• 제목/요약/키워드: plate equation

검색결과 804건 처리시간 0.03초

단부평판 접합부의 극한저항능력 평가를 위한 비선형 유한요소해석 모델 (Nonlinear Finite Element Analysis Model for Ultimate Capacity Estimation of End-Plate Connection)

  • 최창근;정기택
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1992년도 가을 학술발표회 논문집
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    • pp.23-28
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    • 1992
  • The ultimate capacity of end-plate connection is investigated through nonlinear finite element analysis. The example models are divided into stiffened case and unstiffened one. The refined finite element models are analyzed by utilizing a general purpose structural analysis computer program ADINA and the moment-rotation relationships of the connection are determined. The results are compared with the regression equation deduced by Krishnamurthy. It is planned to deduce a bilinear regression equation through a parametric study on various dimensions of the connection.

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분포하중(分布荷重)을 받는 구형판(矩形板)의 탄성해석(彈性解析) (Analysis of Rectangular Plates under Distributed Loads of Various Intensity with Interior Supports at Arbitrary Positions)

  • 장석윤
    • 대한조선학회지
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    • 제13권1호
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    • pp.17-23
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    • 1976
  • Some methods of analysis of rectangular plates under distributed load of various intensity with interior supports are presented herein. Analysis of many structures such as bottom, side shell, and deck plate of ship hull and flat slab, with or without internal supports, Floor systems of bridges, included crthotropic bridges is a problem of plate with elastic supports or continuous edges. When the four edges of rectangular plate is simply supported, the double Fourier series solution developed by Navier can represent an exact result of this problem. If two opposite edges are simply supported, Levy's method is available to give an "exact" solution. When the loading condition and supporting condition of a plate does not fall into these cases, no simple analytic method seems to be feasible. Analysis of a simply supported rectangular plate under irregularly distributed loads of various intensity with internal supports is carried out by applying Navier solution well as the "Principle of Superposition." Finite difference technique is used to solve plates under irregularly distributed loads of various intensity with internal supports and with various boundary conditions. When finite difference technique is applied to the Lagrange's plate bending equation, any of fourth order derivative term in this equation produces at least five pivotal points leading to some troubles when the resulting linear algebraic equations are to be solved. This problem was solved by reducing the order of the derivatives to two: the fourth order partial differential equation with one dependent variable, namely deflection, is changed to an equivalent pair of second order partial differential equations with two dependent variables. Finite difference technique is then applied to transform these equations to a set of simultaneous linear algebraic equations. Principle of Superposition is then applied to handle the problems caused by concentrated loads and interior supports. This method can be used for the cases of plates under irregularly distributed loads of various intensity with arbitrary conditions such as elastic supports, or continuous edges with or without interior supports, and this method can also be solve the influence values of deflection, moment and etc. at arbitrary position of plates under the live load.

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Malthus를 이용한 원유(原乳)내의 총균수, 대장균군수, 저온성균수 측정 (The Conductance Determination of Total, Coliform and Psychrotrophic bacteria Counts in Raw Milk by Using Malthus)

  • 남은숙;정충일;강국희;정동관
    • 한국식품과학회지
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    • 제26권6호
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    • pp.764-769
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    • 1994
  • 본 실험은 원유내외 세균을 빠르고, 일관성있고, 신뢰성이 있는 평가 system을 얻기 위함이며, 원유 내외 총균수와 저온성균수, 대장균군수를 malthus의 detection time과 regression equation과 상관관계를 조사하였다. Conductance method는 종래의 plate count method보다빠르고 자동적이며, 노동력을 최대한 절감할 수 있다. 그 결과는 다음과 같다. 1. Conductance detection time을 (Y), total bacterial log count를 (X)라고 할 때 regression equation Y=18.27651-2.07550X, 상관계수는 -0.95(n=201)로 나타났다. 2. Conductance detection time을 (Y), total bacterial log counts를 (X)라고 할때 regression equation Y=9.32048-1.15598X, 상관계수는 -0.90(n=207)로 나타났다. 3. Conductance dotection time을 (Y), psychrotrophic bacterial log counts를 (X)라 할때 regression equation Y=29.96008-3,02487X 상관계수는 -0.90(n=201)로나타났다.

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합성데크 플레이트 바닥구조의 단면환산 단순화를 통한 고유진동수 예측식의 보정에 관한 연구 (A Study on Modifacation of a Prediction Equation for the Natural Frequency of a Composite Deck Floor System through the Simplification of a section Transformation)

  • 임지훈;박진영;홍원기;김희철
    • 한국강구조학회 논문집
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    • 제14권4호
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    • pp.549-556
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    • 2002
  • 바닥구조의 진동을 평가하는데 있어 기존의 고유진동수 예측식에 의한 방법이 사용되어지고 있다. 그러나, 이러한 예측식들은 재료에 따른 구분이 없기 때문에 실제와느나 다른 결과를 보이게 된다. 또한, 합성데크 플레이트 슬래브의 경우, 고유진동수를 예측하기 위해 슬래브의 단면을 환산해야 하는데, 각 데크 플레이트의 특성상 그 형태가 상이함으로 인하여 많은 어려움을 느끼게 된다. 따라서, 본 논문에서는 슬래브의 단면을 환산하기 위한 새로운 단순화된 방법을 제시하였다. 그리고, 실제 측정값과 가장 오차율이 적은 "LRFD"에 제안된 고유진동수 산출식을 보정하여 기존 예측시에 비해 약 14.3%의 오차율을 개선하는 새로운 예측보정식을 제안하고, 이에 대한 일반적인 적용가능성을 검증하였다.

합성형 교량에서 전단연결재에 대한 정적실험 및 강도식의 제안 (Static Test and Suggestion of Shear Strength Equation on Shear Studs in Composite Bridge)

  • 이성태
    • 한국구조물진단유지관리공학회 논문집
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    • 제22권2호
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    • pp.43-50
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    • 2018
  • 본 연구에서는 강주형과 바닥판의 합성에 사용되는 전단연결재에 대한 연구를 위해 세계 각국에서 사용되는 설계기준과 연구사례를 분석하고 교량 바닥판에 작용하는 각종 수직하중으로 인해 강주형과 콘크리트 슬래브의 접촉면에 발생하는 수평방향의 전단력을 전달하는 이 연결재를 설치한 밀어내기 시험체에 대하여 전단실험을 수행하였으며, 이 시험을 통하여 철근 대신 FRP 철근이 배치된 Steel strap 바닥판의 전단열재 평가식을 제안하였다. 본 연구에서의 제안식은 도로교설계기준의 전단연결재 허용강도 대비 약 3배의 안전율을 가지고 있으며, 기존의 DIN 기준과 Viest 평가식과 비교하면 5%정도의 오차로 유사한 결과를 보여주었다.

초기응력을 받는 직사각형판의 고유진동수 산정식 개발 (Equation for Estimating Natural Frequencies of Initially Stressed Rectangular Plates)

  • 박승진
    • 한국구조물진단유지관리공학회 논문집
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    • 제18권1호
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    • pp.150-159
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    • 2014
  • 본 논문은 초기하중을 받는 직사각형판 및 역대칭 Angle-Ply 적층판의 좌굴 및 진동특성을 무재하시의 고유진동수를 이용하여 산정하는 간편법을 제시하였다. 마주보는 두변이 단순지지된 직사각형판의 운동방정식은 곡률항을 고려한 Mindlin 판이론과 에너지원리를 이용한 Rayleigh-Ritz법을 이용하여 유도하였다. 초기응력을 받는 직사각형판의 무차원화 고유진동수, 임계좌굴계수 및 동적불안정영역 문제들을 무재하시의 무차원화 고유진동수로서 각각의 특성을 정립하였다. 본 연구에서 제안한 진동특성에 관한 간편산정식의 타당성과 사용성을 입증하기 위해 수치예를 들어 검토하였다.

탄성지지부가물(彈性支持附加物) 또는 집중질량(集中質量)을 갖는 보강판(補剛板)의 진동해석(振動解析) (Vibration Analysis of Stiffened Plates having a Resiliently Mounted or Concentrated Mass)

  • 한성용;김극천
    • 대한조선학회지
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    • 제23권1호
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    • pp.23-32
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    • 1986
  • By virtue of an application of the receptance method, simplified formulae to calculate natural frequencies of stiffened plates having a resiliently mounted or concentrated mass are obtained. Some numerical results are compared with those based on Lagrange's equation of motion and with experimental results. For the problem formulation the stiffened plate is reduced to an equivalent orthotropic plate, a resiliently mounted mass to a spring-mass system, and mode shapes of the plate are assumed with comparison functions consisting of Euler beam functions. The proposed formulae give results in good conformity to both numerical results based on Lagrange's equation of motion and experimental results for in-phase modes of the coupled system. For out-of-phase modes the conformity is assured only in case that the natural frequency of the attached system is less than a half of that the stiffened plate. It is also found that a resiliently mounted mass having its own natural frequency of about two or more times that of the stiffened plate can be reduced to a concentrated mass with assurance of a few percent error in the frequency.

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Free vibration analysis of rectangular plate with arbitrary edge constraints using characteristic orthogonal polynomials in assumed mode method

  • Kim, Kook-Hyun;Kim, Byung-Hee;Choi, Tae-Muk;Cho, Dae-Seung
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제4권3호
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    • pp.267-280
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    • 2012
  • An approximate method based on an assumed mode method has been presented for the free vibration analysis of a rectangular plate with arbitrary edge constraints. In the presented method, natural frequencies and their mode shapes of the plate are calculated by solving an eigenvalue problem of a multi-degree-of-freedom system matrix equation derived by using Lagrange's equations of motion. Characteristic orthogonal polynomials having the property of Timoshenko beam functions which satisfies edge constraints corresponding to those of the objective plate are used. In order to examine the accuracy of the proposed method, numerical examples of the rectangular plates with various thicknesses and edge constraints have been presented. The results have shown good agreement with those of other methods such as an analytic solution, an approximate solution, and a finite element analysis.

추가변형을 고려한 환원판 결합 원통셸의 진동해석 (Vibration Analysis of Annular Plate Combined Cylindrical Shells Considering Additional Deformations)

  • 김영완;정강
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 추계학술대회
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    • pp.551-556
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    • 2004
  • The theoretical method is developed to investigate the vibration characteristics of the combined cylindrical shells with an annular plate joined to the shell at any arbitrary axial position. The structural rotational coupling between shell and plate is simulated using the rotational artificial spring. For the translational coupling, the continuity conditions for the displacements of shell and plate are used. For the uncoupled annular plate, the transverse motion is considered and the in-plane motions are not. And the additional transverse and in-plane motions of the coupled annular plate by shell deformation are considered in analysis. Theoretical formulations are based on Love's thin shell theory. The frequency equation of the combined shell with an annular plate is derived using the Rayleigh-Ritz approach. The effect of inner-to-outer radius ratio, axial position and thickness of annular plate on vibration characteristics of combined cylindrical shells is studied. To demonstrate the validity of present theoretical method, the finite element analysis is performed.

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선미 스케그 외판의 좌굴강도에 관한 연구 (A Study on the Buckling Strength of Stern Skeg Shell Plate)

  • 최경신;설상석;김진우;공석환;정원지
    • 한국기계가공학회지
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    • 제20권1호
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    • pp.80-87
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    • 2021
  • Most container ships are currently being constructed as Ultra-Large Container Ships. Hence, the equipment of the ships is also becoming relatively large. In particular, propellers, rudders, and rudder stocks are large in the stern structure, and in relation, efficient design of the hull structures to safely secure these parts is important. The bottom shell plate surface of a stern skeg is a perforated plate from which the rudder stock penetrates, so it is an important component for the stern structure. In this paper, to determine the critical buckling of the shell plate, an interaction curve equation for the two-axis compression of the shell plate was derived using the maximum value of the static structural stress multiplier in a load multiplier mode. This equation predicts the timing of the buckling occurrence. By analyzing this interaction curve equation, the buckling behavior of the plates subjected to a combination load was determined and the usefulness of applying it to ship building was investigated.