• Title/Summary/Keyword: 비공진 진동

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Theoretical investigation of vibrational characteristics of a multi-layered piezoelectric element for ultrasonic transducers (초음파 탐촉자용 다층 압전접합체의 진동특성에 관한 이론적 해석)

  • Jang Hwan Soo;Roh Yongrae
    • Proceedings of the Acoustical Society of Korea Conference
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    • spring
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    • pp.383-386
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    • 1999
  • 본 연구에서는 공중용 초음파 센서에 많이 사용되고 있는 원판형 압전소자, 정합층, 그리고 후면충, 세 부분으로 이루어진 다층 접합체의 진동 특성을 기계적 진동 방정식을 이용하여 이론적으로 해석하였으며, 해석결과의 타당성을 유한요소 해석방법을 사용하여 검증하였다. 본 연구의 해석 방법은 다층 판, 특히 압전세라믹과 정합층으로 이루어진 2층과 후면층이 추가된 3층에 대한 진동 방정식에 적절한 경계 조건 및 수렴조건을 적용하여 고유진동 주파수를 유도하였다. 그리고 이를 이용하여 초음파 탐측자 개발 시 널리 사용되고 있는 설계변수 즉, 각 층의 반경, 두께, 밀도, 그리고 영률의 변화에 대한 공진주파수의 변화 경향을 분석하였다. 공진주파수 변화 경향에 대한 이 해석 방법의 타당성을 널리 사용되고 있는 유한 요소해석법을 사용하여 검증한 결과, 두 해석결과는 좋은 일치를 보였다. 그러므로 본 연구의 결과는 종래의 등가회로나 유한요소 해석법에 비해 더 간편하고, 더 정확한 해석결과를 제공할 수 있는 해석도구로써 이용될 수 있을 것이다.

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Vertical Vibration of Rigid Circular Footings on Sand (사질토(砂質土) 위에 놓인 강성(剛性) 원형기초(圓形基礎)의 수직진동(垂直振動))

  • Kim, Soo Il;Min, Tuk Ki
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.5 no.3
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    • pp.127-136
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    • 1985
  • A simplified single degree of freedom analog with mass-spring-dashpot is proposed in this study. The simplified analog can describe the dynamic behavior of a rigid circular footings whose contact pressures are parabolic. The analog proposed in this study shows remarkable agreement when compared with the elastic half-space theory the analog is also compared with vertical vibration test results of model concrete footings. For the vibration experiments, 11 circular footings with different mass ratio are constructed. The elastic half-space is represented by compacted sand layer. A constant force excitation vibrator is used for the dynamic loading. The frequency range for vibration tests is 30 to 100 Hz. From the dynamic experiments, it is found that the measured resonant frequencies agree very well with the analog results, however, the ratio of theoretical and measured resonant amplitudes vary between 0.5 and 1.7. It is also found that, when the dynamic force is increased, the resonant frequency is decreased slightly and the resonant amplitude is increased slightly.

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Four-Parameter Study on the Jet Regurgitnant Mode of Resonant Tube (공진 관의 토출 모드에 대한 네 가지 매개 변수 연구)

  • Chang Se-Myong;Lee Soogab
    • Proceedings of the Acoustical Society of Korea Conference
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    • autumn
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    • pp.255-258
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    • 2000
  • 초음속 유동장 내에 설치된 끝이 막힌 관에 의해 발생하는 공진 현상에는 스크리치 모드 (jet screech mode)와 토출 모드 (jet regurgitant mode)가 있다 이중 토출 모드는 원리상 음향학적 공진과 밀접한 관련이 있다. 본 연구에서는 경계 조건으로, 주어진 강도와 주파수를 갖는 마하 수의 진동을 통하여 압축성 유동장을 가진하는 개념적 모델을 통하여 공진 현상을 모사한다. 비선형 효과의 탐구를 위해 축대칭 오일러 방정식을 수치적으로 풀이하면서, 4 가지의 주요한 파라메터들 (가진 강도, 가진 주파수, 진 동부와 관 사이의 거리, 관의 깊이)을 추출하고 이에 대한 영향을 연구하였다. 또한 비선형 유동 효과에 의해 발생하는, 고전 이론에 의해 예측된 공진 주파수와의 차이를 정량적으로 나타내고 그 원인을 고찰하였다.

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Nonlinear Aspects of the Frequency Response of a Gas-filled Bubble Oscillator (기포진동 주파수응답의 비선형적 현상)

  • Kim, Dong-Hyuk;Kim, Jeung-Tae;Lee, Yong-Bong
    • The Journal of the Acoustical Society of Korea
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    • v.10 no.1
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    • pp.12-19
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    • 1991
  • A numerical analysis is carried out for the nonlinear phenomena of the bubble oscillator. The model is based on the Keller's formulation for the bubble dynamics. Interpretation of the bubble interior is based on the formulation by Prosperetti. His formulation adopts the energy equation for the analysis of the bubble interior. The numerical simulation Shows typical nonlinear phenomena in its frequency response. Among such nonlinear aspects are the jump phenomenon, the shift of natural frequency of the system, and the appearance of superharmonic resonances. It is deduced that the nonlinear frequency response is dependent upon the initial condition of the bubble oscillator and some multi-valued frequency region can appear in the response curve. Nonlinear phenomena appeared in the bubble oscillator is compared with those of the Duffing equation and it may be said that the bubble dynamic equation has similar nonlinear aspects to the Duffing equation.

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Shape Oscillation and Mode Characteristic of Droplet on Vibrating Flat Surface (진동 평판 위 액적의 형상 진동 변화 및 모드 특성)

  • Shin, Young-Sub;Lim, Hee-Chang
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.37 no.5
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    • pp.489-494
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    • 2013
  • This study aims to understand the mode characteristics of a droplet under a periodic forced vibration. To predict the resonance frequency of a droplet, theoretical and experimental approaches were employed. A high-speed camera was used to capture the various deformation characteristics of a droplet-mode shape, detachment, separated secondary droplet, and skewed deformation. The comparison between the theoretical and the experimental approaches shows a ~10% discrepancy in the prediction of the resonance frequency, which appears to be caused by the effect of contact line friction, nonlinear wall adhesion, and experimental uncertainty. Owing to contact-line pinning and smaller amplitude, the droplet shape becomes symmetric and the size of each lobe at the resonance frequency exceeds that at the neighbor, which is out of resonance.

Steady State Amplitude Analysis for a Nonlinear Oscillating Cantilever Beam in Case of 1:1 Internal Resonance (비선형 진동 외팔보의 1:1 내부공진 경우 정상 상태 응답 해석)

  • 이수일;장서일;이장무
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1996.04a
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    • pp.376-383
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    • 1996
  • 보(beam)는 기계 구조 및 항공 우주 구조물의 기본적인 요소로서, 특히 큰 동적 거동을 하는 경우는 비선형성이 두드러지게 나타나는 것으로 알려져 있고[4], 헬리콥터의 회전날개(rotor blade)나 두께가 얇은 고속회전 축등의 경우에는 비틀림(torsion)과 굽힘(bending) 운동이 비선형 연성되어 나타나게 된다. 이러한 비선형 연성 효과를 갖는 경우에는 운동의 양상이 복잡하게 전개된다. 따라서 본 연구에서는 비선형 연성운동이 생기는 이러한 단순 외팔보에 대해 비선형 진동 특성을 파악하고 각 비틀림(internal resonance)현상[5]에 따른 정상상태 진폭 응답의 해석을 그 목적으로 한다.

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Nonlinear Oscillation Characteristics in Combination Resonance Region Considering Damping Effects (조합공진 영역에서 감쇠의 영향을 고려한 비선형 진동 응답 특성)

  • Jeong, Tae-Gun
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.20 no.9
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    • pp.849-855
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    • 2010
  • Damping may change the response characteristics of nonlinear oscillations due to the parametric excitation of a thin cantilever beam. When the natural frequencies of the first bending and torsional modes are of the same order of magnitude, we can observe the one-to-one combination resonance in the perturbation analysis depending on the characteristic parameters. The nonlinear behavior about the combination resonance reveals a chaotic motion depending on the natural frequencies and damping ratio. We can analyze the chaotic dynamics by using the eigenvalue analysis of the perturbed components. In this paper, we derived the equations for autonomous system and solved them to obtain the characteristic equation. The stability analysis was carried out by examining the eigenvalues. Numerical integration gave the physical behavior of each mode for given parameters.

A Study on the Effects of Dual Dynamic Vibration Absorber for Damped Vibration System (감쇠진동계에 부착된 복합동흡진기의 효과에 관한 연구)

  • 안찬우;최석창;김동영
    • Journal of KSNVE
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    • v.7 no.6
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    • pp.1039-1048
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    • 1997
  • This paper describes the effects of dual dynamic vibration absorbers attached to a primary vibration system with damping. The efficiency of dual dynamic vibration absorbers was investigated with the height of amplitude ratio at the resonance frequency ratio of the damped vibration system according to mass ratio, natural frequency ratio and damping ratio. The variation of amplitude ratio related to frequency ratio of primary vibration system is verified experimentally and theoretically according to dual dynamic vibration systems using computer program designed to find mutual relationship between two absorbers.

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Modal Identification and Seismic Performance Evaluation of 154kV Transformer Porcelain Bushing by Vibration Test (진동시험에 의한 154kV 변압기 부싱의 동특성 분석 및 내진성능 평가)

  • Joe, Yang-Hee;Cho, Sung-Gook
    • Journal of the Earthquake Engineering Society of Korea
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    • v.10 no.5 s.51
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    • pp.107-115
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    • 2006
  • The power supply system is one of the most important infrafacilities which should maintain their inherent function during and after earthquakes. This study was performed to analyze dynamic characteristics and seismic performance of Korean typical 154kV transformer porcelain bushing. For the purpose of this study, actual 154kV porcelain bushings were selected and tested on the shaking table. The vibration tests consist of modal identification tests, seismic performance tests, and fragility tests. The sine sweep waves, artificial earthquake waves, and continuous resonant sine waves were used as shaking table motions. This paper describes the test specimens, shaking facilities, and test methods. Natural frequencies and damping ratios of the bushing have been evaluated from the experimental data. The failure mode and the performance level of the Korean transformer bushing have been first identified in this study.