• 제목/요약/키워드: beam vibrations

검색결과 340건 처리시간 0.03초

Winkler형 지반위에 놓인 보-기둥의 자유진동 및 좌굴하중 해석 (Free Vibrations and Buckling Loads of Beam-Columns on Winkler-Type Foundations)

  • 정진섭;이병구;오상진
    • 대한토목학회논문집
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    • 제13권4호
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    • pp.251-258
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    • 1993
  • 이 논문은 Winkler형 지반위에 놓인 보-기둥의 자유진동 및 좌굴하중 해석에 관한 연구이다. 축하중을 받는 탄성지반위에 놓인 보-기둥이 자유진동할 때 보-기둥 미소요소에 작용하는 힘들의 동적평형방정식으로부터 지배 미분방정식을 유도하였으며, 물리적인 특성관계를 이용하여 탄성지반위에 놓인 보-기둥의 좌굴을 지배하는 미분방정식을 직접 유동하였다. 유도된 미분방정식은 수치해석기법인 Runge-Kutta method와 행렬값 탐사법을 이용하여 해석하였다. 실제의 수치예에서는 양단회전 및 양단고정의 단부조건에 대하여 수치해석하였다. 수치해석의 결과로 무차원 고유진동수와 지반탄성계수 관계, 무차원 좌굴하중과 지반탄성계수 관계 및 축하중과 무차원 고유진동수 관계를 그림에 나타내었으며, 탄성지지구간의 변화에 따른 고유진동수 및 좌굴하중 변화를 고찰하였다. 또한 3구간으로 나누어지는 비균질 지반위에 놓인 보-기둥의 축하중과 고유진동수 관계를 고찰하였으며 이에 대한 진동형을 그림에 나타내었다.

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횡-비틀림 연성진동하는 L형 단면 보의 크랙 검출에 대한 실험적 연구 (Experimental Study on Detection of Crack for Coupled Bending-torsional Vibrations of L-beams)

  • 손인수;이두호;노태우
    • 한국소음진동공학회논문집
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    • 제21권2호
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    • pp.169-177
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    • 2011
  • In this paper, the natural frequency of a cracked cantilever L-beams with a coupled bending and torsional vibrations is investigate by theory and experiment. In addition, a method for detection of crack in a cantilever L-beams is presented based on natural frequency measurements. The governing differential equations of a cracked L-beam are derived via Hamilton's principle. The two coupled governing differential equations are reduced to one sixth order ordinary differential equation in terms of the flexural displacement. Futher, the dynamic transfer matrix method is used for calculation of a exact natural frequencies of L-beams. The crack is assumed to be in the first mode of fracture and to be always opened during vibrations. In this study, the differences between the actual and predicted positions and sizes of crack are less than about 10 % and 39.5 % respectively.

축방향 하중을 받는 점탄성물질이 심어진 적층보의 지그재그요소를 이용한 진동해석 (Damped Vibrations of Axially-Stressed Laminated Beams using Zig-Zag Finite Element)

  • 이덕규
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2001년도 추계학술발표대회 논문집
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    • pp.1-4
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    • 2001
  • Dynamic analysis of laminated beams with a embedded damping layer under tension or compression axial load is investigated. Improved Layer-Wise Zig-Zag Beam Theory and Interdependent Kinematic Relation using the governing equations of motion are incorporated to model the laminated beams with a damping layer and a corresponding beam zig-zag finite element is developed. Flexural frequencies and modal loss actors under tension or compression axial load are calculated based on Complex Eigenvalue Method. The effect of the axial tension and compression load on the frequencies and loss factors is discussed.

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비선형 경계조건을 가진 보의 정규모드진동 (Normal Mode Vibrations of a Beam with a Nonlinear Boundary Condition)

  • 김현기;이원경
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1998년도 춘계학술대회논문집; 용평리조트 타워콘도, 21-22 May 1998
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    • pp.392-398
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    • 1998
  • In order to check the validity of nonlinear normal modes of continuous, systems by means of the energy-based formulation, we consider a beam with a nonlinear boundary condition. The initial and boundary e c6nsl of a linear partial differential equation and a nonlinear boundary condition is reduced to a linear boundary value problem consisting of an 8th order ordinary differential equations and linear boundary conditions. After obtaining the asymptotic solution corresponding to each normal mode, we compare this with numerical results by the finite element method.

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Cantilever형 바이몰프 압전소자의 출력특성에 관한 연구 (A Study on the Output Characteristics for the Cantilever Piezoelectric Bimorph)

  • 김용혁
    • 전기학회논문지
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    • 제59권3호
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    • pp.581-587
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    • 2010
  • Using piezoelectric elements to harvest energy from ambient vibrations has been of great interest over the past few years. Due to the relatively low power output of piezoelectric materials, there are many study to improve the energy harvesting efficiencies. This paper is study the efficiencies of the output energy considering the cantilever piezoelectric bimorph using aluminum vibration beam. when the length of vibration beam and the piezoelectric body becomes same and the maximum output power comes out. DC voltage was increased as the beam thickness and vibration frequency was increased. The vibration beam was able to achieve very large energy value.

신경회로망을 이용한 유연한 로보트 빔의 위치제어에 관한 연구 (A Study on the Position Control of Flexible Robot Beam Using Neural Networks)

  • 탁한호;이상배
    • 한국항해학회지
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    • 제21권1호
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    • pp.109-118
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    • 1997
  • In this paper, applications of multilayer neural networks to control of flexible robot beam are considered. The multilayer nerual networks can be used to approximate any continuous function to a desired degree of accuracy and the weights are updated by Gradient Method. When a flexible beam is rotated by a motor through the fixed end, transverse vibration may occur. The motor torque should be controlled insuch a way that the motor rotates by a specified angle, while simultaneously stabilizing vibration of the flexible manipulators so that is arrested as soon as possbile at the end of rotation. Accurate control of lightweight beam during the large changes in configuration common to robotic tasks requires dynamic models that describe both rigid body motions, as well as the flexural vibrations. Therefore, a linear dynamic state-space model of for a single link flexible robot beam is derived and PD controller, LQP controller, and inverse dynamical neural networks controller are composed. The effectiveness the proposed control system is confirmed by computer simulation.

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Vibration analysis of a cracked beam with axial force and crack identification

  • Lu, Z.R.;Liu, J.K.
    • Smart Structures and Systems
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    • 제9권4호
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    • pp.355-371
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    • 2012
  • A composite element method (CEM) is presented to analyze the free and forced vibrations of a cracked Euler-Bernoulli beam with axial force. The cracks are introduced by using Christides and Barr crack model with an adjustment on one crack parameter. The effects of the cracks and axial force on the reduction of natural frequencies and the dynamic responses of the beam are investigated. The time response sensitivities with respect to the crack parameters (i.e., crack location, crack depth) and the axial force are calculated. The natural frequencies obtained from the proposed method are compared with the analytical results in the literature, and good agreement is found. This study shows that the cracks in the beam may have significant effects on the dynamic responses of the beam. In the inverse problem, a response sensitivity-based model updating method is proposed to identify both a single crack and multiple cracks from measured dynamic responses. The cracks can be identified successfully even using simulated noisy acceleration responses.

Active Vibration Suppression of a Flexible Structure Using Sliding Mode Control

  • Itik Mehmet;Salamci Metin U.
    • Journal of Mechanical Science and Technology
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    • 제20권8호
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    • pp.1149-1158
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    • 2006
  • In this paper, sliding mode control (SMC) is designed and applied to an elastic structure to suppress some of its vibration modes. The system is an elastic beam clamped on one end and the designed controller uses only the deflection measurement of the free end. The infinite dimensional mathematical model of the beam is reduced to an ordinary differential equation set to represent the behavior of required modes. Since the states of the finite dimensional model are not physically measurable quantities, an observer is designed to estimate these states by measuring the tip deflection of the beam. The performance of the observer is important because the observed states are used in the SMC design. In this study, by using the output information, an observer is designed and tested to estimate the states of the finite dimensional model of the beam. Then the designed SMC is applied to the experimental beam system which gives satisfactory suppressed vibrations.

이동하는 열탄성 보-평판의 동적 해석 (Dynamics of an Axially Moving Thermoelastic Beam-plate)

  • 권경수;조주용;이우식
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 추계학술대회논문집
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    • pp.715-718
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    • 2005
  • For accurate prediction of the thermal shock-induced vibrations, this paper develops a spectral element model for usually moving thermoelastic beam-plates. The spectral element model is formulated from the frequency-dependent dynamic shape functions which satisfy the governing equations in the frequency-domain. Some numerical studies are conducted to evaluate the present spectral element model and also to investigate the vibration characteristics of an example axially moving beam-plate subjected to thermal loadings.

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크랙을 가진 회전 외팔보의 동특성 해석 (Dynamic Behavior of Rotating Cantilever Beam with Crack)

  • 윤한익;손인수
    • 한국소음진동공학회논문집
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    • 제15권5호
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    • pp.620-628
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    • 2005
  • In this paper, we studied about the dynamic behavior of a cracked rotating cantilever beam. The influences of a rotating angular velocity, the crack depth and the crack position on the dynamic behavior of a cracked cantilever beam have been studied by the numerical method. The equation of motion is derived by using the Lagrange's equation. The cracked cantilever beam is modeled by the Euler-Bernoulli beam theory. The crack is assumed to be in the first mode of fracture and to be always opened during the vibrations. The lateral tip-displacement and the axial tip-deflection of a rotating cantilever beam is more sensitive to the rotating angular velocity than the depth and position of crack. Totally, as the crack depth is increased, the natural frequency of a rotating cantilever beam is decreased in the first and second mode of vibration. When the crack depth is constant, the natural frequencies of a rotating cantilever beam are proportional to the rotating angular velocity in the each direction.