• 제목/요약/키워드: Three Point Bending

검색결과 489건 처리시간 0.026초

Experimental and theoretical behaviour analysis of steel suspension members subjected to tension and bending

  • Kmet, Stanislav;Tomko, Michal;Bin, Molinne
    • Steel and Composite Structures
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    • 제13권4호
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    • pp.343-365
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    • 2012
  • Steel suspension members subjected to tension and bending offer an economical and efficient alternative for many structural problems. This paper is concerned with the elastic and elastic-plastic behaviour of suspension members with bending stiffness subjected to vertical point and uniformly distributed loads. An experimental study is described which focuses on the response of three suspension members with various T-shaped steel hot rolled sections and geometric configurations. The tests enable direct assessment of the influence of a key parameter such as the sag-to-span ratio on the response of suspension members. Detailed nonlinear finite-element models are generated to provide a tool for theoretical analyses and to facilitate further understanding of the behaviour. Results demonstrate that experimentally obtained responses can generally be closely predicted numerically because there are relatively good agreements between finite element and tests results. The results and observations of subsequent numerical parametric studies offer an insight into the key factors that govern the behaviour of suspension members with bending stiffness in the elastic-plastic range.

Ball Grid Array 보드 어셈블리의 동적굽힘 신뢰성에 미치는 언더필의 영향 (Effects of Underfills on the Dynamic Bending Reliability of Ball Grid Array Board Assembly)

  • 장재원;방정환;유세훈;김목순;김준기
    • 한국재료학회지
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    • 제21권12호
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    • pp.650-654
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    • 2011
  • In this paper, the effects of conventional and newly developed elastomer modified underfill materials on the mechanical shock reliability of BGA board assembly were studied for application in mobile electronics. The mechanical shock reliability was evaluated through a three point dynamic bending test proposed by Motorola. The thermal properties of the underfills were measured by a DSC machine. Through the DSC results, the curing condition of the underfills was selected. Two types of underfills showed similar curing behavior. During the dynamic bending reliability test, the strain of the PCB was step increased from 0.2% to 1.5% until the failure circuit was detected at a 50 kHz sampling rate. The dynamic bending reliability of BGA board assembly using elastomer modified underfill was found to be superior to that of conventional underfill. From mechanical and microstructure analyses, the disturbance of crack propagation by the presence of submicron elastomer particles was considered to be mainly responsible for that result rather than the shear strength or elastic modulus of underfill joint.

굽힘 하중을 받는 평직물 CFRP 직교 격자 쉘의 점진적 손상 해석 (Progressive Damage Analysis of Plain Weave Fabric CFRP Orthogonal Grid Shell Under Bending Load)

  • 임성준;백상민;김민성;박민영;박찬익
    • 한국항공우주학회지
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    • 제47권4호
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    • pp.256-265
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    • 2019
  • 본 논문에서는 평직물 CFRP로 제작한 직교 격자 쉘의 굽힘 하중에 의한 점진적 손상 연구를 수행하였다. 직교 격자는 복합재 바닥면과 함께 경화하여 제작하였다. 굽힘을 받는 직교 격자 쉘의 점진적 손상 해석은 Hashin-Rotem 파손 기준과 Matzenmiller-Lubliner-Taylor (MLT) 모델으로 비선형 유한요소법을 이용하여 수행하였다. 또한, 직교 격자 쉘에 대한 3점 굽힘 시험을 수행하였으며, 시험 결과와 해석 결과를 비교하였다. 변형률과 변위에 대한 시험과 해석 결과는 유사하게 나타났다. 손상 영역은 점진적 손상 해석으로 예측하였으며, 육안 검사와 초음파 비파괴 검사를 통해 측정한 결과와 비교하였다.

니켈-티타늄 와이어의 열처리에 따른 부하-변위 특성 변화 (Effects of heat treatment on the load-deflection properties of nickel-titanium wire)

  • 장수호;김광원;임성훈
    • 대한치과교정학회지
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    • 제36권5호
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    • pp.349-359
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    • 2006
  • 니켈-티타늄 합금은 높은 spring-back성질, 초탄성 효과, 형상기억 효과 등의 장점을 가지고 있으나 성형이 어렵다는 단점을 가지고 있다. 본 연구에서는 니켈-티타늄 와이어의 굴곡을 위한 열처리 시에 나타나는 부하-변위 곡선의 변화 및 상전이 온도 변화와 같은 물성 변화 양상을 조사하고자 하였다. 수종의 니켈-티타늄 와이어를 열처리를 시행하지 않은 군, 전기저항 열처리 장치를 이용하여 와이어 단면적에 따라 제조회사에서 권장하는 전류를 기초로 하여 $00.016"\;{\times}\;00.022"$ (5 A, 7 sec), $0.018"\;{\times}\;0.025"$ (6 A, 7 sec) 그리고 $0.0215"\;{\times}\;0.028"$ (7 A, 8 sec) 와이어를 열처리만 시행한 실험군, 열처리를 시행하여 굴곡을 부여한 실험군 그리고 열처리 시간을 1초 증가시켜 굴곡을 부여한 실험군으로 분류하여 3점 굴곡 실험과 시차주사열량측정을 하여 다음과 같은 결과를 얻었다. $0.016"\;{\times}\;0.022"$, $0.018"\;{\times}\;0.025"$ 그리고 $0.0215"\;{\times}\;0.028"$ 니켈-티타늄 와이어에서 굴곡을 부여하지 않고 열처리만 시행한 실험군이 열처리를 시행하지 않은 대조군에 비해 부하-변위 곡선이 상방 이동되어 초탄성 현상에 의한 평탄역(loading and unloading plateau)의 힘이 더 증가되었다. $0.016"\;{\times}\;0.022"$, $0.018"\;{\times}\;0.025"$ 그리고 $0.0215"\;{\times}\;0.028"$ 와이어에서 열처리만 시행한 실험군이 열처리를 시행하지 않은 군보다 더 낮은 austenite finish ($A_f$) 온도를 보였다. $0.018"\;{\times}\;0.025"$$0.0215"0.028"$ 와이어에서 열처리를 시행하여 굴곡을 부여한 실험군은 열처리만 시행한 실험군과 열처리를 시행하지 않은 대조군에 비해 부하-변위 곡선이 상방 이동되었으며, 열처리 시간을 1초 증가시켜 굴곡을 부여한 실험군에서 가장 높은 부하-변위 곡선을 나타냈다. $0.018"\;{\times}\;0.025"$ 그리고 $0.0215"\;{\times}\;0.028"$ 와이어에서 $A_f$ 온도는 열처리 시간을 1초 증가시켜 굴곡을 부여한 실험군에서 가장 낮게 관찰되었고 열처리를 시행하여 굴곡을 부여한 실험군, 열처리만 시행한 실험군 그리고 열처리를 시행하지 않은 대조군 순으로 높게 관찰되었다. 이상의 결과를 종합할 때, 임상에서 니켈-티타늄 합금 와이어에 굴곡을 부여하기 위해 열처리하는 경우 초탄성 특성은 유지될 수 있으나, 부하-변위 곡선의 상방 증가가 나타나므로, 와이어에 의한 교정력이 증가될 수 있음에 유의하여야 한다.

새로운 박판샌드위치 판재의 삼점굽힘거동 (Mechanical Behavior of New Thin Sandwich Panel Subjected to Bending)

  • 이정인;강기주
    • 대한기계학회논문집A
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    • 제37권4호
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    • pp.529-535
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    • 2013
  • 알루미늄 확장 금속망 심재와 스테인리스강 면재를 에폭시 수지로 접합하여 제조되는 새로운 박판샌드위치 판재의 제조방법을 제시하고 이의 굽힘 거동을 조사하였다. 강도 및 강성도에 대한 이론해를 제시하고 실험을 통하여 프레스 성형성과 굽힘강도 증대효과 등을 평가하였다. 제시된 제조방법과 재료조합에서 삼점굽힘 하중 작용 시 면재-심재 접착부 분리 현상보다 면재의 항복이 훨씬 조기에 발생하여 본 샌드위치 판재의 우수성을 확인하였다. 샌드위치 판재의 강성도 및 면재 항복이 발생하는 하중과 접착부 분리 하중 등에 대하여 유도된 이론식이 실험 결과와 비교적 잘 일치하였다. 동일한 무게를 갖는 균질 판재와 비교하여 강도와 강성도면에서 월등하고 프레스 성형성도 우수할 것으로 평가되었다.

有限要素法에 의한 舶用機關軸系裝置의 最適配置에 關한 硏究 (Optimum Alignment of Marine Engine Shaftings by the Finite Element Method)

  • 전효중;박진길;최재성
    • Journal of Advanced Marine Engineering and Technology
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    • 제2권1호
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    • pp.3-14
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    • 1978
  • The authors have developed a calculating method of propeller shaft alignment by the finite element method. The propeller shaft is divided into finite elements which can be treated as uniform section bars. For each element, the nodal point equation is derived from the stiffness matrix, the external force vector and the section force vector. Then the overall nodal point equation is derived from the element nodal point equation. The deflection, offset, bending moment and shearing force of each nodal point are calculated from the overall nodal point equation by the digital computer. Reactions and deflections of supporting points of straight shaft are calculated and also the reaction influence number is derived. With the reaction influence number the optimum alignment condition that satisfies all conditions is calculated by the simplex method of linear programming. All results of calculation are compared with those of Det norske Veritas, which has developed a computor program based on the three-moment theorem of the strength of materials. The authors finite element method has shown good results and will be used effectively to design the propeller shaft alignment.

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Numerical simulation of concrete beams reinforced with composite GFRP-Steel bars under three points bending

  • Elamary, Ahmed S.;Abd-ELwahab, Rafik K.
    • Structural Engineering and Mechanics
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    • 제57권5호
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    • pp.937-949
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    • 2016
  • Fiber reinforced polymer (FRP) applications in the structural engineering field include concrete-FRP composite systems, where FRP components are either attached to or embedded into concrete structures to improve their structural performance. This paper presents the results of an analytical study conducted using finite element model (FEM) to simulate the behavior of three-points load beam reinforced with GFRP and/or steel bars. To calibrate the FEM, a small-scale experimental program was carried out using six reinforced concrete beams with $200{\times}200mm$ cross section and 1000 mm length cast and tested under three point bending load. The six beams were divided into three groups, each group contained two beams. The first group was a reference beams which was cast without any reinforcement, the second group concrete beams was reinforced using GFRP, and the third group concrete beams was reinforced with steel bars. Nonlinear finite element simulations were executed using ANSYS software package. The difference between the theoretical and experimental results of beams vertical deflection and beams crack shapes were within acceptable degree of accuracy. Parametric study using the calibrated model was carried out to evaluate two parameters (1) effect of number and position of longitudinal main bars on beam behavior; (2) performance of concrete beam with composite longitudinal reinforcement steel and GFRP bars.

TiC-Nb 소결 복합재료의 연성-취성 천이 특성 (Ductile-Brittle Transition Property of Sintered TiC-Nb Composites)

  • 신순기
    • 한국재료학회지
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    • 제24권1호
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    • pp.13-18
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    • 2014
  • In order to clarify the effect of Nb addition on the ductile-brittle transition property of sintered TiC, TiC-10 mol% Nb composites were researched using a three-point bending test at temperatures from room temperature to 2020 K, and the fracture surface was observed by scanning electron microscopy. It was found that the Nb addition decreases the ductile-brittle transition temperature of sintered TiC by 300 K and increases the ductility. The room temperature bending strength was maintained at up to 1800 K, but drastically dropped at higher temperatures in pure TiC. The strength increased moderately to a value of 320MPa at 1600 K in TiC-10 mol% Nb composites, which is 40% of the room temperature strength. Pores were observed in both the grains and the grain boundaries. It can be seen that, as Nb was added, the size of the grain decreased. The ductile-brittle transition temperature in TiC-10 mol% Nb composites was determined to be 1550 K. Above 1970 K, yieldpoint behavior was observed. When the grain boundary and cleavage strengths exceed the yield strength, plastic deformation is observed at about the same stress level in bending as in compression. The effect of Nb addition is discussed from the viewpoint of ability for plastic deformation.

4점굽힘 CNF 시험편을 이용한 CFRP적층 복합재 모드 II 층간파괴 (A Study of Mode II Interlaminar Fracture for CFRP Laminate Composite using the 4-point Bending CNF Specimen)

  • 권오현;강지웅;태환준;황용연;윤유성
    • 한국안전학회지
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    • 제25권3호
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    • pp.34-39
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    • 2010
  • Unidirectional Carbon Fiber Reinforced Plastics (CFRP) are advanced materials which combine the characteristics of the light weight, high stiffness and strength. For those reasons, the use of the unidirectional CFRP has increased in jet fighters, aerospace structures. However, unidirectional CFRP composites have a lot of problems, especially delamination, compared with traditional materials such as steels and aluminums, and so forth. Therefore, the interlaminar fracture toughness for a laminate CFRP composite is very important. In this study, The mode II interlaminar fracture toughness was measured by using center notched flexure(CNF) test specimen. The CNF specimens using unidirectional carbon prepreg were fabricated by a hot-press with the gage pressure and temperature controller. And three kinds of a/L ratio was applied to these specimens. Here, we discuss the relations of the crack growth and the mode II interlaminar fracture under the four point bending CNF test. From the results, we shows that mode II interlaminar was occurred when the more $a_0$/L ratio, the less load. And $G_{IIC}$ also were obtained as 5.33, 2.9 and $0.58kJ/m^2$ according to $a_0$/L ratio=0.2, 0.3 and 0.4.

노치 유무와 섬유혼입률에 따른 UHPCC의 휨인장강도 비교 (Comparison of Flexural Tensile Strength according to the Presence of Notch and Fiber Content in Ultra High Performance Cementitious Composites)

  • 강수태
    • 콘크리트학회논문집
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    • 제24권5호
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    • pp.525-533
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    • 2012
  • 이 연구에서는 UHPCC에서 섬유혼입률에 따른 초기균열강도 및 휨인장강도의 변화를 0~5 vol.% 범위에서 조사하였으며, 노치의 여부에 따른 영향을 파악하기 위해 노치가 없는 보에 대한 4점 재하실험 및 노치 낸 보에 대한 3점 재하실험을 같이 실시하였다. 실험 결과로부터 섬유혼입률이 증가함에 따라 휨인장강도는 선형적으로 강도가 향상됨을 확인할 수 있었고, 초기균열강도의 경우에는 1 vol.% 이상에서는 강도향상을 나타내었으나 그 이하의 섬유혼입에서는 강도향상 효과가 거의 없는 것으로 나타났다. 노치 유무에 따른 휨 실험으로부터 구한 UHPCC의 초기균열발생강도 및 휨 인장강도를 비교했을 때, 섬유혼입률에 따라 노치의 영향이 변하는 것으로 나타났다. 섬유혼입률이 증가함에 따라 노치에서의 응력집중의 영향이 감소하여 강도 차이가 점차 줄어들었으며, 높은 섬유혼입률에서는 노치에 의한 응력집중효과는 없어지고 균열면의 상태 및 크기효과의 영향이 지배적으로 작용하여 노치낸 보의 강도가 좀 더 크게 나타났다.