• Title/Summary/Keyword: 자유진동해석

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High Frequency Vibration Analysis of Single Curved Beam Using the Ray Tracing Method (레이 추적 기법을 이용한 단일 곡보의 고주파수 진동 해석)

  • 정철호;이정권
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.11a
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    • pp.90-95
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    • 2001
  • 현재까지 고주파수 진동해석에 가장 많이 쓰이는 방법은 통계적 에너지 해석법 (SEA)이다. 그러나 SEA는 많은 가정을 사용하고 있고 시간 및 공간 평균된 에너지 값을 사용하기 때문에 결과에서 알아낼 수 있는 정보가 제한된다. 이러한 단점을 극복하기 위하여 진동 전도 해석법(VCA)이나 파동 인텐시티기법 (WIA)등이 제안되었고, 기하음향학의 한 방법인 레이 추적 기법 (RTM)도 구조음향학에 적용하고 있다. 본 논문에서는 레이 추적 기법을 이용하여 오일러-베르누이 보 이론에 근거한 고정단-자유단 경계조건을 가지는 단일 곡보의 진동 해석을 수행하였다. 예제를 통한 해석 결과, 주파수가 높을수록, 또 감쇠가 클수록 더 정확한 결과를 예측할 수 있음을 관찰할 수 있었으며, 따라서 기존 해석법들의 가정에 적합하지 않은 구조물에 적용할 수 있는 장점이 있다.

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Static and Free Vibration Analyses of Hybrid Girders by the Equivalent Beam Theory (등가보 이론을 이용한 복합 거더의 정적 및 자유진동 해석)

  • Choi, In-Sik;Ye, In-Ho
    • Journal of the Korean Society for Railway
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    • v.10 no.5
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    • pp.600-606
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    • 2007
  • 3D finite element analyses of a corrugated steel web girder and a steel truss web girder are conducted to investigate the static and dynamic behaviour of the hybrid girders. And the analyses results are compared with those by the equivalent beam theory. The equivalent theory is a theory that all section properties of a truss structure are replaced by section properties of a beam including a shear coefficient. When applying the equivalent beam theory, the shear coefficient of the corrugated steel web girder is estimated as the area ratio of flange section to web section and that of the steel truss web girder is calculated by the equation proposed by Abdel. Static deflections and natural frequencies by 3D finite element analyses and those by the equivalent beam theory are in good agreement.

Theoretical Investigation of 2DOF Vibrating System and Its Application to Dynamic Vibration Absorber (2자유도 진동계에 관한 이론적 고찰 및 진동흡진기로의 응용)

  • Jang, Seon-Jun;Brennan, M.J.;Rustigh, E.;Jung, Hyung-Jo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.4
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    • pp.371-377
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    • 2009
  • In this paper, the dynamic characteristic of vibrating system which has translational and rotational degrees of freedom is studied. The moment of inertia of the system is modeled here as the inerter and the equivalent model to the system is proposed using dynamic stiffness method. It is shown that the size of inerter plays a major role to determine the dynamic characteristic of the system. This two degree of freedom system(DOF) is applied as a dynamic vibration absorber(DVA) to the elimination of single peak of main body. The solution for the undamped DVA is presented in analytical form while the damped DVA is designed using fixed point theory. The numerical examples are presented for verifying the methods.

Free Vibration Analysis of Cantilevered Composite and Hybrid Composite Triangular Plates (외팔형 복합재료 및 혼합적층 삼각판의 자유진동 해석)

  • 최명환;이영신
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1992.10a
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    • pp.153-157
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    • 1992
  • 본 연구에서는 복합재료와 혼합적층 외팔형 삼각판의 동적거동을 실험을 통하여 파악하였다. 또한 실험 결과들의 비교를 위해서 FEM 해석을 수행하였다. 실험과 FEM의 결과들은 고유진동수(Hz)로 제시하였고, 또한 참고문헌과의 비교를 위해서 무차원 진동수매개 변수로 나타내었다. 그리고 외팔형 삼각판의 노달라인을 나타내었다.

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Eigen-Frequency of a Cantilever Beam Restrained with Added Mass and Spring at Free End or a Node Point (자유단 혹은 노드점에 작용하는 스프링과 부가질량을 받는 일단 지지보의 고유진동수)

  • Sim, Woo-Gun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.12
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    • pp.32-40
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    • 2018
  • In order to avoid excessive vibration, it is required to carry out a vibration analysis of heat-exchanger/nuclear-reactor at the design stage. Information of eigen-frequency in the vibration problem is required to evaluate safety of heat-exchange/nuclear reactor. This paper describes a numerical method, Galerkin's method, to solve the eigenvalue problem occurred in a cantilever beam. The beam is restrained with added mass and spring at the free end or a node point of a mode shape. The numerical results of eigen-frequency were compared with simple analytical and experimental results given by simple approach and simple test, respectively. It is found that Galerkin's method is applicable to estimate the eigen-frequency of the cantilever beam. The frequencies become lower with increasing the added mass and the frequencies increase with the spring force. It is shown the heavy added mass has a role of support on the flexible tube. The eigen-frequency of the first mode, for the system with the added mass mounted at the free end, can be calculated by the approximate analytical method existing with more or less accuracy.

Vibration Analysis of Rotating Pre-twisted Inward Beams with a Concentrated Mass (집중질량과 초기 비틀림을 갖는 회전중심방향 자유단 외팔보의 진동해석)

  • Lee, Gun Ho;Yoo, Hong Hee
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.25 no.6
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    • pp.384-390
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    • 2015
  • The vibration analysis of rotating inward beams considering the pre-twisted is presented based on Euler-Bernoulli beam theory. The frequency equations, are calculated using hybrid deformation variable modeling along with the Rayleigh-Ritz assumed mode methods. In this study, resulting system of ordinary differential equations shows the effects of angular speed, and Young's modulus ratio. It is believed that the results will be a reference with which other researchers and commercial FE analysis program, ANSYS can compare their result.

Vibration Analysis of Rotating Inward Cantilever Beams With a Tip-Mass (집중질량을 갖는 회전중심방향 자유단 외팔보의 진동해석)

  • Lee, Gun Ho;Yoo, Hong Hee
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2014.10a
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    • pp.389-391
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    • 2014
  • The Vibration Analysis of Rotating Inward Beams Considering The Tip-Mass is presented based on Euler-Bernoulli beam theory. The frequency equations, which are coupled through gyroscopic coupling terms, are calculated using hybrid deformation variable modeling along with the Rayleigh-Ritz assumed mode methods. In this study, resulting system of ordinary differential equations shows the effects of angular speed, and Young's modulus ratio. It is believed that the results will be a reference with which other researchers and commercial FE analysis program, ANSYS can compare their results.

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Free Vibration Analysis of Tapered Opening Thick Plate (개구부를 갖는 변단면 후판의 자유진동해석)

  • Kim, Il-Jung
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.907-910
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    • 2005
  • This paper has the object of investigating natural frequencies of tapered thick plate, tapered ratio, thick plate's opening size by means of finite element method and providing kinetic design data for mat of building structures. Free vibration analysis that tapered thick plate in this paper. Finite element analysis of rectangular plate is done by use of rectangular finite element with 8-nodes. In order to analysis plate which is varioued of plate thickness. the thickness is varied with 5, 10, 15, 20 and the tapered ratio is applied as 0.0, 0.25, 0.5, 0.75, 1.0 respectively. This paper is analyzed varying thickness by taper ratio.

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Free Vibration of EllllIipticall and Circular Plates (타원형 및 원형 평판의 자유 진동)

  • 김찬수
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.8
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    • pp.1485-1492
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    • 1992
  • While the vibration of circular plates were considered by many researchers, rather less attention is given to elliptical plates. In the present paper, the Rayleigh-Ritz mothod is used to obtain an eigenvalue equation for the free flexural vibration of thin elliptical plates having the classical free, simply suported or clmped boundary condition. Circular plates are included as a special case of the elliptical plates. Products of simple polynomials are used as the admissible functions and a recurrence relationship facilitates the evaluation of the necessary integrals. The analysis is developed for rectilinear orthotropic plates but the numerical results are given for isotropic plates with various aspect ratios.

Free Vibration Analysis of Rectangular Plate with Elastic Supports - Formulation by the Transfer Infiuence Coefficient Method - (탄성지대를 갖는 사각형 평판의 자유진동해석)

  • Moon, Deok-Hong;Yeo, Dong-Jun
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.27 no.4
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    • pp.313-320
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    • 1991
  • The paper describes the formulation for the analysis of the flexural free vibration of rectangular plate structure by the transfer influence coefficient method, which was developed on the base of the concept of the successive transmission of dynamic influence coefficients. For the analysis of rectangular plate which two opposite sides are simply-supported edge condition, the results of simple numerical examples demonstrate the validity of the present method, that is, the numerical high accuracy, the high speed and the flexibility for programming, compared with results of the transfer matrix method and exact solution or Leissa's method.

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