• 제목/요약/키워드: Finite groups

검색결과 365건 처리시간 0.029초

Development of fragility curves for RC bridges subjected to reverse and strike-slip seismic sources

  • Mosleh, Araliya;Razzaghi, Mehran S.;Jara, Jose;Varum, Humberto
    • Earthquakes and Structures
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    • 제11권3호
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    • pp.517-538
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    • 2016
  • This paper presents a probabilistic fragility analysis for two groups of bridges: simply supported and integral bridges. Comparisons are based on the seismic fragility of the bridges subjected to accelerograms of two seismic sources. Three-dimensional finite-element models of the bridges were created for each set of bridge samples, considering the nonlinear behaviour of critical bridge components. When the seismic hazard in the site is controlled by a few seismic sources, it is important to quantify separately the contribution of each fault to the structure vulnerability. In this study, seismic records come from earthquakes that originated in strike-slip and reverse faulting mechanisms. The influence of the earthquake mechanism on the seismic vulnerability of the bridges was analysed by considering the displacement ductility of the piers. An in-depth parametric study was conducted to evaluate the sensitivity of the bridges' seismic responses to variations of structural parameters. The analysis showed that uncertainties related to the presence of lap splices in columns and superstructure type in terms of integral or simply supported spans should be considered in the fragility analysis of the bridge system. Finally, the fragility curves determine the conditional probabilities that a specific structural demand will reach or exceed the structural capacity by considering peak ground acceleration (PGA) and acceleration spectrum intensity (ASI). The results also show that the simply supported bridges perform consistently better from a seismic perspective than integral bridges and focal mechanism of the earthquakes plays an important role in the seismic fragility analysis of highway bridges.

가우스 괄호법을 이용한 줌 렌즈의 조출량에 대한 수치해석 계산법 (Numerical Calculation for Autofocus of Zoom Lenses by Using Gaussian Brackets)

  • 조재흥;이도경;이상은;류재명;이해진;강건모
    • 한국광학회지
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    • 제20권3호
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    • pp.166-174
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    • 2009
  • 유한 물점의 줌 렌즈에서 물체거리가 변할 때에 전체 줌 렌즈의 각 군을 모두 움직이지 않고 특정한 한 개의 렌즈군(조출군)을 이동시켜서 고정된 상면에 결상시킬 수 있다. 이 조출군의 이동량(조출량)을 가우스 괄호법과 근축광선 추적식의 행렬표기법을 이용하여 이론적으로 유도하고, 수치해석적으로 이 조출량을 구하였다. 이 방법은 물체의 거리에 관계없이 모든 종류의 유한물점 줌 렌즈의 조출량에 대한 초기설계에 대해서 유연하면서 통합적으로 적용할 수 있다. 이를 증명하기 위하여 줌 렌즈에서 가장 복잡한 $M_{5n}$ 형태의 5군 줌 렌즈에 적용하여 조출량을 빠르게 신출할 수 있음을 보였다.

휨을 받는 두꺼운 균열판의 전단변형을 고려한 p-Version 유한요소모델 (p-Version Finite Element Model of Cracked Thick Plates Including Shear Deformation under Flexure)

  • 이채규;우광성;신영식
    • 대한토목학회논문집
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    • 제14권6호
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    • pp.1289-1298
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    • 1994
  • 휨거동을 받는 두꺼운 균열판의 응력확대계수를 산정할 수 있는 새로운 p-version 균열모델이 제시되었다. 제안된 모델에서는 고차이론과 전단변형을 고려할 수 있는 $C^{\circ}$-평판요소가 사용되었다. 임의의 변위장은 적분형 르장드르 다항식에 의해 정의되는데 이 다항식은 기본 모우드, 주변 모우드와 내부 모우드으로 구성되어 있다. 컴퓨터 프로그램에는 최고 10차까지의 적분형 르장드르 함수를 자유스럽게 사용할 수 있게 하였으며 응력확대계수는 가상균열전진법에 의해 계산되었다. 본 연구에서는 평판의 두께와 폭에 대한 균열진전길이의 변화와 경계조건의 변화에 따른 응력확대계수의 영향이 조사되었으며 모멘트 하중을 재하받는 균열판과 균열이 없는 평판의 해석이 기존의 문헌에 발표된 이론값과 유한요소해석 결과와 비교되어 높은 정확도를 보여주고 있다.

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Interaction analysis of three storeyed building frame supported on pile foundation

  • Rasal, S.A.;Chore, H.S.;Sawant, V.A.
    • Coupled systems mechanics
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    • 제7권4호
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    • pp.455-483
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    • 2018
  • The study deals with physical modeling of a typical three storeyed building frame supported by a pile group of four piles ($2{\times}2$) embedded in cohesive soil mass using three dimensional finite element analysis. For the purpose of modeling, the elements such as beams, slabs and columns, of the superstructure frame; and that of the pile foundation such as pile and pile cap are descretized using twenty noded isoparametric continuum elements. The interface between the pile and the soil is idealized using sixteen node isoparametric surface element. The soil elements are modeled using eight nodes, nine nodes and twelve node continuum elements. The present study considers the linear elastic behaviour of the elements of superstructure and substructure (i.e., foundation). The soil is assumed to behave non-linear. The parametric study is carried out for studying the effect of soil- structure interaction on response of the frame on the premise of sub-structure approach. The frame is analyzed initially without considering the effect of the foundation (non-interaction analysis) and then, the pile foundation is evaluated independently to obtain the equivalent stiffness; and these values are used in the interaction analysis. The spacing between the piles in a group is varied to evaluate its effect on the interactive behaviour of frame in the context of two embedment depth ratios. The response of the frame included the horizontal displacement at the level of each storey, shear force in beams, axial force in columns along with the bending moments in beams and columns. The effect of the soil- structure interaction is observed to be significant for the configuration of the pile groups and in the context of non-linear behaviour of soil.

인공치와 의치상의 재질에 따른 의치상 하부 지지조직에의 응력전달에 관한 연구 (A STUDY OF THE STRESS TRANSMISSION OF VARIOUS ARTIFICIAL TEETH AND DENTURE BASE MATERIALS TO THE UNDER-LYING SUPPORTING TISSUES)

  • 정형곤;정문규;이호용
    • 대한치과보철학회지
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    • 제27권2호
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    • pp.79-100
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    • 1989
  • The Purpose of this study was to investigate material differences in stress transmission among various artificial teeth and denture base materials. For this study, a two-dimensional finite element model and a two-dimensional photoelastic model of a mandible with complete denture were made. A resin tooth and a porcelain tooth were used as artificial teeth, and a resin base, a metal lined base, and a soft-liner lined base were used as denture bases. An occlusal load was applied and principal stresses generated in the supporting tissues were compared. To test the impact stress transmission, strain gauge attached to the denture base specimens made of the different materials were made in thick and thin groups. Voltage outputs from hitting the specimen with a steel ball were compared. The results were as follows : 1. In FEM, increasing the mucosal thickness reduced the maximum principal stresses in the supporting tissues, but altering the tooth materials and the base materials induced no difference in the stresses. 2. In photoelastic model study, no difference in fringe order among the specimens were observed, but the thick mucosa group and the soft-liner lined group revealed a more uniform distribution of the load. 3. In strain measuring, the impact force transmission was highest in the soft-liner lined group, and was the lowest in the metal lined group(p<0.01). 4. In the thin group using the resin base, the porcelain tooth showed higher impact stress transmission than the resin tooth(p<0.01), but no difference was observed between them in the thick group. In the soft-liner lined group, the porcelain tooth showed higher impact stress transmission than the resin tooth(p<0.01), but no difference was observed between them in the metal lined group. 5. The thick group showed lower impact stress transmission than the thin group(p<0.01).

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Comparative analysis of transmittance for different types of commercially available zirconia and lithium disilicate materials

  • Harianawala, Husain Hatim;Kheur, Mohit Gurunath;Apte, Sanjay Krishnaji;Kale, Bharat Bhanudas;Sethi, Tania Sanjeev;Kheur, Supriya Mohit
    • The Journal of Advanced Prosthodontics
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    • 제6권6호
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    • pp.456-461
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    • 2014
  • PURPOSE. Translucency and colour stability are two most important aspects for an aesthetic dental restoration. Glass ceramic restorations are popular amongst clinicians because of their superior aesthetic properties. In the last decade, zirconia has generated tremendous interest due to its favorable mechanical and biological properties. However, zirconia lacks the translucency that lithium disilicate materials possess and therefore has limitations in its use, especially in esthetically demanding situations. There has been a great thrust in research towards developing translucent zirconia materials for dental restorations. The objective of the study was to evaluate and compare the transmittance of a translucent variant of zirconia to lithium disilicate. MATERIALS AND METHODS. Two commercially available zirconia materials (conventional and high translucency) and 2 lithium disilicate materials (conventional and high translucency) with standardized dimensions were fabricated. Transmittance values were measured for all samples followed by a microstructural analysis using a finite element scanning electron microscope. One way analysis of variance combined with a Tukey-post hoc test was used to analyze the data obtained (P=.05). RESULTS. High translucency lithium disilicate showed highest transmittance of all materials studied, followed by conventional lithium disilicate, high translucency zirconia and conventional zirconia. The difference between all groups of materials was statistically significant. The transmittance of the different materials correlated to their microstructure analysis. CONCLUSION. Despite manufacturers' efforts to make zirconia significantly more translucent, the transmittance values of these materials still do not match conventional lithium disilicate. More research is required on zirconia towards making the material more translucent for its potential use as esthetic monolithic restoration.

Soil-structure-foundation effects on stochastic response analysis of cable-stayed bridges

  • Kuyumcu, Zeliha;Ates, Sevket
    • Structural Engineering and Mechanics
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    • 제43권5호
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    • pp.637-655
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    • 2012
  • In this study, stochastic responses of a cable-stayed bridge subjected to the spatially varying earthquake ground motion are investigated by the finite element method taking into account soil-structure interaction (SSI) effects. The considered bridge in the analysis is Quincy Bay-view Bridge built on the Mississippi River in between 1983-1987 in Illinois, USA. The bridge is composed of two H-shaped concrete towers, double plane fan type cables and a composite concrete-steel girder deck. In order to determine the stochastic response of the bridge, a two-dimensional lumped masses model is considered. Incoherence, wave-passage and site response effects are taken into account for the spatially varying earthquake ground motion. Depending on variation in the earthquake motion, the response values of the cable-stayed bridge supported on firm, medium and soft foundation soil are obtained, separately. The effects of SSI on the stochastic response of the cable-stayed bridge are also investigated including foundation as a rigidly capped vertical pile groups. In this approach, piles closely grouped together beneath the towers are viewed as a single equivalent upright beam. The soil-pile interaction is linearly idealized as an upright beam on Winkler foundation model which is commonly used to study the response of single piles. A sufficient number of springs on the beam should be used along the length of the piles. The springs near the surface are usually the most important to characterize the response of the piles surrounded by the soil; thus a closer spacing may be used in that region. However, in generally springs are evenly spaced at about half the diameter of the pile. The results of the stochastic analysis with and without the SSI are compared each other while the bridge is under the sway of the spatially varying earthquake ground motion. Specifically, in case of rigid towers and soft soil condition, it is pointed out that the SSI should be significantly taken into account for the design of such bridges.

한국의 지반거동을 고려한 교량과 송전철탑의 지진취약도 분석 (Seismic Fragilities of Bridges and Transmission Towers Considering Recorded Ground Motions in South Korea)

  • 박효상;응웬 두이-두안;이태형
    • 한국지진공학회논문집
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    • 제20권7_spc호
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    • pp.435-441
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    • 2016
  • The Korean peninsula has known as a minor-to-moderate seismic region. However, some recent studies had shown that the maximum possible earthquake magnitude in the region is approximately 6.3-6.5. Therefore, a seismic vulnerability assessment of the existing infrastructures considering ground motions in Korea is necessary. In this study, we developed seismic fragility curves for a continuous steel box girder bridge and two typical transmission towers, in which a set of seven artificial and natural ground motions recorded in South Korea is used. A finite element simulation framework, OpenSees, is utilized to perform nonlinear time history analyses of the bridge and a commercial software, SAP2000, is used to perform time history analyses of the transmission towers. The fragility curves based on Korean ground motions were then compared with the fragility curves generated using worldwide ground motions to evaluate the effect of the two ground motion groups on the seismic fragility curves of the structures. The results show that both non-isolated and base-isolated bridges are less vulnerable to the Korean ground motions than to worldwide earthquakes. Similarly to the bridge case, the transmission towers are safer during Korean motions than that under worldwide earthquakes in terms of fragility functions.

Axial compressive behavior of special-shaped concrete filled tube mega column coupled with multiple cavities

  • Wu, Haipeng;Qiao, Qiyun;Cao, Wanlin;Dong, Hongying;Zhang, Jianwei
    • Steel and Composite Structures
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    • 제23권6호
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    • pp.633-646
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    • 2017
  • The compressive behavior of special-shaped concrete filled tube (CFT) mega column coupled with multiple cavities is studied by testing six columns subjected to cyclically uniaxial compressive load. The six columns include three pentagonal specimens and three hexagonal specimens. The influence of cavity construction, arrangement of reinforcement, concrete strength on failure feature, bearing capacity, stiffness, and residual deformation is examined. Experimental results show that cavity construction and reinforcements make it possible to form a combined confinement effect to in-filled concrete, and the two groups of special-shaped CFT columns show good elastic-plastic compressive behavior. As there is no axial bearing capacity calculation method currently available in any Code of practice for special-shaped CFT columns, values predicted by normal CFT column formulas in GB50936, CECS254, ACI-318, EC4, AISCI-LRFD, CECS159, and AIJ are compared with tested values. The calculated values are lower than the tested values for most columns, thus the predicted bearing capacity is safe. A reasonable calculation method by dividing concrete into active and inactive confined regions is proposed. And high accuracy shows in estimating special-shaped CFT columns either coupled with multiple cavities or not. In addition, a finite element method (FEM) analysis is conducted and the simulated results match the test well.

Two More Radicals for Right Near-Rings: The Right Jacobson Radicals of Type-1 and 2

  • Rao, Ravi Srinivasa;Prasad, K. Siva
    • Kyungpook Mathematical Journal
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    • 제46권4호
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    • pp.603-613
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    • 2006
  • Near-rings considered are right near-rings and R is a near-ring. $J_0^r(R)$, the right Jacobson radical of R of type-0, was introduced and studied by the present authors. In this paper $J_1^r(R)$ and $J_2^r(R)$, the right Jacobson radicals of R of type-1 and type-2 are introduced. It is proved that both $J_1^r$ and $J_2^r$ are radicals for near-rings and $J_0^r(R){\subseteq}J_1^r(R){\subseteq}J_2^r(R)$. Unlike the left Jacobson radical classes, the right Jacobson radical class of type-2 contains $M_0(G)$ for many of the finite groups G. Depending on the structure of G, $M_0(G)$ belongs to different right Jacobson radical classes of near-rings. Also unlike left Jacobson-type radicals, the constant part of R is contained in every right 1-modular (2-modular) right ideal of R. For any family of near-rings $R_i$, $i{\in}I$, $J_{\nu}^r({\oplus}_{i{\in}I}R_i)={\oplus}_{i{\in}I}J_{\nu}^r(R_i)$, ${\nu}{\in}\{1,2\}$. Moreover, under certain conditions, for an invariant subnear-ring S of a d.g. near-ring R it is shown that $J_2^r(S)=S{\cap}J_2^r(R)$.

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