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Architectural Model of a Dryland Gravel Braided River,based on 3D UAV Oblique Photogrammetric Data:A Case Study of West Dalongkou River in Eastern Xinjiang,China 被引量:1
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作者 YIN Senlin ZHU Baiyu +5 位作者 GUO Haiping XU Zhenhua LI Xiaoshan WU Xiaojun CHEN Yukun JIANG Zhibin 《Acta Geologica Sinica(English Edition)》 SCIE CAS CSCD 2023年第1期269-285,共17页
Three-dimensional unmanned aerial vehicle(UAV)oblique photogrammetric data were used to infer mountainous gravel braided river lithofacies,lithofacies associations and architectural elements.Hierarchical architecture ... Three-dimensional unmanned aerial vehicle(UAV)oblique photogrammetric data were used to infer mountainous gravel braided river lithofacies,lithofacies associations and architectural elements.Hierarchical architecture and lithofacies associations with detailed lithofacies characterizations were comprehensively described to document the architectural model,architectural element scale and gravel particle scale.(1)Nine lithofacies(i.e.,Gmm,Gcm,Gcc,Gci,Gcl,Ss,Sm,Fsm and Fl)were identified and classified as gravel,sand and fine matrix deposits.These are typical depositional features of a mountainous dryland gravel-braided river.(2)Three architectural elements were identified,including channel(CH),gravel bar(GB)and overbank(OB).CH can be further divided into flow channel and abandoned channel,while GB consists of Central Gravel bar(CGB)and Margin Gravel bar(MGB).(3)The gravel bar is the key architectural element of the gravel braided river,with its geological attributes.The dimensions of GBs and their particles are various,but exhibit good relationships with each other.The grain size of GB decreases downstream,but the dimensions of GB do not.The bank erosion affects the GB dimensions,whereas channel incision and water flow velocity influence the grain size of GB.The conclusions can be applied to the dryland gravel braided river studies in tectonically active areas. 展开更多
关键词 three-dimensional UAV oblique photogrammetry gravel braided river architecture modern deposits West Dalongkou River
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Using Digital Twin to Diagnose Faults in Braiding Machinery Based on IoT
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作者 Youping Lin Huangbin Lin Dezhi Wei 《Intelligent Automation & Soft Computing》 SCIE 2023年第8期1363-1379,共17页
The digital twin(DT)includes real-time data analytics based on the actual product or manufacturing processing parameters.Data from digital twins can predict asset maintenance requirements ahead of time.This saves mone... The digital twin(DT)includes real-time data analytics based on the actual product or manufacturing processing parameters.Data from digital twins can predict asset maintenance requirements ahead of time.This saves money by decreasing operating expenses and asset downtime,which improves company efficiency.In this paper,a digital twin in braiding machinery based on IoT(DTBM-IoT)used to diagnose faults.When an imbalance fault occurs,the system gathers experimental data.After that,the information is sent into a digital win model of the rotor system to see whether it can quantify and locate imbalance for defect detection.It is possible to anticipate asset maintenance requirements with DT technology by IoT(Internet of Things)sensors,XR(X-Ray)capabilities,and AI-powered analytics.A DT model’s appropriate design and flexibility remain difficult because of the nonlinear dynamics and unpre-dictability inherent in the degrading process of equipment.The results indicate that the DT in braiding machinery developed allows for precise diagnostic and dynamic deterioration analysis.At least there is 37%growth in efficiency over conventional approaches. 展开更多
关键词 braiding machinery IOT digital twin defect detection rotor system
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Torsion properties of poly (glycolide-co-L-lactide) biodegradable braided regeneration conduits for peripheral nerve repair
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作者 Weihua Liu 《Neural Regeneration Research》 SCIE CAS CSCD 2010年第5期342-347,共6页
BACKGROUND: Poly (glycolide-co-L-lactide) (PGLA) braided regeneration conduits have been shown to be biocompatible for the repair of damaged nerve. Mechanical properties, such as radial compression and torsion, g... BACKGROUND: Poly (glycolide-co-L-lactide) (PGLA) braided regeneration conduits have been shown to be biocompatible for the repair of damaged nerve. Mechanical properties, such as radial compression and torsion, greatly influence nerve regeneration and functional recovery. OBJECTIVE: To observe the influence of conduit parameters and coating methods on torsion properties in an in vitro-degradation environment and at normal temperature. DESIGN, TIME AND SE'I-FING: An in vitro, comparative study using repeated measures was performed at the College of Textiles, Donghua University, China from January 2005 to December 2007. MATERIALS: PGLA fiber and yarn (Shanghai Bio-TianQing, China), as well as torsion property testing instrument (LaiZhou Electronic Instrument, China), were used in the present study. METHODS: A total of 16 types of conduits were constructed according to braiding structures (regular/triaxial), angles (50°/55°/60°/65°)nd coating methods (coated/uncoated). At normal temperature, torsion properties of all conduits were tested at a predefined constant angle of 90°. Coated and uncoated conduits, which were triaxial and 65°, were incubated in a 5% CO2 incubator at 37 ℃ to simulate an in vitro degradation environment, and then torsion properties were tested at 4, 7, 11, 14, 17, 21,24, and 28 days in culture. MAIN OUTCOME MEASURES: Maximal torsion strength and torsion strength-torsion angle curve of conduits at normal temperature, as well as torsion strength-torsion angle curve, loss of torsion strength, and change in maximal torsion strength in an in vitro degradation environment. RESULTS: At normal temperature, the torsion properties of the triaxial structure were superior to the regular structure. Coated conduits performed better than uncoated ones, and the larger braiding angles exhibited superior torsion properties (P 〈 0.05). In the in vitro degradation environment, with degradation time, torsion strength of uncoated conduits was deceased gradually and the loss of torsion strength was increased fast. Torsion strength of coated conduits was increased first and decreased afterwards; the loss of torsion strength was decreased slowly till 14 days; both became identical after 14 days (P 〉 0.05). CONCLUSION: Torsion properties of coated conduits with a triaxial structure and large braiding angle were superior to uncoated conduits with regular structures and small braiding angles. 展开更多
关键词 braiding angle braiding structure biodegradable braided regeneration conduits torsion properties in vitro degradation
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On braided Lie algebras
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作者 朱海星 刘国华 《Journal of Southeast University(English Edition)》 EI CAS 2011年第2期227-229,共3页
Let (C, C) be a braided monoidal category. The relationship between the braided Lie algebra and the left Jacobi braided Lie algebra in the category (C, C) is investigated. First, a braided C2-commutative algebra i... Let (C, C) be a braided monoidal category. The relationship between the braided Lie algebra and the left Jacobi braided Lie algebra in the category (C, C) is investigated. First, a braided C2-commutative algebra in the category (C, C) is defined and three equations on the braiding in the category (C, C) are proved. Secondly, it is verified that (A, [, ] ) is a left (strict) Jacobi braided Lie algebra if and only if (A, [, ] ) is a braided Lie algebra, where A is an associative algebra in the category (C, C). Finally, as an application, the structures of braided Lie algebras are given in the category of Yetter-Drinfel'd modules and the category of Hopf bimodules. 展开更多
关键词 Hopf algebra braided monoidal category braided Lie algebra
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Creep Test of Polymer-matrix 3-D Braided Composites 被引量:2
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作者 陈利 李嘉禄 +1 位作者 陈光伟 李典森 《Journal of Donghua University(English Edition)》 EI CAS 2006年第1期1-3,共3页
The long-term creep behavior of polymer-matrix 3-D braided composites was studied by using the tensile creep test method, and the effect of braiding structure, braiding angle and fiber volume fraction were discussed. ... The long-term creep behavior of polymer-matrix 3-D braided composites was studied by using the tensile creep test method, and the effect of braiding structure, braiding angle and fiber volume fraction were discussed. The creep curve appears as expected, and can be defined two phases, namely, the primary phase and the secondary phase. For each sample, strain increases with time rapidly, and then the strain rate decreases and appears to approach a constant rate of change (steady-state creep). The experiment results show that the creep resistant properties are improved while the braiding angle decreases or the fiber volume fraction increases, and that the five-directional braiding structure offers better creep resistant properties than the four-directional braiding structure. 展开更多
关键词 braided composites CREEP braid.
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EXPERIMENTAL STUDY ON OPTIC PERFORMANCES OF OPTIC FIBER BRAIDED IN CARBON FIBER BRAIDED COMPOSITES
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作者 袁慎芳 黄睿 +1 位作者 谢蒙萌 陶宝祺 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2000年第2期113-118,共6页
D braiding technology has stimulated a great deal of interest in the world at large and been widely used in aerospace, military, civil construction and medical fields. Although 3 D braided composites have many good f... D braiding technology has stimulated a great deal of interest in the world at large and been widely used in aerospace, military, civil construction and medical fields. Although 3 D braided composites have many good features, their features are very complicated. Optic fiber sensors can be multi braided into 3 D braided composites to fulfill a new kind of 3 D smart composites to monitor RTM process, study mechanical behaviors and damage states after molding, and monitor its own condition during service life. Since optic performances of optic fibers have direct and important relation to the performances of optic fiber sensors, experimental research is done to devise a method to incorporate the optic fiber into a 3 D structure. The optical performances of the braided optic fibers are tested and compared with the original one to study the optic performances of optic fibers, before their being braided into composites and after the RTM process. 展开更多
关键词 optic fiber sensor braided composites optic performance
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Permutation Analysis of Track and Column Braiding 被引量:1
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作者 李毓陵 丁辛 胡良剑 《Journal of Donghua University(English Edition)》 EI CAS 2004年第2期34-37,共4页
The positions of braiding carrier in track and column braiding are represented by a diagrammatic braiding plan and a corresponding lattice-array is defined. A set is then formed so that the permutation analysis can be... The positions of braiding carrier in track and column braiding are represented by a diagrammatic braiding plan and a corresponding lattice-array is defined. A set is then formed so that the permutation analysis can be performed to represent the movement of carriers in a braiding process. The process of 4-step braiding is analyzed as an example to describe the application of the proposed method by expressing a braiding cycle as a product of disjoint cycles. As a result, a mapping relation between the disjoint cycles and the movement of carriers is deduced. Following the same analysis principles, a process of 8-step braiding and the corresponding initial state of the lattice-array is developed. A successful permutation analysis to the process manifests the general suitability of the proposed method. 展开更多
关键词 track and column braiding braiding pattern lattice-array PERMUTATION cycle
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Analysis of mechanical performance of braided esophageal stent structure and its wires
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作者 倪晓宇 王果 +1 位作者 龙志红 潘长网 《Journal of Southeast University(English Edition)》 EI CAS 2012年第4期457-463,共7页
This paper aims to find the relationship between the structural parameters and the radial stiffness of the braided stent and to understand the stress distribution law of the wires. According to the equation of the spa... This paper aims to find the relationship between the structural parameters and the radial stiffness of the braided stent and to understand the stress distribution law of the wires. According to the equation of the space spiral curve, a three-dimensional parametrical geometrical model is constructed. The finite element model is built by using the beam-beam contact elements and 3D beam elements. The constituent nitinol wires are assumed to be linear elastic material. The finite element analysis figures out that the radial stiffness of the stent and the stress distribution of the wires are influenced by all the structural parameters. The helix pitch of the wires is the most important factor. Under the condition of the same load and other structural parameters remaining unchanged, when the number of wires is 24, the stress of the wire crosssection is at the minimum. A comparison between the vitro experimental results and the analytical results is conducted, and the data is consistent, which proves that the current finite element model can be used to appropriately predict the mechanical performance of the braided esophageal stents. 展开更多
关键词 braided esophageal stent finite element mechanical performance radial stiffness WIRE
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INCLINED LAMINAL COMBINATION MODEL OF 3D BRAIDED COMPOSITES
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作者 周光明 王鑫伟 乔新 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 1995年第1期8-14,共7页
As an advanced composite material, the 3D braided composite has received more and more attention in foreign countries. However, it has received less attention in China. The geometric unit cell which can describe the b... As an advanced composite material, the 3D braided composite has received more and more attention in foreign countries. However, it has received less attention in China. The geometric unit cell which can describe the basic structure and the relationship between the braiding angle and geometric parameters of the fabric and fiber volume ratio are given in this paper based on two 3D braiding processes, namely, the four-step and the twostep ones. Several existing mechanical models to predict groperties of the 3D braided comPOsites are discussed and their shortcomings are pointed out herein. Then a new model called the inclined laminal combination model is proposed, which is based on the classical laminated plate theory and can predict the basic mechanical behavior of the two 3D braided composites with four-step or two-step braid. In the model, each yarn in the unit cell is regarded as an inclined laminate and then a 3D analysis is performed. It is found that the predicted mechanical properties of the 3D braided composites by the proposed model are compared well with the experimental data. 展开更多
关键词 COMPOSITES mechanical properties unit cell mechanical model 3D braided
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关于Braided双代数的一些注记
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作者 王栓宏 王红军 《河南师范大学学报(自然科学版)》 CAS CSCD 1999年第1期4-7,共4页
本文首先讨论了余半单Hopf代数的Braided结构的有限性.其次,对于左H-模代数A,通过构造新的代数结构A#σH,推广了Doi.Y.在文献[2]中的部分结果.
关键词 HOPF代数 braided双代数 模代数 有限性
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Making the category of entwined modules into a braided monoidal category
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作者 刘玲 王栓宏 《Journal of Southeast University(English Edition)》 EI CAS 2008年第2期250-252,共3页
The question of how the category of entwined modules can be made into a braided monoidal category is studied. First, the sufficient and necessary conditions making the category into a monoidal category are obtained by... The question of how the category of entwined modules can be made into a braided monoidal category is studied. First, the sufficient and necessary conditions making the category into a monoidal category are obtained by using the fact that if (A, C, ψ) is an entwining structure, then A × C can be made into an entwined module. The conditions are that the algebra and coalgebra in question are both bialgebras with some extra compatibility relations. Then given a monodial category of entwined modules, the braiding is constructed by means of a twisted convolution invertible map Q, and the conditions making the category form into a braided monoidal category are obtained similarly. Finally, the construction is applied to the category of Doi-Hopf modules and (α, β )-Yetter-Drinfeld modules as examples. 展开更多
关键词 Doi-Hopf module entwined module braided monoidal category
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Modification of Longitudinal Modulus of 3D Full Five Directional Braided Composite Materials Base on Energy Theory
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作者 Apeng Dong Shu Li +1 位作者 Wenguo Zhu Jing Pu 《Journal of Beijing Institute of Technology》 EI CAS 2019年第3期651-658,共8页
The aim of this paper is to investigate the longitudinal modulus of three dimensional full five directional (3Df5d) braided composite. First, the analytical model of the internal unit cell is established based on its ... The aim of this paper is to investigate the longitudinal modulus of three dimensional full five directional (3Df5d) braided composite. First, the analytical model of the internal unit cell is established based on its topological structure. Then, according to the intrinsic relation of different cells, the axial moduli of internal, surface and corner cells are systematically deduced, and the influence of corner-cell periodic discontinuity on the moduli is also analyzed. Finally, considering the actual shape of axial yarns after consolidation, the longitudinal moduli of the different cells are modified based on energy theory. The technology factor λ is also proposed in this modification. The results show that the axial mechanical properties of this material can be strongly designable. The straightness of the axial yarns greatly affects the longitudinal modulus. Technology factor λ is between 1 to 2, corresponding to the minimum and the maximum modulus, respectively. 展开更多
关键词 braided composites braidING parameters ELASTIC MODULUS strain energy technology factor
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基于Ⅱ三维重建的facet-braiding现象分析
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作者 王红霞 《计算机科学》 CSCD 北大核心 2010年第10期248-250,共3页
三维全景图像技术(Integral Imaging,简称Ⅱ)是一种能够记录和显示全真三维场景的图像技术。该技术采用微透镜阵列记录空间场景,空间任意一点的深度信息只需通过一次成像即可直接获得。Facet-braiding是三维全景图像中一种很重要的视觉... 三维全景图像技术(Integral Imaging,简称Ⅱ)是一种能够记录和显示全真三维场景的图像技术。该技术采用微透镜阵列记录空间场景,空间任意一点的深度信息只需通过一次成像即可直接获得。Facet-braiding是三维全景图像中一种很重要的视觉现象,该现象造成图像失真,影响了图像的观看效果。Ref.6中Martinez-Cuenca从单个元素图像的角度对该现象进行了分析,现从三维重建的角度对该现象的出现与否进行对比验证。先用光学软件模拟深度优先、参考平面在无穷远处的传统Ⅱ成像系统,然后在该模拟系统中进行对比实验,结果并未出现Ref.6中提到的facet-braiding现象。该结果对Ⅱ的视角分析、物体的精确三维重建及空间分辨率分析具有重要意义。 展开更多
关键词 三维全景图像 facet-braiding现象 元素图像 三维重建
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A STRUCTURAL ANALYSIS OF THREE-DIMENSIONAL BRAIDS
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作者 陈利 陶肖明 蔡忠龙 《Journal of China Textile University(English Edition)》 EI CAS 1997年第3期8-13,共6页
This paper describes a study of three-dimensional braids produced by a four-step 1 × 1 method. An analytical approach is employed in conjunction with experimental investigations to establish the relationship betw... This paper describes a study of three-dimensional braids produced by a four-step 1 × 1 method. An analytical approach is employed in conjunction with experimental investigations to establish the relationship between the braid structure and braiding parameters. Based on microscopic observations, we divide a three-dimensional braid structure into three representative regions, i.e., the interior, surface and corner, and treat the three regions, respectively. Three types of microstructural unit-cell models are then established. The surface characteristics and the relationship between the interior and surface unit-cells have been derived. Good agreement has been obtained between the calculated and measured values of fiber volume fraction of the braided composite samples. 展开更多
关键词 THREE-DIMENSIONAL braidS MICROSTRUCTURE braided COMPOSITES
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On Weak Braided T-category
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作者 史美华 贾玲 《Chinese Quarterly Journal of Mathematics》 2016年第3期248-259,共12页
Recently Turaev generalized the notion of a tensor category to that of a crossed group category.In[5]the authors constructed the representation category Rep(H) of a T-coalgebra H.In[2]the authors introduced the notion... Recently Turaev generalized the notion of a tensor category to that of a crossed group category.In[5]the authors constructed the representation category Rep(H) of a T-coalgebra H.In[2]the authors introduced the notions of a weak tensor category to characterize a weak bialgebra and a weak Hopf algebra.This paper is based on these ideas to naturally introduce the notions of a weak T-category and a weak braided T-category which are not under the usual way and prove that the categories of representations of a weak T-coalgebra and a weak braided T-coalgebra are a weak T-category and a weak braided T-category respectively.Furthermore we also discuss some properties of weak T-category. 展开更多
关键词 weak T-coalgebra braided weak T-coalgebra weak crossed group category braided weak crossed group category
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Electrical⁃Mechanical Coupling Behaviors and Thermal⁃Resistance Effects of 3D Braided Composites
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作者 BAI Lei XUE Yousong +2 位作者 SUN Baozhong GU Bohong HU Meiqi 《Journal of Donghua University(English Edition)》 CAS 2021年第5期385-391,共7页
Electrical-mechanical coupling behaviors and thermal-resistance effects of 3D braided composites under external loads are important for structural health monitoring(SHM). Electrical conductivity and electrical-mechani... Electrical-mechanical coupling behaviors and thermal-resistance effects of 3D braided composites under external loads are important for structural health monitoring(SHM). Electrical conductivity and electrical-mechanical coupling behaviors of 3D braided carbon fiber/epoxy composites under uniaxial tension were reported. It was found that the transverse resistance decreased and the axial resistance increased with the increasing braiding angle. The fractional change in resistance increased linearly as the strain was below 1.0%, and the nonlinearity appeared when the strain exceeded 1.0%. The negative temperature coefficient(NTC) effect was observed before the glass transition temperature Tg of epoxy resin, while there was a positive temperature coefficient(PTC) effect after Tg. 展开更多
关键词 3D braided composite braided angle electrical property thermal analysis
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Effects of Microstructure on Quasi⁃Static Transverse Loading Behavior of 3D Circular Braided Composite Tubes
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作者 ZHOU Haili LI Chao +3 位作者 HAN Chenchen LIU Zhiyan ZHOU Feng ZHANG Liquan 《Journal of Donghua University(English Edition)》 CAS 2021年第5期392-397,共6页
The effects of microstructure on quasi-static transverse loading behavior of 3D circular braided composite tubes were studied. Transverse loading tests were conducted. Transverse load-deflection curves were obtained t... The effects of microstructure on quasi-static transverse loading behavior of 3D circular braided composite tubes were studied. Transverse loading tests were conducted. Transverse load-deflection curves were obtained to analyze the effects of braiding parameters including the braiding angle, the wall thickness, and the diameter on the transverse loading of 3D circular braided composite tubes. Breaking loads, moduli and strengths had also been used to describe the transverse loading behaviors. The failure morphologies were shown to reveal damage mechanisms. From the results, the increase in braiding angle, wall thickness and diameter increases the ability of anti-deformation and breaking load of braided tubes. The breaking load of specimen with a braiding angle of 45° is about 1.68 times that of specimen with a braiding angle of 15°. The breaking load of specimen with 4 layers of yarns is about 2.15 times that of specimen with 2 layers of yarns. The breaking load of the tube with a diameter of 25.5 mm is about 2.39 times that of the tube with a diameter of 20.5 mm. 展开更多
关键词 3D circular braided composite tube quasi⁃static transverse loading test braiding parameter failure morphology
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Deployment Characteristics of Braid Coated Bi-Convex Tape and Bi-SMA Convex Tape Booms for Deployable Membrane Structures
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《Journal of Mechanics Engineering and Automation》 2014年第1期52-62,共11页
The purpose of this paper is to demonstrate and investigate the concepts of new deployable boom systems, which consist of the BCON (braid coated bi-convex tape) boom and the SMA-BCON (braid coated bi-shape memory a... The purpose of this paper is to demonstrate and investigate the concepts of new deployable boom systems, which consist of the BCON (braid coated bi-convex tape) boom and the SMA-BCON (braid coated bi-shape memory alloy convex tape) boom. Both booms are developed for the deployable membrane structures such as solar sails, thin membrane solar array panels, deorbit mechanisms for small satellites and reflectors of space solar power satellite, etc. BCON booms can store around polygonal or cylindrical center hub, and the booms can deploy by the stepwise manner by releasing a constraint mechanism which pins the boons into two or three points for the total length. SMA-BCON booms are mainly developed for a square center body systems, and SMA is adapted on the bent po^nts of the booms where stored around each edge of the center hub. Through the deployment experiments of both booms, the stepwise deployment behavior and its tendency are obtained. The design concept of BCON boom and SMA-BCON hnnm i~ demonstrated through this study. 展开更多
关键词 braid coated bi-convex tape boom braid coated bi-SMA convex tape boom membrane structures.
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Investigation on the Thermal Conductivity of 3-Dimensional and 4-Directional Braided Composites 被引量:24
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作者 Liu Zhenguo Zhang Haiguo Lu Zixing Li Diansen 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2007年第4期327-331,共5页
It is vital to choose a factual and reasonable micro-structural model of braided composites for improving the calculating precision of thermal property of 3-D braided composites by finite element method (FEM). On th... It is vital to choose a factual and reasonable micro-structural model of braided composites for improving the calculating precision of thermal property of 3-D braided composites by finite element method (FEM). On the basis of new microstructure model of braided composites proposed recently, the model of FEM calculation for thermal conductivity of 3-dimennsional and 4-directional braided composites is set up in this paper. The curves of coefficient of effective thermal conductivity versus fiber volume ratio and interior braiding angle are obtained. Furthermore, comparing the results of FEM with the available experimental data, the reasonability and veracity of calculation are confirmed at the same time. 展开更多
关键词 3-dimennsional and 4-directional braided composites thermal conductivity FEM
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Microstructure Analysis of 4-Step Three-Dimensional Braided Composite 被引量:13
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作者 郑锡涛 叶天麒 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2003年第3期142-150,共9页
The yarn architecture of 3-D braided composites products by the four-step 1×1 braiding technique has been studied by means of a control volume method in conjunction with experimental investigation and a numerical... The yarn architecture of 3-D braided composites products by the four-step 1×1 braiding technique has been studied by means of a control volume method in conjunction with experimental investigation and a numerical method, respectively. An ellipse assumption for the cross-section of yarn was proposed in this analysis method with considering the yarn size and yarn-packing factor. Two types of local unit cell structures were identified for 4-step braided composites by considering the nature of the braiding processes and by observing the sample cross-sections. The relationship between the braiding procedure and the properties for 3-D braided structural shapes was established. This method provides the basis for analyzing stiffness and strength of 3-D braided composites. 展开更多
关键词 COMPOSITES 3-D braided fabrics unit cell MICROSTRUCTURE packing factor
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