• 제목/요약/키워드: Natural Modes

검색결과 692건 처리시간 0.027초

영향계수의 전달에 의한 환원판이 결합된 원추형 셸의 진동해석 (Vibration Analysis of Conical Shells with Annular Plates Using Transfer of Influence Coefficient)

  • 최명수;여동준
    • 동력기계공학회지
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    • 제19권5호
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    • pp.52-59
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    • 2015
  • This paper is presented for the free vibration of a conical shell with annular plates or circular plate using the transfer of influence coefficient. The governing equations of vibration of a conical shell, including annular plate, are written as a coupled set of first order differential equations by using the transfer matrix of the shell. Once the transfer matrix of a single component has been determined, the entire structure matrix is obtained by the product of each component matrix and the joining matrix. The natural frequencies and the modes of vibration were calculated numerically for joined conical-annular plates. The validity of the present method is demonstrated through simple numerical examples, and through comparison with the results of finite element method, transfer matrix method and ANSYS. The conclusion show that the present method can accurately obtain natural vibration characteristics of the conical shell with annular or circle end plates.

섹터해석법을 이용한 타이어의 동특성 해석 (Dynamic Analysis of the Tire by Sector Method)

  • 이인원;김동옥;김항우;정상우
    • 대한기계학회논문집
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    • 제19권9호
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    • pp.2173-2180
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    • 1995
  • This paper presents free vibration analysis method using the characteristics of the rotationally periodic structures and includes the analysis results of a tire as an example. The normal modes of the rotationally periodic structures are the kind of standing waves, so all sectors have the same deflection shapes, and only different phases. This property makes it possible to derive the analysis method called sector method. The sector method can give the accurate natural frequencies and the corresponding mode shapes of the rotationally periodic structure with information of only one sector. When the free vibration analysis is performed to find the dynamic characteristics of the rotationally periodic structure by using the sector method, the computer memory spaces and the CPU times can be saved. We obtained much economic benefits by using the sector method in the analysis of dynamic characteristics of a tire made of non-linear materials.

원자력발전소용 전자기기함을 위한 내진검증 해석 모델 개발연구 (Development of Model for Seismic Qualification of Electronic Enclosure for Nuclear Power Plant)

  • 서욱환
    • 대한기계학회논문집A
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    • 제35권1호
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    • pp.47-52
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    • 2011
  • 이 논문은 내진검증을 수행하기 위한 유한요소 모델의 개발에 대하여 논의한다. 모델개발에 사용된 기기는 미국의 아칸사스 원자력 발전소의 전자기기 함으로써 유한요소해석 모델개발 과정을 보여준다. 증명된 모델은 진동수 50Hz 이하의 모든 주요모드에서 고유진동수가 5% 이내의 정확치를 가져온다. 유한요소모델은 질점질량과 강성도 방법을 사용한 COSMOSM 이라는 소프트웨어를 채용하여 수학적 모델의 eigenvalue 해석 및 동적해석이 수행되었다. 이 모델은 지정된 하중조건에서 AISC에서 규정한 허용응력치 이하를 나타내었다. 이모델에서 얻는 값들은 참고문헌에서 나타내는 내진 규정에 잘 부합하였다.

고유진동수의 실험값을 사용한 복합재 적층판의 동적 모델링 개선 (Dynamic model updating of the laminated composite plate using natural frequencies measured from modal test)

  • 홍단비;유정규;박성호;김승조
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1998년도 춘계학술대회논문집; 용평리조트 타워콘도, 21-22 May 1998
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    • pp.340-346
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    • 1998
  • In order to improve the prediction of dynamic behavior in structures, several lower vibration modes from FFT analysis through experiments are used to update the mechanical properties followed by the updated frequencies from numerical analysis. Performance index consists of the sum of error norms between the chosen frequencies and corresponding frequencies from numerical analysis. As an updating process of the natural frequencies, the optimization algorithm based on conjugate gradient method is adopted. The gradient of performance index is calculated using the sensitivity of selected eigenvalues with respect to each design parameter. The mechanical properties of lamina, E$\_$l/, E$\_$2/, .nu.$\_$12/ and G$\_$12/, are design parameters for the updating process. The proposed method is applied to predict the dynamic behavior of composite laminated plates of [0]$\_$8T/ and [.+-.45]$\_$2S/ separately or interchangeably. Also, the mixed case for [0]$\_$8T/ and [.+-.45]$\_$2S/ is exarm'ned to check the possibility for the improved prediction generally. The good agreement is obtained between the measured frequencies and the numerical ones. Based on the results for all the cases studied, the proposed approach has a clear potential in characterizing the mechanical properties of composite lamina.

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직사각형 평판의 비선형 진동 (Non-linear Vibration of Rectangular Plates)

  • Chang, Seo-Il;Lee, Jang-Moo
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1994년도 추계학술대회논문집; 한국종합전시장, 18 Nov. 1994
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    • pp.35-39
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    • 1994
  • One of the important characteristics of the response of nonlinear systems is the existence of subharmonic resonances. When some conditions in parameter space are satisfied. It is possible even in the presence of damping for a periodically excited nonlinear system to possess a response which is the combination of a contribution at the excitation frequency and a component at the system natural frequency. The system natural frequency being a submultiple of the excitation frequency implies that the resulting response is a subharmonic oscillation. In general, there also co-exists, for the system, a response at the excitation frequency, and initial conditions determine which of the steady-state responses is achieved in an experiment or a numerical simulation. In single-degree-of-freedom systems with harmonic excitation, depending on the type of the nonlinearity, e.g., cubic or quadratic the frequency of subharmonic response is respectively, one-third or one-half of that of the excitation frequency. Although subharmonic resonance is one of the principal characteristics of a nonlinear system the subharmonic responses of structures in the presence of internal resonances have been studied very rarely. In this work, we consider subharmonic responses in the two-mode approximation of the plate equations. It is assumed that the two modes are in one-to-one internal resonance. Constant and periodic steady-state solutions of the averaged equations are studied. Finally, the results of direct time integration of the original equations of motion are presented and compared with those obtained from the averaged equations.

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Mindlin판 특성함수를 이용한 직사각형 후판의 진동해석 (Vibration Analysis of Rectangular Thick Plates Using Mindlin Plate Characteristic Functions)

  • 이종문;김극천
    • 대한조선학회논문집
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    • 제33권2호
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    • pp.85-95
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    • 1996
  • 직사각형 Mindlin판 유추계의 고유진동 및 동적응답의 해석에 대하여 종래의 방법들 보다 정확도 및 계산효율을 향상시킬 수 있는 방법을 추구하였다. Mindlin 판이론에 입각하여 탄성구속경계조건에 대해 정식화 하고, Timoshenko 보함수로부터 시작하는 Kantorovich 방법을 원용하여 Mindlin 판특성함수를 도출했다. 이 Mindlin판 특성함수에 기초하여 등방성후판 및 직교이방성후판에 대해서 반복적 Kantorovich 방법에 의해 고유해를 구하는 방법을 제시했다. 이 방법은 정확도 및 계산효율면에서 종래의 다른 근사해법보다 그 우월성이 인정되며, 특히 중복고유치를 갖는 경우 명확한 고유치 및 고유모드를 얻을 수 있다. 또 모드해석방법에 의한 동적응답계산에 있어서도 보다 더 정확한 결과를 얻을 수 있다.

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실리카 및 카본블랙이 충전된 천연고무 가황물에서 배합방법이 파열특성에 미치는 영향 (Effects of Mixing Mode on the Fracture Properties of Silica and Carbon Black Filled NR Vulcanizates)

  • 박성수;박병호;송기찬;김수경
    • 폴리머
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    • 제24권2호
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    • pp.220-227
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    • 2000
  • 충전물의 함량비 및 배합방법을 달리하여 실리카/카본블랙 충전 천연고무 가황물을 제조하였다. 충전물의 함량은 고무에 대해 70 phr이 되도록 하였으며, 이들을 동시에 배합하여 제조한 가황물과 실리카를 먼저 배합하고 일정 시간 경과 후 카본블랙을 배합하여 제조한 가황물의 가황특성, 모폴로지, 그리고 인열특성 및 크랙성장속도 등의 파열특성을 비교하였다. 가공시, 단계배합물은 동시배합물보다 경화 속도($t_{90}$ )는 약간 느렸으나, 긴 유도시간($t_2$), 낮은 최대 토오크 값($T_{max}$ )을 보였다. 단계 배합물은 인열특성 및 크랙성장 특성에 있어서도 상대적으로 우수함을 보였으며, 실리카의 함량이 30 phr인 경우에 가공성 및 파열 특성이 가장 우수하였다.

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노즐 경사각을 고려한 이동질량을 가진 유체이송 외팔 파이프의 동특성 해석 (Dynamic Characteristics of Cantilever Pipe Conveying Fluid with Moving Mass Considering Nozzle Angle)

  • 윤한익;손인수;김현수;조정래
    • 한국해양공학회지
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    • 제16권6호
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    • pp.18-24
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    • 2002
  • The vibrational system in this study consists of a cantilever pipe conveying fluid, the moving mass upon it, and an attached tip mass. The equation of motion is derived by using the Lagrange equation. The influences of the velocity and the velocities of fluid flow in the pipe have been studied on the dynamic behavior of a cantilever pipe using a numerical method. While the moving mass moves upon the cantilever pipe, the velocity of fluid flow and the nozzle angle increase; as a result, the tip displacement of the cantilever pipe, conveying fluid, is decreased. After the moving mass passes over the cantilever pipe, the tip displacement of the pipe is influenced by the potential energy of the cantilever pipe and the deflection of the pipe; the effect is the result of the moving mass and gravity. As the velocity of fluid flow and nozzle angle increases, the natural frequency of he system is decreased at the second mode and third mode, but it is increased at the first mode. As the moving mass increases, the natural frequency of the system is decreased at all modes.

유체로 연성되고 두께가 상이한 두 직사각 평판의 실험적 모드 해석 (Experimental Modal Analysis of Two Unequal Rectangular Plates Coupled with Fluid)

  • 유계형;정경훈;이성철
    • 대한기계학회논문집A
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    • 제26권12호
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    • pp.2541-2549
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    • 2002
  • In order to study the vibration characteristics of fluid-structure interaction problem, two rectangular plates coupled with bounded fluid were investigated. Experimental modal analyses were carried out to extract the modal parameters of the system. Additionally. finite element modal analyses performed using a commercial computer code, ANSYS. The FEM solutions were compared with the experimental solutions to verify the finite element model. As a result, the comparison between the experiment and FEM results showed excellent agreement. The transverse vibration modes, in-phase and out-of-phase, were observed alternately in the fluid-coupled system. The thickness effect of the plates on the fluid-coupled natural frequencies and mode shapes was investigated for two different cases with the identical thickness and the unequal thickness. It was found that the coupled natural frequencies increase with the thickness for the identical plates regardless of the mode phase. The experimental and the finite element analysis results showed that the out-of-phase mode shapes were deviated from the symmetrical mode shapes in the plate transverse direction fur the unequal plate thickness case.

물로연성된 두 직사각평판의 접수진동에 대한 수위의 영향 (Effect of Water Level on the Hydroelastic Vibration of Two Rectangular Plates Coupled with Water)

  • 유계형;권대규;정경훈;이성철
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 춘계학술대회
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    • pp.839-844
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    • 2003
  • The effect of water level on the free vibration of a partially water-filled two rectangular plates structure was investigated by experimental modal analysis and finite element analysis using ANSYS computer program. Modal parameters of two rectangular plates coupled with water were obtained by means of experiment and the FEM solutions were compared with the experimental solutions to verify the finite element model. As a result, the comparison between the experiment and FEM results showed excellent agreement. The transverse vibration modes, in-phase and out-of-phase, were observed alternately in the fluid-coupled system. The effect of water level and water gap size on the fluid-coupled natural frequency were investigated. It was found that the natural frequency of the partially water-filled two rectangular plates are not proportional to the water level, but depend on mode number of plates.

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