• Title/Summary/Keyword: 횡방향 고유 진동수

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Determination of Eigenvalues of Sinusoidally Tapered Members by Finite Element Method (유한요소법을 이용한 정현상으로 taper진 부재의 고유치 산정)

  • Lee, Soo-Gon;Kim, Soon-Chul
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.1
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    • pp.87-95
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    • 2000
  • The two eigenvalues (elastic critical load and natural frequency of lateral vibration) of sinusoidally tapered bats with simply supported ends were determined by the finite element method. For the convenience of structural engineers who are engaged in the structural design or vibration analysis of tapered beam-columns, eigenvalue coefficients were expressed by simple algebraic equations. The validity of each algebraic equation was confirmed by the value of unity for each correlation coefficient. The influence of axial thrust on the lateral vibration frequency was also investigated. For this purpose, the axial thrust was increased successively and the corresponding frequency was calculated. The approximate linear relationship between the axial thrust and the square of the frequency was confirmed lot each of the tapered members.

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A Study on the Vibration Characteristics of the Eccentrically Stiffened Plate Attached an Orthogonal Stiffener at Arbitrary Angle (직교 보강재가 임의의 각도로 부착된 편면 보강평판의 진동 특성에 관한 연구)

  • 정병환;김찬묵
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1995.10a
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    • pp.172-178
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    • 1995
  • 보강평판은 평판에 각종 보강재를 용접등의 방법에 의해서 종방향, 횡방향, 경사 또는 임의의 방향으로 부착시켜 굽힘 및 비틀림 강성을 향상시킨 구조요소이다. 이러한 구조요소는 구조적 필요성이나 경량화 설계에 따라 선박의 deck, 철도 차량, 항공기 및 자동차 등의 각종 구조물에서 부하능력 및 경제성을 증대시키기 위하여 널리 사용되고 있고, 또한 자동차용 오일팬, 가전기기의 케이싱과 모터의 케이싱등에도 사용되고 있다. 최근 현장에서는 이러한 구조물의 진동 감소 및 방진 문제가 큰 관심사가 되고 있다. 본 논문은 정사각형 알루미늄 평판에 +자 형태의 Box Beam 보강재를 편면 보강하고 4변 자유단의 경계 조건을 설정하였다. 보강재는 유한요소 정식화 과정을 통하여 평판 요소에 등가시키고, 2차원의 평판 구조로 보강 평판을 모델링하고 구조해석 프로그램인 ANSYS를 이용하여 해석하였다. 실험은 Impact Test에 의해서 주파수 응답 함수(FRF)를 각 시편에 대해서 구하고 이를 해석의 고유진동수와 비교하였다. 그리고 보강재가 임의의 각도로 평판에 부착되었을 때 고유진동수의 변화와 진동 모드(mode shape)를 분석하였다.

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The Eigenvalues and Their Relationships for the Rectangular Frame (4각형 골조의 고유치와 고유치 간의 관계)

  • Lee, Soo-Gon;Kim, Soon-Cheol;Song, Chang-Young;Song, Sang-Yong
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.9 no.3
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    • pp.139-150
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    • 2005
  • Finite element method is applied to the determinations of the two eigenvalues(the elastic critical load and the natural frequence of lateral vibrations) of single story-3 equal bay rectangular frame. The analysis parameters are taper parameter ${\alpha}$ for column, and beam span to column height ratio, ${\beta}$ and second moment area ratio of beam to column, ${\Upsilon}$. Support condition at the column base and sway condition at the column top are also considered in the stability analysis of frame. The changes in the coefficient of eigenvalue are represented by algebraic function of analysis parameter. The coefficients estimated by the proposed algebraic function show good agreement with those determined by finite element method, which suggest the design aid role of the proposed function. By increasing the column axial forces step by step, the corresponding frequencies are also determined, which makes one examine or confirm the relationship suggested by other studies.

Lateral Vibration Reduction of a Maglev Train Using U-shaped Electromagnets (U 자형 전자석을 사용하는 자기부상열차의 횡진동 저감 연구)

  • Han, Jong-Boo;Kim, Ki-Jung;Han, Hyung-Suk;Kim, Sung-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.11
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    • pp.1447-1453
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    • 2012
  • For an electromagnetic suspension (EMS)-type urban Maglev train using U-shaped electromagnets, both the vertical and the lateral air gaps for levitation are maintained only by the electromagnet. The train can run over curved rails without active lateral air gap control because the U-shaped electromagnet simultaneously produces both a levitation force and a guidance force, which is dependent on the levitation force. Owing to the passive control of the lateral air gap, the lateral vibration could exceed the limits of the lateral air gap and acceleration. In this study, dynamic analysis of a Maglev train is carried out, and the effectiveness of a lateral damper for vibration reduction is investigated. To more accurately predict the lateral vibration, a Maglev vehicle multibody model including air-sparing, guideway irregularities, electromagnets, and their controls is developed.

Distribution of Natural Frequency of 2-DOF Approximate Model of Stay Cable to Reduction of Area (단면감소에 따른 사장케이블의 2-자유도 근사모델의 고유진동수 분포)

  • Joe, Yang-Hee;Lee, Hyun-Chol
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.18 no.6
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    • pp.147-154
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    • 2014
  • The cable damages of the bridge structures induce very important impact on the structural safety, which implies the close monitoring of the cable damage is required to secure sustained safety of the bridges. Most usual available maintenance techniques are based on the monitoring the change of the natural frequency of the structures by damages. However, existing method are based on vibration method to calculate lateral vibration and system identification can calculate the axial stiffness using sensitivity equation by trial error method. But the frequency study by the longitudinal movement need because of the sag effect in system identification. This study proposes a new method to investigate the damage magnitudes and status. The method improves the accuracies in the magnitudes and status of damages by adopting the natural frequency of longitudinal movement. The study results have been validated by comparing them with the approximate solution of FEM. Thus, the relationship of cable damage and frequency appear with relation that the severe damage has the little frequency. If we know the real frequency we can estimate the cable damage severity using this relationship. This method can be possible the efficient management of the cable damage.

Dynamic Characteristics of a 3-dimensional Irregular Setback Structure (3차원 비정형 Setback 구조물의 동적 특성)

  • 문성권
    • Computational Structural Engineering
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    • v.11 no.4
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    • pp.287-294
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    • 1998
  • 입면의 형태가 임의의 층에서 큰 차이를 보이는 3차원 비정형 setback 구조물의 동적 거동 특성과 이들 구조물의 동적 거동에 미치는 바닥 슬래브의 면내 변형 효과를 분석하였다. 비정형 setback 구조물의 전반적인 동적 거동특성을 분석하기 위하여 베이스 부분의 평면적과 타워 부분의 평면적 비(R?), setback 발생위치(L?)등을 매개 변수로 사용하였다. 48개의 비정형 setback 구조물들에 대한 해석 수행 결과 setback 구조물은 정형 구조물에 비해 횡방향 1차 모드의 유효 모드 중량(effective modal weight)이 작게 나타나는 경향을 보이기 때문에 setback 구조물의 동적 거동을 파악하기 위해서는 등가 정적 해석법 대신에 동적 해석을 수행할 필요가 있음을 알 수 있었다. 바닥슬래브의 면내 변형은 보다 긴 구조물의 고유 진동 주기값을 가져오며 모드 순서 및 모드 형상에도 변화를 준다. 이러한 사실은 바닥슬래브의 면내 변형으로 인하여 횡방향 저항 요소들간의 전단력 분포와 층 변위가 영향을 받을 수 있다는 것을 의미한다. 이러한 현상은 횡방향 저항 요소들간의 강성 차가 심한 프레임-전단벽 시스템에서 두드러지게 나타난다.

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Free Vibration Analysis of a 3-dimensional Cable-Stayed Bridge with the Unsymmetric Girder Cross-section (비대칭단면 주형을 갖는 3차원 사장교의 고유진동해석)

  • Kim, Chul Young;Chang, Sung Pil
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.11 no.2
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    • pp.15-26
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    • 1991
  • The lateral forces such as the earthquake and wind my cause the torsion to be coupled with the lateral bending in the gider, the cross-section of wich has only one axis of symmetry. This induces additional stresses especially in cables arranged in double-planes. Since this effect cannot be considered by using the conventional frame elements, the stiffness and the mass matrices of the geometrically nonlinear thin-walled frame element are developed in this study to model the girder. The equivalent modulus of elasticity proposed by Ernst is used for the cable elements. Verification of the present theory is made through a numerical example. Then, the free vibration of a three dimensional cable-stayed bridge is analyzed to study the coupled flexural-torsional behavior.

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Dynamic Behavior of External Post-tensioned Non-ballast Steel Plate Girder Railway Bridge (외부 후 긴장된 무도상 철도 판형교 동적 거동)

  • Park, Yong Gul;Park, Young Hoon;Choi, Dong Ho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.3A
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    • pp.315-322
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    • 2008
  • The present study applied the external post tensioning reinforcement method for reinforcing a non-ballast steel plate girder railway bridge, and the effects of the strength of tendons and the level of post-tensioning force on the dynamic behavior are experimented and analyzed. According to the results of this study, the natural frequency was increased by the strength of tendons but it was decreased by the rise of post-tensioning force and as a consequence the introduction of post-tensioning force decreased natural frequency slightly. It was analyzed that further study is need to establish the exact relations between post-tensioning force and natural frequency. In addition, it was found that the dynamic displacement, dynamic bending stress and vertical acceleration were decreased by the external post-tensioning. On the other hand, external post-tensioning increased horizontal acceleration by up to 20%, which was around 70% of vertical acceleration. This needs further study.

Free Vibration Characteristics of a Composite Beam with Multiple Transverse Open Cracks (다중 크랙이 있는 복합재료 보의 자유진동 특성)

  • 하태완;송오섭
    • Composites Research
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    • v.13 no.3
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    • pp.9-20
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    • 2000
  • Free vibration characteristics of a cantilevered laminated composite beam with multiple non-propagating transverse open cracks are investigated. In the present analysis a special ply-angle distribution referred to as asymmetric stiffness configuration inducing the elastic coupling between chord-wise bending and extension is considered. The multiple open cracks are modelled as equivalent rotational springs whose spring constants are calculated based on the fracture mechanics of composite material structures. Governing equations of a composite beam with open cracks are derived via Hamilton's Principle and Timoshenko beam theory encompassing transverse shear and rotary inertia effect is adopted. The effects of various parameters such as the ply angle, fiber volume fraction, crack numbers, crack positions and crack depthes on the free vibration characteristics of the beam with multiple cracks are highlighted. The numerical results show that the existence of the multiple cracks in an anisotropic composite beam affects the free vibration characteristics in a more complex fashion compared with the beam with a single crack.

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Dynamic Characteristics of Composite Thin-Walled Beams with a Chord wise Asymmetric Cross-Section: I. Single-Cell (시위 방향 비대칭 단면의 복합재료 박벽보의 동특성 연구: I. 단일-셀)

  • Kim, Keun-Taek
    • Journal of Aerospace System Engineering
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    • v.12 no.6
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    • pp.41-49
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    • 2018
  • In this study, the theoretical dynamic characteristics of a thin-walled composite beam with a single-cell of chordwise asymmetric cross-section was studied. Mathematical modeling was done by considering the transverse shear effects, the warping restraint effects, the constant taper ratio in the longitudinal direction of the beam, and the geometrical cross-section ratio. The mass coefficients, stiffness coefficients, and Eigen frequencies of the selected section were investigated. In particular, the effects of the taper ratio and cross-section ratio of the model on the Eigen frequencies were analyzed and compared when the asymmetry of the section was considered and the warping function was not corrected.