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Effect of self-ligating bracket appliance on the periodontal tissues in patients with chronic periodontitis after orthodontic treatment
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作者 Liu-Qing Yang Xiao-Dong Qu Yuan-Hua Tan 《Journal of Hainan Medical University》 2017年第4期161-163,共3页
Objective:To explore the effect of self-ligating bracket appliance on the periodontal tissues in patients with chronic periodontitis after orthodontic treatment.Methods:A total of 56 patients with chronic periodontiti... Objective:To explore the effect of self-ligating bracket appliance on the periodontal tissues in patients with chronic periodontitis after orthodontic treatment.Methods:A total of 56 patients with chronic periodontitis who were admitted in our hospital were included in the study and divided into the observation group and the control group according to different treatment protocols. The patients in the observation group were given self-ligating brackets, while the patients in the control group were given traditional brackets. The periodontal tissues and tooth motility (TM) before and after treatment in the two groups were observed and recorded. IL-1βand TNF-α levels in the gingival crervicular fluid (GCF) before and after treatment in the two groups were detected.Results:PD, CAL, SBI, and PLI after treatment in the two groups were significantly reduced, while GR was significantly elevated when compared with the control group. PD, CAL, SBI, and PLI after treatment in the observation group were significantly lower than those in the control group, while GR was significantly higher than that in the control group. TM after treatment in the two groups was significantly improved, among which the number of 0° TM was significantly increased, while the number ofⅠ°-Ⅲ°TM was significantly reduced. IL-1β and TNF-α levels in GCF after treatment in the two groups were significantly reduced when compared with before treatment. IL-1β and TNF-α levels in GCF after treatment in the observation group were significantly lower than those in the control group.Conclusions:The self-ligating brackets can effectively improve the periodontal tissues and TM in patients with chronic periodontitis, and reduce the levels of inflammatory cytokines in periodontal tissues, with an accurate efficacy. 展开更多
关键词 self-ligating bracketS CHRONIC PERIODONTITIS ORTHODONTICS PERIODONTAL status
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External apical root resorption and the release of interleukin-6 in the gingival crevucular fluid induced by a self-ligating system
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作者 Ryoko Kawashima-Ichinomiya Masaru Yamaguchi +5 位作者 Yasuhiro Tanimoto Masaki Asano Kunihiko Yamada Ryo Nakajima Shoji Fujita Kazutaka Kasai 《Open Journal of Stomatology》 2012年第2期116-121,共6页
The aim of this study was to investigate the amount of external apical root resorption (EARR) and the release of interleukin (IL)-6 in the gingival crevicular fluid (GCF) in subjects treated with a low-force low-frict... The aim of this study was to investigate the amount of external apical root resorption (EARR) and the release of interleukin (IL)-6 in the gingival crevicular fluid (GCF) in subjects treated with a low-force low-friction system. Sixty patients were assigned to two groups of thirty patients for each: one group received treatment with self-ligating brackets and the other with conventional ligated edgewise brackets. All patients were treated with extraction of the maxillary first premolars. The EARR of the maxillary central incisors was evaluated on the periapical radiographs and cephalograms, taken before and after orthodontic treatment. The GCF was also collected non-invasively from the mesial and distal sides of central incisors by using filter paper strips before and after orthodontic treatment. Enzyme-linked immunosorbent assay (ELISA) kits were used to determine the IL-6 levels in the GCF samples. A significant difference was found in the amount of EARR between the patients with self-ligating brackets and conventional brackets. The mean amount of EARR was significantly lower for self-ligating brackets than conventional brackets (p < 0.05). The GCF levels of IL-6 for the patients with self-ligating brackets appliance were significantly lower than for those with the conventional brackets (p < 0.05). These results show that the mean amount of EARR and the GCF levels of IL-6 were significantly lower in the patients treated using low-force low-friction appliances than conventional brackets. Therefore, self-ligating brackets may be a useful system for reducing inflammation and EARR. 展开更多
关键词 IL-6 GINGIVAL Crevucular FLUID EXTERNAL Apical Root RESORPTION self-ligating bracketS
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Effect of Dietary Components on the Shear Bond Strength of Orthodontics Brackets after Thermal Aging
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作者 Philip Punzalan Tanya Al Talib +1 位作者 Anthony Fusco Neamat Hassan Abubakr 《Open Journal of Stomatology》 2024年第6期309-315,共7页
Introduction: The stability of orthodontic brackets throughout orthodontic treatment plays a critical role in the treatment’s effectiveness. The present in vitro study was designed to assess the impact of various die... Introduction: The stability of orthodontic brackets throughout orthodontic treatment plays a critical role in the treatment’s effectiveness. The present in vitro study was designed to assess the impact of various dietary components on the performance of orthodontic brackets. Methods: Metal orthodontic brackets were bonded to 66 extracted anterior teeth divided into groups based on the solution type: Milk, Gatorade, Cold Coffee, and a control group using water. Each group consisted of 20 teeth except for the control group, which included six teeth. The bracketed teeth were submerged in their respective solutions for 15 minutes three times daily at different intervals to mimic an in vivo environment and were stored in artificial saliva at room temperature (23?C). The specimens underwent artificial aging through 10,000 cycles of thermocycling (representing one clinical year) between 5?C and 55?C. Shade measurements were taken using a VITA Easy Shade device, capturing the classic shade and L*, a*, and b* values. Delta E values were calculated immediately post-bonding and after 7 days, 1 month, 1, and 2 clinical years. The shear bond strength of each bracket was measured using an ultra-tester machine. Results: After two clinical years, significant differences in ΔE color values were observed across all groups, with the most substantial change noted in teeth immersed in cold coffee. Brackets submerged in milk demonstrated lower shear bond strength than other solutions, whereas the control group exhibited the highest shear bond strength (P = 0.01). Conclusion: The study indicates that dietary components significantly influence tooth color stability and the shear bond strength of orthodontic brackets, underscoring the importance of considering these factors in orthodontic treatment planning. 展开更多
关键词 Shear Bond Orthodontic brackets Color Stability Thermal Aging
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Research and Analysis on Anti-corrosion of Mountain Photovoltaic Brackets
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作者 Aijun LIN Junwen TANG 《Asian Agricultural Research》 2024年第9期19-22,共4页
With the increasing global demand for renewable energy,solar photovoltaic power generation technology has been widely applied in China and even globally.Especially in mountainous areas,complex terrain resources are cl... With the increasing global demand for renewable energy,solar photovoltaic power generation technology has been widely applied in China and even globally.Especially in mountainous areas,complex terrain resources are cleverly utilized in the construction of photovoltaic power stations,but this also brings severe challenges to the anti-corrosion of photovoltaic brackets.This paper focuses on the anti-corrosion technology of mountain photovoltaic brackets,and deeply explores the influence of natural factors such as mountain climate,sandstorms,and precipitation on the corrosion of photovoltaic brackets.The research results show that the key to improving anti-corrosion performance lies in the selection of bracket materials and optimization of coating processes.After comparing various anti-corrosion treatment methods such as hot-dip galvanizing,spray aluminum coating,and new anti-corrosion materials,it is found that nano coating technology exhibits excellent protective effects in corrosive environments.This study is of great significance for promoting the sustainable development of photovoltaic power generation,providing solid theoretical support and practical guidance for the anti-corrosion design of mountain photovoltaic power stations. 展开更多
关键词 Mountain photovoltaic bracket CORROSION Nano coating
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Design and Optimization of Solar Photovoltaic Brackets in Mountainous Areas Adapted to Complex Wind Environments
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作者 Aijun LIN Junwen TANG 《Asian Agricultural Research》 2024年第12期22-25,共4页
With the increasing global demand for renewable energy,the application of photovoltaic power generation in mountainous areas is gradually increasing.However,the complex wind environment in mountainous areas poses seve... With the increasing global demand for renewable energy,the application of photovoltaic power generation in mountainous areas is gradually increasing.However,the complex wind environment in mountainous areas poses severe challenges to the design and optimization of solar photovoltaic brackets.Traditional design methods are difficult to cope with the changeable wind speed and direction in mountainous areas,resulting in structural instability or material waste.Researchers have identified the key factors affecting wind response through parametric research and dynamic wind response analysis,so as to optimize the brackets design and improve its adaptability and stability in complex wind environments.In this paper,the complexity of wind speed,wind direction and turbulence characteristics in mountainous areas and their influence on brackets design are explored.Through static and dynamic wind load analysis,the geometrical shape and material selection of the bracket are optimized to enhance its wind resistance.The application of multi-objective optimization model and intelligent optimization algorithm provides an effective solution for the design of solar photovoltaic brackets,ensuring their safety and reliability in complex wind environments. 展开更多
关键词 Solar photovoltaic brackets Complex wind environment Optimization design Intelligent optimization algorithm
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Application Strategies of the Bracket Set in Modern Architectural Design
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作者 Yajuan Liu 《Journal of Architectural Research and Development》 2024年第2期68-74,共7页
The Bracket Set(dougong)is an important aspect of traditional Chinese architecture known for its exquisite structure,complexity,and rich variations.This design element has been used since the Qin and Han Dynasties and... The Bracket Set(dougong)is an important aspect of traditional Chinese architecture known for its exquisite structure,complexity,and rich variations.This design element has been used since the Qin and Han Dynasties and is still prevalent today.It highlights hierarchy and spiritual connotations in the design of a building.This article explores the application of Bracket Set elements in modern architectural design.It analyzes the specific application strategies of this design element,highlighting its value in modern architecture.The goal is to provide modern architectural designers with multiple perspectives and strategies to fully utilize the advantages of Bracket Set elements in architectural design and enhance the artistic value of their work. 展开更多
关键词 bracket Set elements Architectural design Stressed components Decorative components
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BracKet间接粘着法的临床应用
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作者 阮克匀 《实用医技杂志》 2007年第34期4731-4732,共2页
目的:提高固定矫治器中BracKet的粘接精度,使矫治器发挥最佳矫治疗效。方法:先将BracKet精确地粘接在石膏模型上,后用0.5 mm胶模制做转移模托,将BracKet再转移到模托上。最终将BracKet精确地粘着于牙面上。结果:通过临床观察证明BracKe... 目的:提高固定矫治器中BracKet的粘接精度,使矫治器发挥最佳矫治疗效。方法:先将BracKet精确地粘接在石膏模型上,后用0.5 mm胶模制做转移模托,将BracKet再转移到模托上。最终将BracKet精确地粘着于牙面上。结果:通过临床观察证明BracKet间接粘着法克服了直接粘着法中BracKet位置不准确,BracKet的粘接高度和角度不易控制的缺点,能使BracKet精确地粘与牙面。结论:随着固定矫治器的不断发展,临床上对BracKet的粘着精度越来越高,为了达到此目标,提高矫治疗效,采用BracKet间接粘着法将托槽的粘着精度大大提高。 展开更多
关键词 bracket 间接粘着 临床应用
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高精度铅同位素比值MC-ICP-MS测试方法及土壤标准物质铅同位素组成
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作者 黄国锋 王中伟 +2 位作者 谢志宜 刘军 陈多宏 《分析测试学报》 CAS 北大核心 2025年第1期116-125,共10页
利用多接收电感耦合等离子体质谱仪(MC-ICP-MS)精准测定了国家土壤标准物质的铅同位素比值,研究了MC-ICP-MS测定铅同位素时的分馏效应,发现仪器存在非质量分馏效应,应用Baxter法和标准与实际样品的交叉组合法(SSB)校正仪器的质量和非质... 利用多接收电感耦合等离子体质谱仪(MC-ICP-MS)精准测定了国家土壤标准物质的铅同位素比值,研究了MC-ICP-MS测定铅同位素时的分馏效应,发现仪器存在非质量分馏效应,应用Baxter法和标准与实际样品的交叉组合法(SSB)校正仪器的质量和非质量分馏,校正后NIST SRM 981标准溶液的铅同位素比值具有较高的准确度和精确度。采用MC-ICP-MS测定了3个国家土壤标准物(GBW07564、GBW07406a、GBW07980)的铅同位素比值。对土壤进行微波消解和纯化,回收率大于98%,全流程空白小于0.22 ng。GBW07564铅同位素的^(206)Pb/^(204)Pb为19.9603±0.0303、^(207)Pb/^(204)Pb为15.7675±0.0061、^(208)Pb/^(204)Pb为39.0868±0.0264(n=9,2SD);GBW07406a铅同位素的^(206)Pb/^(204)Pb为18.8024±0.0018、^(207)Pb/^(204)Pb为15.7442±0.0025、^(208)Pb/^(204)Pb为39.1943±0.0086(n=9,2SD);GBW07980铅同位素的^(206)Pb/^(204)Pb为18.6142±0.0057、^(207)Pb/^(204)Pb为15.7378±0.0044、^(208)Pb/^(204)Pb为38.9629±0.0153(n=9,2SD)。这些土壤标准物质的^(206)Pb/^(207)Pb分别为1.2659±0.0014、1.1942±0.0001、1.1828±0.0001(n=9,2SD),^(208)Pb/^(206)Pb分别为1.9582±0.0018、2.0845±0.0003、2.0932±0.0002(n=9,2SD),大致在自然界土壤铅同位素^(206)Pb/^(207)Pb(大于1.17)、^(208)Pb/^(206)Pb(小于2.11)变化范围内,且容易获得,化学和铅同位素组成均一,适合作为监控土壤铅同位素化学及质谱分析数据可靠性的同位素土壤标准物质。 展开更多
关键词 土壤标准物质 铅同位素 多接收电感耦合等离子体质谱(MC-ICP-MS) Baxter法 标准与实际样品的交叉组合法(SSB) 非质量分馏
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深厚软土且空间受限条件下桩板结构现浇梁支架方案设计
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作者 栗帅武 《价值工程》 2025年第1期82-85,共4页
桩板结构具有结构简单、受力明确等优点,能够减少材料用量,降低工程造价,在跨越小面积的河流、道路或其他交通设施时,得到广泛使用。莲鹤大道项目与珠肇高铁并行段,设计采用桩板结构桥梁,共计3100m,地质条件复杂,淤泥质软土深厚,梁底距... 桩板结构具有结构简单、受力明确等优点,能够减少材料用量,降低工程造价,在跨越小面积的河流、道路或其他交通设施时,得到广泛使用。莲鹤大道项目与珠肇高铁并行段,设计采用桩板结构桥梁,共计3100m,地质条件复杂,淤泥质软土深厚,梁底距离地面空间受限,现浇梁施工难度大。设计方建议采用贝雷梁+工字钢结构形式支架方案,由于部分梁底距离地面净空不足,该方案向下反开挖最多达3.0m,施工工效低,投入大。本文针对不同净空条件,研究了三种支架结构,满足共线段3.1km桩板结构现浇梁施工,提高了施工工效,降低了施工成本,为后续类似工程提供了参考。 展开更多
关键词 桩板结构 深厚软土 空间受限 支架现浇
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Research on semi-solid thixoforming process of AZ91D magnesium alloy brackets for generators in JH70-type motorbikes 被引量:9
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作者 WANG Kai LIU Changming +2 位作者 HAN Zhaotang CAO Jianyong ZHANG Zonghe 《Rare Metals》 SCIE EI CAS CSCD 2005年第4期381-391,共11页
The investment on semi-solid die casting processes of AZ91D magnesium alloy brackets for generators in JH70-type motorbikes is introduced. The processes of low super-heat and cooling slope for the preparation of bille... The investment on semi-solid die casting processes of AZ91D magnesium alloy brackets for generators in JH70-type motorbikes is introduced. The processes of low super-heat and cooling slope for the preparation of billets with non-dendritic microstructure, the remelting of billets for thixoforming and the parameters in the process of semi-sohd thixoforming have been researched. The results show that primary billets with non-dendritical structures can be prepared by forming great amount of nuclei in melt via the process of low super heat. By optimizing the remelting process through adjusting the current of the induced equipment, semi-solid billets with a structure of spherical grains were obtained from the primary billets with non-dendritical structure. The range of 580℃ to 583℃ is the proper remelting temperatures by which the billets have an expected thixotropy and can be transferred to a die-casting machine. The optimized parameters of semi-solid forming in a die-casting machine are as follows: the area of the ingate in the die is 383.5 mm^2, the speed of the pierce of the machine 5 m/s, the shot pressure of the pierce 75 MPa, and the maintenance pressure of the pierce 350 MPa. The castings of brackets for supporting generators in JH70 type motorbikes were formed by adopting the optimized processes and parameters mentioned above. 展开更多
关键词 SEMI-SOLID THIXOFORMING AZ91D magnesium alloy bracket motorbike
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Numerical simulation and optimization of shell mould casting process for leaf spring bracket 被引量:2
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作者 Ji-guang Liu Lei Yang +4 位作者 Xiao-gang Fang Bin Li You-wen Yang Li-zhi Fang Zheng-bing Hu 《China Foundry》 SCIE 2020年第1期35-41,共7页
Although the shell mould casting process has a wide range of application in many fields,the prediction of casting defects is still a problem.In the present work,a typical leaf spring bracket casting of ZG310-570 was f... Although the shell mould casting process has a wide range of application in many fields,the prediction of casting defects is still a problem.In the present work,a typical leaf spring bracket casting of ZG310-570 was fabricated by shell mold casting.The finite element model and ProCAST software were utilized for simulating the filling and solidification processes of the casting;and the formation mechanism of the gas pore,and shrinkage porosity defects were analyzed.The results indicate that the gas pore and shrinkage porosity defects are formed due to air entrapment,insufficient feeding and non-sequential solidification.Subsequently,through changing the position of risers,adding a connecting channel between the risers,and setting blind risers at the U-shaped brackets,an optimized gating and feeding system was established to improve the quality of the casting.After optimization,the gas pore and shrinkage porosity defects of the leaf spring bracket casting are effectively eliminated.The experiment results with the optimized casting process are in good agreement with the numerical simulation,which verifies the validity of the finite element model in the shell mould casting. 展开更多
关键词 shell mould casting numerical simulation leaf spring bracket process optimization
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Structural Stress Monitoring and FEM Analysis of the Cutting Operation of the Main Bracket of A Semi-Submersible Platform 被引量:1
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作者 KOU Yu-feng YANG Jian-min +3 位作者 XU Sheng-wen PENG Tao LIU Jun WU Zhuo-wei 《China Ocean Engineering》 SCIE EI CSCD 2019年第6期649-659,共11页
For a semi-submersible platform in repair, the eight old main brackets which connect columns with pontoons need to be replaced by new ones. In order to ensure the safety of the cutting operation of the old main bracke... For a semi-submersible platform in repair, the eight old main brackets which connect columns with pontoons need to be replaced by new ones. In order to ensure the safety of the cutting operation of the old main bracket and calculate the initial stress condition of new main bracket, the structural stress monitoring of eight key spots is carried out, and then the calibrated finite element model is established according to the field monitoring results. Before cutting the main bracket and all associated structures, eight rectangular rosettes were installed, and a tailored cutting scheme was proposed to release the initial stress, in which the main bracket and associated column and pontoon plates were partly cut. During the cutting procedure, the strains of the monitoring spots were measured, and then the structural stress of the monitored spots were obtained. The stress variation characteristics at different spots during the initial cutting operation were shown and the initial stress condition of the monitored spots was figured out. The loading and support conditions of the semi-submersible platform were calibrated based on the measured initial stress condition, which made the finite element model more credible. The stress condition with the main bracket and associated structures being entirely cut out is analyzed by the Finite Element Method (FEM), which demonstrates the cutting operation to be safe and feasible. In addition, the calibrated finite element model can be used to calculate the initial stress condition of the new main bracket, which will be very helpful for the long-term stress monitoring on the main bracket. 展开更多
关键词 semi-submersible platform main bracket cutting operation field stress monitoring FEM analysis
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The Evaluation of a Resin-modified Glass Ionome Cement for Bonding Orthodontic Brackets
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作者 李福军 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2009年第6期986-991,共6页
To evaluate the shear bond strength(SBS) and bond failure interface after the debonding of orthodontic brackets with a resin-modified glass ionomer cement(RMGIC) under six bonding conditions, 140 premolar teeth we... To evaluate the shear bond strength(SBS) and bond failure interface after the debonding of orthodontic brackets with a resin-modified glass ionomer cement(RMGIC) under six bonding conditions, 140 premolar teeth were randomly divided into seven groups. The brackets of all groups, except for control group, were bonded using a RMGIC. The teeth were debonded using a universal testing machine. The shear bond strength, adhesive remnant index (ARI) and enamel fracture were examined for each debonding. A significant difference existed in SBS under wet and dry conditions in two groups of Fuji Ortho LC. Different degree of enamel fracture was seen in groups of Fuji Ortho LC(dry/37% phosphoric acid treated) after debonding. Bond failed predominantly at the enamel-adhesive interface, except for phosphoric acid treated groups. The RMGIC achieve a clinically effective adhesion in orthodontics under different bonding conditions. 展开更多
关键词 EVALUATION resin-modified glass ionomer BONDING bracketS
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Clinical assessment of demineralization and remineralization surrounding orthodontic brackets with FluoreCam
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作者 Bora Korkut Duygu Korkut +1 位作者 Funda Yanikoglu Dilek Tagtekin 《Asian Pacific Journal of Tropical Biomedicine》 SCIE CAS 2017年第4期373-377,共5页
Objective: To determine quantitatively the amount of demineralization and the ability of commercially available products and an experimental cream to inhibit or reverse orthodontic related demineralization.Methods: A ... Objective: To determine quantitatively the amount of demineralization and the ability of commercially available products and an experimental cream to inhibit or reverse orthodontic related demineralization.Methods: A total of 20 patients who were 25–35 years old and having orthodontic treatment for 6–8 months were chosen.Caries risk assessments were done for each patient and ones with "moderate risk" were included.Patients with fixed orthodontic appliances were divided into 4 groups(5 patients each) including one control and 3 study groups.All patients used same toothpaste 2 times a day during the 3 weeks study period.Additional to the toothpaste first study group used MI Paste Plus(GC, Tokyo, Japan), second study group used Remin Pro(Voco, Cuxhaven, Germany) and third group used an experimental remineralizing cream per day for 3 weeks.Maxillary central and lateral incisors of each patient were examined by FluoreCam(Daraza Therametric Technologies, USA) device.The examinations were performed at baseline and at the end of 1st, 2nd and 3rd weeks.Results: According to the FluoreCam measurements the control group showed significant amount of demineralization at the end of 3 weeks, moreover the amount of demineralization has gradually increased in time.At the end of the study all 3 study groups showed significant amount of remineralization and the amount of remineralization for all the 3 study groups has gradually increased in time.However the amount of remineralization for 3rd study group was lesser than the 1st and 2nd study groups.The remineralization amounts for the 1st and 2 nd study groups were determined to be identical.Conclusions: This study demonstrated that demineralization is measurable around orthodontic brackets and the demineralization can be completely inhibited and/or reversed by the use of commercially available remineralization products. 展开更多
关键词 DEMINERALIZATION REMINERALIZATION FluoreCam Orthodontic brackets MI Paste Plus Remin Pro
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Fatigue Life Analysis of the Hoist Bracket for Rescue Helicopters
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作者 刘志杰 王礼钊 +1 位作者 林成新 熊伟 《Journal of Donghua University(English Edition)》 EI CAS 2015年第6期910-913,共4页
Helicopter rescue has become an important way of life and property relief in modern society.The structure and parameters of the helicopter hoist bracket influence the convenience,safety and reliability of the rescue o... Helicopter rescue has become an important way of life and property relief in modern society.The structure and parameters of the helicopter hoist bracket influence the convenience,safety and reliability of the rescue operation for the lifeguard and hoistman.Based on fatigue analysis theory and ANSYS workbench software,the fatigue life analysis of the hoist bracket is carried out.First,the structure of the hoist bracket is modeled according to the body standard of the hoistman and lifeguard.Then an approach is presented to obtain the S-N curve of the hoist bracket by modifying the S-N curve of the bracket material based on Goodman curve while considering the influences of the shape,size,surface state,loading conditions and the average stress.Further,based on the ANSYS workbench analysis,the life and safety nephogram of the bracket under the fluctuating cyclic load can be obtained.Finally,the designed bracket is analyzed with the proposed method.The cycles number of the bracket is greater than 107 under the extreme conditions of the pulsating cyclic load,which may be considered as the unlimited life and meets the requirement of the fatigue strength. 展开更多
关键词 rescue helicopter hoist bracket fatigue life ANSYS workbench
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A Recursive Approach to the Kauffman Bracket
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作者 Abdul Rauf Nizami Mobeen Munir +1 位作者 Umer Saleem Ansa Ramzan 《Applied Mathematics》 2014年第17期2746-2755,共10页
We introduce a simple recursive relation and give an explicit formula of the Kauffman bracket of two-strand braid link . Then, we give general formulas of the bracket of the sequence of links of three-strand braids . ... We introduce a simple recursive relation and give an explicit formula of the Kauffman bracket of two-strand braid link . Then, we give general formulas of the bracket of the sequence of links of three-strand braids . Finally, we give an interesting result that the Kauffman bracket of the three-strand braid link is actually the product of the brackets of the two-strand braid links and . Moreover, a recursive relation for is also given. 展开更多
关键词 RECURSIVE RELATION Kauffman bracket BRAID LINK
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The Mod 2 Kauffman Bracket Skein Module of Thickened Torus
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作者 Yan Xin-ming Sun Meng 《Communications in Mathematical Research》 CSCD 2018年第1期89-96,共8页
Framed links in thickened torus are studied. We define the mod 2 Kauffman bracket skein module of thickened torus and give an expression of a framed link in this module. From this expression we propose a new ambient i... Framed links in thickened torus are studied. We define the mod 2 Kauffman bracket skein module of thickened torus and give an expression of a framed link in this module. From this expression we propose a new ambient isotopic invariant of framed links. 展开更多
关键词 framed link thickened torus mod 2 Kauffman bracket skein module
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Fatigue Crack Analysis on the Bracket of Sanding Nozzle of CRH5 EMU Bogie
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作者 Delong Fu Tao Zhang 《Journal of Applied Mathematics and Physics》 2015年第5期577-583,共7页
Aiming at the fracture of the bracket of sanding nozzle of CRH5 EMU bogie, the fatigue strength analysis and modal analysis of the bracket were conducted according to En13749 and BS7608 standards, and the track excita... Aiming at the fracture of the bracket of sanding nozzle of CRH5 EMU bogie, the fatigue strength analysis and modal analysis of the bracket were conducted according to En13749 and BS7608 standards, and the track excitation during the vehicle running was thoroughly analyzed. The cause leading to the fracture of the bracket was found and the bracket was redesigned. 展开更多
关键词 bracket of SANDING NOZZLE Model ANALYSIS TRACK Excitation
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Topology Optimization Design of Automotive Engine Bracket
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作者 Po Wu Qihua Ma +1 位作者 Yiping Luo Chao Tao 《Energy and Power Engineering》 2016年第4期230-235,共6页
According to the structural characteristics of the automobile engine bracket, the finite element model of the bracket is established. As the connecting part between the engine and the body, the performance requirement... According to the structural characteristics of the automobile engine bracket, the finite element model of the bracket is established. As the connecting part between the engine and the body, the performance requirements of the automobile engine bracket affect the comfort and the safety of the vehicle directly. Using the RADIOSS solver, the dangerous point of the bracket is analyzed. Under the premise of ensuring its reliability, with the help of OptiStruct software to carry out the topology optimization design, to get the optimal material distribution of the bracket and the final design will meet the performance requirements. 展开更多
关键词 Engine bracket Optimal Material Distribution Topology Optimization
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Fatigue Magnification Factors of Arc-Soft-Toe Bracket Joints
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作者 FU Qiang LI Huajun +4 位作者 WANG Hongqing WANG shuqing LI Dejiang LI Qun FANG Hui 《Journal of Ocean University of China》 SCIE CAS CSCD 2018年第3期527-534,共8页
Arc-soft-toe bracket(ASTB), as a joint structure in the marine structure, is the hot spot with significant stress concentration, therefore, fatigue behavior of ASTBs is an important point of concern in their design. S... Arc-soft-toe bracket(ASTB), as a joint structure in the marine structure, is the hot spot with significant stress concentration, therefore, fatigue behavior of ASTBs is an important point of concern in their design. Since macroscopic geometric factors obviously influence the stress flaws in joints, the shapes and sizes of ASTBs should represent the stress distribution around cracks in the hot spots. In this paper, we introduce a geometric magnification factor for reflecting the macroscopic geometric effects of ASTB crack features and construct a 3D finite element model to simulate the distribution of stress intensity factor(SIF) at the crack endings. Sensitivity analyses with respect to the geometric ratio Ht/Lb, R/Lb, Lt/Lb are performed, and the relations between the geometric factor and these parameters are presented. A set of parametric equations with respect to the geometric magnification factor is obtained using a curve fitting technique. A nonlinear relationship exists between the SIF and the ratio of ASTB arm to toe length. When the ratio of ASTB arm to toe length reaches a marginal value, the SIF of crack at the ASTB toe is not influenced by ASTB geometric parameters. In addition, the arc shape of the ASTB slope edge can transform the stress flowing path, which significantly affects the SIF at the ASTB toe. A proper method to reduce stress concentration is setting a slope edge arc size equal to the ASTB arm length. 展开更多
关键词 Arc-soft-toe bracket stress intensity factor geometric magnification factors
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