• 한국전산구조공학회논문집
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• 제20권3호
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• pp.265-272
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• 2007

본 논문에서는 적응적 h-유한요소 세분화에 의한 박스형 절판 구조물의 선형좌굴 유한요소해석법을 제안한다. 면내회전 자유도를 갖는 변절점 평판쉘유한요소를 사용하여 유한요소의 거동을 개선하고 6자유도를 갖는 다른 유한요소와의 자유도의 연결을 용이하게 한다. 이와 같이 개발된 평판쉘유한요소에 의하여 박스형 절판구조물의 정확한 구조해석이 가능한데, 변절점유한요소를 정식화함으로써 적응적 h-유한요소 세분화시에 발생하는 다른 패턴의 사각형 유한요소 세분화망의 연결을 용이하게 해결한다. 오차평가에 대한 개선된 응력장을 얻기 위하여 상위수렴 조각회복법을 적용한다. 이와 같이 상위수렴 조각회복법에 의한 개선된 응력장에 의하여 구성된 유한요소 세분화망을 이용하여 좌굴하중과 좌굴모드를 자동적으로 구할 수 있도록 한다.

• Structural Engineering and Mechanics
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• 제14권5호
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• pp.595-610
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• 2002

This paper presents an efficiency of various non-conforming (NC) modes in development of a series of new finite elements with the special emphasis on 4-node quadrilateral elements. The NC modes have been used as a key scheme to improve the behaviors of various types of new finite elements, i.e., Mindlin plate bending elements, membrane elements with drilling degrees of freedom, flat shell elements. The NC modes are classified into three groups according to the 'correction constants' of 'Direct Modification Method'. The first group is 'basic NC modes', which have been widely used by a number of researchers in the finite element communities. The basic NC modes are effective to improve the behaviors of regular shaped elements. The second group is 'hierarchical NC modes' which improve the behaviors of distorted elements effectively. The last group is 'higher order NC modes' which improve the behaviors of plate-bending elements. When the basic NC modes are combined with hierarchical or higher order NC modes, the elements become insensitive to mesh distortions. When the membrane component of a flat shell has 'hierarchical NC modes', the membrane locking can be suppressed. A number of numerical tests are carried out to show the positive effect of aforementioned various NC modes incorporated into various types of finite elements.

• Structural Engineering and Mechanics
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• 제77권1호
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• pp.57-74
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• 2021

The thermal eigenvalue responses of the graded sandwich shell structure are evaluated numerically under the variable thermal loadings considering the temperature-dependent properties. The polynomial type rule-based sandwich panel model is derived using higher-order type kinematics considering the shear deformation in the framework of the equivalent single-layer theory. The frequency values are computed through an own home-made computer code (MATLAB environment) prepared using the finite element type higher-order formulation. The sandwich face-sheets and the metal core are discretized via isoparametric quadrilateral Lagrangian element. The model convergence is checked by solving the similar type published numerical examples in the open domain and extended for the comparison of natural frequencies to have the final confirmation of the model accuracy. Also, the influence of each variable structural parameter, i.e. the curvature ratios, core-face thickness ratios, end-support conditions, the power-law indices and sandwich types (symmetrical and unsymmetrical) on the thermal frequencies of FG sandwich curved shell panel model. The solutions are helping to bring out the necessary influence of one or more parameters on the frequencies. The effects of individual and the combined parameters as well as the temperature profiles (uniform, linear and nonlinear) are examined through several numerical examples, which affect the structural strength/stiffness values. The present study may help in designing the future graded structures which are under the influence of the variable temperature loading.

• Journal of Mechanical Science and Technology
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• 제17권3호
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• pp.457-466
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• 2003

In this paper, the numerical finite element formulations were derived for the linearized Navier-Stokes' equations with assumptions of two-dimensional incompressible, homogeneous viscous fluid field, and small oscillation and the FAMD (Fluid Added Mass and Damping) code was developed for practical applications calculating the fluid added mass and damping. In formulations, a fluid domain is discretized with C$\^$0/-type quadratic quadrilateral elements containing eight nodes using a mixed interpolation method, i.e., the interpolation function for the velocity variable is approximated by a quadratic function based on all eight nodal points and the interpolation function for the pressure variable is approximated by a linear function based on the four nodal points at vertices. Using the developed code, the various characteristics of the fluid added mass and damping are investigated for the concentric cylindrical shell and the actual hexagon arrays of the liquid metal reactor cores.

• 콘크리트학회논문집
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• 제17권4호
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• pp.645-654
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• 2005

This paper presents a nonlinear finite element procedure for the analysis of reinforced and prestressed concrete shells using the four-node quadrilateral flat shell element with drilling rotational stiffness. A layered approach is used to discretize, through the thickness, the behavior of concrete, reinforcing bars and tendons. Using the smeared-crack method, cracked concrete is treated as an orthotropic nonlinear material. The steel reinforcement and tendon are assumed to be in a uni-axial stress state and to be smeared in a layer. The constitutive models, which cover the loading, unloading, and reloading paths, and the developed finite element procedure predicts with reasonable accuracy the behavior of reinforced and prestressed concrete shells subjected to different types of loading. The proposed numerical method fur nonlinear analysis of reinforced and prestressed concrete shells is verified by comparison with reliable experimental results.

• 한국CDE학회논문집
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• 제21권2호
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• pp.143-150
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• 2016

In shipbuilding, hull assemblies are manufactured by welding. The thermal deformation caused by the welding produces shape deformation. Counter-deformed design methods have been used in shipyards to cope with the weld-induced deformation of ship assembles. Finite element methods (FEMs) are frequently used to estimate welding distortion in the counter-deformed design. For the estimation of welding distortion, producing uniform rectangular elements is required to enter thermal loads on the welding line and obtain accurate analysis results. In this paper, a new automatic mesh generation method is proposed for prediction of welding deformation in FEM. Meshes are constructed for test cases to demonstrate the feasibility of the proposed mesh generation method.

• 한국자동차공학회논문집
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• 제2권1호
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• pp.116-127
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• 1994

A method using the linear matrix algebra is developed in order to determine unknown external forces in linear structural analyses. The method defines a matrix which represents the linearity of the vibrational analysis for a structural system. The unknown external forces are determined by the operations of the matrix. The method is applied to find an engine motion in an automobile system. For a simulation process, an exhaust system is modeled and analyzed by the finite element method. The validity of the simulation is verified by comparing with the experimental results the free vibration. Also, an experiment on the forced vibration is performed to determine the damping ratio of the exhaust sysetm. Estimated model parameters(natural frequency, mode shape) are in accord with the experimental results. Because the method merely repeats the transpose and inverse operations of a matrix, the solution is extremely easy and simple. Moreover, it is more accurate than the existing methods in that there is no artificial assumptions in the calculation processes. Therefore, the method is found to be reliable for the analysis of the exhaust system considering the characteristics of vibrations. Although the suggested method is tested by only the exhaust system here, it can be applied to general structures.

• 한국자동차공학회논문집
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• 제2권3호
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• pp.21-32
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• 1994

The Problem of mechanical vibration is investigated for an automotive exhaust system. The vibrational reduction effect is systematically evaluated according to the attachment of the exhaust system. Moreover, the optimal attachment position of bellows is determined from the viewpoint of vibration isolation. The structure is analysed by the finite element technique where the geometry, the mass, the stiffness and the damping properties of the exhaust pipe are modeled. The validity of the developed model is verified by comparing with the experimental results. An optimization is carried out by the quadratic approximation algorithm. The reaction transferred to an automobile body by the hanger is considered ad the objective function. It is shown that the exhaust system which has the bellows at the optimal position is more effective for the vibrational characteristics than the others. It is also proved that this analytical method is quite useful in the design stage of the exhaust system.

• 한국강구조학회 논문집
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• 제19권2호
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• pp.233-245
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• 2007

AASHTO Standard의 하중분배계수식은 지간과 주형간격이 클수록 안전측으로 나타나지만, 지간과 주형간격이 작으면 비안전측임을 기존의 유한요소 연구에서 밝혀졌다. AASHTO LRFD는 주형간격, 지간, 바닥판 두께, 그리고 종방향 강성에 따른 분배계수식을 규정하고는 있으나, 이 식은 초기에 알려지지 않은 종방향 강성 때문에 정확한 하중분배계수 값을 결정하기 위해서는 반복절차가 요구되어진다. 따라서 본 연구에서는 2경간 연속 I-형교의 내측 및 외측주형에 대하여 반복설계 과정을 필요로 하지 않는 하중분배계수 간략식을 제안한다. 주형간격, 주형길이, 바닥판 두께, 바닥판 폭, 그리고 브레이싱의 간격 및 크기의 영향을 조사하기 위하여 유한요소법을 사용하였다. GTSTRUDL을 사용하여 교량 상부구조를 편심 보모델로 이상화 하였으며, 바닥판은 쉘요소, 거더는 보요소, 그리고 이 요소들의 합성거동을 위하여 강절링크로 연결하였다. 이 해석으로부터 얻은 분배계수를 AASHTO Standard와 LRFD 방법과 비교하였으며, 다른 매개변수들에 비해 거더간격, 지간, 그리고 바닥판 두께는 분배계수에 미치는 영향이 크게 나타났다. 내측주형에서 LRFD의 분배계수는 대부분의 경우에 안전측으로 나타났지만, 외측주형에서는 지간이 길 경우 비안전측으로 나타났다. 또한, 회귀분석을 수행하여 하중분배계수 간략식을 개발하였으며, 이 식에 의한 하중분배계수는 유한요소결과 보다는 항상 안전측이면서, AASHTO LRFD 보다는 일반적으로 작게 나타났다. 제안된 간략식은 2경간 연속 I-형교에 대한 실제 하중분배계수 산정에서 교량설계자들에게 도움을 줄 것이다.