• Steel and Composite Structures
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• 제7권3호
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• pp.185-200
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• 2007

Tubular construction is widely used in a range of civil and structural engineering applications. To date, the principal product range has comprised square, rectangular and circular hollow sections. However, hot-rolled structural steel elliptical hollow sections have been recently introduced and offer further choice to engineers and architects. Currently though, a lack of fundamental structural performance data and verified structural design guidance is inhibiting uptake. Of fundamental importance to structural metallic design is the concept of cross-section classification. This paper proposes slenderness parameters and a system of cross-section classification limits for elliptical hollow sections, developed on the basis of laboratory tests and numerical simulations. Four classes of cross-sections, namely Class 1 to 4 have been defined with limiting slenderness values. For the special case of elliptical hollow sections with an aspect ratio of unity, consistency with the slenderness limits for circular hollow sections in Eurocode 3 has been achieved. The proposed system of cross-section classification underpins the development of further design guidance for elliptical hollow sections.

• 한국소음진동공학회논문집
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• 제16권10호
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• pp.1024-1035
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• 2006

A three-dimensional (3-D) method of analysis is presented for determining the free vibration frequencies and mode shapes of thick, complete (circumferentially closed), circular rings with an elliptical or circular cross-section. Displacement components $u_r,\;u_\theta\;and\;u_z$ in the radial, circumferential, and axial directions, respectively, are taken to be periodic in ${\theta}$ and in time, and algebraic polynomials in the r and z directions. Potential (strain) and kinetic energies of the circular rings are formulated, and upper bound values of the frequencies are obtained by minimizing the frequencies. As the degree of the polynomials is increased, frequencies converge to the exact values. Convergence to four-digit exactitude is demonstrated for the first five frequencies of the rings. Novel numerical results are presented for the circular rings having an elliptical cross-section based upon 3-D theory. Comparisons are also made between the frequencies from the present 3-D Ritz method and ones obtained from thin and thick ring theories, experiments, and another 3-D method.

• Wind and Structures
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• 제31권6호
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• pp.523-532
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• 2020

As the height and flexibility of high-rise buildings increase, the wind loads become more dominant and the combination coefficient of Equivalent Static Wind Loads (ESWLs) should be considered when they are used in the structural design. In the first phase of the study, a brief introduction to the theory on the combination coefficient for high-rise buildings was given and then the time history of wind-induced responses of a 208-meter high-rise building with an elliptical cross-section was presented based on the wind tunnel test results for pressure measurement. The correlation between wind-induced responses was analyzed and the combination coefficients of ESWLs of the high-rise buildings using Turkstra's rule, and Asami's method, were calculated and compared with related design codes, e.g., AIJ-RLB, ASCE 7-10, and China Load Code for structural design. The results of the study showed that the combination coefficients from Asami's method are conservative compared with the other three methods. The results of this paper would be helpful to the wind-resistant design of high-rise buildings with elliptical cross-section.

• 대한토목학회논문집
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• 제26권3A호
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• pp.457-464
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• 2006

화이버로 보강된 복합재료는 비강성과 강도가 높을 뿐만 아니라 경량화를 위한 작업이 가능한 재료로써, 항공, 선박 그리고 토목분야와 같은 많은 산업분야에서 계속적으로 사용이 증대되고 있다. 본 연구는 전단변형을 고려한 타원단면을 갖는 복합적 층 구조물의 좌굴하중 및 모드형상을 분석하였다. 좌굴해석을 수행하기 위해, 면내회전자유도를 갖는 평면응력 요소와 휨 요소를 결합하여 무결점 4절점 쉘요소를 작성하였다. 이때 추가변형률과 대체전단변형률을 도입함으로써 요소의 거동을 개선하였다. 해석모델에 대해 쉘의 기하학적 형상, 종횡비, 화이버 보강각도, 그리고 적층배열에 따른 영향을 고찰하였다. 본 연구에서 제시한 타원단면을 갖는 적층관의 임계좌굴하중과 모드형상은 여러 가지 설계변수에 의한 거동에 대한 정확한 이해로부터 효율적인 설계방향을 제시하고자 하였으며, 추후 적층관의 좌굴해석시 좋은 참고자료로 활용할 수 있으리라 기대된다.

• Structural Engineering and Mechanics
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• 제19권6호
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• pp.749-755
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• 2005

In this work, thermo-elastic stability behavior of laminated cross-ply elliptical cylindrical shells subjected to uniform temperature rise is studied employing the finite element approach based on higher-order theory that accounts for the transverse shear and transverse normal deformations, and nonlinear in-plane displacement approximations through the thickness with slope discontinuity at the layer interfaces. The combined influence of higher-order shear deformation, shell geometry and non-circularity on the prebuckling thermal stress distribution and critical temperature parameter of laminated elliptical cylindrical shells is examined.

• Interaction and multiscale mechanics
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• 제1권1호
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• pp.143-156
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• 2008

Elliptical tubes may buckle in an elastic local buckling failure mode under uniform compression. Previous analyses of the local buckling of these members have assumed that the cross-section is hollow, but it is well-known that the local buckling capacity of thin-walled closed sections may be increased by filling them with a rigid medium such as concrete. In many applications, the medium many not necessarily be rigid, and the infill can be considered to be an elastic material which interacts with the buckling of the elliptical tube that surrounds it. This paper uses an energy-based technique to model the buckling of a thin-walled elliptical tube containing an elastic infill, which elucidates the physics of the buckling phenomenon from an engineering mechanics basis, in deference to a less generic finite element approach to the buckling problem. It makes use of the observation that the local buckling in an elliptical tube is localised with respect to the contour of the ellipse in its cross-section, with the localisation being at the region of lowest curvature. The formulation in the paper is algebraic and it leads to solutions that can be determined by implementing simple numerical solution techniques. A further extension of this formulation to a stiffness approach with multiple degrees of buckling freedom is described, and it is shown that using the simple one degree of freedom representation is sufficiently accurate for determining the elastic local buckling coefficient.

• 한국정보통신학회논문지
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• 제4권4호
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• pp.901-905
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• 2000

본 연구는 미사일 헤드와 같은 돔형의 실린더형 ogive (Cylindrical Ogive)를 타원형 ogive(Elliptical Ogive)로 대치하여 지상의 레이다로부터 미사일의 탐지확률을 줄이는 연구이다. 미사일의 RCS(Radar Cross Section)를 계산하기 위해 GTD(Geometrical Theory of Diffraction)/UTD(Uniform GTD)를 사용하였다. 향후, 형상변경에 따른 미사일 헤드의 공기역학(aerodynamics)적인 타당성 검토가 이루어져야 한다.

• Steel and Composite Structures
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• 제43권6호
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• pp.759-772
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• 2022

Concrete-filled double skinned steel tubular (CFDST) columns have been used to construct modern structures such as tall buildings and bridges as well as infrastructures as they provide better, lesser weight, and greater stiffness in structural performance than conventional reinforced concrete or steel members. Different shapes of CFDST columns may be needed to satisfy the architectural and aesthetic criteria. In the study, three-dimensional FE simulations of circular and elliptical CFDST columns under axial compression were developed and verified through the experimental test data from the perspectives of full load-displacement histories, ultimate axial strengths, and failure modes. The verified FE models were used to investigate and compare the structural performance of CFDST columns with circular and elliptical cross-section shapes by evaluating the overall load-deformation curves, interaction stress-deformation responses, and composite actions of the column. At last, the accuracy of available design models in predicting the ultimate axial strengths of CFST columns were investigated. Research results showed that circular and elliptical CFDST column behaviors were generally similar. The overall structural performance of circular CFDST columns was relatively improved compared to the elliptical CFDST column.

• 지구물리와물리탐사
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• 제26권1호
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• pp.1-7
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• 2023

이 논문에서는 타원 기둥에 대한 벡터 중력과 중력 변화율 텐서 반응식을 유도하였다. 임의의 3차원 이상체에 대한 벡터 중력은 이상체의 모양에 따른 3중 적분이 포함된 인력 포텐셜을 각 축 방향으로 미분하여 구한다. 축 대칭성을 가진 이상체에 의한 벡터 중력은 먼저 축방향으로 적분하여 2중 적분 형태로 축약한다. 켤레 복소수를 도입한 복소 그린 정리를 이용하면 2중 적분은 1차원 폐곡선 선적분 형태로 변환된다. 최종적으로 타원 기둥에 의한 벡터 중력은 타원 기둥 단면의 경계를 폐곡선의 매개변수로 설정하여 1차원 수치적분으로 유도된다. 같은 방식으로 타원 기둥에 의한 중력 변화율 텐서는 인력 퍼텐셜을 2차 미분하여 3중 적분으로 표현된 중력 변화율 텐서를 구한 후, 수직 축 방향으로 적분하여 2중 적분으로 축약한다. 벡터 중력에서 적용한 방법과 동일한 복소 평면에서의 그린 정리를 도입하여 타원 기둥에 의한 중력 변화율 텐서 반응식의 모든 성분을 유도한다.

• Wind and Structures
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• 제30권5호
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• pp.525-532
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• 2020

This work numerically investigates the effects of Reynolds number Re_D (= 100 - 150), cross-sectional aspect ratio AR = ( 0.25 -1.0), and attack angle α (= 0° - 90°) on the forces, Strouhal number, and wake of an elliptical cylinder, where Re_D is based on the freestream velocity and cylinder cross-section height normal to the freestream flow, AR is the ratio of the minor axis to the major axis of the elliptical cylinder, and α is the angle between the cylinder major axis and the incoming flow. At Re_D = 100, two distinct wake structures are identified, namely 'Steady wake' (pattern I) and 'Karman wake followed by a steady wake (pattern II)' when AR and α are varied in the ranges specified. When Re_D is increased to 150, an additional wake pattern, 'Karman wake followed by secondary wake (pattern III)' materializes. Pattern I is characterized by two steady bubbles forming behind the cylinder. Pattern II features Karman vortex street immediately behind the cylinder, with the vortex street transmuting to two steady shear layers downstream. Inflection angle α_i = 32°, 37.5° and 45° are identified for AR = 0.25, 0.5 and 0.75, respectively, where the wake asymmetry is the greatest. The α_i effectively distinguishes the dependence on α and AR of force and vortex shedding frequency at either Re_D. In Pattern III, the Karman street forming behind the cylinder is modified to a secondary vortex street. At a given AR and α, Re_D = 150 renders higher fluctuating lift and Strouhal number than Re_D = 100.