• 한국강구조학회 논문집
• /
• 제9권1호통권30호
• /
• pp.3-11
• /
• 1997

Laminated composite shells exhibit properties comsiderably different from those of the single-layer shell. Thus, to obtain the more accurate solutions to laminated composite shells ptoblems, effects of shear strain should be condidered in analysis of them. A higher-order shear deformation theory requires no shear correction coefficients. This theory is used to determine the buckling loads of elastic shells. The theory accounts for parabolic distribution of the transverse shear through the thickness of the shell and rotary inertia. Exact solutions of simply-supported shells are obtained and the results are compared with the exact solutions of the first-order shear deformation theory, and the classical theory. The present theory predicts the buckling loads more accurately when compared to the first -order and classical theory.

• 한국복합재료학회:학술대회논문집
• /
• 한국복합재료학회 2001년도 추계학술발표대회 논문집
• /
• pp.13-16
• /
• 2001

This paper presents the results of an elastic buckling analysis of isosceles trapezoidal orthotropic plate. In this study, all edges of plate are assumed to be simply supported and the difference of the applied loads are assumed to be taken out by shear of constant intensity along the sloping sides. For the buckling analysis, collocation method is employed. Finite element analysis is also conducted and the results are compared with theoretical ones.

• Steel and Composite Structures
• /
• 제30권1호
• /
• pp.13-29
• /
• 2019

This work presents the buckling investigation of functionally graded plates resting on two parameter elastic foundations by using a new hyperbolic plate theory. The main advantage of this theory is that, in addition to including the shear deformation effect, the displacement field is modelled with only four unknowns and which is even less than the first order shear deformation theory (FSDT) and higher-order shear deformation theory (HSDT) by introducing undetermined integral terms, hence it is unnecessary to use shear correction factors. The governing equations are derived using Hamilton's principle and solved using Navier's steps. The validation of the proposed theoretical model is performed to demonstrate the efficacy of the model. The effects of various parameters like the Winkler and Pasternak modulus coefficients, inhomogeneity parameter, aspect ratio and thickness ratio on the behaviour of the functionally graded plates are studied. It can be concluded that the present theory is not only accurate but also simple in predicting the critical buckling loads of functionally graded plates on elastic foundation.

• 한국구조물진단유지관리공학회 논문집
• /
• 제7권2호
• /
• pp.169-176
• /
• 2003

플레이트거더의 전단내력을 평가하기 위해서는 탄성전단좌굴강도가 정확히 산정되어야 한다. 현행 설계식에서는 탄성전단좌굴강도를 계산하기 위한 웨브 플레이트의 경계조건을 4변 단순지지로 가정하고 있다. 그러나 웨브와 플랜지의 경계조건은 일반적으로 단순지지이상의 구속을 가지고 있으며, 플랜지의 두께가 웨브의 두께에 비해 두꺼울수록 고정에 가까워진다. 플레이트거더에서 웨브 플레이트의 경계조건은 플랜지와 웨브의 두께비, 스티프너의 보강간격 등에 따라 달라지게 된다. 본 연구에서는 실험과 유한요소법을 통해 플랜지와 웨브의 폭비, 스티프너의 보강간격, 특히 플랜지와 웨브의 두께비에 따른 웨브 플레이트의 경계조건을 평가하여 플레이트거더의 전단좌굴게수를 제안하고자 한다.

• Advances in nano research
• /
• 제7권2호
• /
• pp.89-98
• /
• 2019

In this work, the thermal buckling characteristics of zigzag single-walled boron nitride (SWBNNT) embedded in a one-parameter elastic medium modeled as Winkler-type foundation are investigated using a nonlocal first-order shear deformation theory (NFSDT). This model can take into account the small scale effect as well as the transverse shear deformation effects of nanotubes. A closed-form solution for nondimensional critical buckling temperature is obtained in this investigation. Further the effect of nonlocal parameter, Winkler elastic foundation modulus, the ratio of the length to the diameter, the transverse shear deformation and rotary inertia on the critical buckling temperature are being investigated and discussed. The results presented in this paper can provide useful guidance for the study and design of the next generation of nanodevices that make use of the thermal buckling properties of boron nitride nanotubes.

• Geomechanics and Engineering
• /
• 제21권5호
• /
• pp.471-487
• /
• 2020

In this work, the buckling analysis of material sandwich plates based on a two-parameter elastic foundation under various boundary conditions is investigated on the basis of a new theory of refined trigonometric shear deformation. This theory includes indeterminate integral variables and contains only four unknowns in which any shear correction factor not used, with even less than the conventional theory of first shear strain (FSDT). Applying the principle of virtual displacements, the governing equations and boundary conditions are obtained. To solve the buckling problem for different boundary conditions, Galerkin's approach is utilized for symmetric EGM sandwich plates with six different boundary conditions. A detailed numerical study is carried out to examine the influence of plate aspect ratio, elastic foundation coefficients, ratio, side-to-thickness ratio and boundary conditions on the buckling response of FGM sandwich plates. A good agreement between the results obtained and the available solutions of existing shear deformation theories that have a greater number of unknowns proves to demonstrate the precision of the proposed theory.

• 한국전산구조공학회논문집
• /
• 제17권2호
• /
• pp.95-104
• /
• 2004

최근 건설이 증가하고 있는 곡선교는 1960년대 까지는 직선 거더의 조합으로 구성하여 건설되어 왔으나, 현재 곡선 거더의 사용이 증대되고 있는 추세이다. 곡선 거더를 사용하는 경우에는 시간과 건설비용의 절감 뿐 아니라 미관상으로도 유리하다. 판형교에서는 전단좌굴을 방지하기 위하여 전단 좌굴강도의 검토와 보강재의 설계가 반드시 필요하다. 직선 복부판과 비교하여 곡선 복부판은 형상비와 곡률에 따라 전단좌굴 강도가 변화하나, 현재까지 곡선 복부판의 전단좌굴강도에 대한 연구는 그다지 이루어지지 않은 실정이다. 따라서 본 연구에서는 곡선복부판의 선단좌굴 강도를 유한요소해석을 통하여 알아보고 이론 산정하는 간략식을 제시하였다.

• Structural Engineering and Mechanics
• /
• 제56권1호
• /
• pp.85-106
• /
• 2015

Postbuckling of thick plates made of functionally graded material (FGM) subjected to in-plane compressive, thermal and thermomechanical loads is investigated in this work. It is assumed that the plate is in contact with a Pasternak-type elastic foundation during deformation. Thermomechanical non-homogeneous properties are considered to be temperature independent, and graded smoothly by the distribution of power law across the thickness in the thickness in terms of the volume fractions of constituents. By employing the higher order shear deformation plate theory together the non-linear von-Karman strain-displacement relations, the equilibrium and compatibility equations of imperfect FGM plates are derived. The Galerkin technique is used to determine the buckling loads and postbuckling equilibrium paths for simply supported plates. Numerical examples are presented to show the influences of power law index, foundation stiffness and imperfection on the buckling and postbuckling loading capacity of the plates.

• 한국철도학회:학술대회논문집
• /
• 한국철도학회 2000년도 추계학술대회 논문집
• /
• pp.344-351
• /
• 2000

In the design of plate girder web panels, it is required to evaluate accurately the elastic buckling strength under pure shear, pure bending and combined bending and shear. Currently, elastic buckling coefficients of web panels stiffened by transverse intermediate stiffeners are determined by assuming conservatively that web panels are simply supported at the juncture between the flange and web. However, depending upon the geometry and the properties of the plate girder bridge, upper juncture between the flange and web can be assumed as fixed because concrete deck prevents the rotational displacement of upper flange. In the present study, a series of numerical analyses based on finite element modeling is carried out to investigate the effects of the concrete deck, and the resulting data are quantified in simple equations.

• Structural Engineering and Mechanics
• /
• 제33권4호
• /
• pp.447-484
• /
• 2009

The spatially coupled buckling, in-plane, and lateral bucking analyses of thin-walled Timoshenko curved beam with non-symmetric, double-, and mono-symmetric cross-sections resting on elastic foundation are performed based on series solutions. The stiffness matrices are derived rigorously using the homogeneous form of the simultaneous ordinary differential equations. The present beam formulation includes the mechanical characteristics such as the non-symmetric cross-section, the thickness-curvature effect, the shear effects due to bending and restrained warping, the second-order terms of semitangential rotation, the Wagner effect, and the foundation effects. The equilibrium equations and force-deformation relationships are derived from the energy principle and expressions for displacement parameters are derived based on power series expansions of displacement components. Finally the element stiffness matrix is determined using force-deformation relationships. In order to verify the accuracy and validity of this study, the numerical solutions by the proposed method are presented and compared with the finite element solutions using the classical isoparametric curved beam elements and other researchers' analytical solutions.