• 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.

• Structural Engineering and Mechanics
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• 제60권3호
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• pp.489-505
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• 2016

Sinusoidal shear deformation theory (SSDT) is developed here for dynamic buckling of functionally graded (FG) nano-plates. The material properties of plate are assumed to vary according to power law distribution of the volume fraction of the constituents. In order to present a realistic model, the structural damping of nano-structure is considered using Kelvin-Voigt model. The surrounding elastic medium is modeled with a novel foundation namely as orthotropic visco-Pasternak medium. Size effects are incorporated based on Eringen'n nonlocal theory. Equations of motion are derived from the Hamilton's principle. The differential quadrature method (DQM) in conjunction with Bolotin method is applied for obtaining the dynamic instability region (DIR). The detailed parametric study is conducted, focusing on the combined effects of the nonlocal parameter, orthotropic visco-Pasternak foundation, power index of FG plate, structural damping and boundary conditions on the dynamic instability of system. The results are compared with those of first order shear deformation theory and higher-order shear deformation theory. It can be concluded that the proposed theory is accurate and efficient in predicting the dynamic buckling responses of system.

• 한국강구조학회 논문집
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• 제13권1호
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• pp.61-69
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• 2001

본 연구에서는 거더와 가로보로 이루어진 패널을 특별 직교 이방성 판이론을 응용하여 해석하였다. 거더와 가로보는 H 형단면을 사용하였으며, 임의의 단면과 지점을 갖고 임의의 하중을 받는 보다 탑의 진동해석 방법이 발표된 바가 있다. 본 논문에서는 특별 직교 이방성 판이론을 강교량에 응용하였으며, 해석한결과를 제시하였다. 이러한 진동 해석을 위하여 처짐의 영향을 고려한 다양한 방법이 검토되었다. 이러한 목적으로 본 논문에서는 유한차분법을 사용하였다. 고유진동수에 대한 $D_{22}$ 탄성계수의 영향을 철저히 검토하였다. 본 연구에서는 제시한 판이론을 수치해석을 해본 결과 빔이론 보다 강성이 2.43배인 것을 알 수 있었다.

• 복합신소재구조학회 논문집
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• 제1권4호
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• pp.13-17
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• 2010

A post-tensioned slab bridge is analyzed by the specially orthotropic theory. Each longitudinal and transverse steel layer is regarded as a lamina, and material constants of each lamina is calculated by the use of rule of mixture. This slab bridge with simple support is under uniformly distributed vertical and axial loads. In this paper, the finite difference method and the beam theory are used for analysis. The result of beam analysis is modified to obtain the solution of the plate analysis. The result of this paper can be used for post-tensioned slab bridge analysis by the engineers with undergraduate study in near future.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2004년도 추계학술대회논문집
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• pp.853-856
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• 2004

조립식 건축용 외장재로 사용되는 샌드위치판은 충분한 구조강도가 필요하기 때문에 표면재가 굴곡판 (Corrugated plate)으로 구성되는 경우가 많다. 샌드위치판의 부재로서 굴곡판을 이방성판으로 고려하면 이론 해석상 많은 어려움이 있다. 그러나 이방성판이 샌드위치판의 부재로서 다중판으로 되었을 때에는 단판에서 보인 여러 가지 현상들이 다중판 효과에 비해서 크지않음이 실험결과에서 보이고 있다. 이러한 사실에 착안하여 이방성판을 등가의 평판으로 모델링한 후 샌드위치 모델을 적용하여 이론 예측을 수행하였다. 계측결과와 비교로부터 본 연구에서 사용된 방법은 좋은 일치를 보이고 있다.

• 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.

• 복합신소재구조학회 논문집
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• 제1권2호
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• pp.59-65
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• 2010

단순지지된 슬래브교량의 경우 특별직교이방성 판이론에 의하여 해석하였다. 이 방법은 일반 기술자들에게는 너무 어려워서 현장에서 기술자들이 실무적으로 접근하기에는 많은 어려움이 있다. 본 연구에서는 일반 현장의 실무 기술자들이 사용할 수 있는 보 이론을 사용하여 단순지지된 콘크리트 슬래브를 단위 폭을 가진 보로 해석이 가능하도록 수정계수를 만들어서 실무에 적용할 때의 사용 가능한 자료를 만들고자 하였다. 본 연구에서는 1 : 1 ~ 1 : 6 까지 형상비를 변화 시켜가며 해석을 수행하였다. 본 논문의 연구의 결과는 단순지지된 슬래브교량의 해석에 이용할 수 있다.

• 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.

• 한국농공학회:학술대회논문집
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• 한국농공학회 1999년도 Proceedings of the 1999 Annual Conference The Korean Society of Agricutural Engineers
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• pp.258-264
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• 1999

In this study, a computer program was developed for analysis of the orthotropic curved ring sector plates. In the developing program , the thin-plate theory and multi-base coordinate system was adopted. The effect of design factors-boundary conditions, loading conditions, steel ratio, open angle, radius of curvature and relative flexural rigidity between slab and edge-beam-on the behavior of the circular ring sector plates were discussed. Also, the practical limitations was proposed to replace the problem of the orthotropic sector plate by equivalent rectangular plage.

• 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.