• Title/Summary/Keyword: Circular vibrating plate

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Radiation characteristics analysis of Langevin transducer having a rim-fixed circular plate (주위가 고정된 원형 평판을 가진 란주반 트랜스듀서의 방사 특성 해석)

  • Jungsoon Kim;Jiwon Yoon;Moojoon Kim
    • The Journal of the Acoustical Society of Korea
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    • v.43 no.4
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    • pp.391-399
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    • 2024
  • In order to analyze the distribution of sound fields radiating from a circular plate vibrated by a Langevin transducer, a theoretical analysis model was derived. The boundary conditions of the driving area and fixed boundary area were appropriately applied to the equation of motion of the vibrating plate, which was derived by L. Rayleigh. By calculating the vibration displacement distributed on the surface of the vibrating plate using the derived analysis model and then calculating the sound field formed by the ultrasonic waves radiating from it, it was confirmed that the radiation characteristics vary significantly depending on the area of the vibrating plate. For comparison, a simulation of the same system was performed using the COMSOL program, a finite element method, and showed good agreement with the theoretical calculation results, confirming the effectiveness of the theoretical analysis model derived in thisstudy. It is expected that the theoretical analysis model derived from this study can be used in the design and development of related devices, such as in the ultrasonic chemistry field.

The Effect of Constant Excitation on Nonlinear Interactions in Vibrating Modes of Circular Plates - Part 1. The Equations of Motion (상수 가진력항이 원판의 진동모드사이의 비선형 상호작용에 미치는 영향 - 제 1 보 운동방정식)

  • Lee, Won-K.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.11a
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    • pp.716-720
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    • 2006
  • In order to examine the effect of constant excitation on nonlinear interactions in vibrating modes of circular plates, we added a constant term to a harmonic excitation. A two-degree-of freedom system is derived by using the Galerkin's procedure. The system is shown to have quadratic and cubic nonlinearities subjected to a harmonic excitation.

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Vibration from a Shaft-Bearing-Plate System Due to an Axial Excitation of Helical Gears

  • Park, Chan-Il
    • Journal of Mechanical Science and Technology
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    • v.20 no.12
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    • pp.2105-2114
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    • 2006
  • In this paper, a simplified model is studied to predict analytically the vibration from the helical gear system due to an axial excitation of helical gears. The simplified model describes gear, shaft, bearing, and housing. In order to obtain the axial force of helical gears, the mesh stiffness is calculated in the load deflection relation. The axial force is obtained from the solution of the equation of motion, using the mesh stiffness. It is used as a longitudinal excitation of the shaft, which in turn drives the gear housing through the bearing. In this study, the shaft is modeled as a rod, while the bearing is modeled as a parallel spring and damper only supporting longitudinal forces. The gear housing is modeled as a clamped circular plate with viscous damping. For the modeling of this system, transfer matrices for the rod and bearing are used, using a spectral method with four pole parameters. The model is validated by finite element analysis. Using the model, parameter studies are carried out. As a result, the linearized dynamic shaft force due to the gear excitation in the frequency domain was proposed. Out-of-plan displacement from the forced vibrating circular plate and the renewed mode normalization constant of the circular plate were also proposed. In order to control the axial vibration of the helical gear system, the plate was more important than the shaft and the bearing. Finally, the effect of the dominant design parameters for the gear system can be investigated by this model.

Active Noise Control Using Sensory Actuator (자기감응 액추에이터를 이용한 능동소음제어)

  • Go, Byeong-Sik
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.5
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    • pp.1573-1581
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    • 1996
  • This paper present as experimental demonstratio of DSP and a sensory actuator that is used to actively control sound transmission/radiation through a vibrating plate. A plane acoustic wave incident on a clamped, thin circular plate was used as a noise source, and a sensory actuator bounded to the plate was used to control and sense vibration of the plate. The sound transmission reduction problem was tranformed as a structural vibration control problem that actively control the structural vibration modes coupled to acoustic modes. The results show that the first structural vibration mode is controlled with a reduction of 78 percent in the displacement and velocity of the plate. This corresponds to a 13dB reduction in the acoustic response. These experimental results indicate that a sensory actuator bounded to the plate can be employed to attenuate the sound transmitted to radiated from the plate.

Mechanism of ovalling vibrations of cylindrical shells in cross flow

  • Uematsu, Yasushi;Tsujiguchi, Noboru;Yamada, Motohiko
    • Wind and Structures
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    • v.4 no.2
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    • pp.85-100
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    • 2001
  • The mechanism of wind-induced ovalling vibrations of cylindrical shells is numerically investigated by using a vortex method. The subject of this paper is limited to a two-dimensional structure in the subcritical regime. The aerodynamic stability of the ovalling vibrations in the second to fourth circumferential modes is discussed, based on the results of a forced-vibration test. In the analysis, two modal configurations are considered; one is symmetric and the other is anti-symmetric with respect to a diameter parallel to the flow direction. The unsteady pressures acting on a vibrating cylinder are simulated and the work done by them for one cycle of a harmonic motion is computed. The effects of a splitter plate on the flow around the cylinder as well as on the aerodynamic stability of the ovalling vibrations are also discussed. The consideration on the mechanism of ovalling vibrations is verified by the results of a free-vibration test.

Design of a Water Level Plate to Reduce Vibrating Noise of Washing Machine (세탁기의 진동소음 저감을 지원하는 자동 수평 평판 기구설계)

  • Park, Dong-Yeun;Jung, Jae-Hyun;Ko, Kuk-Won;Kim, Sung-Ki
    • Proceedings of the Korea Information Processing Society Conference
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    • 2014.11a
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    • pp.1203-1204
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    • 2014
  • 세탁기에서 등속 원운동(uniform circular motion)시 발생하는 힘으로 인해 생기는 소음 및 진동을 트라이포드 수평계(tripod water level)의 자동 수평맞춤 센서 장치, 방진고무(vibration proof rubber)를 장착한 최적의 진동흡수 평판 기구를 설계 하고자 한다. 본 연구의 결과는 세탁기 소음으로 인한 층간소음 문제 해결에 기여 할 것이다.