• 제목/요약/키워드: bending deflection

검색결과 584건 처리시간 0.027초

Size dependent bending analysis of micro/nano sandwich structures based on a nonlocal high order theory

  • Rahmani, Omid;Deyhim, Soroush;Hosseini, S. Amir Hossein
    • Steel and Composite Structures
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    • 제27권3호
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    • pp.371-388
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    • 2018
  • In this paper, a new model based on nonlocal high order theory is proposed to study the size effect on the bending of nano-sandwich beams with a compliance core. In this model, in contrast to most of the available sandwich theories, no prior assumptions are made with respect to the displacement field in the core. Herein the displacement and the stress fields of the core are obtained through an elasticity solution. Equations of motion and boundary conditions for nano-sandwich beam are derived by using Hamilton's principle and an analytical solution is presented for simply supported nano-sandwich beam. The results are validated with previous studies in the literature. These results can be utilized in the study of nano-sensors and nano-actuators. The effect of nonlocal parameter, Young's modulus of the core and aspect ratio on the deflection of the nano-sandwich beam is investigated. It is concluded that by including the small-scale effects, the deflection of the skins is increased and by increasing the nonlocal parameter, the influence of small-scale effects on the deflections is increased.

Damage and stiffness research on steel shape steel fiber reinforced concrete composite beams

  • Xu, Chao;Wu, Kai;Cao, Ping zhou;Lin, Shi qi;Xu, Teng fei
    • Computers and Concrete
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    • 제24권6호
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    • pp.513-525
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    • 2019
  • In this work, an experimental research has been performed on Steel Fiber-Steel Reinforced Concrete (SFSRC)specimens subjected to four-point bending tests to evaluate the feasibility of mutual replacement of steel fibers and conventional reinforcement through studying failure modes, load-deflection curves, stiffness of characteristic points, stiffness degradation curves and damage analysis. The variables considered in this experiment included steel fiber volume percentage with and without conventional reinforcements (stirrups or steel fibers) with shear span depth ratios of S/D=2.5 and 3.5. Experimental results revealed that increasing the volume percentage of steel fiber decreased the creation and propagation of shear and bond cracks, just like shortening the stirrups spacing. Higher crack resistance and suturing ability of steel fiber can improve the stability of its bearing capacity. Both steel fibers and stirrups improved the stiffness and damage resistance of specimens where stirrups played an essential role and therefore, the influence of steel fibers was greatly weakened. Increasing S/D ratio also weakened the effect of steel fibers. An equation was derived to calculate the bending stiffness of SFSRC specimens, which was used to determine mid span deflection; the accuracy of the proposed equation was proved by comparing predicted and experimental results.

Seismic performance assessment of steel building frames equipped with a novel type of bending dissipative braces

  • Taiyari, Farshad;Mazzolani, Federico M.;Bagheri, Saman
    • Steel and Composite Structures
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    • 제33권4호
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    • pp.525-535
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    • 2019
  • The seismic performance of steel frames equipped with a particular type of bending dissipative braces (BDBs) having U elements, which has recently been introduced and tested by the authors, is investigated. For this purpose, two structural systems, i.e., simple and dual steel building frames, both with diagonal BDBs and different number of stories, are considered. After providing a design method of this new BDB, the detailed structural models are developed in the OpenSees platform to perform nonlinear dynamic analyses. Seismic performance factors like ductility, overstrength, response modification and deflection amplification factors are calculated using incremental dynamic analysis (IDA). In addition, to assess the damage probability of the structural models, their seismic fragilities are developed. The results show high energy dissipation capacity of both structural systems while the number of U elements needed for the bracing system of each story in the moment frames are less than those in the corresponding non-moment (simple) frames. The average response modification and deflection amplification factors for both structural schemes are obtained about 8.6 and 5.4, respectively, which are slightly larger than the corresponding recommended values of ASCE for the typical buckling-restrained braces (BRBs).

Correcting the Elastic-modulus Error of Quartz Glass Using Digital Speckle-pattern Interferometry

  • Ziyang Song;Weixian Li;Sijin Wu;Lianxiang Yang
    • Current Optics and Photonics
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    • 제7권4호
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    • pp.337-344
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    • 2023
  • Three-point bending is the main method for measuring the elastic modulus of a thin plate. Although various displacement transducers may be used to measure the bending, these are single-point measurements, and it is difficult to eliminate the error caused by eccentric load and shear force. Error-correction models for the elastic modulus of quartz glass using digital speckle interferometry are proposed for eccentric load and shear force. First, the positional misalignment between maximum deflection and load is analyzed, and the error caused by eccentric load is corrected. Then, the additional displacement caused by shear force at different positions of the quartz glass plate is explored. The effect of shear deformation is also corrected, by measuring two points. Since digital speckle interferometry has the advantage of full-field measurement, it can simultaneously obtain deflection data for multiple points to realize error correction. Experimental results are presented to demonstrate that the proposed model can effectively correct the measurement error of the elastic modulus.

looped wire의 하중변형도와 열처리에 의한 변화 (THE LOAD DEFLECTION RATE OF LOOPED WIRE AND ITS CHANGE BY HEAT TREATMENT)

  • 이용국
    • 대한치과교정학회지
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    • 제16권1호
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    • pp.133-144
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    • 1986
  • This study was conducted to evaluate the effects of loop formation and heat treatment upon the elastic properties of orthodontic wires. The specimens selected were .016', .018', .016x.022', and .018x.022' sized stainless steel (standard) and cobalt-chromium-nickel wires, and were divided into 7 groups as; 1. straight non-heat treated 2. U looped non-heat treated 3. L looped non-heat treated 4. Circle looped non-heat treated 5. U looped heat treated 6. L looped heat treated 7. Circle looped heat treated Heat treatment was performed in Big Jane furnace at 850' F for 3 minutes. The elastic limit and the elastic range of each specimen were determined by bending test, and load deflection rate was computed from those values. The findings were as follows; 1. The formation of loop resulted in increased load-deflection rate for both stainless steel and cobalt-chromium-nickel wires. 2. The heat treated group showed higher load-deflection rate than non-heat treated group, which was more apparent in cobalt-chromiumnickel wire than in stainless steel wire. 3. L loop had the highest load-deflection rate among 3 types of loops, followed by U loop and circle loop. 4. The specimens with greater diameter displayed the more increase in load-deflection rate by looping and heat treatment.

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SPIV 기법을 이용한 비접촉 그리퍼에 의해 공중부양된 유연판의 3차원 변형 특성 측정 (Measurements of 3-D Deflection Characteristics of a Flexible Plate Levitated by Non-Contact Grippers Using SPIV Method)

  • 김재우;김준현;이영훈;성재용
    • 한국가시화정보학회지
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    • 제19권3호
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    • pp.54-62
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    • 2021
  • This study has investigated the 3-D deflection characteristics of a flexible plate levitated by non-contact grippers using SPIV method. The measuring instrument consisted of a flexible plate located under four non-contact grippers and two cameras at the bottom of a transparent acrylic plate. Measurements were made on two materials (PVC and PC) for the plate with 50×50 cm2 area and 1 mm thickness. The deflection characteristics and flatness vary depending on the plate material, the gripper position and the air flow supplied to the gripper. For the material of PVC, the overall defection is convex. As the gripper position goes outward from the plate center, the upmost bending point also moves to the outside of the plate with the flatness increasing. However, the air flow rate does not affect the deflection pattern except for the small increase of flatness. For the material of PC, the shape of deflection changes from convex to concave as the gripper position goes out. The flatness is the highest at the point of transition from convex to concave, but the air flowrate has little effect on the flatness.

간섭 거동에 따른 지하 가스 배관의 영향선 분석 (Analysis of the Critical Path of Underground Gas Pipe According to Interference Behavior)

  • 김미승;원종화;김문겸;김태민;최선영
    • 한국가스학회지
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    • 제13권2호
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    • pp.7-13
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    • 2009
  • 관망 내 배관의 간섭 거동에 따른 지하 매설 배관의 영향선 분석을 위하여 실제 환경에 부합 하도록 지하의 상부와 하부에 각각 하수관거와 가스관을 매설하여 유한요소모델을 구현하였으며, 두 배관의 교차 정도에 따라 하부 가스 배관의 영향선을 분석하였다. 하수관거와 가스관은 각각 1.0m와 3.39m의 매설심도를 가지며, 두 배관이 이루는 교차각은 $0{\sim}90^{\circ}$에 대하여 해석을 실시하였다. 본 연구에서는 Ring Deflection과 Bending Stress의 결과로부터, 교차각에 따른 영향선을 분석하였으며, 그 결과 두 배관이 이루는 교차각과 하부 배관의 영향선은 일치함을 알 수 있었다. 따라서 배관의 간섭 거동에 따른 하부 배관의 영향선은 두 배관의 교차각과 깊은 관계가 있다고 판단된다.

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종이성형구조물의 휨강성에 대한 실험적 연구 (Experimental Investigation for Flexural Stiffness of Paperboard-stacked Structure)

  • 박종민;이명훈
    • 한국포장학회지
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    • 제5권2호
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    • pp.17-23
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    • 1999
  • Top-to-bottom compression strength of corrugated fiberboard boxes is partly dependent on the load-carrying ability of the central panel areas. The ability of these central areas to resist bending under load will increase the stacking strength of the box. The difference of box compression strengths, among boxes which are made with identical dimensions and fabricated with same components but different flute sizes, is primarily due to difference of the flexural stiffness of the box panels. Top-to-bottom compression strength of a box is accurately predicted by flexural stiffness measurements and the edge crush test of the combined boards. This study was rallied out to analyze the flexural stiffness, maximum bending force and maximum deflection for various corrugated fiber-boards by experimental investigation. There were significant differences between the machine direction (MD) and the cross-machine direction (CD) of corrugated fiberboards tested. It was about 50% in SW and DW, and $62%{\sim}74%$ in dual-medium corrugated fiberboards(e.g. DM, DMA and DMB), respectively. There were no significant differences of maximum deflection in machine direction among the tested fiberboards but, in cross direction, DM showed the highest value and followed by SW, DMA, DMB and DW in order. For the corrugated fiberboards tested, flexural stiffness in machine direction is about $29%{\sim}48%$ larger than cross direction, and difference of flexural stiffness between the two direction is the lowest in DMA and DMB.

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任意의 境界條件을 갖는 鐵筋콘크리트 扇形板의 解析(II) - 第 2報 鐵筋比 및 邊長比의 影響 - (An Analysis of the Reinforced Concrete Circular Ring Sector Plates with Arbitrary Boundary Conditions)

  • 조진구
    • 한국농공학회지
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    • 제34권1호
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    • pp.78-86
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    • 1992
  • This paper aims at investigating the effect of steel ratio and the magnitude of edge-ratio on the mechanical characteristics of reinforced concrete ring sector plate. The influence of steel bars was taken into account by coupling stiffness matrix of the steel bar element with that of the concrete plate element without dealing with separate element of steel bar and by establishing the composite stiffness matrix, which leads to the desirable result which does not increase th number of element could be obtained. Through case studies with 6 cases various steel ratios in ring sector plate supported at four edges and 4 cases with different open angles, the influence of the steel ratio was examined. A numerical analysis to find out the effect of the steel ratio d ue to above mentioned cases was carried out by 4 boundary conditions ; all edges clamped (B.C-1), all edges simply supported (B.C-2), curvilinear two edges clamped and other edges free (B.C-3) and curvilinear two edges simply supported and other edges free(B.C-4). The main results obtained are summarized as follows : 1. The effect of steel ratio on the magnitude of lateral deflection and x-directional bending moment at the center of sector plate and the midpoint of outer and inner curvilinear edges is almost the same up to $30^{\circ}$ of open angle. Beyond $30^{\circ}$ of the angle, the larger the angle, the greater the effect of ratio. 2. In design works using balanced steel ratio, the effect of steel bar can be ignored. But for larger open angles, especially greater than $90^{\circ}$, it proves desirable to consider the effect of steel bar. 3. The effect of the arc length of center circle/straight edge on lateral deflection and bending moment is remarkable in B.C-2. For larger open angle, the effect is also noted except for B.C-3 which turn out hardly affected. 4. The effect of the radius of curvature/straight side length on lateral deflection and x-directional bending moment is noted in B.C-2. As open angle increases, B.C-1 and B.C-3 almost agree and B.C-2 approaches B.C-4.

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The bending-shear-torsion performance of prestressed composite box beam

  • Wei, Hu S.;Yu, Zhao K.;Jie, Wei C.
    • Structural Engineering and Mechanics
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    • 제62권5호
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    • pp.577-585
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    • 2017
  • To study the mechanical performances of prestressed steel-concrete composite box beam under combination of bending-shear-torsion, nine composite beams with different ratio of torsion to bending were designed. Torsion was applied to the free end of the beam with jacks controlled accurately with peripherals, as well as concentrated force on the mid-span with jacks. Based on experimental data and relative theories, mechanical properties of composite beams were analyzed, including torsional angle, deformation and failure patterns. The results showed that under certain ratio of torsion to bending, cracking and ultimate torsion increased and reached to its maximum at the ratio of 2. Three phases of process is also discussed, as well as the conditions of each failure mode.