• Title/Summary/Keyword: 자유진동응답

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Identification of Viscous and Friction Damping Using Free Vibration Response to SDOF System (단자유도계의 자유진동응답을 이용한 점성 및 마찰감쇠의 식별)

  • Lee, Sung-Kyung;Lee, Woong-Gu
    • The Journal of the Convergence on Culture Technology
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    • v.5 no.3
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    • pp.305-310
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    • 2019
  • This paper proposes the method of exactly identifying both viscous and friction damping from free vibration response to SDOF structure. Both displacement and acceleration free vibration responses to SDOF system, in which both viscous and friction damping are considered as its damping mechanism, are discussed to verify the proposed method. The relationship for identifying both viscous and friction damping is derived from two consecutive amplitudes of displacement or acceleration peak response. The proposed method is verified through the numerical simulation for an assumed SDOF system consisting of mass, both viscous and friction damping and spring components.

Equivalent Damping Ratio of a SDOF Structure Combined with Coulomb and Viscous Damping (점성 및 마찰감쇠가 있는 단자유도 구조물의 등가감쇠비)

  • Seong, Ji-Young-Suck;Min, Kyung-Won
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2010.04a
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    • pp.449-453
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    • 2010
  • 본 논문에서는 점성 및 감쇠가 있는 단자유도 구조물의 등가감쇠비를 효율적으로 구하는 방법을 제시하였다. 건물에 설치된 마찰감쇠기는 외력의 크기에 따라 정지와 운동의 상태를 반복하여 외부 입력에너지를 소산시키기 때문에 외력과 응답관계가 비선형이다. 마찰감쇠기가 설치된 단자유도 건물은 마찰감쇠기외에 점성감쇠가 동시에 존재하므로 해석적인 정해를 구하기가 어렵다. 등가감쇠비를 산정하기 위해서 첫째, 점성과 마찰감쇠가 있는 단자유도계 건물의 자유진동 정해를 통하여 변위응답과 가속도 응답특성을 분석하였다. 둘째, 자유진동의 경우 응답이 멈출 때까지 소산에너지식을 이용하여 등가점성감쇠비를 구하였다. 셋째, 조화가진 일 때는 수치해석을 통하여 마찰력비 $F_r$에 따른 응답 특성을 알아보았다. 넷째, 조화가진의 경우 에너지 균형식을 바탕으로 등가점성감쇠비를 유도하였다. 등가점성감쇠비는 변위응답비의 영향을 받으므로 응답을 알아야만 구할 수 있다. 건물 응답의 진동수 특성은 협소영역(narrow band)이므로 고유진동수에 의해 지배된다고 가정하여 등가점성감쇠비를 구하였다. 마지막으로, 유도한 자유진동과 조화가진의 등 가점성감쇠비를 이용한 등가선형운동방정식의 해를 비선형 수치해석 한 결과와 비교하여 검증하였다.

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Closed-Form Solutions to Free Vibration Response of Single Degree of Freedom Systems with Coulomb Friction (쿨롱마찰을 갖는 단자유도계의 자유진동응답에 관한 닫힌 해)

  • Lee, Sung-Kyung
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.33 no.1
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    • pp.9-16
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    • 2020
  • The objective of this study is to propose closed-form solutions to the free vibration response of single-degree-of-freedom (SDOF) systems, as part of fundamental research on dynamic systems with Coulomb friction. The motion of a dynamic system with Coulomb friction is described by a nonlinear differential equation, and, due to the variation in the sign of friction force term with the direction of motion, it is difficult to obtain the closed-form solution. To solve this problem, the nonlinear differential equation is directly computed by numerical integration, or an approximated solution is indirectly obtained using a linear differential equation wherein the damping effect due to Coulomb friction is replaced by an equivalent viscous damping term. However, these conventional methods do not provide a closed-form solution from a mathematical point of view. In this regard, closed-form solutions to the free vibration response of SDOF systems with Coulomb friction are derived herein by considering that the sign of the friction force term is reversed in each half-cycle of motion and by expanding it to the entire time history using the power series function. In addition, for a given initial condition, both the number of free vibration half-cycles and the response at the instant when free vibration motion stops are predicted under the condition that the motion of free vibration is stopped when the amplitude of the friction force is higher than that of the restoring force due to stiffness.

Free Vibration Responses of Composite Plates Subjected to Transverse Magnetic and Thermal Fields (자기장 및 열하중을 받는 복합재료 판의 자유진동응답)

  • Kim, Sung-Kyun;Choi, Jong-Woon;Kim, Young-June;Park, Sang-Yun;Song, Oh-Seop
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2011.10a
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    • pp.136-142
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    • 2011
  • The equations of motion for composite plates incorporating magneto-thermo-elastic effects have been derived via Hamilton's principle. In order to get the insight into the implications of a number of geometrical and physical features of the system, the vibrational responses of finite composite rectangular plates immersed in a transversal magnetic field are investigated by applying the extended Galerkin method. The vibration response characteristics of a composite plate are exploited in connection with the magnetic field intensity, thermal load, and electric conductivity of fibrous composite materials. Some pertinent conclusions, which highlight the various effects induced by the magneto-thermo-elastic couplings, are outlined.

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Ground Vibration Tests of SmartUAV Airframe Structure (스마트무인기 기체구조물 지상진동시험)

  • Jeon, Byoung-Hee;Kang, Hui-Won;Lee, Jung-Jin;Lee, Young-Shin
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.38 no.5
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    • pp.482-489
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    • 2010
  • This paper describes the test procedure, instrumentation, verification methodology and the results of the ground vibration test(GVT) and force vibration test(FVT) of the SmartUAV aircraft to estimate experimentally dynamic characteristics of the aircraft. Bungee cords are used to emulate free-free boundary conditions of the test aircraft. The SmartUAV is excited by three shakers and one-hundred frequency response functions(FRF's) is measured. The FRF's are reduced and analyzed to identify the dynamics parameters of the SmartUAV. To extract modal parameters of the SmartUAV such as, natural frequencies and damping ratios, the poly-reference least square complex exponential method is used in the time domain. The mode shape coefficients are estimated with the least squares frequency domain method to identify the vibration modes. The FVT was performed by fixed sine frequency with three shakers on the x, y and z direction and vibration characteristics of structures and detail equipments are measured.

Calculating Method of FRF with Sub-structure Mode Synthesis Method (부분구조 모드합성법에 의한 주파수응답함수 산출법)

  • Oh, Chang-Guen;Park, Kyung-Il;Park, Sok-Chu
    • Journal of Advanced Marine Engineering and Technology
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    • v.39 no.4
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    • pp.393-398
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    • 2015
  • A very important part in vibration analysis is to calculate the frequency response function (FRF). In general, a large sized or/and complicated structure has many thousands to millions of degrees. Therefore, the FRF cannot be calculated by the traditional analysis method using an inverse matrix. This paper presents a new FRF calculation method of a superstructure by synthesizing sub-structure modes, of which the DOF can be deduced by partitioning into some sub-structures. To confirm its analysis results, the method was applied to an assembled plate ($B300{\times}L900{\times}t5mm$) with three diagonal sub-plates($B300{\times}L300{\times}t5mm$) in series and compared with the measured data. The test results have were comparable those of the calculated ones with an error less than 5%.

Hyperelement를 사용한 축대칭 구조물의 지진 응답 해석

  • 장승필;김재관;전병무
    • Proceedings of the Korean Nuclear Society Conference
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    • 1995.05b
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    • pp.999-1004
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    • 1995
  • 본 논문에서는 현재 수행 중인 Hualien 대형내진모델시험 프로젝트의 연구 과제 중의 강제 진동 해석 및 지진 응답 해석을 수행하기 위계서 Hyperelement를 사용한 지반-구조물 상호작용 해석에 대한 절차 및 방법을 연구하였다. Hualien 대형내진모델시험에서 이미 수행된 뒷채움 후 강제 진동 시험의 예 측 및 예측후 해석을 수행하였고, 지진 응답 해석을 위해서는 Hualien부지에서의 자유장해석을 통하여 입력 지반 운동을 결정하여 구조물에서의 지진 응답을 구하였다.

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Floor Response Spectra with Structure-Equipment Interaction Effects by a Random Vibration Approach (주구조물과 설비의 상호작용을 고려한 층 응답스펙트럼의 추계론적 작성법)

  • Yun, Chung Bang;Son, Eun Jin
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.11 no.1
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    • pp.37-43
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    • 1991
  • An efficient method for generating floor response spectra with the structure-equipment interaction effects is proposed. Floor response spectra are computed from a prescribed ground response spectrum by a random vibration approach. Transfer function of equipment response for earthquake excitation is constructed directly from the modal properties of the individual structures. The method also can account for the nonproportional damping characteristics of the combined system.

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장비 자체 가진력에 의한 방진대의 과도응답 진동제어

  • Son, Seong-Wan;Jeon, Jong-Gyun;Lee, Heung-Gi;Lee, Gyu-Seop
    • Proceedings of the Korean Society Of Semiconductor Equipment Technology
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    • 2007.06a
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    • pp.29-33
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    • 2007
  • 최근의 반도체/display 관련 생산장비 및 검사장비들이 대형화/고속화 되어감에 따라 과거 stepping 방식에서 scanning 방식으로 전환된 장비들이 공정 상에 발생하는 과도응답 형태의 진동으로 인하여 제품 수율의 저하와 생산 효율의 감소를 가져오고 있다. 이러한 과도응답의 진동은 장비 자체의 가진력으로부터 발생하므로 건물 구조의 동강성 증대 방안이나 고효율의 방진 시스템 적용으로는 한계를 가지고 있다. 본 논문에서는 smart 재료인 MR유체를 이용한 MR damper를 이용하여 방진효율을 유지하면서 과도응답의 진동을 제어하기 위한 반 능동제어 방식의 방진/제진 시스템을 구성하였으며, 시스템 해석과 제어 시스템의 구성을 위하여 6자유도 강체 진동에 대한 운동방정식을 고려하였다.

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Updating of Finite Element Model using Frequency Response Function (주파수 응답함수를 이용한 유한요소모델의 개선)

  • 서상훈;지태한;박영필
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1995.10a
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    • pp.233-238
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    • 1995
  • 주파수 응답함수를 직접 이용하는 응답함수 방법을 이용하여 8자유도계, 보, 그리고 보구조물의 모의실험과 실험을 통해 다음과 같은 결론을 얻었다. 첫째, 잡음이 혼입된 경우도 데이타를 취하는 주파수 점의 개수를 늘려줌으로써 정확한 결과를 얻는 것이 가능하다. 둘째, 실제 보에 대해서 유한요소모델의 개선을 행하여 실험과 일치하는 결과를 얻을 수 있다. 세째, 볼트로 체결된 보구조물에 대해 유한요소모델의 개선을 통한 결합부의 동정을 통해 실험과 더 잘 일치하는 유한요소모델을 얻을 수 있다.

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