• 제목/요약/키워드: Free vibration

검색결과 2,131건 처리시간 0.045초

Free vibration of axially loaded Reddy-Bickford beam on elastic soil using the differential transform method

  • Yesilce, Yusuf;Catal, Seval
    • Structural Engineering and Mechanics
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    • 제31권4호
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    • pp.453-475
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    • 2009
  • The literature regarding the free vibration analysis of Bernoulli-Euler and Timoshenko beams on elastic soil is plenty, but the free vibration analysis of Reddy-Bickford beams on elastic soil with/without axial force effect using the Differential Transform Method (DTM) has not been investigated by any of the studies in open literature so far. In this study, the free vibration analysis of axially loaded Reddy-Bickford beam on elastic soil is carried out by using DTM. The model has six degrees of freedom at the two ends, one transverse displacement and two rotations, and the end forces are a shear force and two end moments in this study. The governing differential equations of motion of the rectangular beam in free vibration are derived using Hamilton's principle and considering rotatory inertia. Parameters for the relative stiffness, stiffness ratio and nondimensionalized multiplication factor for the axial compressive force are incorporated into the equations of motion in order to investigate their effects on the natural frequencies. At first, the terms are found directly from the analytical solutions of the differential equations that describe the deformations of the cross-section according to the high-order theory. After the analytical solution, an efficient and easy mathematical technique called DTM is used to solve the governing differential equations of the motion. The calculated natural frequencies of one end fixed and the other end simply supported Reddy-Bickford beam on elastic soil using DTM are tabulated in several tables and figures and are compared with the results of the analytical solution where a very good agreement is observed and the mode shapes are presented in graphs.

부분적으로 유체가 채워진 원통형 관내의 외팔보 진동해석 (Vibration Analysis of an Cantilever Beam in Partially Liquid-Filled Cylindrical Pipe)

  • 권대규;유계형;방두열;이성철
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 춘계학술대회논문집
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    • pp.1073-1078
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    • 2003
  • This paper presents the vibration characteristics of a cantilever beam in contact with a fluid using a PZT actuator and PVDF film. dynamic behaviors of a flexible beam-water interaction system are examined. The effect of the liquid level on free vibration of the composite beam in a partially liquid-filled circular cylinder is investigated. The coupled system is subject to an undisturbed boundary condition un the fluid domain. In the vibration analysis of a wetted beam. the decoupled analyses between beam and fluid have been conventionally employed by considering first the composite beam vibration in the all and secondly Performing the correction taking account for surrounding fluid effects. That is, this investigation was to look at how natural frequencies, mode shapes. and damping are affected by liquid level variations. The signals from the sensor according to the applied input voltage are digitalized and filtered in order to obtain the dynamic characteristics of the composite beam in contact with fluid. It was found that the coupled natural frequencies decreased with the fluid level for the identical composite beam due to added mass effect. In case of the free-free boundary condition, the natural frequency gently decreased at fluid water level between 20% and 80% in the first tending mode and we found out the bends of stair shape for added mass effect of the fluid.

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단층래티스돔의 자유진동해석 (Free-vibration Analysis of Single-Layer Latticed Domes)

  • 박정우;정환목;권영환
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1994년도 봄 학술발표회 논문집
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    • pp.89-94
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    • 1994
  • Latticed domes take form a curved surface by arranged members with certain patterns. For this reason, it is possible for the characteristics of vibration to complicate by change of various parameters of dome; grid-pattern, boundary condition and ratio of radius-height etc. Therefore, it is important to clarify the effect by these parameters before generalized dynamic response analysis. So this study deals with free vibration analysis of latticed domes and makes clear an effect of shape coefficient, that is, geometrical characteristics of latticed domes, on the vibration characteristics.

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단순지지된 Steel 및 복합재료 원통셸의 진동에 대한 실험적 고찰 (An Experimental Study on the Free Vibration of the Steel and Composite Cylindrical Shells with Simply Supported Edge Conditions)

  • 이영신;최명환;길기남;송근영
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1998년도 춘계학술대회논문집; 용평리조트 타워콘도, 21-22 May 1998
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    • pp.334-339
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    • 1998
  • The free vibration analysis of the simply supported steel and composite cylindrical shells are investigated. The natural frequencies and mode shapes of the shell are experimentally obtained by impact testing using an impact hammer and an accelerometer. The effects of the material and geometry on the vibrational characteristics of the shell are examined. The experimental results are compared with the analytical and a finite element results. They showed good agreement with each other.

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Nonlinear vibration analysis of laminated plates resting on nonlinear two-parameters elastic foundations

  • Akgoz, Bekir;Civalek, Omer
    • Steel and Composite Structures
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    • 제11권5호
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    • pp.403-421
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    • 2011
  • In the present manuscript, geometrically nonlinear free vibration analysis of thin laminated plates resting on non-linear elastic foundations is investigated. Winkler-Pasternak type foundation model is used. Governing equations of motions are obtained using the von Karman type nonlinear theory. The method of discrete singular convolution is used to obtain the discretised equations of motion of plates. The effects of plate geometry, boundary conditions, material properties and foundation parameters on nonlinear vibration behavior of plates are presented.

첨단 질량을 갖는 선형 원뿔대의 자유진동 (On the Free Vibration of Immersed Linearly Tapered Beam with a Tip Mass)

  • Shin, Young-Jae;Sung, Kyung-Yun;Yun, Jong-Hak
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 추계학술대회논문초록집
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    • pp.402.1-402
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    • 2002
  • A linearly tapered beam immersed partially in other material is considered and is modelled as a linearly tapered Bernoulli-Euler beam fixed at the bottom with a concentrated mass at the top. Its governing equations is derived and its free vibration analysis is performed for various boundary conditions. And the rotatory inertia of the eccentric lumped tip mass is considered. (omitted)

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양단고정된 변단면보의 자유 및 강제진동의 비선형해석 (Nonlinear analysis of stepped beam with immovable ends for free and forced vibration)

  • 심재수;함원식
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1990년도 봄 학술발표회 논문집
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    • pp.12-17
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    • 1990
  • Stepped bean with immovable ends for large amplitude of vibration including effects of longitudinal displacement, shear deformation and rotary inertia is investigated for free and forced vibration using finite element method. Modified harmonic force matrix is introduced for analysis of vibration with finite amplitude of the stepped beam under uniform hamonic loading and beam with nonuniform harmonic loading. Numerical examples of stepped beam with various support conditions are analysed for deflections and natural frequencies. Results show that the proposed method is valid and efficient.

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자유면의 수가 발파진동의 크기에 미치는 영향 (The Effects the Number of Free Faces on the Level of Blasting Vibration)

  • 이효;임한욱
    • 산업기술연구
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    • 제21권A호
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    • pp.263-271
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    • 2001
  • Blast-vibration tests were carried out to determine the effects of the number of free face on the level of blast vibration. Frequency chatacteristics were also examined by using FFT analysis. To check the effects of the number of free face, charge weight per delay, drilling length, burden and space were applied uniformly and the number of free face was only changed from one to four. The results from tests were checked by regression analysis and K-value.

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Exact solutions of axisymmetric free vibration of transversely isotropic magnetoelectroelastic laminated circular plates

  • Chen, Jiangying;Xu, Rongqiao;Huang, Xusheng;Ding, Haojiang
    • Structural Engineering and Mechanics
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    • 제23권2호
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    • pp.115-127
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    • 2006
  • The axisymmetric free vibrations of transversely isotropic magnetoelectroelastic laminated circular plates are studied. Based on the three-dimensional governing equations of magnetoelectroelastic medium, the state space equations of laminated circular plates are obtained. By using the finite Hankel transform and rendering the free terms left by the transform in terms of the boundary quantities, the solutions of the state space equations are given for two kinds of boundary conditions. The frequency equations of the free vibration are derived using the propagator matrix method and the boundary conditions at top and bottom surfaces. By virtue of the inverse Hankel transform, the mode shapes are also determined. Since the solutions strictly satisfy the governing equations in the region and the boundary conditions at the edges, they are the three-dimensionally exact. Finally, the natural frequencies of such plates are tabulated and compared with those of the piezoelectric and elastic plates in the numerical example.

무소음・무진동을 위한 스크류콘크리트말뚝의 시공법설정에 관한 연구 (A Study on the Determination of Construction Method of Screw Concrete Piles for Noise & Vibration-Free)

  • 최용규;김동철;김성수;남문석
    • 한국지반환경공학회 논문집
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    • 제11권7호
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    • pp.15-24
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    • 2010
  • 말뚝 항타로 인한 소음 진동공해는 건설현장 주변에 피해를 주고 민원을 발생하게 하여 심한 경우에는 공사가 중단되는 사태까지 발생하게 된다. 이를 해결하기 위해 건설 기술자들은 저소음 저진동말뚝공법의 개발을 위해 부단한 노력을 해왔다. 이러한 노력 중의 하나인 무소음 무진동을 위한 스크류콘크리트말뚝공법은 말뚝 본체를 회전 압입시켜 지중에 말뚝을 관입시키는 방법으로 소음과 진동의 발생이 거의 없고 지지력을 극대화 할 수 있는 장점을 가지고 있다. 무소음 무진동을 위한 기성스크류말뚝공법은 국내 외에서 개발되어 있지 않으며 본 연구진에 의해 시제품 제작을 완료하였고 두차례 시험시공을 통하여 시공법을 설정하였다. 본 논문에서는 무소음 무진동을 위한 스크류콘크리트말뚝공법의 특징에 대해 설명하였고 두차례 시험시공 및 이를 통한 시공법 설정에 대하여 설명하였다. 그리고 이러한 시험시공 결과를 토대로 근입깊이와 지반조건에 따라 스크류콘크리트말뚝을 지중에 관입시키는 시공방법에 관한 연구를 수행하였다.