• 한국전산구조공학회논문집
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• 제13권3호
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• pp.321-328
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• 2000

본 연구는 유한한 회전의 2차항을 고려한 변위장에 기초하여 변곡률을 가지는 비대칭 박벽곡선보의 해석이론을 제시한다. Vlasov의 가정에 의한 연속체의 선형화된 가상일의 원리로부터 총 포텐셜 에너지를 유도하고, 모든 변위 파라미터와 ？ 함수는 도심에서 정의된다. 절점당 8개의 자유도를 가지는 박벽곡선보 요소의 개발 과정에서 3차 Hermitian 다항식이 형상함수로 이용된다. 본 연구의 타당성과 정확도를 입증하기 위하여, 일축대칭 단면을 갖는 포물선과 타원형상의 곡선보를 선택하여 3차원 자유진동해석과 안정성 해석을 수행한다. 그리고 이 결과를 ABAQUS의 쉘 요소에 의한 것과 비교한다.

• Structural Engineering and Mechanics
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• 제9권6호
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• pp.569-588
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• 2000

The plastic collapse loads and their locations are predicted for a class of tapered, initially curved, and transversely corrugated cantilevered beams subjected to static tip loading. Results of both closed form and finite element solutions for several rigid perfectly plastic and elastic perfectly plastic beam models are evaluated. The governing equations are cast in nondimensional form for efficient studies of collapse load as it varies with beam geometry and the angle of the tip load. Static experiments for laboratory-scale configurations whose taper flared toward the tip, complemented the theory in that collapse occurred at points about 40% of the beams length from the fixed end. Experiments for low speed impact loading of these configurations showed that collapse occurred further from the fixed end, between the 61% and 71% points. The results may be applied to the design of safer highway guardrail terminal systems that collapse by design under vehicle impact.

• 한국산학기술학회논문지
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• 제16권10호
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• pp.6673-6678
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• 2015

최근 빈번히 건설되고 있는 비정형 건축물들은, 개별부재의 수직/수평적 연결방식 에서 벗어나, 외관 및 내부 구성요소들의 단면이 자유롭게 변화되는 곡선의 형태를 띠고 있다. 이러한 구조물의 안정성 평가를 위해서 고전적 방식의 유한요소 해석기법이 적용된 상용프로그램이 사용되고 있으나, 과도한 절점분할 방식 또는 유한요소망(Finite Element Mesh)의 도입으로 인하여 해석시간이 길어지고 사용성 및 해석 정밀도가 낮은 문제점을 안고 있다. 따라서 본 연구에서는, 전술된 문제점을 개선하기 위하여, 임의의 곡률을 가진 단위 부재 및 단위요소에 대한 수학적 해석모형을 활용하여 비정형구조물에 대한 구조안정성 평가를 효과적으로 수행할 수 있는 전후처리 모듈을 개발하였다. 본 연구에서 개발된 전후처리 모듈은 곡선형 부재의 곡률을 NURBS 제어점을 이용하여 제어할 수 있도록 개발되었으며, 그로 인해 상용프로그램보다 빠른 형상 모델링이 가능하였다. 또한, 자유로운 형상에 대한 시각적 확인이 가능하여 비정형 건축물의 형상과 거동양상의 현실적인 묘사가 가능하였다.

• 한국철도학회:학술대회논문집
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• 한국철도학회 2004년도 추계학술대회 논문집
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• pp.906-915
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• 2004

Derivation procedures of exact dynamic stiffness matrices of thin-walled curved beams subjected to axial forces are rigorously presented for the spatial free vibration analysis. An exact dynamic stiffness matrix is established from governing equations for a uniform curved beam element with nonsymmetric thin-walled cross section. Firstly this numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. Thus, displacement functions of dispalcement parameters are exactly derived and finally exact stiffness matrices are determined using clement force-displacement relationships. The natural frequencies of the nonsymmetric thin-walled curved beam are evaluated and compared with analytical solutions or results by ABAQUS's shell elements in order to demonstrate the validity of this study.

• Coupled systems mechanics
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• 제8권6호
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• pp.537-553
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• 2019

In this paper we present geometrically exact Kirchhoff's initially curved planar beam model. The theoretical formulation of the proposed model is based upon Reissner's geometrically exact beam formulation presented in classical works as a starting point, but with imposed Kirchhoff's constraint in the rotated strain measure. Such constraint imposes that shear deformation becomes negligible, and as a result, curvature depends on the second derivative of displacements. The constitutive law is plasticity with linear hardening, defined separately for axial and bending response. We construct discrete approximation by using Hermite's polynomials, for both position vector and displacements, and present the finite element arrays and details of numerical implementation. Several numerical examples are presented in order to illustrate an excellent performance of the proposed beam model.

• Steel and Composite Structures
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• 제10권4호
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• pp.297-315
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• 2010

This paper is concerned with free vibration characteristics and natural frequency of horizontally curved composite plate girder bridges. Three-dimensional finite element models are developed for the girders using the software package LUSAS and analyses carried out on the models. The validity of the finite element models is first established through comparison with the corresponding results published by other researchers. Studies are then carried out to investigate the effects of total number of girders, number of cross-frames and curvature on the free vibration response of horizontally curved composite plate girder bridges. The results confirm the fact that bending modes are always coupled with torsional modes for horizontally curved bridge girder systems. The results show that the first bending mode is influenced by composite action between the concrete deck and steel beam at low subtended angle but, on the girders with larger subtended angle at the centre of curvature such influence is non-existence. The increase in the number of girders results in higher natural frequency but at a decreasing rate. The in-plane modes viz. longitudinal and arching modes are significantly influenced by composite action and number of girders. If no composite action is taken into account the number of girders has no significant effect for the in-plane modes.

• 한국재난정보학회 논문집
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• 제14권3호
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• pp.379-386
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• 2018

연구목적: 본 연구는 I-Shape 단면형상을 가지고 있는 곡선교량의 지진파 불확실성에 따른 안전성 분석을 위해 확률론적 기반 취약도 평가를 목적으로 한다 연구방법: 상용유한요소해석 프로그램(ABAQUS, ANSYS)구축된 모델의 검증을 위해 토크와 집중하중을 적용하여 정적해석에 따른 해석결과와 이론해를 곡선 보의 1/4L, 2/4L, 3/4L 지점에서 휨 모멘트를 비교한 결과 모든 지점에서 1%내로 오차가 발생하는 것으로 나타나 3차원 유한요소 모델에 대한 신뢰성을 확보 하였다. 곡선교량 구조물의 지진파의 불확실성을 위해 경주 및 포항 지진을 포함하여 세계각지에서 발생한 20개의 지진파를 0.2g부터 1.5g까지 5개의 Scale로 변화시켜 시간이력해석을 수행하였으며, Monte-Carlo Simulation을 기반으로 지진 취약도 평가를 수행하였다. 연구결과: 지진 취약도 분석결과 한계상태를 190MPa로 하였을 때 0.2g를 넘어가면서 파괴가 발생하나 한계상태를 315MPa로 하였을 경우 0.6g를 넘어서면서 파괴가 발생하는 것으로 나타났다. 결론: 본 연구에서 이론해와 수치해석 모델을 비교함으로써 유한요소 모델을 검증하였으며 구축된 I-Shape 곡선 보 모델의 경우 고주파수 영역에 민감성을 보이며, 추후 연구에서 곡선 보의 주요 매개변수인 단면형상에 따른 지진 취약도 평가를 수행하고자 한다.

• 한국해양공학회지
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• 제26권5호
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• pp.87-93
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• 2012

Many longitudinally-arranged pipes in ships are equipped with loops as a measure to reduce stresses caused by displacement loads conveyed from the hull girder bending and/or thermal loads of carried fluid of non-ambient temperature. But as the loops have some negative effects such as causing extra manufacturing cost and occupying extra space, the number and the dimensions of the loops need to be minimized. In the meanwhile, a design formula for pipe loops has been developed by modeling them as a spring element of which stresses and axial stiffness are calculated based on the beam theory. But as the beam theory turns out to be inappropriate to deal with the complex structural behavior in the curved corner portion of the loop, this paper aims at improving the previously developed design formula by adopting correction factors which can allow for the gap between the results of beam theory and a more accurate analysis. This paper adopts a finite element analysis with two-dimensional shell elements with some validation work for it. The paper ends with a sample application of the proposed formulas showing their accuracy and efficiency.

• Structural Engineering and Mechanics
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• 제60권1호
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• pp.111-130
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• 2016

Two new elements with six degrees of freedom are proposed by applying the equilibrium conditions and strain-displacement equations. The first element is formulated for the infinite ratio of beam radius to thickness. In the second one, theory of the thick beam is used. Advantage of these elements is that by utilizing only one element, the exact solution will be obtained. Due to incorporating equilibrium conditions in the presented formulations, both proposed elements gave the precise internal forces. By solving some numerical tests, the high performance of the recommended formulations and also, interaction effects of the bending and axial forces will be demonstrated. While the second element has less error than the first one in thick regimes, the first element can be used for all regimes due to simplicity and good convergence. Based on static responses, it can be deduced that the first element is efficient for all the range of structural characteristics. The free vibration analysis will be performed using the first element. The results of static and dynamic tests show no deficiency, such as, shear and membrane locking and excessive stiff structural behavior.

• Structural Engineering and Mechanics
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• 제8권3호
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• pp.257-272
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• 1999

In this paper a simple finite element is proposed for analyzing out of plane vibration of thin walled curved beams, with both open and closed sections, considering shear flexibility. The present element is obtained from a variational formulation governing the dynamics of a three-dimensional elastic body in which the stress tensor as well as the displacements are variationally independent. The element has two nodes with four degrees of freedom in each. Numerical examples for the first six frequencies are performed in order to assess the accuracy of the finite element formulation and to show the influence of the shear flexibility on the dynamics of the member.