• Title/Summary/Keyword: Beam equation

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A Study on the Bending and Seismic Performance of High Performance Cold Forming Composite Beam

  • Choi, Young Han;Kim, Sung Bae;Hong, Hyung Ju;Kim, Sang Seup
    • International journal of steel structures
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    • v.18 no.5
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    • pp.1772-1783
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    • 2018
  • Nowadays, the researches about composite structure system are being implemented in various fields, and many steel structures are designed based on that. In this study, the bending and seismic performance of the newly developed high-performance cold forming composite beam are evaluated by several experiments. As a result of the bending performance test, the bending moment of beam was increased stably depending on the depth and plate thickness of beam, and it is considered that the bending moment can be evaluated by the equation of a composite beam design. As a result of the seismic performance test, it was verified that sufficient seismic performance was obtained despite the increase of a negative moment rebar and depth of beam. In addition, the nominal bending moment has obtained the strength above the plastic bending moment, and also the plastic rotation angle has satisfied the requirement of composite intermediate moment frame.

A Study on the Dynamic Behavior of Cracked Pipe Conveying Fluid Using Theory of Timoshenko Beam (티모센코 보이론을 적용한 크랙을 가진 유체유동 파이프의 동특성에 관한 연구)

  • 진종태;손인수;윤한익
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.14 no.3
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    • pp.236-243
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    • 2004
  • In this paper a dynamic behavior of a simply supported cracked pipe conveying fluid with the moving mass is presented. Based on the Timoshenko beam theory, the equation of motion can be constructed by using the Lagrange's equation. The crack section is represented by a local flexibility matrix connecting two undamaged beam segments i.e. the crack is modelled as a rotational spring. This flexibility matrix defines the relationship between the displacements and forces across the crack section and is derived by applying fundamental fracture mechanics theory. And the crack is assumed to be in th first mode of fracture. As the depth of the crack and velocity of fluid are increased the mid-span deflection of the pipe conveying fluid with the moving mass is increased. As depth of the crack is increased, the effect of the velocity of the fluid on the mid-span deflection appears more greatly.

A Beam Steering Method of the Rotating Scanning Phased Array Antenna (회전 주사식 위상 배열 안테나의 빔 조향 방법)

  • 한동호;염동진;권경일;홍동희
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.7 no.2
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    • pp.147-156
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    • 1996
  • In this paper we proposed a beam steering equation for the planar slotted waveguide array antenna. The tilt angle measured from the rotating axis and the aperture distribution of the antenna were the most important factors for the beam steering. From the equation, we calculated the frequency and phase distribution of the aperture for any desired beam direction. And we developed a high speed control algorithm delivering the phase data to the phase shifters of a one-dimensional phased array antenna. To reduce complexity of the control circuit and the phase delivery time, we proposed the serial phase repeating method. Because of its simplicity, we expect it can be useful for a large 2- dimensional fully phased array antenna.

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Free vibration analysis of tall buildings with outrigger-belt truss system

  • Malekinejad, Mohsen;Rahgozar, Reza
    • Earthquakes and Structures
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    • v.2 no.1
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    • pp.89-107
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    • 2011
  • In this paper a simple mathematical model is presented for estimating the natural frequencies and corresponding mode shapes of a tall building with outrigger-belt truss system. For this purposes an equivalent continuum system is analyzed in which a tall building structure is replaced by an idealized cantilever continuum beam representing the structural characteristics. The equivalent system is comprised of a cantilever shear beam in parallel to a cantilever flexural beam that is constrained by a rotational spring at outrigger-belt truss location. The mathematical modeling and the derivation of the equation of motion are given for the cantilevers with identically paralleled and rotational spring. The equation of motion and the associated boundary conditions are analytically obtained by using Hamilton's variational principle. After obtaining non-trivial solution of the eigensystem, the resulting is used to determine the natural frequencies and associated mode shapes of free vibration analysis. A numerical example for a 40 story tall building has been solved with proposed method and finite element method. The results of the proposed mathematical model have good adaptation with those obtained from finite element analysis. Proposed model is practically suitable for quick evaluations during the preliminary design stages.

Nonlinear low-velocity impact of graphene platelet-reinforced metal foam beam with geometrical imperfection

  • Yi-Han Cheng;Gui-Lin She
    • Steel and Composite Structures
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    • v.52 no.6
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    • pp.609-620
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    • 2024
  • The impact problem of imperfect beams is crucial in engineering fields such as water conservancy and transportation. In this paper, the low velocity impact of graphene reinforced metal foam beams with geometric defects is studied for the first time. Firstly, an improved Hertz contact theory is adopted to construct an accurate model of the contact force during the impact process, while establishing the initial conditions of the system. Subsequently, the classical theory was used to model the defective beam, and the motion equation was derived using Hamilton's principle. Then, the Galerkin method is applied to discretize the equation, and the Runge Kutta method is used for numerical analysis to obtain the dynamic response curve. Finally, convergence validation and comparison with existing literature are conducted. In addition, a detailed analysis was conducted on the sensitivity of various parameters, including graphene sheet (GPL) distribution pattern and mass fraction, porosity distribution type and coefficient, geometric dimensions of the beam, damping, prestress, and initial geometric defects of the beam. The results revealed a strong inhibitory effect of initial geometric defects on the impact response of beams.

Theoretical analysis of composite beams under uniformly distributed load

  • Daouadji, Tahar Hassaine;Adim, Belkacem
    • Advances in materials Research
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    • v.5 no.1
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    • pp.1-9
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    • 2016
  • The bending problem of a functionally graded cantilever beam subjected to uniformly distributed load is investigated. The material properties of the functionally graded beam are assumed to vary continuously through the thickness, according to a power-law distribution of the volume fraction of the constituents. First, the partial differential equation, which is satisfied by the stress functions for the axisymmetric deformation problem is derived. Then, stress functions are obtained by proper manipulation. A practical example is presented to show the application of the method.

Performance Analysis and Modifications of Axi-Symmetric Electrostatic Lens for Sub-Micron Ion Beam System (Sub-micron의 이온빔 직경을 가지는 축대칭 정전렌즈의 성능 해석 및 개선)

  • 이종현;배남진;김보우
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.9
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    • pp.1348-1358
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    • 1989
  • We analyzed electrostatic lens with axi-symmetic configurations using the analytic equation for a single apertured lens. The developed computer code afforded to estimate ion optical properties such as ion trajectories, aberrations and ion beam diameters, and was found to have advantages of a shorter calculation time. The calculated ion optical properties for several types of electrostatic lens were in good agreement with Burghard's ones and it was seem that 20% reduction of ion beam diameter could be obtained by the change of aperture diameters.

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A study of manufacture of IPMC actuator and the high molecule finite element analysis. (IPMC 구동기의 제작 및 고분자 해석기법에 관한 연구)

  • Kim, Se-Hun;Cho, Seok-Min;Lee, Dong-Weon;Park, Young-Chul;Kang, Joung-Ho
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.7 no.4
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    • pp.24-30
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    • 2008
  • The laminate IPMC actuator have been developed with a commercial Nafion film and platinum electrodes. Equivalent beam and equivalent bimorph beam models for IPMC(Ionic Polymer-Metal Composite) actuators are described. By using a beam equation with estimated physical properities and actuation displacements of a cantilevered IPMC actuator are estimated. And Finite element analysis(FEA) was done by ANSYS.

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미분변환법에 의한 탄성 지반상의 열림 균열을 가진 Euler-Bernoulli보의 진동 해석

  • 황기섭;윤종학;유영찬;신영재
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.11a
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    • pp.690-695
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    • 2003
  • The main purpose of this paper is to apply differential transformation method to vibration analysis of Euler-Bernoulli beam with open cracks on elastic foundation. The governing equation of motion of beam with open cracks on elastic foundation is derived. The concept of differential transformation is briefly introduced. The cracks are modeled by massless substitute spring. The effects of the crack location, size and the foundation constants, on the natural frequencies of the beam, are investigated.

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A Simplified Seismic Design Method of Precast Coupled Shear Wall (프리캐스트 병렬 전단벽의 내진 설계에 관한 연구)

  • 홍성걸
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 1998.10a
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    • pp.65-74
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    • 1998
  • In seismic design procedure of precast concrete structure, it is important to assign ductility requirement on the connection element for a favorable failure mechanism. The purpose of this paper is to propose a simplified procedure to determine the required ductility of coupling beam in coupled precast shear wall for a lateral displacement ductility at the top of a structure. This study shows that an equation for ductility of cloupling beam is introduced on the basis of several basic assumption.

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