• Title/Summary/Keyword: Curved Member

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In-Plane free Vibrations of Curved Members with Elastic Supports (탄성지지된 곡선부재의 면내 자유진동)

  • Oh, Sang-Jin;Kang, Hee-Jong;Park, Kwang-Kyou
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.11a
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    • pp.815-818
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    • 2006
  • This paper deals with the free, in-plane vibrations of curved members with the translational(radial and tangential directions) and rotational springs at the ends. The governing differential equations for the circular curved member are solved numerically using the corresponding boundary conditions. The lowest three natural frequencies and the corresponding mode shapes are obtained over a range of non-dimensional system parameters: the subtended angle, the slenderness ratio, the translational spring stiffness, and the rotational spring stiffness.

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The Characteristics of Natural Frequencies of the Curved Bridge with Singly Symmetric Cross Sections (1축 대칭단면을 갖는 곡선교의 고유진동수특성)

  • Yhim, Sung Soon
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.6
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    • pp.1281-1288
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    • 1994
  • Beams curved in plan are often designed with the circular curved member system including warping effects. In this study, the curved bridges are idealized as the circular curved member system with singly symmetric cross sections and simply supported ends. Displacement fields of them to satisfy the boundary conditions are expanded by Fourier series and the governing equation of natural frequencies of them is derived. The distributions of the characteristics of natural frequencies of them are shown according to the variations of relevant parameters-angle of intersection, curvature, and parameter of symmetry of cross section which can represent the properties of the curved bridges. A parametric study is conducted to investigate the effect of relevant parameters on natural frequencies.

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Strength and Lateral Torsional Behavior of Horizontally Curved Steel I-Girders Subjected to Equal End Moments (양단 균일 모멘트를 받는 수평곡선 I형 강재 거더의 횡-비틀림 거동 및 강도 산정 방안)

  • Lee, Keesei;Lee, Manseop;Choi, Junho;Kang, Youngjong
    • Journal of Korean Society of Steel Construction
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    • v.30 no.1
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    • pp.1-12
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    • 2018
  • A curved member should resist bending and torsional moments simultaneously even though the primary load is usually supposed to be gravitational load. The torsional moment causes complicate stress state and also can result in early yielding of material to reduce member strength. According to analysis results, the strength of a curved member that has 45 degrees of subtended angle could decrease more than 50% compare to straight girder. Nevertheless, there have been very few of researches related with ultimate strength of curved girders. In this study, various kinds of stiffness about bending, pure torsion and warping were considered with a number of models in order to verify the main factor that affects ultimate behavior of curved girder. Lateral and rotational displacement of curved member were introduced as lateral-torsional-vertical behavior and bending-torsional moment interaction curve was derived. Finally, a strength equation for ultimate moment of horizontally curved steel I-girders subjected to equal end moments based on the interaction curves. The equation could take account of the effect of curvature, unbraced length and sectional properties.

Vibration Characteristics of Curved Members Resting on Elastic Foundations (탄성지반 위에 놓인 곡선부재의 진동 특성)

  • 오상진;박광규
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.05a
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    • pp.788-793
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    • 2004
  • The main purpose of this paper is to Investigate the free vibrations of circular curved members resting on nonhomogeneous elastic foundations. The governing differential equations derived in a previous paper are used. The governing equations are solved numerically to obtain frequencies. Hinged-hinged end constraint is considered in numerical examples. The lowest three natural frequencies are calculated over a wide range of non-dimensional system parameters: the foundation rested ratio, the foundation parameter, the horizontal rise to span length ratio, the slenderness ratio, and the width ratio of the contact area between the member and the foundation.

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Free Vibrations of Curved Beams on Non-homogeneous Elastic Foundation (비균질 탄성지반 위에 놓인 곡선보의 자유진동)

  • 이병구;이태은
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.11b
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    • pp.989-993
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    • 2001
  • This paper deals with the free vibrations of horizontally curved beams supported by non-homogeneous elastic foundation. Taking into account the effects of rotatory inertia and shear deformation, differential equations governing the free vibrations of such beams are derived, in which the linear elastic foundation is considered as the non-homogeneous foundation. Differential equations are solved numerically to calculate natural frequencies. In numerical examples, the parabolic curved member is considered. The parametric studies are conducted and the lowest four frequency parameters are reported in tables and figures as the non-dimensional forms.

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Exact Elastic Element Stiffness Matrix of Thin-Walled Curved Beam (박벽 곡선보의 엄밀한 탄성요소강도행렬)

  • 김남일;윤희택;이병주;김문영
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.04a
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    • pp.385-392
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    • 2002
  • Derivation procedures of exact elastic element stiffness matrix of thin-walled curved beams are rigorously presented for the static analysis. An exact elastic element stiffness matrix is established from governing equations for a uniform curved beam element with nonsymmetric thin-walled cross section. First 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, the displacement functions of displacement parameters are exactly derived and finally exact stiffness matrices are determined using member force-displacement relationships. The displacement and normal stress of the section are evaluated and compared with thin-walled straight and curved beam element or results of the analysis using shell elements for the thin-walled curved beam structure in order to demonstrate the validity of this study.

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An Experimental Study on the Behavior of Curved Panel Parts Using Composite Materials (복합소재를 활용한 곡면 패널의 부재단위 성능 평가)

  • Park, Hee Beom;Park, Jong-Sup;Kang, Jae-Yoon;Jung, Woo-Tai
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.7
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    • pp.474-480
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    • 2018
  • FRP is a new material that is lightweight, has high strength and high durability, and is emerging as a third construction material in many countries. The composite material panel targeted in this study was a curved member and is the most frequently used arch-shaped member of a structures, such as tunnels. Composite curved panels can be produced in high quality and large quantities through automation operations. On the other hand, the frequency of application is low, and the design criteria and experimental data are lacking. Therefore, this study examined the mechanical performance of the member unit first to verify its performance as structural members of the FRP curved panel. For this purpose, tensile, compression, and connection performance tests were carried out. The tensile tests showed greater tensile strength of specimens with larger curvature, and the compression tests showed that the composite section of a composite material has greater compressive strength than the concrete section. Finally, the test of the performance of the connection showed that the attachment performance of the connection was more than equal to that of the FRP composite material panel.

Development of Optimization System in Shell Landing (Shell Landing 최적화 시스템 개발)

  • Lim, Hyung-Kyun;Kim, Jae-Chul;Lee, Ji-Hyun;Shin, Jun-Sik
    • Special Issue of the Society of Naval Architects of Korea
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    • 2011.09a
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    • pp.90-94
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    • 2011
  • Longitudinal shell member that arranged block unit on 3D-curved surface is performed manual working by designer considering spacing of division characteristic, location and twisting at geometrical 3-dimensional form. Shell expansion drawing that drawn by initial design and shell landing work performed by hull production design have overlap of design work in terms of arrangement of shell longitudinal member. In this study, eliminate design overlap on shell member arrangement that is one of ship longitudinal member. Develop shell member optimization and auto arrangement system.

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Application of Numerical Differentiation Using Differential Quadrature (DQ) to Curved Member-like Structural Analysis (곡선부재의 구조해석에서 미분구적(DQ)을 이용한 수치미분의 적용)

  • Lee, Byoung-Koo;Oh, Sang-Jin;Lee, Tae-Eun
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.17 no.2 s.119
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    • pp.185-193
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    • 2007
  • This paper deals with the application of the numerical differentiation using the differential quadrature(DQ) in the curved member-like structural analysis. Derivative values of the geometry of structure are definitely needed for analyzing the structural behavior. For verifying the numerical differentiation using DQ, free vibration problems of arch are selected. Terms of curvature composed with the derivatives of arch geometry obtained herein are agreed quite well with exact values obtained explicitly. Natural frequencies subjected to terms of curvature obtained by DQ are agreed quite well with those in the literature. The numerical differentiation using DQ can be practically utilized in the structural analysis.

BIM Based Extension of Curved Member Prototypes in Korean Traditional Buildings (BIM에 기반한 한국전통건축 원형의 곡형부재 응용)

  • Park, Soo-Hoon
    • Korean Journal of Computational Design and Engineering
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    • v.17 no.6
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    • pp.426-435
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    • 2012
  • This paper starts with an approach to Korean traditional building design using BIM tool as a design methodology where Korean traditional buildings show some difference rather as weaknesses in handling curves and curved members and the construction. BIM design tools, that are adequate in treating modern architectural design vocabularies, show some disadvantages not having necessary elements and components as building libraries. In this paper we build our own libraries adequate to the proper assembling way of Korean traditional buildings. In contrast to the diverse use of straight building members, Korean traditional buildings show rare use of curves and/or curved members in their assemblage. Moreover, in the case of a circular plan, mostly a circle is interpreted in terms of polygons such as square, hexagon or octagon. In this paper, we examine Gwanram-Jung in Changduk Palace, which is probably the only example in Korea showing a use of curves and/or curved members in assemblage. We try to interpret the case as an incomplete prototype and apply in a modern way to complete a circular plan in terms of circular arcade.