• 제목/요약/키워드: equilibrium equation

검색결과 840건 처리시간 0.024초

A new analytical approach to estimate the seismic tensile force of geosynthetic reinforcement respect to the uniform surcharge of slopes

  • Motlagh, Ali Tafreshi;Ghanbari, Ali;Maedeh, Pouyan Abbasi;Wu, Wei
    • Earthquakes and Structures
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    • 제15권6호
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    • pp.687-699
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    • 2018
  • This paper investigates the pseudo-static analysis of reinforced slopes with geosynthetics under the influence of the uniform surcharge to evaluate the maximum tensile force of reinforcements. The analytical approach has basically been used to develop the new practical procedure to estimate both tensile force and its distribution in the height of the slope. The base of developed relationships has been adapted from the conventional horizontal slice method. The limit equilibrium framework and the assumptions of log-spiral failure surface have directly been used for proposed analytical approach. A new analytical approach considering a single layer of non-cohesion soil and the influence of uniform surcharge has been extracted from the 5n equation and 5n unknown parameters. Results of the proposed method illustrated that the location of the surcharge, amount of internal friction and the seismic coefficient have the remarkable effect on the tensile force of reinforcement and might be 2 times increasing on it. Furthermore, outcomes show that the amount of tensile force has directly until 2 times related to the amount of slope angle and its height range. Likewise, it is observed that the highest value of the tensile force in case of slope degree more than 60-degree is observed on the lower layers. While in case of less degree the highest amount of tensile force has been reported on the middle layers and extremely depended to the seismic coefficient. Hence, it has been shown that the tensile force has increased more than 6 times compared with the static condition. The obtained results of the developed procedure were compared with the outcomes of the previous research. A good agreement has been illustrated between the amount results of developed relationships and outcomes of previous research. Maximum 20 and 25 percent difference have been reported in cases of static and seismic condition respectively.

감압 하에서 전해 망간 용탕의 증발거동에 관한 연구 (Study on the Evaporation Behaviour of Electrolytic Manganese Melt Under Reduced Pressure)

  • 홍성훈;전병혁;위창현;신동엽;유병돈;서성모;박종민
    • 대한금속재료학회지
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    • 제47권12호
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    • pp.828-833
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    • 2009
  • As a fundamental study in the development of a distillation process for ferromanganese alloy melts, the evaporation behavior of an electrolytic manganese melt under reduced pressure was investigated. The melt temperature, vacuum degree, surface area of the melt, and reaction time were considered as experimental variables. The amount of vaporized manganese increases linearly as the reaction time increases, and the evaporation of manganese was promoted by increasing the temperature and surface area of the melt. In the pressure range below the equilibrium vapor pressure of manganese, the amount of vaporized manganese per unit surface area of the melt increased sharply with a decrease of the pressure in the reaction chamber. An empirical equation for the evaporation rate of manganese was derived by regression analysis. The evaporation coefficient of manganese was determined to be approximately $3.84{\times}10^{-3}(g{\cdot}K^{1/2})/(Pa{\cdot}cm^2{\cdot}min)$ under the investigated conditions.

Bending of axially functionally graded carbon nanotubes reinforced composite nanobeams

  • Ahmed Drai;Ahmed Amine Daikh;Mohamed Oujedi Belarbi;Mohammed Sid Ahmed Houari;Benoumer Aour;Amin Hamdi;Mohamed A. Eltaher
    • Advances in nano research
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    • 제14권3호
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    • pp.211-224
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    • 2023
  • This work presents a modified analytical model for the bending behavior of axially functionally graded (AFG) carbon nanotubes reinforced composite (CNTRC) nanobeams. New higher order shear deformation beam theory is exploited to satisfy parabolic variation of shear through thickness direction and zero shears at the bottom and top surfaces.A Modified continuum nonlocal strain gradient theoryis employed to include the microstructure and the geometrical nano-size length scales. The extended rule of the mixture and the molecular dynamics simulations are exploited to evaluate the equivalent mechanical properties of FG-CNTRC beams. Carbon nanotubes reinforcements are distributed axially through the beam length direction with a new power graded function with two parameters. The equilibrium equations are derived with associated nonclassical boundary conditions, and Navier's procedure are used to solve the obtained differential equation and get the response of nanobeam under uniform, linear, or sinusoidal mechanical loadings. Numerical results are carried out to investigate the impact of inhomogeneity parameters, geometrical parameters, loadings type, nonlocal and length scale parameters on deflections and stresses of the AFG CNTRC nanobeams. The proposed model can be used in the design and analysis of MEMS and NEMS systems fabricated from carbon nanotubes reinforced composite nanobeam.

입상 활성탄에 의한 Quinoline Yellow의 제거 (Removal of Quinoline Yellow by Granular Activated Carbon)

  • 이종집;이창용
    • 청정기술
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    • 제16권3호
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    • pp.206-212
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    • 2010
  • 본 연구에서는 입상활성탄에 의한 quinoline yellow의 흡착특성을 회분식 흡착과 충전층 흡착을 통해 조사하였다. Quinoline yellow에 대한 활성탄의 흡착능은 산성 pH영역과 보다 높은 흡착온도에 의해 크게 증가하였으며, $60^{\circ}C$, pH 3에서 초기농도(10 mg/L)의 97%를 제거할 수 있었다. 입상활성탄에 대한 quinoline yellow의 흡착평형은 $25{\sim}60^{\circ}C$범위에서 Freundlich의 흡착등온식에 잘 맞았다. 흡착등온식으로부터 평가된 k와 ${\beta}$ 값은 각각 38.71~166.60과 0.380~0.490이었다. 활성탄 충전층에서의 파과곡선은 초기농도, 충전층의 높이, 유입속도 등과 같은 설계변수의 영향을 받았다.

Electronic properties of graphene nanoribbons with Stone-Wales defects using the tight-binding method

  • M.W. Chuan;S.Z. Lok;A. Hamzah;N.E. Alias;S. Mohamed Sultan;C.S. Lim;M.L.P Tan
    • Advances in nano research
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    • 제14권1호
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    • pp.1-15
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    • 2023
  • Driven by the scaling down of transistor node technology, graphene became of interest to many researchers following the success of its fabrication as graphene nanoribbons (GNRs). However, during the fabrication of GNRs, it is not uncommon to have defects within the GNR structures. Scaling down node technology also changes the modelling approach from the classical Boltzmann transport equation to the quantum transport theory because the quantum confinement effects become significant at sub-10 nanometer dimensions. The aim of this study is to examine the effect of Stone-Wales defects on the electronic properties of GNRs using a tight-binding model, based on Non-Equilibrium Green's Function (NEGF) via numeric computation methods using MATLAB. Armchair and zigzag edge defects are also implemented in the GNR structures to mimic the practical fabrication process. Electronic properties of pristine and defected GNRs of various lengths and widths were computed, including their band structure and density of states (DOS). The results show that Stone-Wales defects cause fluctuation in the band structure and increase the bandgap values for both armchair GNRs (AGNRs) and zigzag GNRs (ZGNRs) at every simulated width. In addition, Stone-Wales defects reduce the numerical computation DOS for both AGNRs and ZGNRs. However, when the lengths of the structures increase with fixed widths, the effect of the Stone-Wales defects become less significant.

고정지점을 갖는 낮은 포물선 아치의 면내 좌굴거동 (In-Plane Buckling Behavior of Fixed Shallow Parabolic Arches)

  • 문지호;윤기용;이학은
    • 대한토목학회논문집
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    • 제28권1A호
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    • pp.79-87
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    • 2008
  • 본 논문은 고정지점을 갖는 낮은 아치의 면내 안정성에 관하여 연구를 수행하였다. 연구에 사용된 아치의 형상은 포물선 형태이며, 하중은 등분포 하중이다. 일반 아치의 비선형 지배 미분 방정식을 이용하여 고정지점을 갖는 낮은 아치의 증분 형태 하중-변위 관계와 좌굴 하중을 유도하였다. 연구 결과, 아치의 좌굴형상(대칭 혹은 비대칭 좌굴)은 아치의 라이즈비와 세장비의 함수로 이루어진 무차원 라이즈 H 와 밀접한 관계가 있는 것으로 나타났다. 이 밖에 본 연구에서는 고정지점을 갖는 낮은 아치의 좌굴 형상을 구분하는 경계와 좌굴하중을 제안하였다. 이러한 제안식은 일련의 유한요소해석 결과들과 비교하였으며, 본 연구의 제안식은 고정지점을 갖는 낮은 아치의 좌굴 하중을 적절히 예측할 수 있는 것으로 나타났다.

Influence of flexoelectricity on bending of piezoelectric perforated FG composite nanobeam rested on elastic foundation

  • Ali Alnujaie;Alaa A. Abdelrahman;Abdulrahman M. Alanasari;Mohamed A. Eltaher
    • Steel and Composite Structures
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    • 제49권4호
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    • pp.361-380
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    • 2023
  • A size dependent bending behavior of piezoelectrical flexoelectric layered perforated functionally graded (FG) composite nanobeam rested on an elastic foundation is investigated analytically. The composite beam is composed of regularly cutout FG core and two piezoelectric face sheets. The material characteristics is graded through the core thickness by power law function. Regular squared cutout perforation pattern is considered and closed forms of the equivalent stiffness parameters are derived. The modified nonlocal strain gradient elasticity theory is employed to incorporate the microstructure as well as nonlocality effects into governing equations. The Winkler as well as the Pasternak elastic foundation models are employed to simulate the substrate medium. The Hamiltonian approach is adopted to derive the governing equilibrium equation including piezoelectric and flexoelectric effects. Analytical solution methodology is developed to derive closed forms for the size dependent electromechanical as well as mechanical bending profiles. The model is verified by comparing the obtained results with the available corresponding results in the literature. To demonstrate the applicability of the developed procedure, parametric studies are performed to explore influences of gradation index, elastic medium parameters, flexoelectric and piezoelectric parameters, geometrical and peroration parameters, and material parameters on the size dependent bending behavior of piezoelectrically layered PFG nanobeams. Results obtained revealed the significant effects both the flexoelectric and piezoelectric parameters on the bending behavior of the piezoelectric composite nanobeams. These parameters could be controlled to improve the size dependent electromechanical as well as mechanical behaviors. The obtained results and the developed procedure are helpful for design and manufacturing of MEMS and NEMS.

Static bending response of axially randomly oriented functionally graded carbon nanotubes reinforced composite nanobeams

  • Ahmed Amine Daikh;Ahmed Drai;Mohamed Ouejdi Belarbi;Mohammed Sid Ahmed Houari;Benoumer Aour;Mohamed A. Eltaher;Norhan A. Mohamed
    • Advances in nano research
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    • 제16권3호
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    • pp.289-301
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    • 2024
  • In this work, an analytical model employing a new higher-order shear deformation beam theory is utilized to investigate the bending behavior of axially randomly oriented functionally graded carbon nanotubes reinforced composite nanobeams. A modified continuum nonlocal strain gradient theory is employed to incorporate both microstructural effects and geometric nano-scale length scales. The extended rule of mixture, along with molecular dynamics simulations, is used to assess the equivalent mechanical properties of functionally graded carbon nanotubes reinforced composite (FG-CNTRC) beams. Carbon nanotube reinforcements are randomly distributed axially along the length of the beam. The equilibrium equations, accompanied by nonclassical boundary conditions, are formulated, and Navier's procedure is used to solve the resulting differential equation, yielding the response of the nanobeam under various mechanical loadings, including uniform, linear, and sinusoidal loads. Numerical analysis is conducted to examine the influence of inhomogeneity parameters, geometric parameters, types of loading, as well as nonlocal and length scale parameters on the deflections and stresses of axially functionally graded carbon nanotubes reinforced composite (AFG CNTRC) nanobeams. The results indicate that, in contrast to the nonlocal parameter, the beam stiffness is increased by both the CNTs volume fraction and the length-scale parameter. The presented model is applicable for designing and analyzing microelectromechanical systems (MEMS) and nanoelectromechanical systems (NEMS) constructed from carbon nanotubes reinforced composite nanobeams.

향나무를 활용한 수중에서 메틸렌 블루의 제거 (Removal of Methylene Blue in Water Phase by Using Juniperus chinensis)

  • 최석순;하정협
    • 공업화학
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    • 제29권3호
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    • pp.278-282
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    • 2018
  • 강원지역 산림에서 수목들의 가지치기로 인하여 발생되는 목재 폐기물의 재활용 처리 기술 개발이 요구되고 있다. 본 연구에서는 3종류(낙엽송, 향나무, 소나무) 폐목재를 활용한 흡착 실험에 의하여 수중에 함유된 메틸렌 블루의 제거능력이 우수한 생물흡착제로 향나무를 선별하였다. 그리고, 메틸렌 블루 제거효율을 향상하고자 0.4 g/100 mL의 향나무를 주입하여 반응 4 h 흡착하였을 때, 수중에 용해된 100, 200, 300 mg/L의 메틸렌 블루는 각각 98, 93, 81%의 제거효율을 나타내었다. 흡착제 농도 변화에 의한 흡착평형 자료들은 Freundlich식보다 Langmuir식에 잘 부합됨을 알 수 있었다. 또한, 메틸렌 블루 농도 변화에 의한 동력학적 실험으로부터, 생물흡착 속도식은 유사 2차 반응식에 보다 적합함을 알 수 있었다. 고농도 메틸렌의 블루 제거능력을 증가시키기 위하여, 300과 400 mg/L 메틸렌 블루를 210 rpm 교반속도로 4 h 운전하였을 때, 각각 92, 76% 제거효율을 나타내었다. 따라서 이러한 실험 결과들은 수중에 용해된 메틸렌 블루를 경제적으로 처리하는 새로운 생물흡착 기술에 유용하게 사용될 수 있을 것이다.

동결건조 분말된장의 흡습 거동에 대한 속도론적 연구 (Kinetic Study for Hygroscopic Behavior of Freeze Dried Soy Paste Powder)

  • 황응수;이철원;유주현;이신영
    • 한국식품과학회지
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    • 제19권3호
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    • pp.231-238
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    • 1987
  • 서로 다른 외관색택을 갖는 (적갈색 및 담백색) 2종의 된장을 동결건조하고 분말화 하였다. 이들의 흡습거동을 여러 수분찰성도$(0.11{\sim}0.88)$ 및 서로 다른 세온도(25, 40 및 $50^{\circ}C$)에서 조사하였으며, 품질 특성 및 저장안정성의 관점에서 동력학적 및 열역학적 해석을 하였다. 시료 분말된장의 등온수분흡착은 BET분류에 따른 typell에 속하였고, Henderson의 경험식으로 잘 설명할 수 있었다. Caurie식으로부터 계산한 저장 안전수분량은 온도에 의존하였으며 $5.5{\sim}3.98%$(건량기준)범위 이었다. 수분흡습과정은 평형수분함량과 임의의 수분함량과의 차이에 대한 1차 속도식에 따랐으며, 초기에 높은 흡습성을 나타내는 특징을 보였다. 분산성 및 색차의 변화는 저장수분활성도에 민감한 의존성을 보였으며, 최대의 저장안정성은 저장안전 수분함량수준에서 나타났다. 또한, 수분함량에 대한 열역학적 변수의 변화도 저장안전 수분함량수준에서 유의성이 있었으며, 분말된장이 저장안정성과 높은 상관성을 갖는 것으로 나타났다.

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