• Title/Summary/Keyword: Sinusoidal Vibration

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Thermal vibration analysis of thick laminated plates by the moving least squares differential quadrature method

  • Wu, Lanhe
    • Structural Engineering and Mechanics
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    • v.22 no.3
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    • pp.331-349
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    • 2006
  • The stresses and deflections in a laminated rectangular plate under thermal vibration are determined by using the moving least squares differential quadrature (MLSDQ) method based on the first order shear deformation theory. The weighting coefficients used in MLSDQ approximation are obtained through a fast computation of the MLS shape functions and their partial derivatives. By using this method, the governing differential equations are transformed into sets of linear homogeneous algebraic equations in terms of the displacement components at each discrete point. Boundary conditions are implemented through discrete grid points by constraining displacements, bending moments and rotations of the plate. Solving this set of algebraic equations yields the displacement components. Then substituting these displacements into the constitutive equation, we obtain the stresses. The approximate solutions for stress and deflection of laminated plate with cross layer under thermal load are obtained. Numerical results show that the MLSDQ method provides rapidly convergent and accurate solutions for calculating the stresses and deflections in a multi-layered plate of cross ply laminate subjected to thermal vibration of sinusoidal temperature including shear deformation with a few grid points.

Development of a Low Frequency Vibration Shaker Using Force Frequency Shifting (가진주파수 이동현상을 이용한 저주파 가진기의 개발)

  • ;L. L. Koss
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.13 no.4
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    • pp.274-280
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    • 2003
  • If a sinusoidal excitation force moves back and forth along a structure with a certain frequency, the structure will be excited with the difference frequency of these two frequencies. A low frequency vibration shaker has been developed using this force frequency shifting without actually moving a shaker The shaker consists of an ordinary eccentric mass shaker, a plate, constant springs, and time varying dampers. The dampers are turned on and off in a sequential manner to simulate a traveling slide of an excitation force. The operation of the shaker is simulated by solving the equations of motion of the shaker. Characteristics of the shaker have been found and they can be utilized to design efficient low frequency shakers.

Dynamic System Analysis of Machine Tool Spindles with Magnet Coupling

  • Kim, Seong-Keol
    • International Journal of Precision Engineering and Manufacturing
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    • v.3 no.4
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    • pp.87-93
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    • 2002
  • In this study, basic concepts of magnet were introduced, and dynamic characteristics of magnet coupling were explored. Based on these characteristics, it was proposed how to analyze transverse and torsional vibrations of a spindle system with magnet coupling. Proposed theoretical approaches were applied to a precision power transmission system machined for this study, and the transverse and torsional vibrations were simulated. The force on magnet coupling was shown as a form of nonlinear function of the gap and the eccentricity. Also, the form of torque transmitted by magnet coupling was considered as a sinusoidal function. Main spindle connected to a coupling of a follower part was assumed to be a rigid body. Nonlinear partial differential equation was derived to be as a function of angular displacement. By using the equation, torsional vibration analysis of a spindle system with magnet coupling was performed. Free and forced vibration analyses of a spindle system with magnetic coupling were explored by using FEM.

Development of a Low Frequency Vibration Shaker Using Force Frequency Shifting (가진주파수 이동현상을 이용한 저주파 가진기의 개발)

  • Lee, Gun-Myung;Koss, L.L.;Lee, Jung-Soo
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11b
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    • pp.182-186
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    • 2002
  • If a sinusoidal excitation force moves back and forth along a structure with a certain frequency, the structure will be excited with the difference frequency of these two frequencies. A low frequency vibration shaker has been developed using this force frequency shifting without actually moving a shaker. The shaker consists of an ordinary eccentric mass shaker, a plate, constant springs, and time varying dampers. The dampers are turned on and off in a sequential manner to simulate a traveling slide of an excitation force. The operation of the shaker is simulated by solving the equations of motion of the shaker. Characteristics of the shaker have been found and they will be utilized to design efficient low frequency shakers.

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Development of n Low Frequency Vibration Shaker Using Force Frequency Shifting (가진주파수 이동현상을 이용한 저주파 가진기의 개발)

  • Lee, Gun-Myung;L.Koss;Lee, Jung-Soo
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11a
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    • pp.324.2-324
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    • 2002
  • If a sinusoidal excitation force moves back and forth along a structure with a certain frequency, the structure will be excited with the difference frequency of these two frequencies. A low frequency vibration shaker has been developed using this force frequency shifting without actually moving a shaker. The shaker consists of an ordinary eccentric mass shaker, a plate, constant springs, and time varying dampers. The dampers are fumed on and off in a sequential manner to simulate a traveling slide of an excitation force. (omitted)

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Determining Vibration Qualification Level of Products (제품의 진동시험수준 결정에 관한 고찰)

  • 윤용집;최창하;임영택;최병민
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1995.04a
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    • pp.322-327
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    • 1995
  • 무기체계 개발에서 개발장비의 내구성은 개발자가 고려해야될 가장 중요한 항목 중에 하나이다. 그러나 이런 개념이 꼭 무기체계 개발에만 국한된다고 생각되지는 않는다. 실제로 여러 선진국에서는 자동차나 항공기 그리고 인공위성에 탑재되는 거의 모든 장비를 환경시험을 통하여 엄격하게 관리하고 있는 것이 사실이고, 우리 기업들 역시 진동을 비롯하여 온도, 충격, EMI/EMC등 환경시험분야에 많은 관심을 기울이고 있기 때문에 이런 환경시험수준 결정절차나 과정 그리고 결과를 나름대로 파악하는 일은 매우 중요하다고 판단된다. 여러 환경시험 중에서도 진동시험은 가장 보편적이고 오래된 것으로 진동시험을 합리적으로 수행하기 위해서는 무엇보다도 합리적이고 타당한 진동시험수준 결정이 필요하다. 미 군사규격도 Sinusoidal이나 Swept Sine에서 Random Vibration 시험까지 여러 종류의 시험에서 각각에 맞는 시험 방법을 제시하고 있으나 이를 뒷받침하는 이론적 설명은 부족한 편이다. 이런 상황에서 프랑스가 환경시험, 특히 진동 시험에 많은 연구를 하고 있어서 이번에 국방과학연구소가 프랑스의 Thomson-CSF사와 함께 일하면서 배우고 나름대로 연구한 것을 앞장에 언급하였다. 세부적인 내용이 많이 포함되지는 못했지만 가능하면 여러 분야에서 이런 작업이나 연구에 관하여 많은 관심을 가져 주기를 바란다.

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Modal Identification of a randomly excited 1-D structure using Scanned data (스캐닝 데이터를 이용한 랜덤 가진된 일차원 구조물의 모달 분석)

  • 경용수;왕세명;김상명;박기환
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.241-246
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    • 2002
  • Usually vibration properties are obtained from frequency response functions or impulse response functions of a system. Since the contact type sensors can affect the characteristics of vibrating systems, the non-contact type sensors such as laser Doppler vibrometer (LDV) are being widely used. Currently researches are being carried out in terms of modal analysis using a scanning vibrometer. For the continuous scan; the Chebyshev demodulation (or polynomial) is apparently suggested to extract the mode shapes. With single frequency sinusoidal excitation, this approach is well fitted. In this research, the Chebyshev demodulation technique has been applied to the impact excitation case. The vibration of the tested structure is modeled using impulse response functions. The technique is also adopted to the random excitation case. In order to verify the technique, a simply supported beam was chosen as the test rig. The calculation modules are developed by using MATLAB$\^$(R)/ in WindowsNT$\^$(R)/ environment.

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Free Vibration Analysis of Arches with Thickness varying in a Discontinuous Fashion (불연속 변화단면 아치의 자유진동 해석)

  • 이병구;오상진;모정만;김현상
    • Journal of KSNVE
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    • v.3 no.4
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    • pp.331-339
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    • 1993
  • The main purpose of this paper is to present an analytical method for free vibration of arches with thickness varying in a discontinuous fashion. The ordinary differential equations governing the free vibration of these arches are derived as nondimensional forms including the effect of rotatory inertia. The governing equation are solved numerically for the circular and sinusoidal arches with hinged-hinged-hinged end clamped-clamped end constraints. As the numerical results, the effect of rotatory inertia on the natural frequencies is reported. The lowest four natural frequencies are presented as the functions of four nondimensional system parameters; the rise to span length ratio, the slenderness ratio, the section ratio and the ratio of discontinuous section.

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Active Vibration Control of the Enclosed Plate by Intelligent Control Method (지능제어 방식에 의한 밀폐계 평판의 능동진동제어)

  • Shin Joon;Lee Tae-Yeon
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.14 no.4
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    • pp.55-60
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    • 2005
  • In this study, vibration control of the enclosed plate which is typical two dimensional structure are performed by using intelligent control method and piezo ceramic as an actuator attached at the plate. The characteristics of the plate with piezo ceramic are examined to identify the natural frequencies. Then, the plate is controlled under the sinusoidal excitation by acoustic source and the reduction level of vibration is examined via frequency response and time sequence. The control result shows the effect of the intelligent control method as a control scheme compared with that of the previous filtered-X LMS algorithm.

Free Vibrations and Buckling of Rectangular Plates with Linearly Varying In-Plane Loading

  • Chang, Kyong-Ho;Shim, Hyun-Ju;Kang, Jae-Hoon
    • Journal of Korean Association for Spatial Structures
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    • v.4 no.4 s.14
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    • pp.99-111
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    • 2004
  • An exact solution procedure is formulated for the free vibration and buckling analysis of rectangular plates having two opposite edges simply supported when these edges are subjected to linearly varying normal stresses. The other two edges may be clamped, simply supported or free, or they may be elastically supported. The transverse displacement (w) is assumed as sinusoidal in the direction of loading (x), and a power series is assumed in the lateral (y) direction (i.e., the method of Frobenius). Applying the boundary conditions yields the eigenvalue problem of finding the roots of a fourth order characteristic determinant. Care must be exercised to obtain adequate convergence for accurate vibration frequencies and buckling loads, as is demonstrated by two convergence tables. Some interesting and useful results for vibration frequencies and buckling loads, and their mode shapes, are presented for a variety of edge conditions and in-plane loadings, especially pure in-plane moments.

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