• Title/Summary/Keyword: orthotropic plate analysis

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강바닥판 데크플레이트와 종리브 현장연결 스캘럽부의 피로강도 평가 (Evaluation of Fatigue Strength in Scallop at Field Bolted Joints of Longitudinal Rib and Deck Plate in Orthotropic Steel Decks)

  • 최동호;최항용
    • 한국강구조학회 논문집
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    • 제14권6호
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    • pp.683-690
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    • 2002
  • 본 연구에서는 국내에 적용된 강바닥판의 데크플레이트와 종리브 현장 연결 스캘럽부의 구조상세를 검토하고 실험체를 제작하여 정적재하실험 및 피로실험을 실시하였다. 또한 FEM 해석을 통하여 스캘럽 길이, 스캘럽 곡률반경, 데크플레이트 두께 등과 같은 매개변수가 종리브 스캘럽부의 응력에 미치는 영향을 살펴보았으며, 이를 통하여 스캘럽부에 대한 S-N선도를 추정하였다. 피로실험을 수행한 결과, 낮은 응력수준에서는 스캘럽부에서 피로균열이 발생하였고, 높은 응력수준에서는 핸드홀 덮개판의 파괴 후에 종리브의 갑작스런 파괴가 일어났다. 피로실험결과를 JSSC 피로등급과 Shigley와 Juvinall이 제안한 방법에 의한 피로강도와 비교검토한 결과, 데크플레이트와 종리브 현장연결 스캘럽부는 규정된 피로등급를 만족하였다.

Structural Reliability of Thick FRP Plates subjected to Lateral Pressure Loads

  • Hankoo Jeong;R. Ajit Shenoi;Kim, Kisung
    • Journal of Ship and Ocean Technology
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    • 제4권2호
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    • pp.38-57
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    • 2000
  • This paper deals with reliability analysis of specially orthotropic plates subjected to transverse lateral pressure loads by using Monte Carlo simulation method. The plates are simply supported around their all edges and have a low short span to plate depth ratio with rectangular plate shapes. Various levels of reliability analyses of the plates are performed within the context of First-Ply-Failure(FPF) analysis such as ply-/laminate-level reliability analyse, failure tree analysis and sensitivity analysis of basic design variables to estimated plate reliabilities. In performing all these levels of reliability analyses, the followings are considered within the Monte Carlo simulation method: (1) input parameters to the strengths of the plates such as applied transverse lateral pressure loads, elastic moduli, geometric including plate thickness and ultimate strength values of the plates are treated as basic design variables following a normal probability distribution; (2) the mechanical responses of the plates are calculated by using simplified higher-order shear deformation theory which can predict the mechanical responses of thick laminated plates accurately; and (3) the limit state equations are derived from polynomial failure criteria for composite materials such as maximum stress, maximum strain, Tsai-Hill, Tsai-Wu and Hoffman.

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직교이방성 무한평판 내부의 두 원공사이에 존재하는 균열의 해석 (Analysis of a Crack Approaching Two Circular Holes in an Orthotropic Infinite Plate)

  • 정성균;홍창선
    • 대한기계학회논문집
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    • 제17권7호
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    • pp.1710-1718
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    • 1993
  • This paper investigates the problem of a crack approaching two circular holes in an orthotropic infinite plate. The stress intensity factors were obtained by using the modified mapping-collocation method. The present results show excellent agreement with existing solutions for a crack approaching two circular holes in an isotropic infinite plate. In the numerical examples, various types of cross-ply laminated composites were considered. To investigate the effect of orthotropy and geometry(d/R and a/(d-R)) on crack tip singularity, stress intensity factors were considered as functions of the normalized crack length. It is expected that the modified mapping-collocation method can be applied to the analysis of various kinds of cracks existing around the stress-concentration region of composite laminate.

직교이방성 판 내의 다중 곡선균열 해석 (Analysis of Multiple Curved Cracks in An Orthotropic Plate)

  • 김만원;박재학
    • 대한기계학회논문집A
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    • 제27권6호
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    • pp.969-980
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    • 2003
  • The interactions between curved cracks are examined in an orthotropic plate and the effects of rectilinear anisotropy on the stress intensity factors are analyzed. The finite element alternating method (FEAM) is used in this study to get the stress intensity factors for the multiple curved cracks. To obtain analytical solutions, which is necessary in FEAM, the curved cracks are modeled as continuous distributions of dislocations, and integral equations are formulated for unknown dislocation density functions to satisfy the given resultant forces on the crack surfaces. Several basic problems are solved to verify the accuracy and efficiency of the proposed method and it can be found that present results show good agreements with the previously published results.

유공 직사각형 보강판의 진동해석 (Natural Vibrations of Rectangular Stiffened Plates with Inner Cutouts)

  • 김극천;한성용;정정훈
    • 대한조선학회지
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    • 제24권3호
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    • pp.35-42
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    • 1987
  • For the analysis of natural vibrations of a rectangular stiffened plate with inner cutouts, an application of the Rayleigh-Ritz method is investigated. In construction of the trial function for the Rayleigh quotient, only the outer boundary conditions are satisfied with combination of Euler beam functions. As to the modeling of stiffened plates for the energy calculations, a lumping stiffener-effects method and the orthotropic plate analogy are considered for the purpose of comparison. Some numerical results obtained by the Rayleigh-Ritz method are compared with results by experiments and the finite element method. The following are major conclusions; (1) With the lumping stiffener-effects modeling the Rayleigh-Ritz method gives good results of both natural frequencies and mode shapes. The orthotropic plate analogy in cases of regularly stiffened plates is of restrictive use i.e. acceptable for a small cutout. (2) The natural frequency of a stiffened plate with inner cutouts between stiffeners is higher than that of without cutouts and increase as the hole area ratio increases as long as there are no discontinuous stiffeners due to the cutout.

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특별직교 이방성 판 이론에 의한 교랑 상부구조 설계 (Bridge Superstructures Design by Special Othotropic Plate Theory)

  • Kim, Dun-Hyun;Han, Bong-Koo;Lim, Tae-Ho;Oh, Sang-Sub
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2003년도 추계학술발표대회 논문집
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    • pp.171-174
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    • 2003
  • The Special orthotropic plate theory is used for analysis of panels made of steel girders and cross-beams, and made of reinforced concrete. The cross-sections of girders and cross-beams are WF types. The result is compared with that of the beam theory. According to the numerical examination given in this paper, the result by the plate theory is 2.43 times stiffer than that of beam theory, The result for the concrete slab in given for the practicing engineers.

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Buckling of sandwich plates with FG-CNT-reinforced layers resting on orthotropic elastic medium using Reddy plate theory

  • Shokravi, Maryam
    • Steel and Composite Structures
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    • 제23권6호
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    • pp.623-631
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    • 2017
  • Present paper deals with the temperature-dependent buckling analysis of sandwich nanocomposite plates resting on elastic medium subjected to magnetic field. The lamina layers are reinforced with carbon nanotubes (CNTs) as uniform and functionally graded (FG). The elastic medium is considered as orthotropic Pasternak foundation with considering the effects of thermal loading on the spring and shear constants of medium. Mixture rule is utilized for obtaining the effective material properties of each layer. Adopting the Reddy shear deformation plate theory, the governing equations are derived based on energy method and Hamilton's principle. The buckling load of the structure is calculated with the Navier's method for the simply supported sandwich nanocomposite plates. Parametric study is conducted on the combined effects of the volume percent and distribution types of the CNTs, temperature change, elastic medium, magnetic field and geometrical parameters of the plates on the buckling load of the sandwich structure. The results show that FGX distribution of the CNTs leads to higher stiffness and consequently higher buckling load. In addition, considering the magnetic field increases the buckling load of the sandwich nanocomposite plate.

면내 선형분포하중을 받는 수평보강재가 설치된 직교이방성판의 좌굴강도 (Buckling Strength of Orthotropic Rectangular Plate with a Longitudinal Stiffener under In-plane Linearly Distributed Loads)

  • 정재호;윤순종;조선규
    • 한국강구조학회 논문집
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    • 제10권3호통권36호
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    • pp.393-406
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    • 1998
  • 본 연구는 수평보강된 직교이방성판의 좌굴거동에 관한 것으로서 면내 선형분포하중을 받는 수평보강된 직교이방성판의 좌굴해석식을 Rayleigh-Ritz법을 사용하여 유도하였으며 보강재의 위치에 따른 좌굴응력의 상한치를 Lagrangian multiplier법을 사용하여 결정하였다. 판의 네 변은 단순지지되어 있다고 가정하였으며, 보강재는 보요소로 간주하였다. 유도된 식을 사용하여 보강재와 판의 폭비와 보강재의 위치를 변화시켜가며 좌굴해석을 수행한 결과 면내 선형분포하중을 받는 네 변이 단순지지된 수평보강된 직교이방성판의 효과적인 보강재의 설치 위치는 판의 좌굴응력의 상한치가 최대가 되는 위치임을 알 수 있었다.

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Analytical solution for bending analysis of soft-core composite sandwich plates using improved high-order theory

  • Kheirikhah, M.M.;Khalili, S.M.R.;Fard, K. Malekzadeh
    • Structural Engineering and Mechanics
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    • 제44권1호
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    • pp.15-34
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    • 2012
  • In the present paper, an improved high-order theory is used for bending analysis of soft-core sandwich plates. Third-order plate assumptions are used for face sheets and quadratic and cubic functions are assumed for transverse and in-plane displacements of the orthotropic soft core. Continuity conditions for transverse shear stresses at the interfaces as well as the conditions of zero transverse shear stresses on the upper and lower surfaces of the plate are satisfied. Also, transverse flexibility and transverse normal strain and stress of the orthotropic core are considered. The equations of motion and boundary conditions are derived by principle of minimum potential energy. Analytical solution for bending analysis of simply supported sandwich plates under various transverse loads are presented using Navier's solution. Comparison of the present results with those of the three-dimensional theory of elasticity and some plate theories in the literature confirms the accuracy of the proposed theory.

Vibration analysis of thick orthotropic plates using quasi 3D sinusoidal shear deformation theory

  • Sadoun, Mohamed;Houari, Mohammed Sid Ahmed;Bakora, Ahmed;Tounsi, Abdelouahed;Mahmoud, S.R.;Alwabli, Afaf S.
    • Geomechanics and Engineering
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    • 제16권2호
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    • pp.141-150
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    • 2018
  • In this current work a quasi 3D "trigonometric shear deformation theory" is proposed and discussed for the dynamic of thick orthotropic plates. Contrary to the classical "higher order shear deformation theories" (HSDT) and the "first shear deformation theory" (FSDT), the constructed theory utilizes a new displacement field which includes "undetermined integral terms" and presents only three "variables". In this model the axial displacement utilizes sinusoidal mathematical function in terms of z coordinate to introduce the shear strain impact. The cosine mathematical function in terms of z coordinate is employed in vertical displacement to introduce the impact of transverse "normal deformation". The motion equations of the model are found via the concept of virtual work. Numerical results found for frequency of "flexural mode", mode of shear and mode of thickness stretch impact of dynamic of simply supported "orthotropic" structures are compared and verified with those of other HSDTs and method of elasticity wherever considered.