• Title/Summary/Keyword: flexural vibration

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Flexural Vibration of Clamped and Simplv Supported Sectorial Plates with Combinations of Simply Supported and Free Radial Edges

  • Han, Bong-Ko;Kim, Joo-Woo
    • Nuclear Engineering and Technology
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    • v.31 no.2
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    • pp.214-225
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    • 1999
  • An accurate method is presented for flexural vibrations of sectorial plates having simply supported-free and free-free radial edges, when the circular edge is either clamped or simply supported. The classical Ritz method is employed with two sets of admissible functions assumed for the transverse vibratory displacements. These sets consist of : (1) mathematically complete algebraic-trigonometric polynomials which gurantee convergence to exact frequencies as sufficient terms are retained, and (2) comer functions which account for the bending moment singularities at re-entrant comer of the radial edges having arbitrary edge conditions. Accurate (at least four significant figures) frequencies and normalized contours of the transverse vibratory displacement are presented for the spectra of corner angles [90$^{\circ}$, 180$^{\circ}$(semi-circular), 270$^{\circ}$, 300$^{\circ}$, 330$^{\circ}$, 350$^{\circ}$, 355$^{\circ}$, 360$^{\circ}$ (complete circular)] causing a re-entrant comer of the radial edges. Future solutions drawn from alternative numerical procedures and finite element techniques may be compared with these accurate results.

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A Study on the Motion Characteristics of the Ultrasonic Transport System using Laser Scanning Vibrometer (레이저 진동 측정기를 이용한 초음파 이송 시스템의 동작특성에 관한 연구)

  • 정상화;신병수;이경형
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2003.10a
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    • pp.155-158
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    • 2003
  • In the semiconductor and the optical industry a new transport system which can replace the conventional sliding system is required. These systems are driven by magnetic field and conveyer belt. The magnetic field damages semiconductor and contact force scratches the optical lens. The ultrasonic wave driven system can solve these problem. In this paper, the vibration behavior of flexural beam in the ultrasonic transport system is verified using Laser Scanning Vibrometer. The experiments for verifying vibration are performed in three conditions such as in the maximum transport speed, in the zero speed, and in the change of transport direction.

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Flexural Vibration Analysis of Mindlin Rectangular Plates Having V-notches or Sharp Cracks (V노치 또는 예리한 균열을 가지는 Mindlin 직사각형 평판의 휨 진동해석)

  • Kim, Joo-Woo;Jung, Eui-Young;Kim, Seung-Hyun
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.04a
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    • pp.35-42
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    • 2003
  • This paper provides the first known flexural vibration data for thick (Mindlin) rectangular plates having V-notches. The V-notch has bending moment and shear force singularities at its sharp corner due to the transverse vibratory bending motion. Based upon Mindlin plate theory, in which transverse shear deformation and rotary inertia effects are considered, the Ritz procedure is employed with a hybrid set of admissible functions assumed for the rotational and transverse vibratory displacements. This set includes: (1) a mathematically complete set of admissible algebraic-trigonometric polynomials which guarantee convergence to exact frequencies as sufficient terms are retained; and (2) an admissible set of Mindlin corner functions which account for the bending moment and shear force singularities at the sharp corner of the V-notch. Extensive convergence studies demonstrate the necessity of adding the Mindlin corner functions to achieve accurate frequencies for rectangular plates having sharp V-notches.

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Theoretical Background for the Application of the Continuous Wavelet Transform (연속웨이블렛 변환의 활용에 대한 이론적 배경)

  • Kim, Yoon-Young;Kim, Eung-Hun
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.724-730
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    • 2000
  • Although there have been many investigations employing the continuous wavelet transform for the analysis of dispersive waves, they seem to lack theoretical justifications for the effectiveness of the continuous wavelet transform over other time-frequency analysis tools such as the short-time Fourier transform. The goal of this paper is to answer this question by investigating theoretically the performance of the continuous wavelet transform and the short-time Fourier transform in tracing rapidly time-varying flexural waves. As a specific example, the performance of the two transforms is compared in a problem dealing with flexural waves generated by an impact in a solid circular cylinder.

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Hybrid Vibration Control of Smart Laminated Composite Beams using Piezoelectric and Viscoelastic Material (압전재료와 점탄성 재료를 이용한 지능 복합적층보의 하이 브리드 진동제어)

  • Kang, Young-Kyu
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.10
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    • pp.148-153
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    • 2001
  • Active control of flexural vibrations of smart laminated composite beams has been carried out using piezoceramic sensor/actuator and viscoelastic material. The beams with passive constrained layer damping hale been analyzed by formulating the equations of motion through the use of extended Hamilton's principle. The dynamic characteristics such as damping ratio and modal damping of the beam are calculated for various fiber orientations by means of iterative complex eigensolution method. This paper addresses a design strategy of laminated composite under flexural vibrations to design structure with maximum possible damping capacity.

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A study on the flexural virations for the ring with symmetrical cross section (대칭단면 원환부품의 평면진동에 관한 연구)

  • 김광식;김강년
    • Journal of the korean Society of Automotive Engineers
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    • v.6 no.1
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    • pp.56-62
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    • 1984
  • Various automotive and machine parts are having the shape of circular ring and the study and the verification of its dynamic characteristics can be the important basis of quality control and improvement of performance of inner and outer race of ball and roller radial bearing, ring gear, seal, etc. In this study, three separate sets of governing equations on the flexural vibration of circular ring were formulated each considering the effects of viscous damping, rotatory inertia and shear deformation, and three frequency formulas were derived. Numerical values of frequencies of circular and rectangular cross section ring were tabulated and compared with experimental value. Some important parameters were found in the ring vibration characteristics.

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Load Carrying Capacity Evaluation of WPC Soundproof Panel Subjected to Vertical Loads (WPC 방음판의 수직하중에 대한 내하성능 평가)

  • Chang, Taesun;Lee, Il Keun;Kim, Chulhwan;Shim, Jaewon
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2014.10a
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    • pp.823-826
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    • 2014
  • The weight of soundproof panels is an important consideration in the design of both panels and supporting structures. The soundproof panels in noise barriers have to carry their net weight in wet condition respectively the reduced weight and also the weight of the above installed panels in wet condition without showing any failing. In this study, a compression test and a flexural test were performed to determine the maximum vertical load which a wood plastic composites (WPC) panel can bear. In addition, the maximum loading number and height of WPC panels in a noise barrier were calculated for full, simple, and continuous support conditions.

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Force factor of the stator used for ring type ultrasonic motor (링형 초음파 모터 고정자의 Force Factor)

  • Jeong, S.H.;Lee, J.S.;Yuk, H.S.;Chae, H.I.;Lim, K.J.;Bae, H.D.
    • Proceedings of the KIEE Conference
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    • 1993.07b
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    • pp.1125-1129
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    • 1993
  • A piezoelectric ring type plate, which vibrates in flexural vibration mode, is used for the stator of ultrasonic motor. To design the stator adequately, the force factor of the stator should be estimated in advance. The theoretically calculated force factors for the flexural vibration mode are compared with the measured ones to obtain good agreement. In order to study how to control the force factor, the relation between the shape of the stator and force factor is also considered.

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Evaluation of Tension Force of Stay Cables Using Vibration Method (진동법을 이용한 인장 케이블의 장력 추정에 관한 연구)

  • Kim, Nam-Sik;Jeong, Woon
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.12 no.12
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    • pp.956-963
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    • 2002
  • In a recent construction industry, cable supported structures such as a cable-stayed bridge or space stadium have been increasingly constructed according to rapidly upgrade their related technologies. Generally stay cables as a critical member need to be rearranged for being satisfied with design tension forces. In this purpose, a vibration method has been applied to estimate the tension forces exerted on existing stay cables. In this study, cable vibration tests were tarried out to evaluate the cable tension forces comparing with theoretical and practical formulas. Using the measured frequencies obtained from free vibration and Impulsive tests, an accuracy of the estimated tension forces is confirmed according to use the first single mode only or higher multiple modes.

Acoustic Levitation and Rotation Produced by Ultrasonic Flexural Vibration (초음파 굽힘 진동에 의한 음향 부상 및 회전)

  • Loh, Byoung-Gook
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.14 no.5
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    • pp.432-438
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    • 2004
  • Acoustic levitation induced by ultrasonic flexural vibration at 28.4 KHz with a vibration amplitude of 10 micrometers is presented. Levitation of multiple objects along the length of the beam in a gap of 8.3 mm which is the half of acoustic wavelength is experimentally demonstrated. Analytical analysis predicts that levitated objects for the gap of half-the wavelength converges to the center of the gap, which is experimentally verified. It is observed that levitated objects with well-balanced mass distribution are set into rotation due to acoustic streaming. For cylinder-shaped Styrofoam with a diameter of 1.8 mm and a length of 3 mm, measured rotational velocity is 2400 revolution per minute. Applications of standing wave field levitation (SWFL) include manipulation of biological cells and blood constituents in biotechnology, and fine powder in material engineering.