• Title/Summary/Keyword: Mode pair

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Experimental Investigation on the Equivalent Ring Theory of the Beat (맥놀이의 등가 링 이론에 관한 실험적 검토)

  • Kim, S.H.;Cui, C.X.;Park, H.G.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.11a
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    • pp.1218-1223
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    • 2007
  • In this study, we experimentally investigate the equivalent ring theory for a slightly asymmetric ring. The slightly asymmetric ring has mode pair and frequency pair due to the small asymmetry and this mode pair generates beat in vibration and sound. In this paper, a slightly asymmetric ring is modeled as the equivalent ring, i.e., the assemblage of a symmetric ring and imperfect point masses. The equivalent ring has the same mode pair condition as that of the original asymmetric ring. Effect of the additional mass attachment is investigated by the equivalent ring theory and the result is compared with those of the measurement and the finite element analysis. It is confirmed that the original ring and the equivalent ring show the same change in frequency and mode under the various additional imperfection mass conditions. The equivalent ring theory explains how the asymmetric elements influence the mode characteristics and provides useful information to tune the beat property.

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Beat Map Drawing Method for a Large Size Bell using ODS (ODS를 이용한 대형종의 맥놀이 지도 작성법)

  • Park, In-Seok;Lee, Jung-Hyeok;Park, Sun-Mi;Kim, Seock-Hyun
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2012.04a
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    • pp.929-932
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    • 2012
  • Beat map shows the distribution property of the beating sound in the bell structure. Using the beat map, beat control and beat estimation are available. To draw the beat map, mode pair parameters of the bell are required. However, in case of large bell which is struck by a heavy wooden hammer, it is very difficult to measure the excitation force and to obtain the mode pair parameters. In this paper, we determined the mode pair parameters of the bell from the transmissibility between the roving signal and reference signal, using ODS(operational deflection shape) method. The mode pair data are input to the theoretical model of the beat response and beating waves are generated on the bell circumference. All the numerical and beat map drawing procedures are automatized using Matlab. Finally, the reliability of the beat map generated by the program is verified.

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Beat Control Method Using the Finite Element Analysis of an Equivalent Ring (등가 링의 유한요소해석을 이용한 맥놀이 조절법)

  • Kim, Seock-Hyun;Cui, Cheng-Xun
    • The Journal of the Acoustical Society of Korea
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    • v.27 no.7
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    • pp.365-371
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    • 2008
  • In this study, beat control method using an equivalent ring model is proposed to control beat period of a slightly asymmetric ring. Slight asymmetry in a ring generates mode pair and the interaction of the mode pair makes beat in vibration and sound. In a ring, as a simplified bell type structure, mode data are measured and an equivalent ring is determined so that the measured mode condition is satisfied. By the finite element analysis on the equivalent ring, changes of mode pair condition are predicted when local mass is attached or the local thickness is decreased. The predicted results are compared with the experimental result and the validity of the proposed method is verified.

Beat Control Using an Equivalent Ring Model (등가 종 모델을 이용한 맥놀이 조절법)

  • Kim, Seockhyun;Lee, Joonghyeok
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2012.10a
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    • pp.516-519
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    • 2012
  • This study proposes a method of an equivalent bell model in order to tune the beat period of a Korean bell. In a Korean bell having a slight asymmetry, each circumferential mode splits into a mode pair which has a slight difference in frequency, and the interaction of the mode pair makes a beat in vibration and sound. An equivalent bell model which consists of an axi-symmetric bell and an equivalent point mass, has the same mode property as in a real bell. The equivalent bell model is constructed by the finite element analysis based upon the theory of a revolutionary shell Using the equivalent bell model, the beat period is predicted when the bell thickness is locally decreased to improve the beat property. The predicted result is verified by experiment on a test bell. The proposed method is useful to save the time required for tuning the beat period of a large bell.

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Beat Maps of a Slightly Asymmetric Ring (미소 비대칭 링의 맥놀이 지도)

  • 박석균;박기영;서백수;김석현
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.1169-1176
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    • 2002
  • Analytical model of beat response is derived on a slightly asymmetric ring and is veryfied by experiment. The asymmetric ring is a simplified model used to explain the beat property of a Korean bell. The asymmetric ring has mode pair having slight frequency difference in each radial mode. Each mode pair produces beat phenomenon by the interaction of the two close frequency components. Based on the analytical model, beat maps are first proposed and characteristics of beat on the circumference are detaily explained.

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Particle displacement distributions of energy-trapped thickness shear vibrations in the piezoelectric substrate (압전체 기판에서 에너지 포획된 두께 전단진동의 변위분포)

  • 이개명
    • Electrical & Electronic Materials
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    • v.9 no.9
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    • pp.954-963
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    • 1996
  • Particle displacement distributions of the fundamental thickness shear vibration mode and overtone modes in an energy-trapped single resonator and an energy-trapped double acoustically coupled filter were calculated. The effects of the width of a pair of partial eletrodes and the magnitude of the plate back of the resonator on the particle displacement distributions of its symmetric vibration mode and anti-symmetric vibration mode were investigated. And the effects of the width of a pair of partial eletrodes, the width of the gap between two pairs of partial electrodes and the magnitude of the plate back of the filter on the particle displacement distributions of its symmetric vibration mode and anti-symmetric vibration mode were investigated.

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Beat control method of Korean bells using artificial dumshoi (인공 덤쇠를 이용한 한국종의 맥놀이 조절법)

  • Kim, Seockhyun;Lee, Jae Ho
    • The Journal of the Acoustical Society of Korea
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    • v.40 no.3
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    • pp.192-200
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    • 2021
  • Korean bell is a macroscopically axi-symmetrical structure, but has a slight asymmetry due to complex patterns and casting irregularity. Small asymmetry separates one vibration mode into a mode pair with slight frequency difference. The mode pair interferes and creates a beat. The vivid beat with an appropriate period makes the bell sound magnificent and lively feeling. In this study, we propose a method to make the vivid beat using artificial dumshoi. This method creates the vivid beat by designing artificial dumshoi that overwhelms the bell asymmetry. To this end, the asymmetry of Korean bell is quantified by analyzing the beat period data of a number of Korean bells cast in modern times. Based on the measured beat period data, the magnitude of asymmetry is quantified using an equivalent bell model and artificial dumshoi is applied. The movement of mode pair by dumshoi is predicted through finite element analysis. Finally, a design example of the artificial dumshoi for clear beat is introduced.

Pulse Compression of an Additive-Pulse Mode-Locked CW Nd:YLF Laser by Using an Optical Fiber and a Grating Pair (광섬유와 회절격자쌍을 이용한 Additive-Pulse Mode-Locking된 CW Nd:YLF 레이저의 광펄스 압축)

  • 안승준
    • Korean Journal of Optics and Photonics
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    • v.4 no.1
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    • pp.66-72
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    • 1993
  • Additive-pulse mode-locking (APM) was performed in a $1.053{\mu}m$ cw Nd:YLF laser by coupling a nonlinear external external cavity to the main cavity. The APM pulsewidth was 4.5 ps and the average output power was 1.5 W. This APM pulse was compressed by an optical fiber and a grating pair to be as short as 210 fs with a peak power of 17 kW.

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Analysis on the Acoustic Beat of a Slightly Asymmetric Cylindrical Shell (미소 비대칭 원통쉘의 음향 맥놀이 해석)

  • Ahn, Sung-Jong;Kang, Yeon-June;Kim, Seock-Hyun;Park, Sung-Yong
    • The Journal of the Acoustical Society of Korea
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    • v.27 no.4
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    • pp.183-190
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    • 2008
  • In this paper, radiation characteristics of the beating sound are analytically investigated on a slightly asymmetric cylindrical shell. The cylindrical shell isan efficient model to consider the beat characteristics of Korean bells. Slight asymmetry in Korean bells makes mode pair which has close frequency components and the interaction of each mode pair produces beating sound. Based on the analytical model, the radiated sound field is determined. Using the sound beat map, the beating sound vs. direction and distance is investigated. Finally, results of the theoretical method are compared with those of the boundary element method to verify the validity.

Compact and Low Insertion Loss Dual-Mode Resonator and Its Applications for Switchable Filters (낮은 삽입손실을 갖는 소형 이중모드 공진기와 스위치 기능을 가진 여파기로의 응용)

  • 성영제;김보연;이건준;김영식
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.15 no.3
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    • pp.301-310
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    • 2004
  • In this paper, a compact dual-mode filter structure without coupling gaps is proposed. The novel design is achieved by embedding a pair of equal crossed slots and spur-lines. Without coupling gaps between feed lines and patch resonator, the new filter can provide low insertion loss. It is found that this design has wide coupling range for dual-mode operation. It means that these characteristics of the proposed filter can reduce uncertainty in fabrication. By using two PIN diodes mounted inside a pair of spur-lines, the proposed structure works as a switchable filter. Also, it has a size reduction of about 34.7 %, compared with conventional dual-mode filters.