linear matrix inequality(LMI) method. The solution of the proposed LMIs returns necessary parameters for the tracking controllers such that the impact of model uncertainty and load disturbances are minimized. The proposed controllers are capable of receiving all or part of subsystems information, whereas the outputs of each controller are local. These controllers are designed such that the resilient stability of the overall closed-loop system is guaranteed. Simulation results are provided to verify the effectiveness of the proposed scheme. Simulation results quantify that the distributed(and decentralized) controlled system behaves well in presence of large parameter perturbations and random disturbances on the power system. 展开更多
关键词 Dynamic OUTPUT FEEDBACK CONTROL interconnected multi-area POWER systems load frequency CONTROL linear matrix INEQUALITIES POWER system CONTROL
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INTERFACIAL DEBONDING OF FRC UNDER CYCLIC LOADING
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作者 Q.J.Zhu Y.H.Chen J.Chen 《Acta Metallurgica Sinica(English Letters)》 SCIE EI CAS CSCD 2004年第3期327-330,共4页
With the increasingly use of FRC (fiber-reinforced composite) in urban lifelines, me-chanical properties investigation is very important for disaster resistance, especiallythe investigation of fatigue properties. Base... With the increasingly use of FRC (fiber-reinforced composite) in urban lifelines, me-chanical properties investigation is very important for disaster resistance, especiallythe investigation of fatigue properties. Based on the shear-lag model, an usual com-posite model under cyclic loading is established. According to the Paris formula, therelationship between interfacial fatigue parameters and the number of cycles is ob-tained under the cyclic loading. Interfocial fatigue properties of this model and thegrowth of the interfacial fatigue crack are analyzed. And the Poisson ratio is consid-ered also. 展开更多
关键词 interfacial debonding FIBER matrix cyclic loading crack growth
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Fatigue life research and experimental verification of superalloy thin-walled structures subjected to thermal-acoustic loads 被引量:4
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作者 Jian WANG Fengtong ZHAO +1 位作者 Yundong SHA Song GU 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2020年第2期598-608,共11页
Rapid alternating stress is formed in structure subjected to harsh thermal-acoustic loads,which will affect fatigue performance and reduce fatigue life seriously.First,fatigue experiment of superalloy thin-walled stru... Rapid alternating stress is formed in structure subjected to harsh thermal-acoustic loads,which will affect fatigue performance and reduce fatigue life seriously.First,fatigue experiment of superalloy thin-walled structure was carried out to obtain fatigue damage location and failure time of the experiment specimen,and S-iN curves of superalloy thin-walled structure at 723 K were fitted.Then,dynamic response simulation of superalloy thin-walled structure under the same load as experiment was implemented,and fatigue life was estimated based on the fatigue life prediction model which mainly included:improved rain-flow counting method,Morrow average stress model and Miner linear cumulative damage theory.Further,comparisons between simulation solutions and experimental results achieved a consistency,which verified the validity of the Fatigue Life Prediction Model(FLPM).Moreover,taking a rectangle plate as the analysis object,the distributions of Fain-low circulation blocks and damage levels of the structure were discussed respectively.Finally,current research indicates that in pre-buckling the structure is in softened area and fatigue life decreases with the increase of temperature;in post-buckling the structure is in hardened area and fatigue life increases with the increase of temperature within a certain range. 展开更多
关键词 Experimental verification Fatigue life Improved rain-flow counting method Rain-flow cycle matrix Rain-flow damage matrix Thermal-acoustic load THIN-WALLED structures
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Static response of a layered magneto-electro-elastic half-space structure under circular surface loading
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作者 Jiangyi Chen Junhong Guo 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2017年第2期145-153,共9页
A cylindrical system of vector functions, the stiffness matrix method and the corresponding recursive algorithm are proposed to investigate the static response of transversely isotropic,layered magneto-electro-elastic... A cylindrical system of vector functions, the stiffness matrix method and the corresponding recursive algorithm are proposed to investigate the static response of transversely isotropic,layered magneto-electro-elastic(MEE) structures over a homogeneous half-space substrate subjected to circular surface loading. In terms of the system of vector functions, we expand the extended displacements and stresses, and deduce two sets of ordinary differential equations, which are related to the expansion coeficients. The solution to one of the two sets of these ordinary differential equations can be evaluated by using the stiffness matrix method and the corresponding recursive algorithm. These expansion coeficients are then integrated by adaptive Gaussian quadrature to obtain the displacements and stresses in the physical domain. Two types of surface loads, mechanical pressure and electric loading,are considered in the numerical examples. The calculated results show that the proposed technique is stable and effective in analyzing the layered half-space MEE structures under surface loading. 展开更多
关键词 Magneto-electro-elastic material Layered and half-space structure Stiffness matrix method System of vector functions Surface loading
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Nonlinear FEA of Pile Group Subjected to Lateral Load
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作者 V. A. Sawant K. B. Ladhane 《Open Journal of Civil Engineering》 2016年第1期19-30,共12页
A finite element method based program has been developed to perform the static nonlinear analysis of pile group with six different configurations subjected to lateral loads. The pile has been assumed to remain elastic... A finite element method based program has been developed to perform the static nonlinear analysis of pile group with six different configurations subjected to lateral loads. The pile has been assumed to remain elastic all the time whereas the soil has been assumed to undergo plastic yielding following von Mises yield criterion. The formulation of elasto-plastic analysis following von Mises yield criterion has been explained. The effect of Drucker-Prager and Mohr Coulomb yield criteria on the response of pile group is also investigated. The whole analysis is based on incremental load application. The external load is applied in small increments and the stresses are initially computed assuming elastic constitutive relation. Significant effect of soil nonlinearity is observed at smaller pile spacing which reduces with increase in spacing. 展开更多
关键词 PILE Lateral load Constitutive matrix Stress Invariants Yield Criterion
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Power System Harmonics Study for Unbalanced Microgrid System with PV Sources and Nonlinear Loads
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作者 Zhanhe Liu Xufeng Xu +1 位作者 Hany A. Abdelsalam Elham Makram 《Journal of Power and Energy Engineering》 2015年第5期43-55,共13页
Harmonics distortion is a crucial problem in microgrid. Harmonic sources can be categorized as two main factors: renewable energy integration and nonlinear loads. Both factors are investigated in this paper. For renew... Harmonics distortion is a crucial problem in microgrid. Harmonic sources can be categorized as two main factors: renewable energy integration and nonlinear loads. Both factors are investigated in this paper. For renewbale energy, photovoltaic (PV) power is one of the most effective solutions for energy crisis and it is showing great potential for serving customers in microgrid. A three- phase PV source model is establised and integrated at different locations in order to observe the impact of harmonics on a microgrid and power quality (PQ). A composite load is modeled using Crossed Frequency Admittance Matrix theory. A practicdal microgrid loacated at GA, USA is used as a study system. The microgrid, PV model and nonlinear load model are simulated in MATLAB/ Simulink environment. The results show the impact of installing PV sources at two types of locations considering linear and composite nonlinear loads. In addition, three PQ indices are discussed to show the numerical impacts with various perspectives. 展开更多
关键词 CROSSED Frequency ADMITTANCE matrix Nonlinear load HARMONICS DISTORTION PV Power Quality Indices
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A Study on Load Distribution along Contact Lines of Cylindrical Involute Gears
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作者 常山 陈谌闻 +1 位作者 李威 徐振忠 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 1995年第4期55-59,共5页
The mathematical model of current methods for determining load distribution along contact lines of the instantaneously engaged teeth of gears has a defect that its numerical solution is not unique. In order to overcom... The mathematical model of current methods for determining load distribution along contact lines of the instantaneously engaged teeth of gears has a defect that its numerical solution is not unique. In order to overcome this defect, a new method based on three-dimensional finite element compliance matrix method improved by smoothing method is presented. Calculated examples of helical gears show that the new method can calculate tooth load distribution accurately and agree well with the results of experiments. 展开更多
关键词 ss: load DISTRIBUTION CYLINDRICAL gear SMOOTHING method 3D-FEM compliance matrix
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Non-random tissue distribution of human na ve umbilical cord matrix stem cells 被引量:2
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作者 Dharmendra Kumar Maurya Chiyo Doi +4 位作者 Marla Pyle Raja Shekar Rachakatla Duane Davis Masaaki Tamura Deryl Troyer 《World Journal of Stem Cells》 SCIE CAS 2011年第4期34-42,共9页
AIM: To determine the tissue and temporal distribution of human umbilical cord matrix stem (hUCMS) cells in severe combined immunodeficiency (SCID) mice. METHODS: For studying the localization of hUCMS cells, tritiate... AIM: To determine the tissue and temporal distribution of human umbilical cord matrix stem (hUCMS) cells in severe combined immunodeficiency (SCID) mice. METHODS: For studying the localization of hUCMS cells, tritiated thymidine-labeled hUCMS cells were injected in SCID mice and tissue distribution was quantitatively determined using a liquid scintillation counter at days 1, 3, 7 and 14. Furthermore, an immunofluorescence detection technique was employed in which anti-human mitochondrial antibody was used to identify hUCMS cells in mouse tissues. In order to visualize the distribution of transplanted hUCMS cells in H&E stained tissue sections, India Black ink 4415 was used to label the hUCMS cells. RESULTS: When tritiated thymidine-labeled hUCMS cells were injected systemically (iv) in female SCID mice, the lung was the major site of accumulation at 24 h after transplantation. With time, the cells migrated to other tissues, and on day three, the spleen, stomach, and small and large intestines were the major accumulation sites. On day seven, a relatively large amount of radioactivity was detected in the adrenal gland, uterus, spleen, lung, and digestive tract. In addition, labeled cells had crossed the blood brain barrier by day 1. CONCLUSION: These results indicate that peripherally injected hUCMS cells distribute quantitatively in a tissue-specific manner throughout the body. 展开更多
关键词 HUMAN UMBILICAL cord matrix stem CELLS Immunohistochemistry India black ink loaded CELLS Radio-labeled TRANSPLANTED CELLS Tissue distribution
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Two-dimensional interactions due to moving load in generalized thermoelastic solid with diffusion 被引量:2
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作者 Sunita Deswal Suman Choudhary 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2008年第2期207-221,共15页
The present paper is concerned with the investigation of disturbances in'a homogeneous, isotropic elastic medium with generalized thermoelastic diffusion, when a moving source is acting along one of the co-ordinate a... The present paper is concerned with the investigation of disturbances in'a homogeneous, isotropic elastic medium with generalized thermoelastic diffusion, when a moving source is acting along one of the co-ordinate axis on the boundary of the medium. Eigen value approach is applied to study the disturbance in Laplace-Fourier transform domain for a two dimensional problem. The analytical expressions for displacement components, stresses, temperature field, concentration and chemical potential are obtained in the physical domain by using a numerical technique for the inversion of Laplace transform based on Fourier expansion techniques. These expressions are calculated numerically for a copper like material and depicted graphically. As special cases, the results in generalized thermoelastic and elastic media are obtained. Effect of presence of diffusion is analyzed theoretically and numerically. 展开更多
关键词 Eigen value approach vector matrix differential equation thermoelastic diffusion generalized thermoelasticity moving load Laplace and Fourier transforms
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Vibration and Buckling Approximation of an Axially Loaded Cylindrical Shell with a Three Lobed Cross Section Having Varying Thickness
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作者 Mousa Khalifa Ahmed 《Applied Mathematics》 2011年第3期329-342,共14页
On the basis of the thin-shell theory and on the use of the transfer matrix approach, this paper presents the vibrational response and buckling analysis of three-lobed cross-section cylindrical shells, with circumfere... On the basis of the thin-shell theory and on the use of the transfer matrix approach, this paper presents the vibrational response and buckling analysis of three-lobed cross-section cylindrical shells, with circumferentially varying thickness, subjected to uniform axial membrane loads. A Fourier approach is used to separate the variables, and the governing equations of the shell are formulated in terms of eight first-order differential equations in the circumferential coordinate, and by using the transfer matrix of the shell, these equations are written in a matrix differential equation. The transfer matrix is derived from the non-linear differential equations of the cylindrical shells with variable thickness by introducing the trigonometric series in the longitudinal direction and applying a numerical integration in the circumferential direction. The natural frequencies and critical loads beside the mode shapes are calculated numerically in terms of the transfer matrix elements for the symmetrical and antisymmetrical vibration modes. The influences of the thickness variation of cross- section and radius 展开更多
关键词 Free VIBRATION BUCKLING VIBRATION of Continuous System Noncircular Cylindrical Shell Transfer matrix Approach Variable Thickness AXIAL loads
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移动随机载荷下波纹夹芯板的非平稳响应特性分析
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作者 李博 邵东 +1 位作者 曹渊 梁伟阁 《兵工学报》 北大核心 2025年第7期188-198,共11页
为研究波纹夹芯板在移动随机载荷作用下引起的非平稳振动问题,建立了一个通用的动力学解析模型。利用简化一阶剪切变形理论和Hamilton原理推导得到了单个胞元的控制微分方程,基于回传射线矩阵法和虚拟激励法,引入了递推技术有效的模拟... 为研究波纹夹芯板在移动随机载荷作用下引起的非平稳振动问题,建立了一个通用的动力学解析模型。利用简化一阶剪切变形理论和Hamilton原理推导得到了单个胞元的控制微分方程,基于回传射线矩阵法和虚拟激励法,引入了递推技术有效的模拟了整个结构在移动随机载荷作用下的全域响应。通过将负载的连续移动过程划分为3个阶段,提出了针对于移动随机载荷的统一加载机制,并通过有限元仿真软件验证了计算模型的精度。研究结果表明:通过调节波纹夹芯板的厚度和倾角可以有效拓宽结构的Bragg带隙;低速移动随机载荷在作用时间内会引起更多的振动行为。研究结果为波纹夹芯板在复杂载荷条件下的设计和优化提供了理论支持,并为航空航天和海洋工程等领域中相关装备的研制提供参考。 展开更多
关键词 波纹夹芯 模态阻尼 回传射线矩阵法 移动随机载荷 非平稳响应
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