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M-P INVERSE TOPOLOGICAL VARIATION METHODOF FINITE ELEMENT STRUCTURES
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作者 陈塑寰 梁平 韩万芝 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1998年第3期289-301,共13页
Using Moore-Penrose inverse theory, a set of formulations for calculating the static responses of a changed finite element structure are given in this paper. Using these formulations by structural analysis may elimina... Using Moore-Penrose inverse theory, a set of formulations for calculating the static responses of a changed finite element structure are given in this paper. Using these formulations by structural analysis may eliminate the need of assembling the stiffness matrix and solving a set of simultaneous equations. 展开更多
关键词 topology modification structural analysis M-P inverse finite element structures
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Performance Comparison of Two Meta-Model for the Application to Finite Element Model Updating of Structures 被引量:1
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作者 Yang Liu De-Jun Wang +1 位作者 Jun Ma Yang Li 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2014年第3期68-78,共11页
To investigate the application of meta-model for finite element( FE) model updating of structures,the performance of two popular meta-model,i. e.,Kriging model and response surface model( RSM),were compared in detail.... To investigate the application of meta-model for finite element( FE) model updating of structures,the performance of two popular meta-model,i. e.,Kriging model and response surface model( RSM),were compared in detail. Firstly,above two kinds of meta-model were introduced briefly. Secondly,some key issues of the application of meta-model to FE model updating of structures were proposed and discussed,and then some advices were presented in order to select a reasonable meta-model for the purpose of updating the FE model of structures. Finally,the procedure of FE model updating based on meta-model was implemented by updating the FE model of a truss bridge model with the measured modal parameters. The results showed that the Kriging model was more proper for FE model updating of complex structures. 展开更多
关键词 finite element model updating of structures META-MODEL kriging model response surface model
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Finite element analysis of dynamic response and structure borne noise of gearbox 被引量:4
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作者 LIU Wen LIN Teng-jiao LI Run-fang DU Xue-song 《Journal of Chongqing University》 CAS 2007年第2期119-124,共6页
A dynamic finite element method combined with finite element mixed formula for contact problem is used to analyze the dynamic characteristics of gear system. Considering the stiffness excitation, error excitation and ... A dynamic finite element method combined with finite element mixed formula for contact problem is used to analyze the dynamic characteristics of gear system. Considering the stiffness excitation, error excitation and meshing shock excitation, the dynamic finite element model is established for the entire gear system which includes gears, shafts, bearings and gearbox housing. By the software of I-DEAS, the natural frequency, normal mode, dynamic time-domain response, frequency-domain response and one-third octave velocity grade structure borne noise of gear system are studied by the method of theoretical modal analysis and dynamic response analysis. The maximum values of vibration and structure borne noise are occurred at the mesh frequency of output grade gearing. 展开更多
关键词 aear system finite element method: modal analysis response analyses structure borne noise
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Gas concentration pre-warning system based on fuzzy structured element
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作者 任志玲 于群 《Journal of Coal Science & Engineering(China)》 2008年第4期581-584,共4页
In order to accurately test gas concentration and effectively pre-waming when the gas concentration over-limited on work face, used the high-performance and low prices SCM and the low-cost and high transfer efficiency... In order to accurately test gas concentration and effectively pre-waming when the gas concentration over-limited on work face, used the high-performance and low prices SCM and the low-cost and high transfer efficiency bluetooth technology to forecast the gas concentration in real time. The data tested by SCM, then got the corresponding mathematical model of the data. Put forward the idea of using fuzzy structured element theory to dynamic forecast the gas concentration, analyzed the features in abnormal-effusing on work face and judge whether there was the possibility of abnormal gas-effusion. Simulation results show that mathematical model of this system about gas concentration is correct. This system changes coal mine monitoring system's traditional way of after-alarming into early-warning, and thus enhances its feasibility. 展开更多
关键词 gas concentration pre-warning structured element MONITORING
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THE RATIONALISM THEORY AND ITS FINITE ELEMENT ANALYSIS METHOD OF SHELL STRUCTURES
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作者 李龙元 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1990年第4期395-402,共8页
In this paper, a kind of rationalism theory of shell is established which is of different mechanic characters in tension and in compression, and the finite element numerical analysis method is also described.
关键词 THE RATIONALISM THEORY AND ITS FINITE element ANALYSIS METHOD OF SHELL structureS THAN
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Finite Element Analysis on the Pre-load Structures of the Central Solenoid for the HT-7U Device
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作者 曹云露 吴维越 +1 位作者 翁佩德 武松涛 《Plasma Science and Technology》 SCIE EI CAS CSCD 2001年第3期813-820,共8页
The central solenoid is an important part of the HT-7U device. In this paper, the computational analysis of the stress and the displacement on the pre-load structures of the central solenoid have been made by the fin... The central solenoid is an important part of the HT-7U device. In this paper, the computational analysis of the stress and the displacement on the pre-load structures of the central solenoid have been made by the finite element analysis system COSMOS/M2.0 under room and/or operating temperature. According to the analytical results, the clip aprons and compression plates are all satisfied with safety design criteria. 展开更多
关键词 Finite element Analysis on the Pre-load structures of the Central Solenoid for the HT-7U Device HT LOAD
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辽宁省要素含量与贸易关系研究——基于市级面板数据
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作者 许晓军 《北方经贸》 2025年第10期110-114,共5页
要素含量消除了贸易幻觉,揭示了贸易的本质。大连和沈阳的外商投资要素含量、科技要素含量、财政投资要素含量和人力资本要素含量位于全省领先位置,本溪的城镇化要素含量最高,阜新的产业结构要素含量最高。朝阳的外商投资要素含量最低,... 要素含量消除了贸易幻觉,揭示了贸易的本质。大连和沈阳的外商投资要素含量、科技要素含量、财政投资要素含量和人力资本要素含量位于全省领先位置,本溪的城镇化要素含量最高,阜新的产业结构要素含量最高。朝阳的外商投资要素含量最低,铁岭、朝阳和葫芦岛的城镇化要素含量最低,阜新和葫芦岛的财政投资要素含量最低,盘锦的产业结构要素含量最低,阜新科技要素含量最低,朝阳的人力资本要素含量最低。面板模型回归表明,外商投资要素含量和产业结构要素含量对辽宁对外开放程度具有显著的正向作用,财政投资要素含量也具有正向作用。城镇化要素含量、科技要素含量和人力资本要素含量对辽宁对外开放程度可能具有正向作用,也可能具有负向作用。为了提升辽宁在全球贸易价值链地位,应该进一步加大招商引资力度,优化营商环境,促进产业结构升级,提高辽宁对外开放度和产业结构丰厚度,加大科技要素和人力资本要素的投入。 展开更多
关键词 贸易要素 辽宁省 全球价值链 产业结构丰厚度
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Edge detection method for remote sensing image based on morphological variable structuring element 被引量:4
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作者 YAO Li juan WANG Xiao peng +1 位作者 WANG Wei MA Wen gang 《Journal of Measurement Science and Instrumentation》 CAS CSCD 2018年第3期233-240,共8页
There are problems such as incomplete edges and poor noise suppression when a single fixed morphological structuring element is used to detect the edges in remote sensing images. For this reason, a morphological edge ... There are problems such as incomplete edges and poor noise suppression when a single fixed morphological structuring element is used to detect the edges in remote sensing images. For this reason, a morphological edge detection method for remote sensing image based on variable structuring element is proposed. Firstly, the structuring elements with different scales and multiple directions are constructed according to the diversity of remote sensing imagery targets. In order to suppress the noise of the target background and highlight the edge of the image target in the remote sensing image by adaptive Top hat and Bottom hat transform, the corresponding adaptive morphological operations are constructed based on variable structuring elements; Secondly, adaptive morphological edge detection is used to obtain multiple images with different scales and directional edge features; Finally, the image edges are obtained by weighted summation of each direction edge, and then the least square is used to fit the edges for accurate location of the edge contour of the target. The experimental results show that the proposed method not only can detect the complete edge of remote sensing image, but also has high edge detection accuracy and superior anti-noise performance. Compared with classical edge detection and the morphological edge detection with a fixed single structuring element, the proposed method performs better in edge detection effect, and the accuracy of detection can reach 95 % 展开更多
关键词 edge detection remote sensing image variable structuring element least squares method
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A Signal Based “W” Structural Elements for Multi-scale Mathematical Morphology Analysis and Application to Fault Diagnosis of Rolling Bearings of Wind Turbines 被引量:2
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作者 Qiang Li Yong-Sheng Qi +2 位作者 Xue-Jin Gao Yong-Ting Li Li-Qiang Liu 《International Journal of Automation and computing》 EI CSCD 2021年第6期993-1006,共14页
Working conditions of rolling bearings of wind turbine generators are complicated, and their vibration signals often show non-linear and non-stationary characteristics. In order to improve the efficiency of feature ex... Working conditions of rolling bearings of wind turbine generators are complicated, and their vibration signals often show non-linear and non-stationary characteristics. In order to improve the efficiency of feature extraction of wind turbine rolling bearings and to strengthen the feature information, a new structural element and an adaptive algorithm based on the peak energy are proposed,which are combined with spectral correlation analysis to form a fault diagnosis algorithm for wind turbine rolling bearings. The proposed method firstly addresses the problem of impulsive signal omissions that are prone to occur in the process of fault feature extraction of traditional structural elements and proposes a "W" structural element to capture more characteristic information. Then, the proposed method selects the scale of multi-scale mathematical morphology, aiming at the problem of multi-scale mathematical morphology scale selection and structural element expansion law. An adaptive algorithm based on peak energy is proposed to carry out morphological scale selection and structural element expansion by improving the computing efficiency and enhancing the feature extraction effect.Finally, the proposed method performs spectral correlation analysis in the frequency domain for an unknown signal of the extracted feature and identifies the fault based on the correlation coefficient. The method is verified by numerical examples using experimental rig bearing data and actual wind field acquisition data and compared with traditional triangular and flat structural elements. The experimental results show that the new structural elements can more effectively extract the pulses in the signal and reduce noise interference,and the fault-diagnosis algorithm can accurately identify the fault category and improve the reliability of the results. 展开更多
关键词 Fault diagnosis structural element multi-scale mathematical morphology rolling bearing correlation analysis
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Studying the performance of fully encapsulated rock bolts with modified structural elements 被引量:2
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作者 Jianhang Chen Hongbao Zhao +2 位作者 Fulian He Junwen Zhang Kangming Tao 《International Journal of Coal Science & Technology》 EI CAS CSCD 2021年第1期64-76,共13页
Numerical simulation is a useful tool in investigating the loading performance of rock bolts.The cable structural elements(cableSELs)in FLAC3D are commonly adopted to simulate rock bolts to solve geotechnical issues.I... Numerical simulation is a useful tool in investigating the loading performance of rock bolts.The cable structural elements(cableSELs)in FLAC3D are commonly adopted to simulate rock bolts to solve geotechnical issues.In this study,the bonding performance of the interface between the rock bolt and the grout material was simulated with a two-stage shearing coupling model.Furthermore,the FISH language was used to incorporate this two-stage shear coupling model into FLAC3D to modify the current cableSELs.Comparison was performed between numerical and experimental results to confirm that the numerical approach can properly simulate the loading performance of rock bolts.Based on the modified cableSELs,the influence of the bolt diameter on the performance of rock bolts and the shear stress propagation along the interface between the bolt and the grout were studied.The simulation results indicated that the load transfer capacity of rock bolts rose with the rock bolt diameter apparently.With the bolt diameter increasing,the performance of the rock bolting system was likely to change from the ductile behaviour to the brittle behaviour.Moreover,after the rock bolt was loaded,the position where the maximum shear stress occurred was variable.Specifically,with the continuous loading,it shifted from the rock bolt loaded end to the other end. 展开更多
关键词 Fully encapsulated rock bolts Numerical simulation Structural elements Shear coupling model Interface shear strength
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Structure and electrochemical properties of LaMgNi4-xCox(x=0-0.8)hydrogen storage electrode alloys 被引量:6
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作者 Tai Yang Ting-Ting Zhai +3 位作者 Ze-Ming Yuan Wen-Gang Bu Yan Qi Yang-Huan Zhang 《Rare Metals》 SCIE EI CAS CSCD 2018年第3期249-256,共8页
LaMgNi(4-x)Cox(x = 0-0.8) electrode alloys used for MH/Ni batteries were prepared by induction melting. The structures and electrochemical hydrogen storage properties of the alloys were investigated in detail.X-ra... LaMgNi(4-x)Cox(x = 0-0.8) electrode alloys used for MH/Ni batteries were prepared by induction melting. The structures and electrochemical hydrogen storage properties of the alloys were investigated in detail.X-ray diffraction(XRD) and scanning electron microscopy(SEM) analysis show that LaMgNi4 phase and LaNi5 phase are obtained. The lattice parameters of the two phases increase first and then decrease with Co content increasing.The electrochemical properties of the alloy electrodes were measured by means of simulated battery tests. Results show that the addition of Co does not change the discharge voltage plateau of the alloy electrodes. However, the maximum discharge capacity increases from 319.9 mAh·g^-1(x = 0)to 347.5 mAh·g^-1(x = 0.4) and then decreases to331.7 mAh·g^-1(x = 0.8). The effects of Co content on electrochemical kinetics of the alloy electrodes were also performed. The high rate dischargeability(HRD) first increases and then decreases with Co content increasing and reaches the maximum value(95.0 %) when x = 0.4. Test results of the electrochemical impedance spectra(EIS),potentiodynamic polarization curves and constant potential step measurements of the alloy electrodes all demonstrate that when Co content is 0.4 at%, the alloy exhibits the best comprehensive electrochemical properties. 展开更多
关键词 Hydrogen storage alloy element substitution Phase structure Electrochemical performances Kinetics
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A method of remote sensing image water segmentation based on adaptive morphological elliptical structuring elements 被引量:1
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作者 WEN Hao-tian WANG Xiao-peng 《Journal of Measurement Science and Instrumentation》 CAS CSCD 2020年第3期236-243,共8页
The use of visible and infrared remote sensing images to calculate the water area is an effective means to grasp the basic situation of water resources,and water segmentation is the premise of statistics.Generally,the... The use of visible and infrared remote sensing images to calculate the water area is an effective means to grasp the basic situation of water resources,and water segmentation is the premise of statistics.Generally,the edge features of the water in the remote sensing images are complex.When the traditional morphology is used for image segmentation,it is easy to change the image edge and affect the accuracy of image segmentation because the fixed structuring elements are used to perform morphological operations on the image.To segment water in the remote sensing image accurately,a remote sensing image water segmentation method based on adaptive morphological elliptical structuring elements is proposed.Firstly,the eigenvalue and eigenvector of the image are estimated by linear structure tensor,and the elliptical structuring elements are constructed by the eigenvalue and eigenvector.Then adaptive morphological operations are defined,combining the close operation to eliminate the influence of dark detail noise on water without overstretching the water edge,so that the water edge can be maintained more accurately.Finally,on this basis,the water area can be segmented by gray slice.The experimental results show that the proposed method has higher segmentation accuracy and the average segmentation error is less than 1.43%. 展开更多
关键词 image processing adaptive morphology elliptical structuring elements remote sensing images water segmentation gray slice
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Salience adaptive morphological structuring element construction method based on minimum spanning tree 被引量:1
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作者 YANG Wenting WANG Xiaopeng FANG Chao 《Journal of Measurement Science and Instrumentation》 CAS CSCD 2021年第1期36-43,共8页
Classical mathematical morphology operations use a fixed size and shape structuring element to process the whole image.Due to the diversity of image content and the complexity of target structure,for processed image,i... Classical mathematical morphology operations use a fixed size and shape structuring element to process the whole image.Due to the diversity of image content and the complexity of target structure,for processed image,its shape may be changed and part of the information may be lost.Therefore,we propose a method for constructing salience adaptive morphological structuring elements based on minimum spanning tree(MST).First,the gradient image of the input image is calculated,the edge image is obtained by non-maximum suppression(NMS)of the gradient image,and then chamfer distance transformation is performed on the edge image to obtain a salience map(SM).Second,the radius of structuring element is determined by calculating the maximum and minimum values of SM and then the minimum spanning tree is calculated on the SM.Finally,the radius is used to construct a structuring element whose shape and size adaptively change with the local features of the input image.In addition,the basic morphological operators such as erosion,dilation,opening and closing are redefined using the adaptive structuring elements and then compared with the classical morphological operators.The simulation results show that the proposed method can make full use of the local features of the image and has better processing results in image structure preservation and image filtering. 展开更多
关键词 adaptive structuring element mathematical morphology salience map(SM) minimum spanning tree(MST)
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Topology optimization of support structure of telescope skin based on bit-matrix representation NSGA-II 被引量:8
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作者 Liu Weidong Zhu Hua +3 位作者 Wang Yiping Zhou Shengqiang Bai Yalei Zhao Chunsheng 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2013年第6期1422-1429,共8页
Non-dominated sorting genetic algorithm II(NSGA-II)with multiple constraints handling is employed for multi-objective optimization of the topological structure of telescope skin,in which a bit-matrix is used as the ... Non-dominated sorting genetic algorithm II(NSGA-II)with multiple constraints handling is employed for multi-objective optimization of the topological structure of telescope skin,in which a bit-matrix is used as the representation of a chromosome,and genetic algorithm(GA)operators are introduced based on the matrix.Objectives including mass,in-plane performance,and out-of-plane load-bearing ability of the individuals are obtained by fnite element analysis(FEA)using ANSYS,and the matrix-based optimization algorithm is realized in MATLAB by handling multiple constraints such as structural connectivity and in-plane strain requirements.Feasible confgurations of the support structure are achieved.The results confrm that the matrix-based NSGA-II with multiple constraints handling provides an effective method for two-dimensional multi-objective topology optimization. 展开更多
关键词 Bit-matrix representation Finite element method Flexible skin Matrix-based NSGA-II Structural optimization Topology optimization
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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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Contrastive analysis and crashworthiness optimization of two composite thin-walled structures 被引量:5
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作者 谢素超 周辉 +1 位作者 梁习锋 任鑫 《Journal of Central South University》 SCIE EI CAS 2014年第11期4386-4394,共9页
For the safety protection of passengers when train crashes occur, special structures are crucially needed as a kind of indispensable energy absorbing device. With the help of the structures, crash kinetic-energy can b... For the safety protection of passengers when train crashes occur, special structures are crucially needed as a kind of indispensable energy absorbing device. With the help of the structures, crash kinetic-energy can be completely absorbed or dissipated for the aim of safety. Two composite structures(circumscribed circle structure and inscribed circle structure) were constructed. In addition, comparison and optimization of the crashworthy characteristic of the two structures were carried out based on the method of explicit finite element analysis(FEA) and Kriging surrogate model. According to the result of Kriging surrogate model, conclusions can be safely drawn that the specific energy absorption(SEA) and ratio of specific energy absorption to initial peak force(REAF) of circumscribed circle structure are lager than those of inscribed circle structure under the same design parameters. In other words, circumscribed circle structure has better performances with higher energy-absorbing ability and lower initial peak force. Besides, error analysis was adopted and the result of which indicates that the Kriging surrogate model has high nonlinear fitting precision. What is more, the SEA and REAF optimum values of the two structures have been obtained through analysis, and the crushing results have been illustrated when the two structures reach optimum SEA and REAF. 展开更多
关键词 contrastive analysis crashworthiness optimization composite structure Kriging surrogate model finite element analysis
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NANO-BEARING:THE DESIGN OF A NEW TYPE OF AIR BEARING WITH FLEXURE STRUCTURE 被引量:1
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作者 KO Pui Hang DU Ruxu 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2007年第5期12-15,共4页
A new type of air bearing with flexure structure is introduced. The new bearing is designed for precision mechanical engineering devices such as mechanical watch movement. The new design uses the flexure structure to ... A new type of air bearing with flexure structure is introduced. The new bearing is designed for precision mechanical engineering devices such as mechanical watch movement. The new design uses the flexure structure to provide 3D damping to absorb shocks from all directions. Two designs are presented: one has 12 T-shape slots in the radian direction while the other has 8 spiral slots in the radian direction. Both designs have flexure mountings on the axial directions. Based on the finite element analysis (FEA), the new bearing can reduce the vibration (displacement) by as much as 8.37% and hence, can better protect the shafts. 展开更多
关键词 Precision engineering Bearing Flexures structure Finite element analysis
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STIFFNESS EQUATION OF FINITE SEGMENT FOR FLEXIBLE BEAM-FORMED STRUCTURAL ELEMENTS
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作者 Yun Chao Zong Guanghua (Institute of Robotics, Beijing University of Aeronautics and Astronautics Liu Youwu (Tianjin University) 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2000年第1期17-24,共8页
The finite segment modelling for the flexible beam-formed structural elements is presented, in which the discretization views of the finite segment method and the difference from the finite element method are introduc... The finite segment modelling for the flexible beam-formed structural elements is presented, in which the discretization views of the finite segment method and the difference from the finite element method are introduced. In terms of the nodal model, the joint properties are described easily by the model of the finite segment method, and according to the element properties, the assumption of the small strain is only met in the finite segment method, i. e., the geometric nonlinear deformation of the flexible bodies is allowable. Consequently,the finite segment method is very suited to the flexible multibody structure. The finite segment model is used and the are differentiation is adopted for the differential beam segments. The stiffness equation is derived by the use of the principle of virtual work. The new modelling method shows its normalization, clear physical and geometric meanings and simple computational process. 展开更多
关键词 Beam-formed structural element Finite segment Stiffness equation Shape function
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Construction of Structural Elements and Characteristic System of Athletes’Cognitive Ability
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作者 WU Chuanzhong XU Li +5 位作者 Korobeynikava Lesia QIU Xuhui WANG Yangsong WANG Yongxiang SUN Mengfei GAN Yirun 《Psychology Research》 2022年第5期238-243,共6页
Cognitive ability is important component of competitive ability of athletes,an important content of winning elements in sports,and an important topic of modern sports training and scientific research.These problems wi... Cognitive ability is important component of competitive ability of athletes,an important content of winning elements in sports,and an important topic of modern sports training and scientific research.These problems will restrict the improvement of athletes’cognitive ability and mental level.Based on the theory of psychology,use multiple hierarchical thinking,research cognitive theory of sports and the characteristics of cognitive ability of elite athletes,research the structure element system of cognitive ability,construct a two-level structure model of the cognitive ability of excellent athletes,summarize specific characteristics of the first level elements,and apply psychological cognitive theory to the training of modern Olympic Games mobilization,so as to provide valuable cognitive training,psychological training,and intelligence training for athletes theoretical guidance. 展开更多
关键词 ATHLETE COGNITION cognitive ability structural elements CHARACTERISTICS
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THE RANDOM VARIATIONAL PRINCIPLE IN FINITE DEFORMATION OF ELASTICITY AND FINITE ELEMENT METHOD
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作者 高行山 张汝清 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1994年第10期903-911,共9页
In the present paper, we hare mtroduced the random materials. loads. geometricalshapes, force and displacement boundary condition directly. into the functionalvariational formula, by. use of a small parameter perturb... In the present paper, we hare mtroduced the random materials. loads. geometricalshapes, force and displacement boundary condition directly. into the functionalvariational formula, by. use of a small parameter perturbation method, a unifiedrandom variational principle in finite defomation of elastieity and nonlinear randomfinite element method are esiablished, and used.for reliability, analysis of structures.Numerical examples showed that the methods have the advontages of simple andconvenient program implementation and are effective for the probabilistic problems inmechanics. 展开更多
关键词 finite deformation. vanational principle finite element method.structural reliability analysis
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