• 제목/요약/키워드: Incremental displacement

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선택적 하중/변위 파라미터를 이용한 좌굴후 현상의 유한요소 해석 (Finite Element Analysis of Post-Buckling Phenomena Using Adaptive Load/ Displacement Parameter)

  • 최진민;정윤태;윤태혁;권영두
    • 대한기계학회논문집
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    • 제14권3호
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    • pp.503-512
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    • 1990
  • 본 연구에서는 하중작용점(혹은 변위제어점)이 일점이고 스탭 백 현상이 없는 문제에 유용한 페널티 방법(penalty method)을 제안하고, 스냅 백 현상이 수반되는 경 우에는 페널티 방법과 Riks 방법을 선택적으로 취할 수 있도록 한다. 그리고 하중 작용점이 일점 혹은 그 이상의 점일 경우에 대해서는 Riks 방법을 기준으로 하되 일정 조건하에서는 새로운 증분하중 파라미터를 선택할 수 있게 하여, 순수한 Riks 방법으 로만 계산할 때에 일어날 수 있는 발산을 없앨 수 있게 한다. 끝으로 변위제어점이 일점 혹은 그 이상의 점인 경우에 대해 'Riks형 방법(Riks' type method)'을 제안하고, 이때에도 Riks형 방법을 기준으로 게산하되 일정한 조건하에서는 새로운 증분변위 파 라미터를 선택적으로 취할 수 있게 한다.

비탄성변위비와 붕괴강도비를 이용한 MPA기반의 IDA 해석법 (MPA-based IDA Using the Inelastic Displacement ratio, CR and the Collapse Intensity, RC)

  • 한상환;석승욱;이태섭
    • 한국지진공학회논문집
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    • 제14권5호
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    • pp.33-39
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    • 2010
  • 본 연구는 Modal Pushover Analysis(MPA)를 기반으로 비탄성 변위비(inelastic displacement ratio, $C_R$)와 붕괴 강도비(collapse strength ratio, $R_C$)를 이용한 간략한 Incremental Dynamic Analysis (IDA) 해석법을 제안해 냈다. 이 해석법은 선형 또는 비선형 동적해석 수행 없이 다자유도 시스템의 응답을 계산하기 때문에 간단하게 IDA곡선을 얻을 수 있다. 제안한 방법의 정확성은 6층, 9층, 20층의 철골 모멘트 골조를 대상으로 44개의 지진데이터를 사용하였으며 본 연구에서 제안하는 MPA를 이용한 $C_R-R_C$ IDA 해석결과와 비선형 동적해석 (Nonlinear Response History Analysis)을 통한 IDA 응답값, 그리고 각 주요모드의 비선형 동적해석을 통한 MPA-IDA 응답 값을 비교하여 타당성을 확인하였다. MPA를 이용한 $C_R-R_C$ IDA 해석법은 반복된 비선형 동적해석 과정이 없기 때문에 계산시 소요시간이 가장 작았으며 비교적 정확한 결과를 나타냈다.

교량구조물의 측방이동 측정방법에 관한 연구 (The Measurement Method of Lateral Displacement in Bridge Abutment.)

  • 장용채
    • 한국항만학회지
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    • 제14권1호
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    • pp.115-124
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    • 2000
  • This study is a suggest a measurement method of lateral displacement, which can be used to judge the stability of bridge abutment on soil undergoing lateral movement. The abutment of bridge on soft foundation makes lateral movement due to the settlement of back fill and lateral flow. To measure the displacement of such a abutment, there are a lot of indirect method for measurement such as survey of leveling or inclinometer gauge around the abutment. But all of them are not sufficient to confirm the ground behavior and measure the exact lateral behavior of structure. As making the structure and pile cooperatively by measuring the movement of lateral displacement, for measuring the abutment displacement precisely by using the inclinometer. In this work, we try to suggest efficient measuring method of abutment displacement and its application.

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변형된 쉘요소를 이용한 판 및 쉘 구조의 후좌굴 및 탄.소성 유한요소해석 (Post-buckling and Elasto-plastic Analysis of Shell Structures using the Degenerated Shell Element)

  • 김문영;민병철
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1995년도 봄 학술발표회 논문집
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    • pp.17-27
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    • 1995
  • For the post-buckling and elasto-plastic analysis of shell structures, the total Lagrangian formulation is presented based upon the degenerated shell element. Geometrically correct formulation is developed by updating the direction of normal vectors in the iteration process and evaluating the total Green-Lagrange stain corresponding U total displacements. In the calculation of the stiffness matrix, the element formulation takes into account the effect of finite rotation increments by retaining second order rotation terms in the incremental displacement field. The selective or reduced integration scheme using the heterosis element is applied in order to overcome both shear locking phenomena and the zero energy mode. The load/displacement incremental scheme is adopted for geometric non-linear F .E. analysis. Based on such methodology, the computer program is developed and numerical examples to demonstrate the accuracy and the effectiveness of the proposed shell element are presented and compared with references's results.

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압전구동기에 사용되는 힌지 메커니즘의 기구학적 비선형성에 관한 연구 (Study on the geometrical nonlinearity of the hinge mechanism used in a piezoactuator)

  • 김준형;김수현;곽윤근
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2003년도 춘계학술대회 논문집
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    • pp.1638-1642
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    • 2003
  • Piezoactuator using a flexure hinge mechanism is often used in the precision stages. When the total size of the hinge mechanism become small compared with the deformation of the hinge mechanism, the geometrical nonlinearity makes a considerable error in the output displacement. In this research, the incremental method based on the matrix method is developed to model the effect of the geometrical nonlinearity. Developed modeling method is applied to derive the error of output displacement of the bridge-type hinge mechanism and its results are derived with respect to the design parameters. This method can be easily used to the design optimization of the hinge mechanism and analysis results show that the geometrical nonlinearity error should be considered to achieve a high accuracy to the piezoactuators.

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Large displacement Lagrangian mechanics -Part II - Equilibrium principles

  • Underhill, W.R.C.;Dokainish, M.A.;Oravas, G.Ae.
    • Structural Engineering and Mechanics
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    • 제4권1호
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    • pp.91-107
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    • 1996
  • In Lagrangian mechanics, attention is directed at the body as it moves through space. Each body point is identified by the position it would have if the body were to occupy an arbitrary reference configuration. A result of this approach is that the analyst often describes the body by using quantities that may involve more than one configuration. This is particularly common in incremental calculations and in changes of the choice of reference configuration. With the rise of very powerful computing machinery, the popularity of numerical calculation has become great. Unfortunately, the mechanical theory has been evolved in a piecemeal fashion so that it has become a conglomeration of differently developed patches. The current work presents a unified development of the equilibrium principle. The starting point is the conservation of momentum. All details of configuration are shown. Finally, full dynamic and static forms are presented for total and incremental work.

박판사각튜브의 압괴 특성 (Crush Characteristics of Thin-walled Rectangular Tube)

  • 이종선
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 1998년도 추계학술대회 논문집
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    • pp.261-266
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    • 1998
  • In this study, crush characteristics of thin-walled rectangular tube is investigated. The stiffness of the element is obtained from analytical moment-rotation relationship and approximated load-deflection relationship of thin-walled rectangular tube. A computer program is developed for the large deformation analysis of frame. An incremental displacement method is used in the program and at each incremental stage, the stiffness matrix of the total structure is checked with the state each element for bending and compression.

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침수지반의 단계적 굴착해석 (FINITE ELEMENT ANALYSIS OF FLUID-SATURATED GROUND SYSTEM UNDER INCREMENTAL EXCAVATION)

  • 구정회;홍순조;김문겸;황학주
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1993년도 봄 학술발표회논문집
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    • pp.207-212
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    • 1993
  • In the construction of underground structures, it is critical to accurately predict the ground deformations during excavation. In this paper, a finite element procedure for the computation of solid displacement and fluid pore pressure during incremental excavation is presented based on Biot's theory. The numerical formulation is done using the virtual work principle. The proposed procedure is applied to some example problems with different excavation rates and permeabilities.

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An improved radius-incremental-approach of stress and displacement for strain-softening surrounding rock considering hydraulic-mechanical coupling

  • Zou, Jin-Feng;Wei, Xing-Xing
    • Geomechanics and Engineering
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    • 제16권1호
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    • pp.59-69
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    • 2018
  • This study focused on the mechanical and hydraulic characteristics of underwater tunnels based on Mohr-Coulomb (M-C), Hoek-Brown (H-B) and generalized H-B failure criteria. An improved approach for calculating stress, displacement and plastic radius of the circular tunnel considering hydraulic-mechanical coupling was developed. The innovation of this study was that the radius-incremental-approach was reconstructed (i.e., the whole plastic zone is divided into a finite number of concentric annuli by radius), stress and displacement of each annulus were determined in terms of numerical method and Terzaghi's effective stress principle. The validation of the proposed approach was conducted by comparing with the results in Brown and Bray (1982) and Park and Kim (2006). In addition, the Rp-pin curve (plastic radius-internal supporting pressure curve) was obtained using the numerical iterative method, and the plastic radius of the deep-buried tunnel could be obtained by interpolation method in terms of the known value of internal supporting pressure pin. Combining with the theories in Carranza and Fairhurst (2000), the improved technique for assessing the reliability of the tunnel support was proposed.

CRTS 반사판의 구조적 인자가 형상오차에 미치는 영향 (The Influence of the Structural Parameters on the Shape Errors of CRTS Reflector)

  • 송원근;김승덕
    • 한국전산구조공학회논문집
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    • 제16권1호
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    • pp.87-94
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    • 2003
  • 연속적으로 이루어지는 제작ㆍ조립 단계에서 변위하중을 받는 CRTS 반사판의 초기 정적평형상태론 결정하기 위하여 변위증분법을 사용하여 기하학적 비선형 유한요소 해석기법을 제시하고 반사반의 이상적인 형상파 실 제자 형상과의 차이, 즉 형상오차에 케이블 및 구조적 인자가 미치는 영향에 관한 연구를 수행한다. 본 연구 결과는 Galerkin method 와 NASS 98 Program을 사용하여 해석한 결과와 비교ㆍ검증하여 그 타당성을 입증한다.