• Title/Summary/Keyword: In-plane Vibration

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In-Plane Free Vibration Analysis of Curved Timoshenko Beams by the Pseudospectral Method

  • Lee, Jinhee
    • Journal of Mechanical Science and Technology
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    • v.17 no.8
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    • pp.1156-1163
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    • 2003
  • The pseudospectral method is applied to the analysis of in-plane free vibration of circularly curved Timoshenko beams. The analysis is based on the Chebyshev polynomials and the basis functions are chosen to satisfy the boundary conditions. Natural frequencies are calculated for curved beams of rectangular and circular cross sections under hinged-hinged, clamped-clamped and hinged-clamped end conditions and the results are compared with those by transfer matrix method. The present method gives good accuracy with only a limited number of collocation points.

Linear Stability Analysis of an Out-of-plan Motion of Vibration of a Two Degree-of-freedom with Contact Stiffness (마찰기인 접촉 강성을 가지는 2-자유도계 면외 방향 진동 시스템의 선형 안정성 해석)

  • Joe, Yong-goo;Shin, Ki-hong;Lee, Hyun-young;Oh, Jae-Eung;Lee, Su-Gab
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.15 no.3 s.96
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    • pp.259-265
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    • 2005
  • A two-degree-of-freedom out-of-plane model with contact stiffness is presented to describe dynamical interaction between the pad and disc of a disc brake system. It is assumed that the out-of-plane motion of the system depends on the friction force acting along the in-plane direction. Dynamic friction coefficient is modelled as a function of both in-plane relative velocity and out-of-plane normal force. When the friction coefficient depends only on the relative velocity, the contact stiffness has the role of negative stiffness. The results of stability analysis show that the stiffness of both pad and disc is equally important. Complex eigen value analysis is conducted for the case that the friction coefficient is also dependent on the normal force. The results further verify the importance of the stiffness. It has also been found that increasing the gradient of friction coefficient with respect to the normal force makes the system more unstable.

Power Flow Analysis for Medium-to-High Frequency Vibration of Shell Structures (셸 구조물의 중고주파 진동 파워흐름해석)

  • 박도현;김일환;홍석윤;길현권
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.1177-1184
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    • 2002
  • In this paper, power flow analysis method on the various types of thin shell has been developed to solve vibrational Problems in the medium to high frequency ranges. Energy governing equations have been derived both for out-of plane and in-plane waves in thin shell. These results have been numerically applied to predict the vibrational energy density and intensity distributions of cylindrical, spherical and doubly-curved shells.

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Micro Drilling using 2-directional Vibration in a Plane (양방향 평면진동을 이용한 미세구멍가공)

  • Kim, Gi Dae
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.9 no.4
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    • pp.38-43
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    • 2010
  • By generating 2-directional vibration in a xy plane of workpiece table, a newly developed micro drilling using 2-directional vibration was carried out. The vibration was produced by applying sinusoidal voltages to the orthogonally arranged piezoelectric materials built in the workpiece excitation table. Through the micro-drilling experiments using poly-carbonate and brass material, it was found that micro drilling using 2-directional vibration in a workpiece table could be an efficient method to enhance the form accuracy of machined workpiece by suppressing burr formation at both entry and exit region. A higher form accuracy could be obtained by increasing stiffness of feeding mechanism, decrease of geometric tolerance of combining jig, and development of high performance excitation table which generates amplified vibration at higher frequency.

Quantitative Measurement of Out-of-plane Deformation Using Shearography (전단간섭계를 이용한 면외변형의 정량적 계측)

  • Chang, Ho-Seob;Jung, Sung-Wook;Kim, Kyoung-Suk;Jung, Hyun-Chul
    • Journal of the Korean Society for Precision Engineering
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    • v.24 no.4 s.193
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    • pp.131-137
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    • 2007
  • Electronic Speckle Pattern Interferometry(ESPI) is a common method for measuring out-of-plane deformation and in-plane deformation and applied for vibration analysis and strain/stress analysis. However, ESPI is sensitive to environmental disturbance, which provide the limitation of industrial application. On the other hand, Shearography based on shearing interferometer which is insensitive to vibration disturbance can directly measure the first derivative of out-of-plane deformation. In this paper a technique that extract out-of-plane deformation from results of shearography by numerical processing is proposed and measurement results of ESPI and Shearoraphy are compared quantitatively.

Measurements of Radial In-plane Vibration Characteristics of Piezoelectric Disk Transducers (원판형 압전 변환기의 면내 방사 진동 특성 측정)

  • Kim, Dae Jong;Oh, Se Hwan;Kim, Jin Oh
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.25 no.1
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    • pp.13-23
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    • 2015
  • The paper experimentally deals with the radial in-plane vibration characteristics of disk-shaped piezoelectric transducers. The radial in-plane motion, which is induced due to Poisson's ratio in the piezoelectric disk polarized in the thickness direction, was measured by using an in-plane laser vibrometer, and the natural frequencies were measured by using an impedance analyzer. The experimental results have been compared with theoretical predictions obtained by simplified theoretical and finite-element analyses. It appears that the fundamental mode of a piezoelectric disk transducer is a radial mode and its radial displacement distribution from the center to the perimeter is not monotonic but shows maximum slightly apart from the perimeter. The theoretically-calculated fundamental frequencies agree well with the finite-element results for small thickness-to-diameter ratio, and they are accurate within 7 % error for the ratio up to 0.4.

A study for the Improvement of the Plane Speaker by Time-Averaged Holographic Interferometry (時間 平均 롤러그래픽 干涉計에 의한 平面스피이커의 改善에 관한 硏究)

  • 이기백;김수광;안경면;이병훈
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.3
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    • pp.285-291
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    • 1986
  • The plane speaker is inspected by the free vibration theory, the sound pressure, and the holographic interferometry. It is shown that time-average holographic interferometry is useful for the vibration analysis of the plane speaker. The position of supporter dertermined experimentally and theoretically, the value of r/a, is 0.68. Theoretical analysis of the free vibration for the plate agrees pretty well with the experimental results. The plane speaker is distorted vibrationally by the suppoter, but the distortion is not seen in the newly designed speaker.

Natural Frequencies of a Spinning Disk Misaligned with the Axis of Rotation (회전축 정렬불량을 가지는 유연 회전디스크의 고유치 해석)

  • 허진욱;정진태;김원석
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.11b
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    • pp.817-825
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    • 2001
  • The natural frequencies of a flexible spinning disk misaligned with the axis of rotation are studied in an analytic manner. The effects of misalignment on the natural frequency need to be investigated, because the misalignment between the axis of symmetry and the axis of rotation cannot be avoided in the removable disks such as CD-R, CD-RW or DVD disks. Assuming that the in-plane displacements are in steady state and the out-of-plane displacement is in dynamic state, the equations of motion are derived for the misaligned spinning disk. After the exact solutions are obtained for the steady-state in-plane displacements, they are plugged into the equation for the dynamic-state out-of-plane motion. The resultant equation is a linear equation for the out-of-plane displacement, which is discretized by the Galerkin method. Based on the discretized equations, the effects of the misalignment are analyzed on the vibration characteristics of the spinning disk, i.e., the natural frequencies and the critical speed

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Three-dimensional vibration measurement algorithm using one laser scanning vibrometer (한대의 LSV 를 이용한 3 차원 진동측정방법)

  • Kim, Dong-Kyu;Song, Ha-Jun;Park, Kyi-Hwan
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2012.04a
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    • pp.935-939
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    • 2012
  • 3D vibration measurement is achieved using one laser scanning vibrometer(LSV) and Laser scanner(LS) by moving the LSV to three arbitrarily locations from the principle that vibration analysis based on the frequency domain is independent of the vibration signal based on time domain. The proposed system has the same effect as using three sets of LSVs. It has an advantage of reducing equipment costs. Analytical approach of obtaining in-plane and out-of-plane vibration of surface is introduced using geometrical relations between three LSV coordinates and vibration measured at three different locations.

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Study on Vibration Characteristics in terms of Airfoil Cross-Sectional Shape by Using Co-rotational Plane Beam-Transient analysis (Co-rotational Plane beam-Transient analysis를 이용한 에어포일 단면 형상 변화에 따른 진동특성 연구)

  • Kim, Se-Ill;Kim, Yong-Se;Park, Chul-Woo;Shin, SangJoon
    • Proceeding of EDISON Challenge
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    • 2016.03a
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    • pp.203-208
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    • 2016
  • In this paper, vibration characteristics in terms of the airfoil cross-sectional shape was examined by using the EDISON co-rotational plane beam-transient analysis. Assuming aircraft wing as a cantilevered beam with a constant cross-sectional shape, natural frequencies of each airfoil shape was compared while varying airfoil maximum thickness and maximum camber length, using Fast Fourier Transformation(FFT). When the airfoil maximum thickness was varied, natural frequency showed peak value at 18% chord, and decreased afterwards. When the airfoil maximum camber length was varied, natural frequency either increased or decreased at 6% chord, while at 8% the natural frequency showed its maximum. Applying such trends to B-737 wing airfoil, an improved B-737_mod airfoil shape was obtained with regard to the vibration characteristics.

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