• 제목/요약/키워드: point-supported plates

검색결과 20건 처리시간 0.02초

첨가질량이 있는 적층복합판의 고유진동수에 관한 연구 (A Study on the Natural Frequency of Composite Laminated Plate Under Attached Point Mass/Masses)

  • 홍창우;심도식;박제선
    • 전산구조공학
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    • 제10권1호
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    • pp.149-158
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    • 1997
  • 본 논문은 첨가질량이 있는 양단 단순지지 타단 자유단의 경계조건을 갖는 특별 직교 이방성 적층복합판에 대한 적용례로 제시한다. 구조물 설계시 설계자들은 구조물의 정확한 고유진동수를 계산할 필요성을 느끼나 정확한 해답을 얻기란 매우 어렵다. Pretlove는 유효질량 개념을 사용하여 첨가질량을 갖는 보의 해석 방법을 발표하였다. 그러나 이 방법은 단순보의 경우에만 유용할 뿐이다. 그러므로 본 논문에선 해석법이 간단하고, 정확하며, 임의의 경계조건과 단면을 가진 판의 해석에 매우 효과적인 김덕현의 방법으로 첨가질량이 있는 적층복합판의 고유진동수를 계산하였다.

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에너지법에 의한 선체판의 기하학적 비선형거동에 관한 연구 (A Study on the Geometric Nonlinear Behaviour of Ship Plate by Energy Method)

  • 고재용
    • 대한조선학회논문집
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    • 제36권2호
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    • pp.94-104
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    • 1999
  • 고장력강을 주로 사용하는 선체에서 좌굴은 중요한 설계기준이 된다. 판부재는 주로 면내강성을 갖는다. 만약 2차좌굴로 인하여 선체판의 면내강성이 저하한다면 선박전체의 종강도는 크게 저하한다. 그러므로, 판부재의 좌굴후거동과 같은 기하학적 비선형거동을 정확히 규명하여야 하는 것은 구조물 전체적으로 매우 필요하다. 이상과 같은 관점에서 본 논문에서는 에너지법을 이용하여 압축하중을 받는 단순지지판의 기하학적 비선형거동을 규명하였다. 에너지 법을 바탕으로 선체판의 탄성대변형해석을 수행하였고 분기점형좌굴과 극한점형좌굴에 대하여 규명하였다.

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임의방향 보강재를 가지는 복합적층 보강판의 해석 (Analysis of Laminated Composite Stiffened Plates with arbitrary orientation stiffener)

  • 임성순;장석윤;박대용
    • 한국구조물진단유지관리공학회 논문집
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    • 제8권2호
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    • pp.147-158
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    • 2004
  • 많은 장점을 가진 복합재료를 사용한 보강판에 대하여 지금까지 많은 연구자들이 변위법에 근거한 등매개변수 평판 요소와 보요소를 결합한 유한요소법을 사용하여왔다. 이러한 유한요소법은 보요소를 평판 요소의 절점에 대한 강성으로 치환하기 때문에 보강재에 대한 국부적인 거동을 파악할 수 없으며 복합적층 구조인 경우 그 적용성이 제한적이다. 따라서, 본 연구에서는 복합재료 보강판의 해석에 있어 보강재 및 판에 대하여 3차원 쉘요소를 사용하여 거동을 분석하고자 한다. 본 연구에서는 Reissner-Mindlin의 1차 전단변형이론을 사용하였다. 그러나 Reissner-Mindlin이론에 의한 등매개변수 평판 휨 요소는 판의 두께가 얇아지는 경우 일반적으로 전단잠김현상과 가상의 제로에너지 모드가 발생하는데 이를 제거하기 위해 대체전단변형률장을 사용하였다. 폭-두께비, 형상비 뿐만아니라 경사판의 경사각 변화에 따른 임의방향 보강재를 갖는 단순지지된 복합적층 구형 및 경사판에 대한 처짐분포를 비교 분석하였다.

선진복합재료 적층판의 동적 층간 파괴 인성평가 (A study on the fracture toughness of dynamic interlaminar for CFRP composite laminates)

  • 김지훈;김영남;양인영;심재기
    • 한국안전학회지
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    • 제13권4호
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    • pp.41-48
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    • 1998
  • In this paper, an investigation was performed on the dynamic interlaminar fracture toughness of CFRP(carbon fiber reinforcement plastics) composite laminates. Composite laminates used in this experimentation are CF/EPOXY and CF/PEEK laminated plates. In the experiments, Split Hopkinson's Bar(SHPE) test was applied to dynamic and notched flexure test. The mode Ⅱ fracture toughness of each unidirectional CFRP was estimated by the analyzed deflection of the specimen and J-integral with the measured impulsive load and reactions at the supported points. As an experimental result, the vibration amplitude of CF/PEEK laminates appear more than that of CF/EPOXY laminates for the J-integral and displacement velocity at a measuring point. Also, it is thought that the dynamic fracture toughness of two kind specimens(CFRP/EPOXY and CF/PEEK) with the in crease of displacement velocity becomes a little greater at a measuring point within the range of measurement.

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Mindlin 판 이론을 적용한 단순지지 단면 접수평판의 음향방사효율 수치해석 (A Numerical Analysis on Acoustic Radiation Efficiency of One Side-Wetted Rectangular Mindlin Plate with Simply Supported Boundaries)

  • 이종호;조대승
    • 대한조선학회논문집
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    • 제55권4호
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    • pp.281-288
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    • 2018
  • Acoustic radiation efficiency is a crucial factor to estimate Underwater Radiated Noise (URN) of ships accurately. This paper describes a numerical method to analyse acoustic radiation efficiency of one side-wetted rectangular Mindlin plate with simply supported boundaries excited by a harmonic point force. Transverse displacements of plate and acoustic radiation pressures are evaluated by the mode superposition method. The acoustic radiation efficiencies analyzed by both Mindlin and thin plate theories show little differences at monopole and corner modes of low frequency regions but relatively large differences at edge and critical modes of high frequency regions. Especially, the critical frequency with the highest acoustic radiation efficiency evaluated by the Mindlin plate theory is higher than that of thin plate theory. In addition, the acoustic loading effect of fluid also increases bending wave-number of plate and its critical frequency. Finally, the acoustic radiation characteristics of plates with different aspect ratios and thicknesses through numerical analyses are investigated and discussed.

A novel higher-order shear deformation theory for bending and free vibration analysis of isotropic and multilayered plates and shells

  • Zine, Abdallah;Tounsi, Abdelouahed;Draiche, Kada;Sekkal, Mohamed;Mahmoud, S.R.
    • Steel and Composite Structures
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    • 제26권2호
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    • pp.125-137
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    • 2018
  • In this work, the bending and free vibration analysis of multilayered plates and shells is presented by utilizing a new higher order shear deformation theory (HSDT). The proposed involves only four unknowns, which is even less than the first shear deformation theory (FSDT) and without requiring the shear correction coefficient. Unlike the conventional HSDTs, the present one presents a novel displacement field which incorporates undetermined integral variables. The equations of motion are derived by using the Hamilton's principle. These equations are then solved via Navier-type, closed form solutions. Bending and vibration results are found for cylindrical and spherical shells and plates for simply supported boundary conditions. Bending and vibration problems are treated as individual cases. Panels are subjected to sinusoidal, distributed and point loads. Results are presented for thick to thin as well as shallow and deep shells. The computed results are compared with the exact 3D elasticity theory and with several other conventional HSDTs. The proposed HSDT is found to be precise compared to other several existing ones for investigating the static and dynamic response of isotropic and multilayered composite shell and plate structures.

Analytical analysis of the interfacial shear stress in RC beams strengthened with prestressed exponentially-varying properties plate

  • Rabia, Benferhat;Abderezak, Rabahi;Daouadji, Tahar Hassaine;Abbes, Boussad;Belkacem, Adim;Abbes, Fazilay
    • Advances in materials Research
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    • 제7권1호
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    • pp.29-44
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    • 2018
  • In this paper, a closed-form rigorous solution for interfacial shear stress in simply supported beams strengthened with bonded prestressed E-FGM plates and subjected to an arbitrarily positioned single point load, or two symmetric point loads is developed using linear elastic theory. This improved solution is intended for application to beams made of all kinds of materials bonded with a thin plate, while all existing solutions have been developed focusing on the strengthening of reinforced concrete beams, which allowed the omission of certain terms. The theoretical predictions are compared with other existing solutions. Finally, numerical results from the present analysis are presented to study the effects of various parameters of the beams on the distributions of the interfacial shear stresses. The results of this study indicated that the E-FGM plate strengthening systems are effective in enhancing flexural behavior of the strengthened RC beams.

A refined quasi-3D theory for stability and dynamic investigation of cross-ply laminated composite plates on Winkler-Pasternak foundation

  • Nasrine Belbachir;Fouad Bourada;Abdelmoumen Anis Bousahla;Abdelouahed Tounsi;Mohamed A. Al-Osta;Mofareh Hassan Ghazwani;Ali Alnujaie;Abdeldjebbar Tounsi
    • Structural Engineering and Mechanics
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    • 제85권4호
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    • pp.433-443
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    • 2023
  • The current paper discusses the dynamic and stability responses of cross-ply composite laminated plates by employing a refined quasi-3D trigonometric shear deformation theory. The proposed theory takes into consideration shear deformation and thickness stretching by a trigonometric variation of in-plane and transverse displacements through the plate thickness and assures the vanished shear stresses conditions on the upper and lower surfaces of the plate. The strong point of the new formulation is that the displacements field contains only 4 unknowns, which is less than the other shear deformation theories. In addition, the present model considers the thickness extension effects (εz≠0). The presence of the Winkler-Pasternak elastic base is included in the mathematical formulation. The Hamilton's principle is utilized in order to derive the four differentials' equations of motion, which are solved via Navier's technique of simply supported structures. The accuracy of the present 3-D theory is demonstrated by comparing fundamental frequencies and critical buckling loads numerical results with those provided using other models available in the open literature.

등분포 축하중을 받고 첨가질량이 재하된 적충복합판의 고유진동수 (Natural Frequencies of Laminated Composite Plates Attached Point Mass Under an Uniform Axial-Loading)

  • 박제선;홍창우;이정호;이주형
    • 산업기술연구
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    • 제19권
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    • pp.235-243
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    • 1999
  • Vibration analysis for some of simple supported antisymmetric composite laminated plate loaded uniformly distributed axial force and attached mass was carried out. Because it is complicated to analysis this type of plate by theory of antisymmetric laminate, possibility for application of theory of special orthotropic laminate was studied, and natural frequency of laminated plate attached mass was calculated. Stiffness $B_{16}$, $B_{26}$, $D_{16}$, $D_{26}$ for this type of antisymmetric laminated plate converge on zero as the number of ply increases and it is possible to use classical theory by reason that considered plate has quasi-homogeneity without relevance to variation of angle. Difference between results by theory of antisymmetric and special orthotropic laminate is 0.36~1.96%, therefore it is convenient to analyze this by use of theory of special orthotropic laminate. When composite laminated plate with attached mass is analyzed range that was able to neglect self-weight of plate was proposed.

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용접된 보강판의 압축 최종 강도의 간이 해석법 (A Simplified Approach to the Analysis of the Ultimate Compressive Strength of Welded Stiffened Plates)

  • 장창두;서승일
    • 대한조선학회논문집
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    • 제30권2호
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    • pp.141-154
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    • 1993
  • 본 논문에서는 주변 단순 지지된, 용접된 편면 보강판의 압축 최종 강도를 구하는 간략한 방법을 제안하고자 한다. 우선, 용접에 의한 변형 및 잔류응력과 같은 초기결함을 간략한 방법으로 추정하고, 이 초기결함이 존재하는 보강판의 붕괴 양식을 가정하여, 각 양식에 대해 최종 강도를 구하고, 여러 붕괴 하중에 때해 최소치를 택함으로 보강판의 붕괴 하중을 얻는다. 보강판이 최종 강도 상태에 달하기까지 붕괴 과정을 다음과 같이 가정한다. (1) 보강판의 전체 좌굴$\rightarrow$보강재의 굽힘에 의한 전체 붕괴 (2) 판재의 국부 좌굴$\rightarrow$판재의 국부 붕괴$\rightarrow$보강재의 전단면 항복에 의한 전체 붕괴 (3) 판재의 국부 좌굴$\rightarrow$보강재의 굽힘에 의한 전체 붕괴 (4) 판재의 국부 좌굴$\rightarrow$판재의 국부 붕괴$\rightarrow$보강재의 비틂 변형(tripping)에 의한 전체 붕괴 붕괴 하중 계산을 위해 Rayleigh-Ritz 법에 기초한 탄소성 대변형 해석을 수행하고, 소성 붕괴선을 가정한 소성 해석을 수행하여 탄성 해석선과 소성 해석선의 교점을 최종 강도로 택한다. 본 방법을 비선형 유한요소법과 비교해 보면 극히 짧은 계산 시간에 양호한 결과를 산출한다는 것을 알 수 있다. 본 방법에 의한 해석 결과를 통해 판재의 국부 거동에 미치는 보강재의 비틂 강성의 효과를 고찰하였고, 보강재의 굽힘에 의한 전체붕괴와 비틂 변형(tripping)에 의한 전체 붕괴의 기준이 되는 보강재의 형상을 제시할 수 있었다.

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