• 제목/요약/키워드: Neutral plane

검색결과 100건 처리시간 0.023초

Nonlinear thermal buckling behavior of functionally graded plates using an efficient sinusoidal shear deformation theory

  • Bouiadjra, Rabbab Bachir;Bedia, E.A. Adda;Tounsi, Abdelouahed
    • Structural Engineering and Mechanics
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    • 제48권4호
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    • pp.547-567
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    • 2013
  • Nonlinear behavior of functionally graded material (FGM) plates under thermal loads is investigated here using an efficient sinusoidal shear deformation theory. The displacement field is chosen based on assumptions that the in-plane and transverse displacements consist of bending and shear components, and the shear components of in-plane displacements give rise to the sinusoidal distribution of transverse shear stress through the thickness in such a way that shear stresses vanish on the plate surfaces. Therefore, there is no need to use shear correction factor. Unlike the conventional sinusoidal shear deformation theory, the proposed efficient sinusoidal shear deformation theory contains only four unknowns. The material is graded in the thickness direction and a simple power law based on the rule of mixture is used to estimate the effective material properties. The neutral surface position for such FGM plates is determined and the sinusoidal shear deformation theory based on exact neutral surface position is employed here. There is no stretching-bending coupling effect in the neutral surface-based formulation, and consequently, the governing equations and boundary conditions of functionally graded plates based on neutral surface have the simple forms as those of isotropic plates. The non-linear strain-displacement relations are also taken into consideration. The thermal loads are assumed as uniform, linear and non-linear temperature rises across the thickness direction. Closed-form solutions are presented to calculate the critical buckling temperature, which are useful for engineers in design. Numerical results are presented for the present efficient sinusoidal shear deformation theory, demonstrating its importance and accuracy in comparison to other theories.

Exact vibration and buckling analyses of arbitrary gradation of nano-higher order rectangular beam

  • Heydari, Abbas
    • Steel and Composite Structures
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    • 제28권5호
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    • pp.589-606
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    • 2018
  • The previous studies reflected the significant effect of neutral-axis position and coupling of in-plane and out-of-plane displacements on behavior of functionally graded (FG) nanobeams. In thin FG beam, this coupling can be eliminated by a proper choice of the reference axis. In shear deformable FG nanobeam, not only this coupling can't be eliminated but also the position of neutral-axis is dependent on through-thickness distribution of shear strain. For the first time, in this paper it is avoided to guess a shear strain shape function and the exact shape function and consequently the exact position of neutral axis for arbitrary gradation of higher order nanobeam are obtained. This paper presents new methodology based on differential transform and collocation methods to solve coupled partial differential equations of motion without any simplifications. Using exact position of neutral axis and higher order beam kinematics as well as satisfying equilibrium equations and traction-free conditions without shear correction factor requirement yields to better results in comparison to the previously published results in literature. The classical rule of mixture and Mori-Tanaka homogenization scheme are considered. The Eringen's nonlocal continuum theory is applied to capture the small scale effects. For the first time, the dependency of exact position of neutral axis on length to thickness ratio is investigated. The effects of small scale, length to thickness ratio, Poisson's ratio, inhomogeneity of materials and various end conditions on vibration and buckling of local and nonlocal FG beams are investigated. Moreover, the effect of axial load on natural frequencies of the first modes is examined. After degeneration of the governing equations, the exact new formulas for homogeneous nanobeams are computed.

실내공간에서 화재 발생위치에 따른 연기거동에 대한 실험연구 (An Experimental Study of Smoke Movement of the Various Fire Location in Room)

  • 유홍선;정진용;이재하;홍기배
    • 대한기계학회논문집B
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    • 제26권5호
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    • pp.703-709
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    • 2002
  • In order to investigate the smoke movement in three dimensional room fires, the center fire, wall fire and corner fire plume in different sized fires were studied experimentally by rectangular pool fire using methanol as a fuel. As the fire size became larger for the center fires placed at the center of the floor, the air flow rate entrained through the opening, average hot layer temperature, flame angle deflected backwards and mean flame height was observed to increase. On the other hand, as the fire size became smaller, the neutral plane height in the door and time reached steady-state was observed to decrease. The average hot layer temperature, mean flame height and doorway neutral plane height obtained from comer fire were higher than those produced by wall fires and center fires. The simple model for describing the effect of walls on the mean flame height was presented. It was shown that the model provides a good description of the present measurements, when used with the assumption by Hansell(1993), that the increase of the average flame height is equal to the ratio of the open to the total perimeters of the trays. Also the two models for predicting the effects of walls on the mean flame height were presented. These models overestimated the measured values of the mean flame height above fuel trays close to a wall and in a corner by approximately 19-26%, respectively.

제주지역 고층건축물에서의 바람의 영향이 굴뚝효과에 미치는 영향 분석 (서울과 제주지역간의 비교 분석) (Influence of Stack Effect in High-Rise Buildings on Wind Effect in Jeju (Comparative Analysis of Seoul and Jeju))

  • 임채현
    • 한국화재소방학회논문지
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    • 제29권6호
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    • pp.6-12
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    • 2015
  • 본 연구에서는 상대적으로 바람이 강한 제주지역에서 바람의 영향이 고층건축물의 굴뚝효과에 어떠한 영향을 미치는지를 분석하기 위해 서울소재 고층건축물을 대상으로 서울과 제주지역에서의 지형 및 기상조건을 각각 대입하여 CONTAM 모델링을 실시하였다. 굴뚝효과에 의한 차압은 수직샤프트의 높이와 실내 외 온도차의 함수로서 같은 높이의 건축물에서는 겨울철 서울보다 상대적으로 외기온도가 따뜻한 제주지역에서의 차압이 서울지역의 60% 정도에 그쳐 비교적 안정적인 것으로 판단되어 왔다. 그러나 제주도는 섬지역으로서 서울보다 강한 바람의 영향에 의해 중성면이 56% 이상 큰 폭으로 상승하는 현상을 보였는데, 이는 비록 제주지역이 서울보다 굴뚝효과에 의한 차압은 적게 나타날지라도 상승된 중성면에 의해 저층부에서 형성되는 부압의 영역이나 크기는 넓고 크게 나타나 위험성이 상대적으로 높은 것으로 판단되었다.

지속적인 전방머리자세 시 머리-목 관절 위치 감각의 변화 (Changes in Cervicocephalic Joint Position Sense in Sustained Forward Head Posture)

  • 정다운;김용욱
    • 대한통합의학회지
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    • 제5권2호
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    • pp.11-17
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    • 2017
  • Purpose : The aim of this study was to verify differences in cervicocephalic joint position sense error after different sustained sitting postures in healthy young adults. Methods : Twenty-five healthy adults(12 men, 13 women) participated in this study. Repositioning errors of neck movement were observed in participants during joint repositioning tasks. During 2 test days with a 1-week interval, the participants performed forward head posture and upright sitting posture in random order. Both head-to-neutral(HTN) and head-to-target(HTT) tasks were performed on each day. On the first day, the participants sat slouched or upright for 10 minutes. Then, they sat upright and moved their heads at a self-selected speed with their eyes-closed to pre-determined neutral and target positions as accurately as possible. The participants noticed that when they reached a pre-determined position, the errors between pre-determined neutral and target positions and current position was recorded. The tasks consisted of flexion, extension and lateral bending. On the second day, the same test was performed after another sitting posture for 10 minutes. Repositioning error values were collected by using a smart phone-based inclinometer. The mean value for three trials was used for data analysis. A paired t-test was used for statistical analysis. Results : Significant differences in joint repositioning errors were found between the repositioning error after different sitting postures on the sagittal plane for both the HTN and HTT tasks (P<.05). No significant differences in errors on the coronal plane were found (P>.05). Conclusion : Cervicocephalic joint position sense can be affected by sitting postures, especially on the sagittal plane.

공동주택 화재 시 화재크기 및 실내 개구부 크기가 화재풍속에 미치는 영향에 관한 수치해석적 연구 (Numerical Study on the Effect of Heat Release Rate and Interior Opening on Fire Flow Velocity in the Case of Interior Fire in an Apartment Building)

  • 서찬원;신원규
    • 한국화재소방학회논문지
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    • 제28권5호
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    • pp.37-43
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    • 2014
  • 재실자가 부속실로의 피난 시 부속실 송풍기가 작동하기 전단계에서는 실내화재로 인한 풍속이 발생하여 부속실 개방과 더불어 연소생성물이 부속실을 오염시켜 피난장애의 결과를 가져올 수 있다. 이로인한 화재크기 및 실내 개구부 크기가 화재풍속에 미치는 영향을 확인하기 수치해석 연구를 수행하였다. 수치해석에서는 화재크기 및 실내 개구부 크기를 달리하였고, 실제의 공동주택 형상과 치수를 반영하였다. 수치해석 결과, 화재크기별 실내의 개구부 크기에 따라서 중성대 높이가 변화하여 부속실로 흐르는 화재풍속 특성이 다르게 나타남을 확인할 후 있었다. 또한, 실내 중성대가 높은 곳에 형성된 경우에는 방화문 상 하부에서 화재풍속의 차이가 나타남을 확인할 수 있었다.

골격성 III급 부정교합자의 치열궁 폭경에 관한 연구 (A Study on Basal and Dental Arch Width in Skeletal Class III Malocclusion)

  • 이해경;손우성
    • 대한치과교정학회지
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    • 제32권2호통권91호
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    • pp.117-127
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    • 2002
  • 본 연구는 전후방적인 부조화가 폭경에 영향을 미치는지 알기 위해 I급 정상교합군과 III급 부정교합군을 비교하였고, III급 부정교합군내에서 수직적인 부조화가 폭경에 영향을 미치는지 알기 위해 Hyperdivergent군과 Neutral군으로 나누어 폭경의 차이를 비교하였다. 부산대학교병원 치과교정과에 내원한 골격성 III급(ANB< 0$^{\circ}$) 부정교합자 중측모 두부방사선 계측사진상에서 하악 평면각(SN-Mandibular plane; 정상인의 평균 32 ${\pm}$ 5$^{\circ}$)이 1.5 SD이상(39.5$^{\circ}$이상)인 환자 37명 (남자 18명, 여자 19명 )을 hyperdivergent군(Group B)으로, 하악 평면각이 정상치의 0.5 SD이내인(32 ${\pm}$ 2.5$^{\circ}$) 40명 (남자 20명, 여자 20명)을 neutral군(Group C)으로 분류하였고 11개의 치과대학 교정과에서 선별한 정상교합과 정상적인 안모를 가진 성인 24) 중 41명(남자 20명, 여자 21명)을 정상교합군(Group A)으로 하여 이 세 군을 대상으로 연구하여 다음과 같은 결론을 얻었다. 1. 골격성 III급 부정교합군내에서 수직적인 양상에 따른 폭경 비율은 유의할 만한 차이가 없었다. 2. 정상교합군과 III급 부정교합군의 상, 하악 기저골에 대한 치아간 폭경 비율의 비교에서 상악에서는 III급 부정교합군의 비율이 더 컸고(p<0.001), 하악에서는 제 1대구치 부분을 제외한 모든 항목에서 III급 부정교합군의 비율이 작아서(p<0.001) III급 부정교합군이 정상교합군에 비해 기저골에 대해 상악 치아가 더 협측으로 경사되고, 제1대구치를 제외하고 기저골에 대해 하악 치아가 설측 경사되어 횡적인 치성보상이 잘 되어 있는 것으로 나타났다(p<0.001). 3. 정상교합군과 III급 부정교합군의 상악에 대한 하악의 치아간 폭경 비율의 비교에서 모든 부분에서 유의할 만한 차이가 없었다. 4. 정상교합군과 III급 부정교합군의 상악에 대한 하악의 기저골 폭경 비율의 비교에서 모든 부위에서 III급 부정교합군이 정상교합군보다 더 커서(p<0.0001) III급 부정교합군의 상악 기저골 폭경이 하악보다 더 좁게 나타났다.

A new first shear deformation beam theory based on neutral surface position for functionally graded beams

  • Bouremana, Mohammed;Houari, Mohammed Sid Ahmed;Tounsi, Abdelouahed;Kaci, Abdelhakim;Bedia, El Abbas Adda
    • Steel and Composite Structures
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    • 제15권5호
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    • pp.467-479
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    • 2013
  • In this paper, a new first-order shear deformation beam theory based on neutral surface position is developed for bending and free vibration analysis of functionally graded beams. The proposed theory is based on assumption that the in-plane and transverse displacements consist of bending and shear components, in which the bending components do not contribute toward shear forces and, likewise, the shear components do not contribute toward bending moments. The neutral surface position for a functionally graded beam which its material properties vary in the thickness direction is determined. Based on the present new first-order shear deformation beam theory and the neutral surface concept together with Hamilton's principle, the motion equations are derived. To examine accuracy of the present formulation, several comparison studies are investigated. Furthermore, the effects of different parameters of the beam on the bending and free vibration responses of functionally graded beam are discussed.

Infrared Absorption Spectroscopic Studies of ${\alpha},{\omega}$-Diphenylpolyenyl Anions with Odd Numbered Polyene Molecules

  • 김진열;김응렬;손대원
    • Bulletin of the Korean Chemical Society
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    • 제22권8호
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    • pp.833-836
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    • 2001
  • Infrared absorption spectra of $\alpha\omega-diphenylpolyenyl$, anions Ph(CH)nPh- (DPn-, n=7, 9, and 13) in the tetrahydrofuran-d6 solutions was measured in the range of 1700 and 1200 cm-1 . The infrared spectra obtained from anions (DPn) showed considerable difference from their neutral species (DPn); their intensities were enhanced at least two orders of magnitude stronger than their neutral species. The in-plane CH bending modes at 1464 and 1375 cm-1 are correspondingly strengthened with the chain length increased, but the C=C stretching at 1541 cm-1 is weakened and frequencies are not changed. We provide an IR evidence for the first time that the bond order or bond alternations of the anions (soliton) are different from those of radical anions (polaron) as well as neutral species.

초고층주상복합건물에서 배연창 개방이 연돌효과에 미치는 영향에 대한 실험적 연구 (Experiments on the Influence of Opening of Natural Smoke Ventilators on the Stack Effect in High-rise Mixed-use Residential Buildings)

  • 임채현;김범규;박용환
    • 한국방재학회 논문집
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    • 제9권3호
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    • pp.89-94
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    • 2009
  • 초고층 주상복합 건축물은 구조적으로 수직샤프트의 길이가 길고 24시간 냉난방이 이루어지는 용도적인 특성으로 혹서기 심야시간대에 실내외 온도차에 의한 연돌효과가 다른 건물보다 크게 발생한다. 또한, 하부 층에는 개구율이 높은 판매시설 및 지하주차장 등이 위치하고 있어 중성대가 상대적으로 낮게 형성되는 압력분포 특성을 가지고 있다. 이러한 압력분포는 화재위험도가 높은 하부 층에서 화재발생 시 중성대 이상층 전체가 연기확산의 위험에 노출되고 출입문 개방장애 등의 피난장애를 가져올 수 있음을 예측할 수 있다. 이에 본 연구에서는 초고층주상복합건축물에서의 수직 및 수평 압력분포를 정상조건 및 배연창개방조건에 따라 계단실, 부속실, 복도에서의 압력을 측정하고 압력분포특성을 분석하였다.