• 제목/요약/키워드: beam transformation

검색결과 207건 처리시간 0.026초

큰 가로세로비를 가지는 날개의 대변형 효과를 고려한 비선형 정적 공탄성 해석 (Nonlinear Static Aeroelastic Analysis of a High-Aspect-Ratio Wing with Large Deflection Effects)

  • 유재한;이인;임인규
    • 한국항공우주학회지
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    • 제34권3호
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    • pp.31-36
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    • 2006
  • 본 연구에서는 천음속미소교란 및 대변형 보 이론을 이용하여 대변형이 발생되는 가로세로비가 큰 날개의 비선형 정적 공탄성 해석 시스템을 개발하고 검증하였다. 유체/구조간 직접 연계를 위하여 구조 격자에서 유체 격자로의 변위의 변환은 보 유한 요소 모델에 사용된 형상 함수를 유체 격자에서 구조 격자로의 힘의 변환은 일 등가 하중의 개념을 사용하였다. 그리고 이러한 날개의 정적 공탄성 해석 시, 이론적으로 TSD 공기력 사용의 타당성을 보였다. 또한 본 연구에서의 검증은 직접 연계된 공탄성 시스템의 효율적인 힘/변위 변환 기법의 검증을 포함한다.

Probability-based structural response of steel beams and frames with uncertain semi-rigid connections

  • Domenico, Dario De;Falsone, Giovanni;Laudani, Rossella
    • Structural Engineering and Mechanics
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    • 제67권5호
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    • pp.439-455
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    • 2018
  • Within a probabilistic framework, this paper addresses the determination of the static structural response of beams and frames with partially restrained (semi-rigid) connections. The flexibility of the nodal connections is incorporated via an idealized linear-elastic behavior of the beam constraints through the use of rotational springs, which are here considered uncertain for taking into account the largely scattered results observed in experimental findings. The analysis is conducted via the Probabilistic Transformation Method, by modelling the spring stiffness terms (or equivalently, the fixity factors of the beam) as uniformly distributed random variables. The limit values of the Eurocode 3 fixity factors for steel semi-rigid connections are assumed. The exact probability density function of a few indicators of the structural response is derived and discussed in order to identify to what extent the uncertainty of the beam constraints affects the resulting beam response. Some design considerations arise which point out the paramount importance of probability-based approaches whenever a comprehensive experimental background regarding the stiffness of the beam connection is lacking, for example in steel frames with semi-rigid connections or in precast reinforced concrete framed structures. Indeed, it is demonstrated that resorting to deterministic approaches may lead to misleading (and in some cases non-conservative) outcomes from a design viewpoint.

Study on the Frame Structure Modeling of the Beam Element Formulated by Absolute Nodal Coordinate Approach

  • Takahashi Yoshitaka;Shimizu Nobuyuki;Suzuki Kohei
    • Journal of Mechanical Science and Technology
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    • 제19권spc1호
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    • pp.283-291
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    • 2005
  • Accurate seismic analyses of large deformable moving structures are still unsolved problems in the field of earthquake engineering. In order to analyze these problems, the nonlinear finite element method formulated by the absolute nodal coordinate approach is noticed. Because, this formulation has several advantages over the standard procedures on mass matrix, elastic forces and damping forces in the case of large displacement problems. But, it has not been fully studied to build frame structure models by using beam elements in the absolute nodal coordinate formulation. In this paper, we propose the connecting method of the beam elements formulated by the absolute nodal coordinate. The coordinate transformation matrix of this element is introduced into the frame structure. This beam element has the characteristic that the mass matrix and bending stiffiness matrix are constant even if in the case of large displacement problems, and this characteristic is being kept after the transformation. In order to verify the proposed method, we show the numerical simulation results of frame structures for a vibration problem and a large displacement problem.

Microstructural modeling of two-way bent shape change of composite two-layer beam comprising a shape memory alloy and elastoplastic layers

  • Belyaev, Fedor S.;Evard, Margarita E.;Volkov, Aleksandr E.;Volkova, Natalia A.;Vukolov, Egor A.
    • Smart Structures and Systems
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    • 제30권3호
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    • pp.245-253
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    • 2022
  • A two-layer beam consisting of an elastoplastic layer and a functional layer made of shape memory alloy (SMA) TiNi is considered. Constitutive relations for SMA are set by a microstructural model capable to calculate strain increment produced by arbitrary increments of stress and temperature. This model exploits the approximation of small strains. The equations to calculate the variations of the strain and the internal variables are based on the experimentally registered temperature kinetics of the martensitic transformations with an account of the crystallographic features of the transformation and the laws of equilibrium thermodynamics. Stress and phase distributions over the beam height are calculated by steps, by solving on each step the boundary-value problem for given increments of the bending moment (or curvature) and the tensile force (or relative elongation). Simplifying Bernoulli's hypotheses are applied. The temperature is considered homogeneous. The first stage of the numerical experiment is modeling of preliminary deformation of the beam by bending or stretching at a temperature corresponding to the martensitic state of the SMA layer. The second stage simulates heating and subsequent cooling across the temperature interval of the martensitic transformation. The curvature variation depends both on the total thickness of the beam and on the ratio of the layer's thicknesses.

프리캐스트 Girder-Beam 접합부에서 Girder Ledge의 전단내력에 관한 실험적 연구 (An Experimental Study on Shear Strength of Girder Ledge of Precast Girder-Beam Connection)

  • 배준우;박성무
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1996년도 가을 학술발표회 논문집
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    • pp.408-415
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    • 1996
  • This study is aimed to define the behavior of the girder ledge of precast girder-beam joint in rame type precast concrete construction method. The variable of this study is followed : 1) The change of the maximum shear strength depended on the transformation of concrete compressive strength 2) The change of the behavior of ledge depended on the transformation of shear-span ratio 3) The change of maximum shear strength and ductility by the type of reinforcement. The results of this study show the behavior of ledge is affected by shear-span ratio and the maximum shear strength is depended on the concrete compressive strength, reinforcement ratio and effective section area. In addition, through the investigation of the established study, the results of this study suggest the shear friction formula of Raths.

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EDISON Co-rotational Plane beam-Dynamic tip load를 이용한 가진주파수 변화에 따른 외팔보의 자유단 진동 연구

  • 박철우;주현식
    • EDISON SW 활용 경진대회 논문집
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    • 제4회(2015년)
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    • pp.246-250
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    • 2015
  • In this paper, Timoshenko and Euler-Bernoulli beam theories(EB-beam) are used, and Fast Fourier Transformation(FFT) analysis is then employed to extract their natural frequencies using both analytical approach and Co-rotational plane beam(CR-beam) EDISON program. EB-beam is used to analyze a spring-mass system with a single degree of freedom. Sinusoidal force with various frequencies and constant magnitude are applied to tip of each beam. After the oscillatory tip response is observed in EB-beam, it decreases and finally converges to the so-called 'steady-state.' The decreasing rate of the tip deflection with respect to time is reduced when the forcing frequency is increased. Although the tip deflection is found to be independent of the excitation frequency, it turns out that time to reach the steady state response is dependent on the forcing frequency.

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레이저 표면경화처리에서 빔의 형태가 경화층 크기에 미치는 영향에 관한 연구 (A Study on the Effect of Beam Mode on the Size of Hardened Zone in Laser Surface Hardening)

  • Kim, J.W.
    • 한국정밀공학회지
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    • 제10권4호
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    • pp.64-72
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    • 1993
  • Analytical models for the prediction of the size of hardened zone in laser surface hardening are presented. The models are based on the solutions to the problem of three-dimensional heat flow in plates with infinite thickness. The validity of the model was tested on medium carbon steel for Gaussian mode of beam. Then the model for rectagular beam was used for the predicition of the size of hardened zone on various hardening process parameters. From the calculation results it appeared that the size and shape of the hardened zone are strongly dependent on process parameters such as beam mode, beam size, and traverse speed.

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Differential Transformation에 의한 가변 2 파라미터 탄성기초에 설치된 보의 진동해석 (Vibration Analysis for Beams on Variable Two-Parameter Elastic Foundations Using Differetial Transformation)

  • 신영재;김재호;황정기
    • 한국소음진동공학회논문집
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    • 제11권8호
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    • pp.357-363
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    • 2001
  • This paper presents the application of the technique Q( differential transformation to the vibration analysis of beams resting on variable two-parameter elastic foundations. The closed form series solutions for beams are obtained for various boundary conditions. Numerical calculations are carried out and compared with previously published results. The results obtained by the present method agree very well with those reported in the previous works. The present analysis shows the usefulness and validity of differential transformation in solving nonlinear problem of the free vibration.

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NITINOL 형상기억합금의 열적/기계적 특성 평가 (Evaluation of Thermomechanical Characteristics of NITINOL Shape Memory Alloy)

  • 윤성호
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2001년도 춘계학술대회 논문집
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    • pp.683-686
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    • 2001
  • The thermomechanical characteristics of NITINOL shape memory alloy were evaluated using DSC with small samples and DMA with three-point bending specimens. The shape memory alloy of 54.4Ni/45.5Ti wt.% was used so that the austenite finish temperature was in the range of $50~100^{\circ}C$. Two types of sample were tested in the experiments corresponding to as-received and annealed conditions. Simple beam bending theory was used to calculate the dynamic moduli of the shape memory alloy. According to the results, a large discrepancy in transformation temperatures was found between DSC and DMA techniques. Annealing treatment was found to suppress the R-phase transformation during cooling and the secondary plateau in the austenite transformation. Such a heat treatment was also significantly influenced to raise the transformation temperatures and the moduli of the shape memory alloy.

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