• Title/Summary/Keyword: Torsional Moment

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비대칭(非對稱) 박벽(薄壁)보 요소(要素)를 이용(利用)한 원형(圓形) 아치의 횡좌굴(橫挫屈) 해석(解析) (Lateral-Torsional Buckling Analysis of the Circular Arches Using Unsymmetric Thin-Walled Beam Elements)

  • 김문영
    • 대한토목학회논문집
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    • 제13권5호
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    • pp.39-52
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    • 1993
  • 비대칭단면(非對稱斷面)을 갖는 박벽공간(薄壁空間)뼈대와 원형(圓形)아아치의 휨-비틂 좌굴해석(挫屈解析)을 수행하기 위하여, 가상(假想)일의 원리(原理)를 이용한 공간(空間)뼈대요소(要素)의 접선강도(接線剛度)매트릭스가 유도(誘導)된다. 양단(兩端) 구속(狗束)된 비틂을 무시(無視)하는 경우와 구속(狗束)된 비틂을 고려(考慮)하는 경우 각각에 대하여 semitangential rotation and moment에 대응(對應)하는 박벽공간(薄壁空間) 뼈대요소(要素)의 탄성(彈性) 및 기하적(幾何的)인 강도(剛度)매트릭스를 산정한다. 이 때, 휨을 받는 평면(平面)보의 처짐함수를 공간(空間) 뼈대요소(要素)의 축방향(軸方向) 및 횡방향(橫方向) 처짐과 비틂회전각에 대한 형상함수(形狀函數)로 사용한다. 순수휨과 균일한 압축력을 받는 도형(圖形)아아치의 횡좌굴문제(橫挫屈問題)를 해석(解析)하여 본(本) 연구(硏究)에 의한 해석결과(解析結果)과 문헌(文獻)의 엄밀해(嚴密解)에 의한 결과들을 비교(比較), 분석(分析)하여 본(本) 연구(硏究)에서 제시한 이론(理論)의 정당성(正當性)을 입증(立證)한다.

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고종횡비 비대칭 구조물의 발파붕괴 거동에 관한 연구 (An Experimental Study on Blasting Collapse Behavior of Asymmetry Structure with High Aspect Ratio)

  • 송영석;정민수;정동월;허원호
    • 화약ㆍ발파
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    • 제31권1호
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    • pp.1-10
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    • 2013
  • 발파해체 공법은 구조물 형상과 주변현황에 따라 다양한 공법을 적용할 수 있으나, 고종횡비를 가지는 비대칭 구조물을 발파해체 하기 위해서는 사전취약화와 발파지점 및 시차와 주변현황에 따른 발파조건을 고려하여 설계하여야 한다. 본 연구에서는 고종횡비 비대칭 구조물을 안전하게 전도시키기 위해 ELS 소프트웨어를 사용하여 사전취약화 위치와 형상에 따른 모멘트 발생지점을 분석하여 킥백(kick back)을 제어할 수 있는 사전취약화 위치 및 형상에 대한 시뮬레이션을 수행하였으며, 비대칭 구조물의 붕괴 시 전도방향의 좌우로 발생하는 비틀림 모멘트(torsional moment)를 최소화하기 위해 붕괴방향을 제어 할 수 있는 발파 시차 및 위치를 선정하였다. 또한 시뮬레이션상의 사전 취약 및 발파시차를 실 구조물의 전도 붕괴에 적용하여 붕괴 거동에 대한 모션분석을 하였다. 그 결과 시뮬레이션의 붕괴거동에 대한 신뢰성을 확인하였으며, 발파해체 시 사전취약화의 형상 및 위치에 따라 킥백을 제어할 수 있으며, 발파 위치와 시차에 따라 비틀림 모멘트를 제어 할 수 있다는 것을 알 수 있었다.

고층 RC 벽식 비정정 구조물의 지진거동에 관한 실험적 연구 (Experimental Study on the Seismic Response of High-Rise RC Bearing-Wall Structures with Irregularity)

  • 이한선;고동우
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2003년도 춘계 학술발표회논문집
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    • pp.321-328
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    • 2003
  • The objective of this study is to investigate the seismic response of high-rise RC bearing-wall structures with irregularity. For this purpose, three 1:12 scale 17-story reinforced concrete model structures were constructed according to the similitude law, in which the upper 15 stories have a bearing-wall system while the lower 2-story frames have three different layouts of the plan : The first one is a moment-resisting frame system, the second has a infilled shear wall with symmetric plan and the third has a infilled shear wall with eccentricity, Then, these models were subjected to a series of earthquake excitations. The test results show the followings: 1) the existence of shear wall reduced greatly shear deformation at the piloti frame, but has almost the negligible effect on the reduction of the overturning-moment angle, 2) the frame with shear wall resists most of overturning moment in severe earthquake, 3) the torsional behavior is almost independent of the translational, 4) the absorbed energy due to the overturning deformation has the largest portion in the total absorbed energy.

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균일모멘트가 작용하는 일축대칭 I형 양단 스텝보의 비탄성 횡-비틀림 좌굴에 관한 해석적 연구 (A Numerical Study on Inelastic lateral Torsional Buckling Strength of Doubly Stepped and Singly Symmetric I-Beam Subjected to Uniform Moment)

  • 박이슬;박종섭
    • 한국산학기술학회논문지
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    • 제14권7호
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    • pp.3495-3501
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    • 2013
  • 연속경간을 가지는 I형강 교량은 내부 지점 부근에 상대적으로 큰 부모멘트가 발생하게 된다. 따라서 경제적인 단면 활용을 위하여 내부지점부위의 상부 및 하부 플랜지에 플레이트를 보강한 변단면을 사용하고 있다. 본 논문에서는 기존 탄성 횡-비틀림 좌굴식에 관한 연구를 토대로 하여 비탄성 구간에 있는 일축대칭 I형 양단 스텝보의 횡-비틀림 좌굴강도 해석을 실시하였다. 유한요소해석 프로그램인 ABAQUS가 사용되었으며, 회귀분석프로그램을 활용하여 간편 설계식을 제안하였다. 양단 스텝보에 순수휨이 작용할 때를 고려하였으며, 비선형 해석을 위해 잔류응력 및 초기변형을 고려하였다. 본 연구를 통하여 개발 제안된 식은 일축대칭 스텝보의 비탄성 횡-비틀림 좌굴 강도에 널리 사용될 수 있으며 유사연구에 크게 기여할 것이다.

A new analytical approach for determination of flexural, axial and torsional natural frequencies of beams

  • Mohammadnejad, Mehrdad
    • Structural Engineering and Mechanics
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    • 제55권3호
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    • pp.655-674
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    • 2015
  • In this paper, a new and simplified method is presented in which the natural frequencies of the uniform and non-uniform beams are calculated through simple mathematical relationships. The various vibration problems such as: Rayleigh beam under variable axial force, axial vibration of a bar with and without end discrete spring, torsional vibration of a bar with an attached mass moment of inertia, flexural vibration of the beam with laterally distributed elastic springs and also flexural vibration of the beam with effects of viscose damping are investigated. The governing differential equations are first obtained and then; according to a harmonic vibration, are converted into single variable equations in terms of location. Through repetitive integrations, the governing equations are converted into weak form integral equations. The mode shape functions of the vibration are approximated using a power series. Substitution of the power series into the integral equations results in a system of linear algebraic equations. The natural frequencies are determined by calculation of a non-trivial solution for system of equations. The efficiency and convergence rate of the current approach are investigated through comparison of the numerical results obtained with those obtained from other published references and results of available finite element software.

Hysteresis modelling of reinforced concrete columns under pure cyclic torsional loading

  • Mondal, Tarutal Ghosh;Kothamuthyala, Sriharsha R.;Prakash, S. Suriya
    • Structural Engineering and Mechanics
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    • 제64권1호
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    • pp.11-21
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    • 2017
  • It has been observed in the past that, the reinforced concrete (RC) bridge columns are very often subjected to torsional moment in addition to flexure and shear during seismic vibration. Ignoring torsion in the design can trigger unexpected shear failure of the columns (Farhey et al. 1993). Performance based seismic design is a popular design philosophy which calls for accurate prediction of the hysteresis behavior of structural elements to ensure safe and economical design under earthquake loading. However, very few investigations in the past focused on the development of analytical models to accurately predict the response of RC members under cyclic torsion. Previously developed hysteresis models are not readily applicable for torsional loading owing to significant pinching and stiffness degradation associated with torsion (Wang et al. 2014). The present study proposes an improved polygonal hysteresis model which can accurately predict the hysteretic behavior of RC circular and square columns under torsion. The primary curve is obtained from mechanics based softened truss model for torsion. The proposed model is validated with test data of two circular and two square columns. A good correlation is observed between the predicted and measured torque-twist behavior and dissipated energy.

Lateral-torsional buckling of prismatic and tapered thin-walled open beams: assessing the influence of pre-buckling deflections

  • Andrade, A.;Camotim, D.
    • Steel and Composite Structures
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    • 제4권4호
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    • pp.281-301
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    • 2004
  • The paper begins by presenting a unified variational approach to the lateral-torsional buckling (LTB) analysis of doubly symmetric prismatic and tapered thin-walled beams with open cross-sections, which accounts for the influence of the pre-buckling deflections. This approach (i) extends the kinematical assumptions usually adopted for prismatic beams, (ii) consistently uses shell membrane theory in general coordinates and (iii) adopts Trefftz's criterion to perform the bifurcation analysis. The proposed formulation is then applied to investigate the influence of the pre-buckling deflections on the LTB behaviour of prismatic and web-tapered I-section simply supported beams and cantilevers. After establishing an interesting analytical result, valid for prismatic members with shear centre loading, several elastic critical moments/loads are presented, discussed and, when possible, also compared with values reported in the literature. These numerical results, which are obtained by means of the Rayleigh-Ritz method, (i) highlight the qualitative differences existing between the LTB behaviours of simply supported beams and cantilevers and (ii) illustrate how the influence of the pre-buckling deflections on LTB is affected by a number of factors, namely ($ii_1$) the minor-to-major inertia ratio, ($ii_2$) the beam length, ($ii_3$) the location of the load point of application and ($ii_4$) the bending moment diagram shape.

부재간 결합부의 동적 특성 분석 및 강성 예측 (Analysis of the Dynamical Characteristics and Prediction of Stiffness for the Joint between Members)

  • 윤성호
    • 한국기계가공학회지
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    • 제18권2호
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    • pp.58-64
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    • 2019
  • This paper describes the analysis of dynamic characteristics and prediction of the stiffness for the joint between structural members. In the process of deriving the governing equations, the stiffness values responsible for the moment and shear force were modelled by using linear and torsional springs in the middle of a clamped-clamped beam. The sensitivities of the natural frequency and modal assurance criterion were investigated as a function of the dimensionless linear and torsional spring stiffness. The reliability of the predictions for the linear and torsional stiffness values was verified by the inverse computations of the stiffness matrix. The predictive and exact theoretical stiffness values were compared for the stiffness element in the finite element formulation, and their results show an excellent correlation. It is strongly anticipated that although the proposed methodology is currently limited to the analytical utilization, it will provide a useful tool to estimate unknown joint stiffness values based on the experimental natural frequency and mode shape.

순수 비틀림 응력의 광학적 측정법에 대한 연구 (A Study on the Optical Measurement of Torstional Stresses)

  • 최선호
    • 대한기계학회논문집
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    • 제1권2호
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    • pp.73-81
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    • 1977
  • It is well known fact that there is a theoretical analogous relation ship in terms of differential equation between the stress distribution of a bar under pure torsional moment and the deflection of a membrane subjected to a uniform pressure. This relationship has been applied to the experimental determination of torsional stresses with troublesome and elaborative measuring procedure since Griffith's invention of the soap-film apparatus. In this paper, the soap-film was replaced by a highly polished steel plate and whole visualable deflectional contour-line-map was able to obtain by using Michelson Interferometer with Ne-He Gas Laser lignt source enabling to determine the stress distribution in the vicnity of the symmetrical inner-boundary in a section. Experimental results were satisfactory and the margin of error in the measurement was lower than 1%.

연성진동하는 L형 단면 보의 크랙 검출 방법에 대한 연구 (Study on Method of Crack Detection of L-beams with Coupled Vibration)

  • 손인수;조정래;안성진
    • 한국기계가공학회지
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    • 제9권6호
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    • pp.78-86
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    • 2010
  • This paper aims to investigate the natural frequency of a cracked cantilever L-beams with a coupled bending and torsional vibrations. In addition, a theoretical method for detection of the crack position and size in a cantilever L-beams is presented based on natural frequencies. Based on the Euler-Bernoulli beam theory, the equation of motion is derived by using extended Hamilton's Principle. The dynamic transfer matrix method is used for calculation of a exact natural frequencies of L-beams. In order to detect the crack of L-beams, the effect of spring coefficients for bending moment and torsional force is included. In this study, the differences between the actual data and predicted positions and sizes of crack are less than 0.5% and 6.7% respectively.