• Title/Summary/Keyword: behavior in the transverse direction

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Warping and porosity effects on the mechanical response of FG-Beams on non-homogeneous foundations via a Quasi-3D HSDT

  • Mokhtar Nebab;Hassen Ait Atmane;Riadh Bennai;Mouloud Dahmane
    • Structural Engineering and Mechanics
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    • v.90 no.1
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    • pp.83-96
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    • 2024
  • This paper suggests an analytical approach to investigate the free vibration and stability of functionally graded (FG) beams with both perfect and imperfect characteristics using a quasi-3D higher-order shear deformation theory (HSDT) with stretching effect. The study specifically focuses on FG beams resting on variable elastic foundations. In contrast to other shear deformation theories, this particular theory employs only four unknown functions instead of five. Moreover, this theory satisfies the boundary conditions of zero tension on the beam surfaces and facilitates hyperbolic distributions of transverse shear stresses without the necessity of shear correction factors. The elastic medium in consideration assumes the presence of two parameters, specifically Winkler-Pasternak foundations. The Winkler parameter exhibits variable variations in the longitudinal direction, including linear, parabolic, sinusoidal, cosine, exponential, and uniform, while the Pasternak parameter remains constant. The effective material characteristics of the functionally graded (FG) beam are assumed to follow a straightforward power-law distribution along the thickness direction. Additionally, the investigation of porosity includes the consideration of four different types of porosity distribution patterns, allowing for a comprehensive examination of its influence on the behavior of the beam. Using the virtual work principle, equations of motion are derived and solved analytically using Navier's method for simply supported FG beams. The accuracy is verified through comparisons with literature results. Parametric studies explore the impact of different parameters on free vibration and buckling behavior, demonstrating the theory's correctness and simplicity.

Inelastic Seismic Behavior of Low-story Standard School Buildings according to Characteristics of Earthquake Loads and Hysteresis Models (지진하중의 특성과 이력모델에 따른 저층 표준학교건물의 비탄성 지진거동)

  • Kim, Jin-Sang;Yoon, Tae-Ho
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.9
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    • pp.4294-4301
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    • 2012
  • The inelastic response characteristics of the standard school buildings depending on selection of hysteresis models and variable earthquakes are studied. Three earthquake records of El-centro, Santa-Monica, Taft in accordance with KBC2009 standard and four inelastic hysteresis models such as Degrading tri-linear model, Clough model, Takeda model, and Modified Takeda model are used. The inelastic response characteristics such as story shear force, story drift ratio, story displacement are reviewed. As results, El-centro earthquake shows large response in transverse direction and Santa Monica earthquake shows larger response in longitudinal direction on the contrary. Taft earthquake shows less variation of story drift ratio and story displacement for all hysteresis models and stable response.

Early Age Behavior of Thin Bonded Continuously Reinforced Concrete Overlay on Aged Jointed Plain Concrete Pavement (노후 줄눈 콘크리트 포장 보수를 위한 얇은 연속 철근 콘크리트 덧씌우기 포장의 초기거동 평가)

  • Ryu, Sung-Woo;Nam, Jung-Hee;Kim, Ki-Heun;Cho, Yoon-Ho
    • International Journal of Highway Engineering
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    • v.11 no.2
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    • pp.121-132
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    • 2009
  • Thin bonded continuously reinforced concrete overlay(CRCO) was constructed on He existing jointed plain concrete pavement(HCP) surface at Seo-Hae-Ahn express highway in South Korea in order to evaluate its applicability and performance. Two sections of road were considered for this evaluation. In the first section, the concrete overlayer was placed and cut down to the existing layer to form transverse joints while CRCO was constructed on top of the existing layer in the second section. Early strength concrete(Type III) was utilized for both overlay sections. The depth of milling and the thickness of overlaid layer were 5 cm and 10 cm, respectively. Several vibrating wire gauges(VWG) were installed to evaluate the performance of CRCO with respect to curling, delamination, and crack propagation. As a result of the strength test, it was found that strength of the material reaches the design criteria within 1-3 days. Analysis with vibrating wire gauge(VWG) showed CRCO effectively restricts joint movement. High adhesive strength also was observed from the material regardless of length of aging. Meanwhile, transverse cracks were observed on the middle of the section where JPCP overlay was applied whereas arbitrarily cracks in transverse direction were observed on the section where CRCP was applied.

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A Study on the Behavior of Steel Curved Girder Bridge during Construction (곡선 강박스 거더교의 가설중 거동 파악 연구)

  • Gil, Heung Bae;Pae, Chang Kyu;Kang, Sang Gyu
    • Journal of Korean Society of Steel Construction
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    • v.17 no.5 s.78
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    • pp.511-518
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    • 2005
  • The behavior of steel curved bridges is more complicated than straight bridges, thus the analysis, design and construction process of curved bridges require much more attention. In design of curved bridges, the grillage analysis using general structural analysis program or special program is mainly used. Comparative study in coherence between these analytical results and actual behavior of curved bridges has been rarely conducted. To study the behaviour of curved bridges and verify the current design method, field measurements and analyses using general structural analysis program and 3-D refined analysis program were carried out for simple and continuous bridges in this study. The study focused on the behavior of curved steel bridges during construction. Measured and analytical results had quantitative difference mutually, but there were qualitatively similar. Stress variations in transverse direction of flange were observed and grillage analysis models yielded more conservative values than 3-D refined analysis models.

Analysis of Strengthening Veriables for Strengthened Bridge Decks by Externally Bonded Sheet (보강판으로 외부부착 보강된 교량 바닥판의 성능향상을 위한 변수 해석)

  • 심종성;오흥섭
    • Journal of the Korea Concrete Institute
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    • v.14 no.4
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    • pp.556-565
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    • 2002
  • The concrete bridge decks on the main girder will usually develop initial cracks in the longitudinal or the transverse direction due to dry shrinkage and temperature change, and as the bridge decks age the crack will gradually develop in different directions due to repeated cyclic loads. The strengthening direction of the concrete bridge deck is a very important factor in improving proper structural behavior. Therefore, in this study, theoretical analyses of strengthened bridge decks were performed using the nonlinear finite element method. To improve the accuracy of the analytical result, boundary conditions and material property of strengthening material was simulated by laboratory condition and test results, respectively. The effect of the strengthening direction and the amount of strengthening material were estimated and compared to the experimental results. The efficiency of the strengthened bridge decks by strengthening variables such as the amount, width and thickness of CFS was observed.

Investigation of the mechanical behavior of functionally graded sandwich thick beams

  • Mouaici, Fethi;Bouadi, Abed;Bendaida, Mohamed;Draiche, Kada;Bousahla, Abdelmoumen Anis;Bourada, Fouad;Tounsi, Abdelouahed;Ghazwani, Mofareh Hassan;Alnujaie, Ali
    • Steel and Composite Structures
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    • v.44 no.5
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    • pp.721-740
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    • 2022
  • In this paper, an accurate kinematic model has been developed to study the mechanical response of functionally graded (FG) sandwich beams, mainly covering the bending, buckling and free vibration problems. The studied structure with homogeneous hardcore and softcore is considered to be simply supported in the edges. The present model uses a new refined shear deformation beam theory (RSDBT) in which the displacement field is improved over the other existing high-order shear deformation beam theories (HSDBTs). The present model provides good accuracy and considers a nonlinear transverse shear deformation shape function, since it is constructed with only two unknown variables as the Euler-Bernoulli beam theory but complies with the shear stress-free boundary conditions on the upper and lower surfaces of the beam without employing shear correction factors. The sandwich beams are composed of two FG skins and a homogeneous core wherein the material properties of the skins are assumed to vary gradually and continuously in the thickness direction according to the power-law distribution of volume fraction of the constituents. The governing equations are drawn by implementing Hamilton's principle and solved by means of the Navier's technique. Numerical computations in the non-dimensional terms of transverse displacement, stresses, critical buckling load and natural frequencies obtained by using the proposed model are compared with those predicted by other beam theories to confirm the performance of the proposed theory and to verify the accuracy of the kinematic model.

A Study on the Optimum Design and Structural Behaviors of Aluminium Extrusions (알루미늄 압출재의 구조적 거동 특성 및 최적설계에 관한 연구)

  • S.I. Seo;K.H. Son
    • Journal of the Society of Naval Architects of Korea
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    • v.35 no.1
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    • pp.88-97
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    • 1998
  • Large aluminium extrusions can be used in rolling stocks and high speed vessels to reduce weight and labor cost. As sandwich plates with corrugated core have enough strength in transverse and longitudinal direction, welding lines to connect members are reduced and transverse members to strength longitudinal members are not required. However, for proper design of aluminium extrusion plates, understanding of structural behaviors of the exclusions are necessary. In this paper, at first, detailed finite element analysis is carried out to understand structural behavior. And then, simple theoretical formulas for design purpose are proposed using the orthotropic plate theory. Shear stresses resulting from end twisting which is characteristics of deep aluminium extrusion plates can also be calculated by the simple theoretical formula. Comparison with the results by detailed finite element analysis shows good accuracy of the proposed simple formulas. The simple formulas can be useful in repetitive analysis in the initial design stage.

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A Study on the Behavioral Characteristics of Bellows for Expansion Joints (신축이음용 벨로우즈의 거동특성에 관한 연구)

  • Jeong, Doo-Hyung;Chin, Do-Hun;Kim, Byung-Tak
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.19 no.10
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    • pp.52-58
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    • 2020
  • Bellows are corrugated mechanical elements used to absorb displacements or vibrations caused by temperature changes, pressure, earthquakes, waves, etc., which are welded to flanges or directly connected to pipes. Expansion joint bellows must not only be designed to sufficiently withstand the internal pressure of the pipes but also accommodate axial, transverse, and rotational deformations to minimize the transfer of forces to the sensitive components of the system. Bellows have various types of corrugations, but U-type bellows are most commonly used in general piping systems. In this study, the behavior of U-shaped one-, two-, and three-ply bellows with the same inner diameter under pressure and forced displacement was analyzed using the finite element method. The results were compared with the design formula in the Expansion Joint Manufacturers Association (EJMA)'s code. Manufacturer data were used for the applied pressure and force displacement. The behavioral characteristics of the three cases were compared via structural analysis because the stress levels will be different for each model, even if they have the same inner diameter. Since the analytical model has an axisymmetric shape but displacement occurs in the transverse direction, the finite element model was composed of 1/2 of the whole model, and ANSYS Workbench 17.2 was employed for the analysis.

Study on the Anisotropic Size Change by Austenitizing and Tempering Heat Treatment of STD11 Tool Steel Using Dilatometry (딜라토미터를 이용한 STD11 공구강의 오스테나이징 및 템퍼링 열처리에 따른 치수 변화 이방성 연구)

  • Hong, Ki-Jung;Kang, Won-Guk;Song, Jin-Hwa;Chung, In-Sang;Lee, Kee-Ahn
    • Korean Journal of Metals and Materials
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    • v.46 no.12
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    • pp.800-808
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    • 2008
  • Heat treatment is an important step for tool manufacture, but unavoidably generates dimensional distortion. This study investigated the continuous dimensional change and the anisotropic behavior of STD11 tool steel during austenitizing and tempering heat treatment especially using quenching dilatometer. Dilatometric results represented that the dimensional change along longitudinal direction was larger than that along transverse direction. Anisotropic phase transformation strain was produced in forged STD11 tool steel during heat treatment. Anisotropic dimensional change increased with increasing austenitizing temperature. After tempering, anisotropic distortion was partially reduced. FactSage thermodynamic equilibrium phase simulation and microstructural observation (FE-SEM, TEM) showed that large ($7{\sim}80{\mu}m$) elongated $M_7C_3$ carbides could be formed along rolling direction. The resolution of elongated carbides during austenitizing was found to be related with the change of martensite transformation temperature after heat treatment. Anisotropic size change of STD11 tool steel was mainly attributed to large elongated carbides produced during rolling process. Using dilatometric and metallographic examination, the possible mechanism of the anisotropic size change was also discussed.

Optimization of Fiber Ratio in Laminated Composites for Development of Three-dimensional Preform T-beam Structure (3차원 프리폼 T-빔 구조물의 개발을 위한 적층복합재료 섬유비율의 최적화)

  • Lee, Dong-Woo;Kim, Chang-Uk;Byun, Joon-Hyung;Song, Jung-Il
    • Composites Research
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    • v.30 no.5
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    • pp.297-302
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    • 2017
  • Finite element analysis of T-beam laminate structure under bending-torsional loading was conducted to prevent the delamination which is the major failure behavior on laminated composites. Three-dimensional preform, which is that fabric is braided through thickness direction, is suggested from the laminate analysis. The analysis aimed to optimize the fiber ratio in laminated composites. After it is suggested that guideline for design of T-beam structure using commercial software ANSYS Composites PrePost. The results show that strength of T-beam structure is increased 21.6% when the fiber density along with beam length direction is two times bigger than transverse direction. It is expected that development of high strength T-beam structure using designed three-dimensional preform.