• 제목/요약/키워드: deflection model

검색결과 946건 처리시간 0.024초

Pre-buckling deflection effects on stability of thin-walled beams with open sections

  • Mohri, F.;Damil, N.;Potier-Ferry, M.
    • Steel and Composite Structures
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    • 제13권1호
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    • pp.71-89
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    • 2012
  • The paper investigates beam lateral buckling stability according to linear and non-linear models. Closed form solutions for single-symmetric cross sections are first derived according to a non-linear model considering flexural-torsional coupling and pre-buckling deformation effects. The closed form solutions are compared to a beam finite element developed in large torsion. Effects of pre-buckling deflection and gradient moment on beam stability are not well known in the literature. The strength of singly symmetric I-beams under gradient moments is particularly investigated. Beams with T and I cross-sections are considered in the study. It is concluded that pre-buckling deflections effects are important for I-section with large flanges and analytical solutions are possible. For beams with T-sections, lateral buckling resistance depends not only on pre-buckling deflection but also on cross section shape, load distribution and buckling modes. Effects of pre-buckling deflections are important only when the largest flange is under compressive stresses and positive gradient moments. For negative gradient moments, all available solutions fail and overestimate the beam strength. Numerical solutions are more powerful. Other load cases are investigated as the stability of continuous beams. Under arbitrary loads, all available solutions fail, and recourse to finite element simulation is more efficient.

처짐각법을 이용한 선형부재의 탄소성 좌굴해식 (Elasto-Plastic Buckling Analysis Based on the Slope-Deflection Method)

  • 정명채
    • 한국공간구조학회논문집
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    • 제6권4호
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    • pp.63-72
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    • 2006
  • 본 논문은 처짐각법을 사용하여 탄소성 좌굴 기본긱을 유도하고 이를 타당성을 검증하고 있다. 이와 함께 이 개념을 사용하여 구조해석 할 수 있는 탄소성좌굴해석 요소를 정식화하는 방법도 함께 설명하고 있다. 이 요소는 요소 양단에 탄소성 거동을 표현하는 스프링을, 요소 중앙부는 선형좌굴을 표현하는 스프링을 각각 설정하여 실제 부재의 탄소성 좌굴거동을 표현하도록 설계되어 있다. 또한 이 방법이 통상의 기하강성 매트릭스를 사용한 방법과 비교하여 어떠한 장점이 있는지를 분석하고 있다.

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듀얼 벨 노즐에 확장-굴절(E-D) 노즐 개념을 적용한 기초 전산수치해석 (Numerical Study of Dual Bell Nozzle by applying the Concept of Expansion-Deflection Nozzle)

  • 문태석;박상현;최준섭;허환일
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2017년도 제48회 춘계학술대회논문집
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    • pp.679-681
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    • 2017
  • 듀얼 벨 노즐에 확장-굴절 노즐 개념을 적용한 기초 전산수치해석 연구를 수행하였다. CEA 코드를 이용하여 노즐 내부 유동의 화학조성을 계산한 8 화학종 동결유동 해석을 진행하였고, 난류 모델은 $k-{\omega}$ SST 모델을 선정하였다. 듀얼 벨 노즐에 확장-굴절 노즐 개념을 적용함에 따라 변화된 천이고도 및 성능 계산을 수행하였다. 해석 결과 확장-굴절 노즐 개념을 적용함에 따라 과대팽창 조건이 형성되었고, 그에 따라 천이고도가 상승하였다.

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Bending analysis of a micro sandwich skew plate using extended Kantorovich method based on Eshelby-Mori-Tanaka approach

  • Rajabi, Javad;Mohammadimehr, Mehdi
    • Computers and Concrete
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    • 제23권5호
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    • pp.361-376
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    • 2019
  • In this research, bending analysis of a micro sandwich skew plate with isotropic core and piezoelectric composite face sheets reinforced by carbon nanotube on the elastic foundations are studied. The classical plate theory (CPT) are used to model micro sandwich skew plate and to apply size dependent effects based on modified strain gradient theory. Eshelby-Mori-Tanaka approach is considered for the effective mechanical properties of the nanocomposite face sheets. The governing equations of equilibrium are derived using minimum principle of total potential energy and then solved by extended Kantorovich method (EKM). The effects of width to thickness ratio and length to width of the sandwich plate, core-to-face sheet thickness ratio, the material length scale parameters, volume fraction of CNT, the angle of skew plate, different boundary conditions and types of cores on the deflection of micro sandwich skew plate are investigated. One of the most important results is the reduction of the deflection by increasing the angle of the micro sandwich skew plate and decreasing the deflection by decreasing the thickness of the structural core. The results of this research can be used in modern construction in the form of reinforced slabs or stiffened plates and also used in construction of bridges, the wing of airplane.

Influence of prestressing on the behavior of uncracked concrete beams with a parabolic bonded tendon

  • Bonopera, Marco;Chang, Kuo-Chun;Lin, Tzu-Kang;Tullini, Nerio
    • Structural Engineering and Mechanics
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    • 제77권1호
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    • pp.1-17
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    • 2021
  • The influence of prestress force on the fundamental frequency and static deflection shape of uncracked Prestressed Concrete (PC) beams with a parabolic bonded tendon was examined in this paper. Due to the conflicts among existing theories, the analytical solutions for properly considering the dynamic and static behavior of these members is not straightforward. A series of experiments were conducted for a total period of approximately 2.5 months on a PC beam made with high strength concrete, subsequently and closely to the 28 days of age of concrete. Specifically, the simply supported PC member was short term subjected to free transverse vibration and three-point bending tests during its early-age. Subsequently, the experimental data were compared with a model that describes the dynamic behavior of PC girders as a combination of two substructures interconnected, i.e., a compressed Euler-Bernoulli beam and a tensioned parabolic cable. It was established that the fundamental frequency of uncracked PC beams with a parabolic bonded tendon is sensitive to the variation of the initial elastic modulus of concrete in the early-age curing. Furthermore, the small variation in experimental frequency with time makes doubtful its use in inverse problem identifications. Conversely, the relationship between prestress force and static deflection shape is well described by the magnification factor formula of the "compression-softening" theory by assuming the variation of the chord elastic modulus of concrete with time.

Effect of shear stresses on the deflection and optimal configuration of a rectangular FGM structure

  • Ayoub El Amrani;Hafid Mataich;Jaouad El-Mekkaoui;Bouchta El Amrani
    • Coupled systems mechanics
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    • 제12권4호
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    • pp.391-407
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    • 2023
  • This paper presents a static study of a rectangular functional graded material (FGM) plate, simply supported on its four edges, adopting a refined higher order theory that looks for, only,four unknowns,without taking into account any corrective factor of the deformation energy with the satisfaction of the zero shear stress conditions on the upper and lower faces of the plate. We will have determined the contribution of these stresses in the transverse deflection of the plate, as well as their effects on the axial stress within the interfaces between the layers(to avoid any problem of imperfections such as delamination) and on the top and bottom edges of the plate in order to take into account the fatigue phenomenon when choosing the distribution law of the properties used during the design of the plate. A numerical statement, in percentage, of the contribution of the shear effect is made in order to show the reliability of the adopted theory. We will also have demonstrated the need to add the shear effect when the aspect ratio is small or large. Code routines are programmed to obtain numerical results illustrating the validity of the model proposed in the theory compared to those available in the literature.

Deflection of Ultra-high Energy Cosmic Rays by the Galactic Magnetic Field

  • Kim, Jihyun;Kim, Hang Bae;Ryu, Dongsu
    • 천문학회보
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    • 제39권2호
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    • pp.73.1-73.1
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    • 2014
  • We investigate the influence of the galactic magnetic field (GMF) on the arrival direction (AD) of ultra-high energy cosmic rays (UHECRs) by searching the correlation with the large-scale structure (LSS) of the universe. The deflection angle of UHECRs from sources by the GMF is reflected in a source model by introducing the Gaussian smearing angle as a free parameter. Assuming the deflections by the GMF are mainly dependent on the galactic latitude, b, we divide the regions of sky by b and analyze the correlation between the AD of UHECRs and the LSS of the universe in each region varying the smearing angle. We find the deflection is strongly dependent on the galactic latitude by the maximum likelihood estimation. Specifically, the best-fit smearing angles are $9^{\circ}$ and $84^{\circ}$ in the high galactic latitude (HGL), $-90^{\circ}$ < b < $-60^{\circ}$, and in the low galactic latitude (LGL), $-30^{\circ}$ < b < $30^{\circ}$, respectively. The strength of GMF becomes stronger from the HGL to the LGL. From the results, we can estimate the strength of GMF in each region. In the LGL, for example, if we assume UHECRs are protons, we have the order of $100{\mu}G$ GMF, which is much stronger than the expected value of conventional GMF model. However, if the primaries are heavy nuclei, which is consistent with the observational result of mass composition analysis, the order of GMF strength is a few ${\mu}G$. More data from the future experiments make it possible to study the GMF between the source of UHECRs and Earth more accurately.

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해양플랫폼 알루미늄 핸드레일 적용을 위한 소켓 구조강도 평가법 (Methodology of Strength Analysis of Socket for AL Handrail in Offshore Platform)

  • 김연호;박주신;서정관
    • 해양환경안전학회지
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    • 제28권2호
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    • pp.354-360
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    • 2022
  • 해양플랜트 상구구조물의 중량 절감을 위한 알루미늄 핸드레일 적용을 위하여, 소재의 항복강도 향상 및 관련 국제기준에 부합한 강도평가를 통하여 설계가 이루어지고 있다. 기존에 해양프로젝트에 설치된 알루미늄 핸드레일은 플랫폼에 설치 시 소켓에 볼트 연결되며, 소켓의 설계 정도에 따라서 핸드레일 처짐 량이 크게 좌우된다. 그러나 국제기준에서는 소켓에 대한 중요성 언급이 없으며, 별도의 평가 절차나 기준도 모호하다. 따라서 본 연구를 통해서 핸드레일 소켓 설계 시 고려해야 하는 주요 인자들에 대한 강도 해석을 수행하고, 최적의 치수를 도출하였다. 개발모델의 구조 안전성을 확보하기 위하여, 실험을 통한 검증을 수행하였고, 국제기준에서 요구하는 허용 처짐 이내에서 모두 만족함을 확인하였다. 개발된 국산화 모델은 기존 외국 제조사와 비교하여 가볍고, 생산성이 향상되어 향후 많은 분야에서 사용이 될 것으로 판단된다.

닮음 법칙에 의한 굽힘 및 드레이프 형상의 해석 (Analysis of Shapes of Bending and Draping by the Model Rule)

  • 서정권;이정욱
    • 한국의류학회지
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    • 제20권6호
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    • pp.1116-1124
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    • 1996
  • The factors to presume the shapes of bending and draping were examined in this study, by applying the similar phenomenon and theory of analysis. The findings were as followings: 1. The value of deflection angle (f) of deflection curve were almost consistent with those of K number and the shapes of deflection curve were congruent, under the condition of that the values of EI/w are almost similar and the lengths of samples are consistent. 2. The values of drape area, drape coefficient, mean of deflection angle, and $\pi$ number were consistently estimated and the shapes of drape were almost the same, under the condition of that the values of EI/w are similar and the diameter of samples are consistent. 3. In using the samples with different values of EI/w, scale factor, kl, was obtained from the formula, the shapes of bending of the referent samples and compsactive smaples was geometrically similar, which the lengths of samples were 1,1'and were satisfied with the formula, hi: L'11, and their $\pi$ number were also consistent. 4. In applying the samples with different values of Rllw, scale factor (kl) was obtained and then, when semidiameter of samples was adjusted to be satisfied with the formula, k1=L/L, the shapes of draping of referent samples and comparative samples were geometrically similar. Furthermore, their $\pi$ number was also consistent. 5. The shares of bending and draping could be changed in terms of three factors such as the lengths of samples, bending ridigity, and weigths per unit area. $\pi$ number was obtained from theory of similar phenomenon, which was index to presume shapes of bending and the shapes of draping getting from the three factors.

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처짐을 고려한 불완전합성형의 곡률특성에 관한 연구 (A Study on the Curvature Characteristic of the Incomplete Composite Girder Considering the Deflection Effect)

  • 용환선;김윤환;박용찬;송수엽
    • 한국강구조학회 논문집
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    • 제14권6호
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    • pp.803-811
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    • 2002
  • 일반적으로 강콘크리트 합성형교는 불완전합성에 대한 해석의 복잡함 때문에 강재와 콘크리트 계면에서의 상대변위가 발생하지 않는 완전합성형으로 설계된다. 그러나, 이러한 설계는 기존 강합성형 의 거동을 평가하는 경우 실제 구조물의 내하력과 내구성을 정확하게 도출하지 못하게 된다. 이러한 경우에는 불완전합성이론을 이용하여 구조물의 거동을 정확히 반영해야 한다. 본 연구에서는 집중하중을 받는 단순합성형교에 대하여 처짐 거동을 고려한 불완전합성곡률의 변화양상을 확인하기 위하여 유한요소해석 모델을 이용하여 전단연결재의 배치간격과 배치열수 그리고 콘크리트 탄성계수를 매개변수로 선택하여 해석을 수행하였다. 본 연구의 결과로서 합성형의 처짐이 증가할수록 불완전합성 정도가 증가함을 알 수 있었으며, 콘크리트 슬래브에서 균열이 발생으로 인한 강성 및 강도의 감소가 합성정도에 큰 영향을 미치는 것을 알 수 있었다.