• Title/Summary/Keyword: BEAM

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Wave propagation of a functionally graded beam in thermal environments

  • Akbas, Seref Doguscan
    • Steel and Composite Structures
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    • v.19 no.6
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    • pp.1421-1447
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    • 2015
  • In this paper, the effect of material-temperature dependent on the wave propagation of a cantilever beam composed of functionally graded material (FGM) under the effect of an impact force is investigated. The beam is excited by a transverse triangular force impulse modulated by a harmonic motion. Material properties of the beam are temperature-dependent and change in the thickness direction. The Kelvin-Voigt model for the material of the beam is used. The considered problem is investigated within the Euler-Bernoulli beam theory by using energy based finite element method. The system of equations of motion is derived by using Lagrange's equations. The obtained system of linear differential equations is reduced to a linear algebraic equation system and solved in the time domain and frequency domain by using Newmark average acceleration method. In order to establish the accuracy of the present formulation and results, the comparison study is performed with the published results available in the literature. Good agreement is observed. In the study, the effects of material distributions and temperature rising on the wave propagation of the FGM beam are investigated in detail.

A curvature method for beam-column with different materials and arbitrary cross-section shapes

  • Song, Xiaobin
    • Structural Engineering and Mechanics
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    • v.43 no.2
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    • pp.147-161
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    • 2012
  • This paper presents a curvature method for analysis of beam-columns with different materials and arbitrary cross-section shapes and subjected to combined biaxial moments and axial load. Both material and geometric nonlinearities (the p-delta effect in this case) were incorporated. The proposed method considers biaxial curvatures and uniform normal strains of discrete cross-sections of beam-columns as basic unknowns, and seeks for a solution of the column deflection curve that satisfies force equilibrium conditions. A piecewise representation of the beam-column deflection curve is constructed based on the curvatures and angles of rotation of the segmented cross-sections. The resulting bending moments were evaluated based on the deformed column shape and the axial load. The moment curvature relationship and the beam-column deflection calculation are presented in matrix form and the Newton-Raphson method is employed to ensure fast and stable convergence. Comparison with results of analytic solutions and eccentric compression tests of wood beam-columns implies that this method is reliable and effective for beam-columns subjected to eccentric compression load, lateral bracings and complex boundary conditions.

Dynamic stiffness matrix of an axially loaded slenderdouble-beam element

  • Jun, Li;Hongxing, Hua;Xiaobin, Li
    • Structural Engineering and Mechanics
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    • v.35 no.6
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    • pp.717-733
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    • 2010
  • The dynamic stiffness matrix is formulated for an axially loaded slender double-beam element in which both beams are homogeneous, prismatic and of the same length by directly solving the governing differential equations of motion of the double-beam element. The Bernoulli-Euler beam theory is used to define the dynamic behaviors of the beams and the effects of the mass of springs and axial force are taken into account in the formulation. The dynamic stiffness method is used for calculation of the exact natural frequencies and mode shapes of the double-beam systems. Numerical results are given for a particular example of axially loaded double-beam system under a variety of boundary conditions, and the exact numerical solutions are shown for the natural frequencies and normal mode shapes. The effects of the axial force and boundary conditions are extensively discussed.

Free Vibration of Compressed Laminated Composite Beam-Columns with Multiple Delaminations (압축하중을 받는 다층간분리 적층 복합 보-기둥의 자유진동)

  • 이성희;박대효;백재욱;한병기
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.10a
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    • pp.501-508
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    • 2001
  • Free vibration analysis of multi-delaminated composite beam-columns subjected to axial compression load is performed in the present study. In order to investigate the effects of multi-delaminations on the natural frequency and elastic buckling load of multi-delaminated beam-columns, the general kinematic continuity conditions are derived from the assumption of constant slope and curvature at the multi-delamination tip. Characteristic equation of multi-delaminated beam-column is obtained by dividing the global multi-delaminated beam-columns into segments and by imposing recurrence relation from the continuity conditions on each sub-beam-column. The natural frequency and elastic buckling load of multi-delaminated beam-columns according to the incremental load of axial compression, which is limited to the maximum elastic buckling load of sound laminated beam-column, are obtained. It is found that the sizes, locations and numbers of multi-delaminations have significant effect on natural frequency and elastic buckling load, especially the latter ones.

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Influence of Two Moving Masses on Dynamic Behavior of a Simple Beam (두 이동질량이 단순보의 동특성에 미치는 영향)

  • Yoon, H.I.;Choi, C.S.;Im, S.H.
    • Journal of Power System Engineering
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    • v.4 no.4
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    • pp.70-77
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    • 2000
  • On the dynamic behavior of a simple beam the influences of the velocities and distance of two moving masses have been studied by numerical method. The instant amplitude of a simple beam is calculated and analyzed for each position of the moving masses represented by the time functions. As increasing the velocties of two moving masses on the simple beam, the amplitude of the transverse vibration of the simple beam is decreased and the frequency of the transverse vibration of the simple beam is increased. As the distance between two moving masses increase, the transverse displacement of the simple beam is decrease. The simple beam is very stable in second mode at $\bar{a}=0.5$ and in third mode at $\bar{a}=0.3$.

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A Stuty on Development of Spitted beam Type On-line Silica Analyzing sysyem (Splitted Beam Type On-line 실리카 분석기 개발에 관한 연구)

  • Jeong, Gyeong-Yeol;Lee, Hu-Rak
    • 연구논문집
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    • s.30
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    • pp.43-56
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    • 2000
  • N-IR spectroscopy technology is very useful. And, the technology has wide application range. In the range, we know that single beam type silica analyzer has some handicap. So we were studied Splitted beam type silica analyzer. This dissertation have been discuss about system structure, system fundamentals and performance test. At the test, we were study in the spectral interference of NH3. We know that existing system had some problem. It is structural frailties of single beam type. Therefore we were study for Splitted beam type structure. And we obtain a good result. We have $\pm$5% accuracy and 0.5 ppb level measuring range. But, we have a question. It is ppt level measuring technology by the laser beam spectroscopy.

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Spectral Element Analysis of a PCLD beam (수동적층보의 스펙트럴요소 해석)

  • You, Sung-Jun;Lee, U-Sik
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2007.04a
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    • pp.619-624
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    • 2007
  • Spectral element method (SEM) is introduced for the fully coupled structural dynamic problems, In this paper, the beam with passive constrained layered damping (PCLD) treatments is considered as a representative problems. The beam consists of a viscoelastic layer that is sandwiched between the base beam structure and an elastic layer, The fully coupled equations of motion for a PCLD beam are derived, The equations of motion are derived first by using Hamilton's principle, From this equations of motion, the spectral element is formulated for the vibration analysis by use of the SEM, As an illustrative example, a cantilevered beam is considered. It is shown that, as the thickness of VEM layer vanishes, the results become a simple layer beam's that.

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Stability Analysis of Cracked Cantilever Beam With Tip Mass and Follower Force (끝단질량과 종동력을 가진 크랙 외팔 보의 안정성 해석)

  • Yoon, Han-Ik;Son, In-Soo;Ahn, Tae-Su
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2007.04a
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    • pp.99-104
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    • 2007
  • In this paper a dynamic behavior(natural frequency) of a cracked cantilever beam with tip mass and follower force is presented. In addition. an analysis of the flutter and buckling instability of a cracked cantilever beam subjected to a follower compressive load is presented. Based on the Euler-Bernouli beam theory, the equation of motion can be constructed by using the Lagrange's equation. The vibration analysis on such cracked beam is conducted to identify the critical follower force for flutter ins stability based on the variation of the first two resonant frequencies of the beam. Besides. the effect of the crack's intensity and location on the flutter follower force is studied. The crack section is represented by a local flexibility matrix connecting two undamaged beam segments. The crack is assumed to be in the first mode of fracture and to be always opened during the vibrations.

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Secondary Electron Emission Characteristics of Functional Layer in AC-PDP

  • Son, Chang-Gil;Han, Young-Gyu;Kim, Yong-Hee;Cho, Byeong-Seong;Hong, Young-Jun;Song, Ki-Baek;Bae, Young-Joo;Kim, In-Tae;Choi, Eun-Ha
    • 한국정보디스플레이학회:학술대회논문집
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    • 2009.10a
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    • pp.736-739
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    • 2009
  • We have studied that the secondary electron emission characteristics of functional layers which have different kinds of MgO sub-micrometer size powder in AC-PDP. We used cathodoluminescence(CL) and gamma focused ion beam (${\gamma}$-FIB) system for measurement of secondary electron emission characteristics. Also we made 6 inch test panel which applied functional layers for evaluation of discharge characteristics.

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