• Title/Summary/Keyword: 고유 진동모드

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Damage Assessment and Aseismic Capacity Evaluation of Existing Structures (기설구조물의 손상도 및 내진능력 평가방법)

  • 윤정방;송종걸;김유진
    • Computational Structural Engineering
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    • v.11 no.3
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    • pp.199-212
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    • 1998
  • 본 연구에서는 기설구조물에 대한 손상도 추정기법과 내진능력평가 방법에 대하여 연구하였다. 구조물의 손상도를 추정하는 방법으로는 소수의 계측 데이터를 이용한 모드섭동법(inverse modal perturbation)을 이용하였다. 구조물의 손상은 강성행렬의 감소로 표현하여, 각 요소행렬에 대한 손상을 손상지수를 사용하여 나타내었다. 구조적 손상과 이에 기인한 고유진동 특성의 변화량과의 관계를 섭동방정식으로부터 구한 후, 이로부터 손상지수와 고유진동 특성의 변화량과의 관계를 유동하였다. 따라서 손상 전과 후에서 구조물의 고유진동수와 모드형상을 측정하여 섭동식의 해를 구함으로써 구조물의 강성행렬의 감소로 나타나는 구조물의 손상도를 추정하게 된다. 손상도 추정에 의해 평가된 강성의 변화량에 기인한 손상 후의 기설구조물의 지진응답, 내진능력과 지진손상도의 평가를 손상전과 비교하였다. 내진능력은 구조부재에서 회전연성도 능력의 경험식을 이용하여 평가하였고, 지진손상도의 평가는 가장 많이 사용되는 방법인 Park & Ang 방법을 사용하였다. 예제해석은 다른 지진하중을 받는 2층과 8층의 예제구조물에 대해서 수행하였다.

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Forced Vibration Testing of a Four-Story Reinforced Concrete Frame Building (철근콘크리트조 4층 골조건물의 강제진동실험)

  • Yu, Eun-Jong;Wallace, John W.
    • Journal of the Earthquake Engineering Society of Korea
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    • v.11 no.2 s.54
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    • pp.27-38
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    • 2007
  • A series of forced vibration tests and ambient vibration measurement was conducted on a four-story reinforced concrete building damaged in the 1994 Northridge earthquake. Both low amplitude broadband and moderate amplitude harmonic excitation were applied using a linear shaker and two eccentric mass shakers, respectively, and ambient vibrations were measured before and after each forced vibration test. Accelerations, interstory displacements, and curvature distributions were monitored using accelerometers, LVDTs and concrete strain gauges. Natural frequencies and the associated mode shapes fur the first 7 modes were identified. Fundamental frequencies determined from the eccentric mass shaker tests were 70% to 75% of the values determined using ambient vibration data, and 92% to 93% of the values determined using the linear shaker test data. Larger frequency drops were observed in the NS direction of the building, apparently due to damage that was induced during the Northridge earthquake.

FRF Analysis of a Vehicle Passing the Bump Barrier (둔턱 진행 차량의 주파수응답 분석)

  • Kim, Jong-Do;Yoon, Moon-Chul
    • Journal of Convergence for Information Technology
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    • v.12 no.3
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    • pp.151-157
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    • 2022
  • The purpose of this study was to investigate the frequency characteristics of forced vibration considering the vehicle progress. And the vibration characteristics in frequency domain that occur, when vehicle passes the bump, were analyzed. The responses such as displacement, velocity and acceleration were obtained through numerical analysis, and FFT processing was performed to analyze the frequency response function(FRF) characteristics. In particular, the location of vehicle eigenmodes and external excitation modes was clearly shown and analyzed. In the forced vibration model by external force, the behavior of the eigenmode in power spectrum and real and imaginary parts were also analyzed. The mode characteristics were also analyzed in each FRF. It was approximated by assuming total excitation force by considering the exciting frequency using impulse and sine wave forces, which can give the amplitude and frequencies. The response characteristics of forced oscillations having different mass, damping and stiffness have been systematically discussed.

The Applications of Viscoelastic Dampers for Vibration control (고층건물의 진동제어를 위한 점탄성 감쇠기의 활용)

  • 김진구;홍성일;이경아;이동근
    • Journal of the Earthquake Engineering Society of Korea
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    • v.4 no.1
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    • pp.77-88
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    • 2000
  • 복소모드 중첩법은 점탄성 감쇠기가 설치된 비비례 감쇠시스템의 정확한 동적 거동을 예측할 수 있는 방법이지만 많은 자유도를 갖는 고층건물의 해석시 고유치 해석과 모드중첩과정에서 많은 시간과 노력이 필요하게 된다. 본 논문에서는 효율적인 모형화를 위하여 강막가정과 행렬응축기법을 적용하고 구조물의 진동에 영향을 주는 주요모드의 선택을 위한 복소모드 응답참여계수를 제안하므로써 복소모드 중첩법의 효율성은 높였다. 또한 비비례 감쇠시스템에서 감쇠를 고려하여 응답스펙트럼을 재구성한후 선택된 주요 모드를 중첩하여 최대층간변위가 발생하는 곳에 감쇠기를 설치하였다 이 방법은 감쇠기가 설치된 구조물에 대하여 만족되는 수준의 최대층간변위가 발생할 때 까지 고유치 해석만을 반복.수행하면서 감쇠기를 연속적으로 설치하는 방법이다. 제안된 방법의 정확성과 효율성을 검토하기 위하여 예제 구조물의 대상으로 해석한 결과 응답의 정확성을 유지하면서 해석에 필요한 시간을 대폭 절감할 수 있었다.

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Calculation of Deflection Using the Acceleration Data for Concrete Bridges (가속도 계측 자료를 이용한 콘크리트 교량의 처짐 산정)

  • Yun, Young Koun;Ryu, Hee Joong
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.15 no.5
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    • pp.92-100
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    • 2011
  • This paper describes a numerical modeling for deflection calculation using the natural frequency response that is measured acceleration response for concrete bridges. In the formulation of the dynamic deflection, the change amounts and the transformed responses about six kinds of free vibration responses are defined totally. The predicted response can be obtained from the measured acceleration data without requiring the knowledge of the initial velocity and displacement information. The relationship between the predicted response and the actual deflection is derived using the mathematical modeling that is induced by the process of a acceleration test data. In this study, in order to apply the proposed response predicted model to the integration scheme of the natural frequency domain, the Fourier Fast Transform of the deflection response is separated into the frequency component of the measured data. The feasibility for field application of the proposed calculation method is tested by the mode superposition method using the PSC-I bridges superstructures under several cases of moving load and results are compared with the actually measured deflections using transducers. It has been observed that the proposed method can asses the deflection responses successfully when the measured acceleration signals include the vehicle loading state and the free vibration behavior.

Effects of Curved Pipe Geometry and Inside Fluid Flow on the Vibrational Characteristics of Pipe Systems (배관의 형상 및 내부유체 유동이 배관계의 진동특성에 미치는 영향)

  • Choi, Myung-Jin
    • Journal of the Korean Institute of Gas
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    • v.20 no.6
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    • pp.58-64
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    • 2016
  • Vibrational characteristics of curved pipe structures are investigated with respect to the change of inside flow velocities. Based upon the Hamilton's principle, the equations of motions are derived, and the finite element equation is constructed to solve the frequency equation for curved pipe structures. When the initial tension is neglected in cured pipes, the natural frequencies are reduced as flow velocity increases, and the rapid decreases of the natural frequencies take place. However, when the initial tension is taken into account, the natural frequencies are not changed with the change of the flow velocity. In free vibrational simulation of pipe systems, it is necessary to calculate the initial force due to the velocity and the pressure of the fluid flow from the equilibrium. The force should be included in the equation of motion of the systems to get more accurate natural frequencies. The mechanical properties like stiffness or the location of pipe support need to be changed to avoid resonance. The natural frequencies are to be isolated from the frequency range of dominant vibration modes. The angles of elbows do not affect the change of the fundamental natural frequency, but affect the change of the third or higher natural frequencies.

Damage detection of a frame structure using FE Model Updating (유한요소모델개선기법을 이용한 골조구조물의 손상탐지)

  • Yu, Eun-Jong;Kim, Seung-Nam;Lee, Hyun-Kook;Choi, Hang
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2009.04a
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    • pp.213-216
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    • 2009
  • 유한요소모델개선기법은 계측된 동특성을 모사하는 구조해석모델을 구하는 방법으로서 손상탐지 및 구조건전도감시를 위해 효과적으로 이용될 수 있다. 유한요소모델개선기법에는 다양한 종류의 동특성데이터가 사용될 수 있는데, 본 연구에서는 고유진동수와 모드형상을 사용한 경우와 고유진동수와 주파수응답함수를 사용한 경우를 각각 사용해 실험실 규모의 구조물의 손상 위치 및 손상정도를 추정하였다. 4층 철골조의 골조구조물로서 진동대를 이용하여 원구조물에 백색잡음 가진실험을 실시한 후 손상의 모사를 위해 1층 부분의 보 부재를 작은 단면의 부재로 교체하고 동일한 실험을 반복하였다. 보 부재 교체 전 후에 계측된 데이터와 두 종류의 모델개선기법을 각각 적용하여 손상탐지를 실시한 후 그 정확도를 분석하였다.

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Dynamic Characteristics of Seohae Cable-stayed Bridge Based on Long-term Measurements (장기계측에 의한 서해대교 사장교의 동특성 평가)

  • Park, Jong-Chil;Park, Chan-Min;Kim, Byeong-Hwa;Lee, Il-Keun;Jo, Byung-Wan
    • Journal of the Earthquake Engineering Society of Korea
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    • v.10 no.6 s.52
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    • pp.115-123
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    • 2006
  • This paper presents long-term dynamic characteristics of a cable-stayed bridge where installed SHM (Structural Health Monitoring) system. Modal parameters such as natural frequencies and mode shapes are identified by modal analysis using three dimensional finite element model. The developed baseline model has a good correlation with measured natural frequencies identified from field ambient vibrations. By statistical data processing between measured natural frequencies and temperatures, it is demonstrated that the natural frequency is in linearly inverse proportion to the temperature. The estimation of temperature effects against frequency variations is performed. Mode shapes are identified from the TDD (Time Domain Decomposition) technique for ambient vibration measurements. Finally, these results demonstrate that the TDD method can apply to identify modal parameters of a cable-stayed bridge.

An Analysis of the Vibrational Modes for a Rectangular Plate by Using the Double Fourier Sine Series Method (이중 사인 시리즈법에 의한 직사각형 평판의 진동모드 해석)

  • 고영준;남효덕;장호경
    • The Journal of the Acoustical Society of Korea
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    • v.18 no.7
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    • pp.39-44
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    • 1999
  • An analysis of the frequency parameters and vibrational modes is described for a rectangular plate. Double Fourier sine series is used as a modal displacement functions of a rectangular plate and applied to the free vibration analysis of a rectangular plate under various boundary conditions. The frequency parameters obtained by the double Fourier sine series method are compared with those obtained by the theory of finite element method and Ritz method. Frequency parameters are presented for the various aspect ratios for plate. The first four modal shapes for the rectangular plate under various boundary conditions are accurately described.

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