• 제목/요약/키워드: Normal element

검색결과 1,208건 처리시간 0.036초

Settlement analysis of pile cap with normal and under-reamed piles

  • Kumar, Madisetti Pavan;Raju, P. Markandeya;Jasmine, G. Vincent;Aditya, Mantini
    • Computers and Concrete
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    • 제25권6호
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    • pp.525-535
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    • 2020
  • The use of pile foundations has become more popular in recent years, as the combined action of the pile cap and the piles can increase the bearing capacity, reduce settlement, and the piles can be arranged so as to reduce differential deflection in the pile cap. Piles are relatively long, slender members that transmit foundation loads through soil strata of low bearing capacity to deeper soil or rock strata having a high bearing capacity. In this study analysis of pile cap with considering different parameters like depth of the pile cap, width and breadth of the pile cap, type of piles and different types of soil which affect the behaviour of pile cap foundation is carried out by using Finite Element Software ANSYS. For understanding the settlement behaviour of pile cap foundation, parametric studies have been carried out in four types of clay by varying pile cap dimensions with two types of piles namely normal and under-reamed piles for different group of piles. Furthermore, the analysis results of settlement and stress values for the pile cap with normal and under-reamed piles are compared. From the study it can be concluded that settlement values of pile cap with under-reamed pile are less than the settlements of pile cap with normal pile. It means that the ultimate load bearing capacity of pile cap with under-reamed piles are greater than the pile cap with normal piles.

Geometrically non-linear static analysis of a simply supported beam made of hyperelastic material

  • Kocaturk, T.;Akbas, S.D.
    • Structural Engineering and Mechanics
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    • 제35권6호
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    • pp.677-697
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    • 2010
  • This paper focuses on geometrically non-linear static analysis of a simply supported beam made of hyperelastic material subjected to a non-follower transversal uniformly distributed load. As it is known, the line of action of follower forces is affected by the deformation of the elastic system on which they act and therefore such forces are non-conservative. The material of the beam is assumed as isotropic and hyperelastic. Two types of simply supported beams are considered which have the following boundary conditions: 1) There is a pin at left end and a roller at right end of the beam (pinned-rolled beam). 2) Both ends of the beam are supported by pins (pinned-pinned beam). In this study, finite element model of the beam is constructed by using total Lagrangian finite element model of two dimensional continuum for a twelve-node quadratic element. The considered highly non-linear problem is solved by using incremental displacement-based finite element method in conjunction with Newton-Raphson iteration method. In order to use the solution procedures of Newton-Raphson type, there is need to linearized equilibrium equations, which can be achieved through the linearization of the principle of virtual work in its continuum form. In the study, the effect of the large deflections and rotations on the displacements and the normal stress and the shear stress distributions through the thickness of the beam is investigated in detail. It is known that in the failure analysis, the most important quantities are the principal normal stresses and the maximum shear stress. Therefore these stresses are investigated in detail. The convergence studies are performed for various numbers of finite elements. The effects of the geometric non-linearity and pinned-pinned and pinned-rolled support conditions on the displacements and on the stresses are investigated. By using a twelve-node quadratic element, the free boundary conditions are satisfied and very good stress diagrams are obtained. Also, some of the results of the total Lagrangian finite element model of two dimensional continuum for a twelve-node quadratic element are compared with the results of SAP2000 packet program. Numerical results show that geometrical nonlinearity plays very important role in the static responses of the beam.

C0-type Reddy's theory for composite beams using FEM under thermal loads

  • Fan, Xiaoyan;Wu, Zhen
    • Structural Engineering and Mechanics
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    • 제57권3호
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    • pp.457-471
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    • 2016
  • To analyze laminated composite and sandwich beams under temperature loads, a $C^0$-type Reddy's beam theory considering transverse normal strain is proposed in this paper. Although transverse normal strain is taken into account, the number of unknowns is not increased. Moreover, the first derivatives of transverse displacement have been taken out from the in-plane displacement fields, so that the $C^0$ interpolation functions are only required for the finite element implementation. Based on the proposed model, a three-node beam element is presented for analysis of thermal responses. Numerical results show that the proposed model can accurately and efficiently analyze the thermoelastic problems of laminated composites.

TiN 박막의 탄소성 유한요소해석 (Elastic-Plastic Finite Element Analysis of TiN Thin Film)

  • 김정실;김석삼
    • 한국윤활학회:학술대회논문집
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    • 한국윤활학회 2001년도 제34회 추계학술대회 개최
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    • pp.331-340
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    • 2001
  • Elastic-Plasitc Finite element analysis is peformed about the TiN coated medium. The normal contact is simulated by a rigid asperity pressing the surface of an elastic-plastic half-surface. The case of a surface film stiffer than the substrate is considered, and general solutions for the subsurface stress and deformation fields are presented for several coating thickness. Additionally, the critical normal loads for deformation in the substrate and coating fracture are calculated when the yield of TiN film follows the Maximum Principal Stress Theory and Von Mises Theory. The results can be subsumed in failure maps for TiN thin film on steel.

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다실 박스거더의 뒤틀림에 저항하는 강성 산정 (Evaluation of Stiffness Resisting Distortion of Multicell Box Girder)

  • 박남희;최영준;한금호;강영종
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2002년도 가을 학술발표회 논문집
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    • pp.435-442
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    • 2002
  • In a multicell box structure, distortional warping normal stress due to warping of cross section and transverse bending normal stress of walls due to distortion of cross section may consider as significant stresses unless distortion of box section is appropriately restricted. Nevertheless, during the past decades, no evaluation of distortional warping and transverse bending resistances for the multicell box section has been performed owing to geometric complexity and Insufficient information with respect to the distortion of multicell box section. The objective of present study is to evaluate the distortional warping and transverse bending resistances for the distortion of multicell box section and to validate the resistances through box girder analyses using multicell box beam element developed and conventional shell element. This developed box beam element has nine degrees of freedom per node including the effect of distortion.

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FEM을 이용한 구체무단변속기의 응력해석 (Stress Analysis of the S-CVT using Finite Element Method)

  • 김정윤
    • 동력기계공학회지
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    • 제12권2호
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    • pp.41-47
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    • 2008
  • This article deals with the stress analysis of the friction drive, which transmits the power via the rolling resistance on the contract area between the two rotating bodies. On the contact area, friction drives are normally involved with shear stress due to the transmitted force, as well as normal stress. Thus the stress analysis including the shear stress is necessary for the design of the friction drive. Hertzian results can be used to estimate the normal stress distribution and elastic deflection of the contact area, although the shear stress distribution is not well defined. In order to investigate the shear stress distribution and its effects in a friction drive, we have performed the stress analysis of the spherical continuously variable transmission(CVT) using finite element method. The spherical CVT is one of friction drives, which is used in small power applications. The numerical results show that the normal stress distribution is not affected by the transmitted shear force, and the maximal shear stress is increased in small amount along with the shear force.

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공극 길이 차이가 양측식 리니어 펄스 모터의 특성에 미치는 영향 (Effect of Airgap Length Difference on the Characteristics of the Double-Sided Linear Pulse Motor)

  • 이동주;이은웅;김성현;손홍관;김성종
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
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    • 제52권1호
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    • pp.1-8
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    • 2003
  • Generally, thrust force of double-sided LPM is more powerful than that of single-sided LPM. Also, double-sided LMP can be effectively applied to the high-precision position system with its simple control scheme. However, An equality between two airgap lengths Is a necessary condition for its high performance. If a little difference between two airgaps is existed, unbalanced normal force and undesirable vibration will be generated. Additionally, even though two airgap lengths are absolutely same, undesirable vibration can be generated because the direction of instantaneous normal force on mover is changed according to excitation methods. An effect of inequality of two airgap lengths is presented in this paper. Distribution of airgap permeance vs. relative displacement is analyzed by two dimensional finite element method. Excitation From this results, current waveforms to reduce the undesirable vibration is proposed.

Massey-Omura 승산기를 위한 최적 정규원소 (The Optimal Normal Elements for Massey-Omura Multiplier)

  • 김창규
    • 정보보호학회논문지
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    • 제14권3호
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    • pp.41-48
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    • 2004
  • 유한체의 곱셈과 나눗셈은 오류정정부호와 암호시스템에서 중요한 산술 연산이다. 유한체 GF(2$^{m}$ )의 원소를 표현하기 위해 다양한 기저가 사용되며 차수가 m인 GF(2)상의 원시다항식으로 구성할 수 있다. 정규기저를 사용하면 곱셈이나 곱셈 역원의 연산을 쉽게 수행할 수 있다. 정규기저 표현을 이용하는 Massey-Omura 승산기는 동일한 2진함수를 사용하여 몇 번의 순회치환으로 곱셈 또는 나눗셈이 수행되며 논리함수의 곱셈항 수가 승산기의 복잡도를 결정한다. 유한체의 정규기저는 항상 존재한다. 그러나 주어진 원시다항식에 대해 최적의 정규원소를 구하는 것은 쉽지 않다. 본 논문에서는 정규기저의 생성 방법을 고찰하고, Massey-Omura 승산기를 이용한 곱셈 또는 곱셈 역원의 계산에서 연산의 복잡도를 최소화할 수 있는 정규기저를 각 원시다항식에 대해 구하여, 최적의 정규원소와 곱셈항의 개수를 제시한다.

회전자유도를 갖는 평면쉘요소에 의한 박판구조물의 기하비선형해석 (Geometrical Nonlinear Analysis of Thin-walled Structures by Flat Shell Elements with Drilling D.O.F.)

  • 최창근;송명관
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1998년도 봄 학술발표회 논문집
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    • pp.317-324
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    • 1998
  • A nonlinear anile element formulation of flat shell elements with drilling d.o.f, is presented for the geometrical nonlinear analysis of thin-walled structures. The shell element to be applied in finite element analysis was developed by combining a membrane element named as CLM with drilling rotation d.o.f, and plate bending element. The combined shell element possesses six degrees of freedom per node. The element showed the excellent performance in the linear analysis of the folded plate structures, in which the normal rotational rigidity of folded plates is considered, therefore, using this element geometrical nonlinear analysis of those structures is fulfilled in this study. An incremental total Larangian approach is adopted through out in which displacements are referred to the original configuration. Comparing the results with those of other researches shows the performance of this element and a folded plate structure is analyzed as an example.

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Generalized Inverses and Solutions to Equations in Rings with Involution

  • Yue Sui;Junchao Wei
    • Kyungpook Mathematical Journal
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    • 제64권1호
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    • pp.15-30
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    • 2024
  • In this paper, we focus on partial isometry elements and strongly EP elements on a ring. We construct characterizing equations such that an element which is both group invertible and MP-invertible, is a partial isometry element, or is strongly EP, exactly when these equations have a solution in a given set. In particular, an element a ∈ R# ∩ R is a partial isometry element if and only if the equation x = x(a)*a has at least one solution in {a, a#, a, a*, (a#)*, (a)*}. An element a ∈ R#∩R is a strongly EP element if and only if the equation (a)*xa = xaa has at least one solution in {a, a#, a, a*, (a#)*, (a)*}. These characterizations extend many well-known results.