• 한국강구조학회 논문집
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• 제19권6호
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• pp.621-632
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• 2007

본 연구에서는 변형 형상을 고려한 평강 리브 보강판의 직교이방성 휨강성을 산정하고 이를 정형화하고자, 중앙에 하중이 재하되는 보강판에 대하여 x 방향 휨강성만 수정한 경우, y 방향 휨강성만 수정한 경우, x, y 방향 휨강성을 조합 수정한 경우의 해석을 수행하고, 최대처짐이 발생하는 중앙점과 x 방향 1/4지점, y 방향 1/4지점의 처짐을 기준으로 비교 분석하였다. 비교 결과, 조합 수정하는 경우가 가장 좋은 변형 형상을 나타내었으며, 이때, 각 방향 수정계수의 비율은 보강판의 제원마다 하나의 함수로 표현 가능함을 알 수 있었다. 제안한 함수의 효율성을 살펴보기 위하여, 지지조건, 변장비 및 리브 배치가 다른 보강판에 적용한 결과, 해석 예제에 비하여 오차율 증가가 크지 않았으며, 기존의 연구결과에 비하여 상당한 정확도 향상을 나타내었다. 따라서, 평강 리브를 갖는 보강판을 직교이방성 판으로 해석하는 경우, 본 연구에서 제안한 수정계수 함수를 적용하여 직교이방성 휨강성을 수정하면 간편하게 상당한 정확도의 처짐 결과를 얻을 수 있을 것으로 사료된다.

• 한국복합재료학회:학술대회논문집
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• 한국복합재료학회 2001년도 춘계학술발표대회 논문집
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• pp.135-140
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• 2001

A post-tensioned reinforced concrete slab bridge is analyzed by specially orthotropic laminate theory. Symmetrically reinforced slab with tension and compression steel is considered for convenience of analysis. Each longitudinal and transverse steel layer is regarded as a lamina, and material constants of each lamina is calculated by the use of the rule of mixture. This bridge is under uniformly distributed vertical loads, and axial loads and end moments due to post-tensioning. In this paper, finite difference method is used for numerical analysis of this bridge. Theory and analysis method of specially orthotropic laminate plates used in this paper can be used for design of new bridges, and maintenance and repair of old bridges.

• 한국복합재료학회:학술대회논문집
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• 한국복합재료학회 2001년도 춘계학술발표대회 논문집
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• pp.141-146
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• 2001

A post-tensioned steel plate girder bridge with cross-beams is analyzed by specially orthotropic laminate theory. The cross-sections of both girders and cross-beams are WF types. The result is compared with that of the beam theory. This bridge with simple support is under uniformly distributed vertical load, and axial loads and moment due to post-tension. In this paper, finite difference method for numerical analysis of simple supported bridge is developed. Relatively exact solution is obtained even with small number of meshes. Theory and analysis method of specially orthotropic laminate plates used in this paper can be used in design of new bridges, and maintenance and repair of old bridges.

• Steel and Composite Structures
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• 제9권4호
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• pp.303-323
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• 2009

Charts for the bending moments in the closed rib orthotropic deck plate are derived, based on the method originally introduced by Pelikan and Esslinger. New charts are done for EN 1991-2 traffic load distribution schemes. The governing Huber plate equation is solved utilizing Fourier series for various bridge deck plate boundary conditions. Bending moments are given as a function of deck plate rigidities and span length between cross beams. Old diagrams according to DIN 1072, the new ones according to EN 1991-2 and FE analyses results are compared. For typical bridge orthotropic deck plates, it can be concluded that the new EN 1991-2 traffic loads produce larger mid-span bending moments when two lane schemes are used, then those of DIN 1072. For support moments, DIN 1072 gives larger values for any number of lanes, especially under span lengths of 5m. The relevant differences are up to 25%.

• 복합신소재구조학회 논문집
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• 제3권1호
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• pp.21-28
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• 2012

이 연구에서는 직교이방성 판의 좌굴 및 직교이방성 판요소로 구성된 구조용 압축재의 국부좌굴에 대한 해석적 연구를 수행하였다. 섬유보강 폴리머 플라스틱 재료는 높은 비강도 및 비강성, 높은 부식저항성, 경량성 등 강재나 콘크리트와 비교해서 많은 장점을 가지고 있다. 특히, 펄트루젼 생산 방식은 섬유보강 폴리머 플라스틱 재료의 여러가지 생산방법 중 구조용 플라스틱 부재를 대량으로 생산하기에 가장 적합한 방법이다. 펄트루젼 생산방식은 부재의 축을 따라 주요 보강섬유가 배치되기 때문에 이 재료는 직교이방성으로 간주된다. 그러나, 펄트루젼 섬유보강 플라스틱 부재는 낮은 탄성을 갖고 있고 얇은 판요소로 구성되어 있기 때문에 압축하중이 재하될 경우 좌굴이 발생할 수 있다. 따라서, 이 부재를 설계하는데 안정성은 매우 중요한 문제가 된다. 이 연구에서는 기존의 연구를 따라서 직교이방성 판 및 직교이방성 판요소로 구성된 압축재의 국부좌굴에 대하여 검토하였으며, 국내에서 생산된 직교이방성 판요소로 구성된 압축재의 국부좌굴강도를 계산하였다.

• Composites Research
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• 제12권4호
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• pp.33-41
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• 1999

이 논문에서는 첨가질량이 있거나 없는 구조요소에 대한 간편하고 정확한 진동해석 방법이 주어진다. 사용된 방법은 1974년 Kim, D. H.에 의해 개발되었다. 이 방법은 변단면과 다양한 경계조건을 갖는 판에 매우 효과적이다. 이 방법은 양단단순-타단자유를 갖는 특별직교이방성 적층복합판에 대해 적용되었다. 이러한 판은 콘크리트 거더-가로보 시스템을 포함하는 단순 지지된 교량상판의 대부분을 나타낸다. 쉬운 이해를 위해 상세한 실예가 보와판에 대해 주어졌다.

• Steel and Composite Structures
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• 제21권6호
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• pp.1287-1306
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• 2016

The current research presents a buckling analysis of isotropic and orthotropic plates by proposing a new four variable refined plate theory. Contrary to the existing higher order shear deformation theories (HSDT) and the first shear deformation theory (FSDT), the proposed model uses a new displacement field which incorporates undetermined integral terms and involves only four variables. The governing equations for buckling analysis are deduced by utilizing the principle of virtual works. The analytical solution of a simply supported rectangular plate under the axial loading has been determined via the Navier method. Numerical investigations are performed by using the proposed model and the obtained results are compared with CPT solutions, FSDT solutions, and the existing exact solutions in the literature. It can be concluded that the developed four variable refined plate theory, which does not use shear correction coefficient, is not only simple but also comparable to the FSDT.

• 대한조선학회지
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• 제17권2호
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• pp.11-16
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• 1980

For vibration analysis of stiffened plates the orthotropic plate analogy is commonly accepted. As to stiffened plates in contact with water, however, there is still much uncertainty in estimation of the added mass because of the lack of direct methods. The authors, considering that for added mass of plates there are many reliable data derived theoretically or experimentally available, suggest a method to estimate the added mass of a stiffened plate by combining the mass increase factor, $\beta$, of an equivalent orthotropic plate and the correction factor, $\kappa$, for the effects of stiffeners. The latter is to be derived from systematic experimental investigations. Then, the natural frequency in water, f', can be calculated from that in air, f, by the equation $f'=f/\sqrt{1+\kappa\beta}$. To investigate practical applicability of this method, a systematic experiment was carried out with five uniaxially stiffened plates. Each of them had a plate of same size, $600mm{\times}600mm{\times}3.2mm$, but stiffeners of different size in the web-depth, 41.6mm, 51.2mm or 66.8mm and of different spacing 75mm, 100mm, or 150mm. Natural frequencies were measured under simply supported-edge conditions in both air and water, and corresponding $\kappa$ values derived. In spite of wide variations of web-depth and spcae of stiffeners, the experimental results show that the diversity of $\kappa$ values is not remarkable; mean values of $\kappa$ are 1.31 with standard deviation of 0.025 for the first modes and 1.27 with that 0.077 for the second modes. Hence, the authors concluded that the above $\kappa$ values can be used generally for the cases of uniaxially stiffened plates both sides of which contact with water, and that $\kappa$ values of general use for the cases of cross-stiffened plates may also be obtainable from similar experiments.

• Structural Engineering and Mechanics
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• 제7권5호
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• pp.503-512
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• 1999

Practicing a hole or an orifice through a plate or a slab constitutes a very frequent engineering situation due to operational reasons imposed on the structural system. From a designer's viewpoint it is important to know the effect of this modification of the mechanical system upon its elastodynamic characteristics. The present study deals with the determination of the lower natural frequencies of the structural element described in the title of the paper using a variational approach and expressing the displacement amplitude of the plate in terms of the double Fourier series which constitutes the classical, exact solution when the structure is simply supported at its four edges.

• 산업기술연구
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• 제17권
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• pp.199-204
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• 1997

In this paper, the result of application of vibration method to the orthotropic plates with free edges supported on elastic foundation and with a pair of opposite edges under axial forces is presented. Such plates represent the concrete highway slab and hybrid composite pavement of bridges. The reinforced concrete slab can be assumed as a special orthotropic plate, as a close approximation. The highway slab is supported on elastic foundation, with free boundaries. Sometimes, the pair of edges perpendicular to the traffic direction may be subject to the axial forces. The plate is subject to the concentrated load/loads, in the form of traffic loads, or the test equipments. Finite difference method is used to obtain the deflection influence surfaces needed for vibration analysis. The influence of the modulus of the foundation, the aspect ratio of the plate, and the magnitudes of the axial forces and the concentrated attached mass on the plate, under the natural frequency is thoroughly studied.