• Title/Summary/Keyword: Slenderness angle

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A Study on the Estimation of Elasto-Plastic Buckling Loads for Sing1e Layer Latticed Domes by Unit Member Modeling Technique. (단위부재 모델화에 따른 단층 래티스 돔의 탄소성 좌골하중의 산정에 관한 연구)

  • 한상을;이상주;유용주;이경수
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.10a
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    • pp.290-297
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    • 1998
  • In this paper, we propose to a method to estimate the elasto-plastic buckling for single layer latticed domes. First, we assume that each member consists of the rigid zone and elastic spring at both end joint, the elastic element and three elasto-plastic spring to judge for yeilding the member. Next, the member which has most influence on buckling for structures is determined by a distributed pattern of the strain energy which is calculated through linear eigenvalue analysis. And then, normalized slenderness ratio of the element is derived considering the axial force at elastic buckling load. Later, we execute elasto-plastic nonlinear analysis that based on loading increasement method and displacement increasement method. From this results, we discusses the effect of the joint rigidity and the half open angle $\theta$$_{0}$ on the buckling strength of single layer lattice domes ; (1) how the joint rigidity contributes to the reduction of buckling loads, (2) how the reduction can be interrelated to compressive strength curves in terms of the generalized slenderness for the member most relevant to the overall buckling of domes.s.

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Evaluation of seismic criteria of built-up special concentrically braced frames

  • Izadi, Amin;Aghakouchak, Ali A.
    • Steel and Composite Structures
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    • v.29 no.1
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    • pp.23-37
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    • 2018
  • In this paper, seismic provisions related to built-up special concentrically braced frames (BSCBFs) are investigated under cyclic loading using non-linear finite element analysis of a single-bay single-story frame. These braces, which contain double angle and double channel brace sections, are considered in two types of single diagonal and X-braced frames. The results of this study show that current seismic provisions such as observing the 0.4 ratio for slenderness ratio of individual elements between stitch connectors are conservative in BSCBFs, and can be increased according to the type of braces. Furthermore, such increments will lead to decreasing or remaining the current middle protected zone requirements of each BSCBFs. Failure results of BSCBFs, which are related to the plastic equivalent strain growth of members and ductility capacity of the models, show that the behaviors of double channel back-to-back diagonal braces are more desirable than those of similar face-to-face ones. Also, for double angle diagonal braces, results show that the failure of back-to-back BSCBFs occurs faster in comparison with face-to-face similar braces. In X-braced frames, cyclic and failure behaviors of built-up face-to-face models are more desirable than similar back-to-back braces in general.

Vibration Analysis of Pre-twisted Blades with Functionally Graded Material Properties Based on Timoshenko Beam Theory (티모센코 보 이론에 따른 초기 비틀림각을 갖는 경사기능재 블레이드의 진동 해석)

  • Yoo, Hong Hee;Oh, Yutaek
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2014.10a
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    • pp.285-287
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    • 2014
  • Equations of motion for the vibration analysis of rotating pre-twisted beams with functionally graded material properties are derived in this paper. Based on Timoshenko beam theory, the effects of shear and rotary inertia are considered. The pre-twisted beam has a rectangular cross-section and is mounted on a rotating rigid hub with a setting angle. Functionally graded material (FGM) properties are considered along the height direction of the beam. The equations of stretching and bending motion are derived by Kane's method employing hybrid deformation variables. To validate the derived equations, natural frequencies of a rotating FGM pre-twisted beam are compared to those obtained by a commercial software ANSYS. The effects of the pre-twisted angle, slenderness ratio, hub radius, volume fraction exponent, and angular speed on the modal characteristics of the system are investigated with the proposed model.

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Experimental and numerical investigations on axial strength of back-to-back built-up cold-formed steel angle columns

  • Ananthi, G. Beulah Gnana;Roy, Krishanu;Lim, James B.P.
    • Steel and Composite Structures
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    • v.31 no.6
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    • pp.601-615
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    • 2019
  • In cold-formed steel (CFS) structures, such as trusses, wall frames and columns, the use of back-to-back built-up CFS angle sections are becoming increasingly popular. In such an arrangement, intermediate fasteners are required at discrete points along the length, preventing the angle-sections from buckling independently. Limited research is available in the literature on the axial strength of back-to-back built-up CFS angle sections. The issue is addressed herein. This paper presents the results of 16 experimental tests, conducted on back-to-back built-up CFS screw fastened angle sections under axial compression. A nonlinear finite element model is then described, which includes material non-linearity, geometric imperfections and explicit modelling of the intermediate fasteners. The finite element model was validated against the experimental test results. The validated finite element model was then used for the purpose of a parametric study comprising 66 models. The effect of fastener spacing on axial strength was investigated. Four different cross-sections and two different thicknesses were analyzed in the parametric study, varying the slenderness ratio of the built-up columns from 20 to 120. Axial strengths obtained from the experimental tests and finite element analysis were used to assess the performance of the current design guidelines as per the Direct Strength Method (DSM); obtained comparison showed that the DSM is over-conservative by 13% on average. This paper has therefore proposed improved design rules for the DSM and verified their accuracy against the finite element and test results of back-to-back built-up CFS angle sections under axial compression.

Out-of-plane buckling and bracing requirement in double-angle trusses

  • Chen, Shaofan;Su, Mingzhou
    • Steel and Composite Structures
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    • v.3 no.4
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    • pp.261-275
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    • 2003
  • Truss members built-up with double angles back-to-back have monosymmetric cross-section and twisting always accompanies flexion upon the onset of buckling about the axis of symmetry. Approximate formulae for calculating the buckling capacity are presented in this paper for routine design purpose. For a member susceptible only to flexural buckling, its optimal cross-section should consist of slender plate elements so as to get larger radius of gyration. But, occurrence of twisting changes the situation owing to the weakness of thin plates in resisting torsion. Criteria for limiting the leg slenderness are discussed herein. Truss web members in compression are usually considered as hinged at both ends for out-of-plane buckling. In case one (or both) end of member is not supported laterally by bracing member, its adjoining members have to provide an elastic support of adequate stiffness in order not to underdesign the member. The stiffness provided by either compression or tension chords in different cases is analyzed, and the effect of initial crookedness of compression chord is taken into account. Formulae are presented to compute the required stiffness of chord member and to determine the effective length factor for inadequately constrained compressive diagonals.

An Experimental Study on the Buckling Strength of subject to Asymmetrical Double Curvature Stainless Steel Circular Hollow Section Beam-Columns (비대칭 이중곡률 스테인리스 원형강관 보-기둥의 좌굴내력에 관한 실험적 연구)

  • Jang, Ho Ju;Park, Jae Seon;Yang, Young Sung
    • Journal of Korean Society of Steel Construction
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    • v.21 no.4
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    • pp.351-360
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    • 2009
  • This study is a series of experimental investigations of the buckling strengths of eccentrically compressed, cold-formed, stainless-steel, circular, hollow-section beam columns. The principal parameters that were used in this study were the slenderness ratios (Lk/r = 30, 50, 70) and the magnitude of eccentricity e(one way: 0, 25, 50, 75, and 100mm: the other way: 0, 12.5, 25, 37.5, and 50mm) on the asymmetrical end-moment of a double curvature. The objectives of the study were to obtain the maximum loads through an experiment and to compare the experimental behaviors with the analysis results. The ultimate buckling strength of the square section members were evaluated using a numerical method, in accordance with the bending moment-axial force(M-P) interaction curves. The behavior of each specimen was displayed in the form of the strength-displacement and moment-angle(M-$\theta$) relationship.

Development of Calibrating Instrument for Tool Wear using Spindle Orientation Function in End Milling (엔드밀 가공시 주축 오리엔테이션 기능을 통한 공구마멸 보정 장치의 개발)

  • Kim, Jeon-Ha;Kang, Myung-Chang;Kim, Jeong-Suk;Kim, Kwang-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.7
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    • pp.1095-1102
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    • 2003
  • The most important thing in measuring the tool wear is to set up the measurement base. The end mill that is being used for machining of die is difficult to set up the base and to measure the tool wear because of geometric properties of that such as a helix and relief angle. In this study, a new instrument using spindle orientation function in end milling is developed to measure the tool wear and evaluated by the measuring system on the machine. Finally, this new method makes possible the wear measurement of same position and reduces the measuring time compared with the measuring methods such as the microscope and CCD.

A Study on the Presumption of Geometrically Nonlinear Buckling Load of the Single Layer Layer Latticed Dome (단층 래티스 돔의 기하학적 비선형 좌굴하중 추정에 관한 연구)

  • Lee Jung-Hyun;Choi Il-Sub;Lee Sang-Ju;Han Sang-Eul
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2005.04a
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    • pp.12-19
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    • 2005
  • The single layer latticed dome is very sensitive on the slenderness ratio and half open angle of the elements, load condition and the connection type because it is organized by a lot of thin elements, so we have to use the geometrically nonlinear buckling load when the buckling behavior of the structures is analyzed But, it is very difficult to design the single layer latticed domes considered all conditions. Therefore the purpose of this paper is to propose the appropriate design method of the single layer latticed dome considered the geometrically nonlinear buckling load in base on the linear buckling load by the eigen-value analysis.

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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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Free Vibrations of Shear Deformable Circular Arches with Rotationally Flexible Supports (전단변형을 고려한 회전 가능한 지점을 갖는 원호 아치의 자유진동)

  • Oh, Sang-Jin;Yoon, Hee-Min;Park, Kwang-Kyou
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.05a
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    • pp.1181-1184
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    • 2007
  • The differential equations governing free, in-plane vibrations of linearly elastic circular arches with rotationally flexible supports, including the effects of rotatory inertia, shear deformation and axial deformation, are solved numerically using the corresponding boundary conditions. The lowest four natural frequencies and the corresponding mode shapes are obtained over a range of non-dimensional system parameters: the subtended angle, the slenderness ratio, and the rotational spring stiffness.

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