• Title/Summary/Keyword: Damped vibration

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Analytical Method to Analyze the Effect of Tolerance on the Modal Characteristic of Multi-body Systems in Dynamic Equilibrium (동적 평형위치에 있는 다물체계의 모드특성에 미치는 공차의 영향 분석을 위한 해석적 방법)

  • Kim, Bum-Suk;Yoo, Hong-Hee
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.05a
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    • pp.109-114
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    • 2007
  • Analytical method to analyze the effect of tolerance on the modal characteristic of multi-body systems in dynamic equilibrium position is suggested in this paper. Monte-Carlo Method is conventionally employed to perform the tolerance analysis. However, Monte-Carlo Method spends too much time for analysis and has a greater or less accuracy depending on sample condition. To resolve these problems, an analytical method is suggested in this paper. By employing the sensitivity information of mass, damping and stiffness matrices, the sensitivities of damped natural frequencies and the transfer function can be calculated at the dynamic equilibrium position. The effect of tolerance on the modal characteristic can be analyzed from tolerance analysis method.

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On the Approximate Solution of Nonclassically Damped Linear Systems under Random Excitations (비고전적 감쇠를 갖는 랜덤 진동계의 근사적 해석기법에 대한 연구)

  • 황재혁;유병성;박지상
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1998.04a
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    • pp.108-113
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    • 1998
  • Nonclassically damping comes from drastic variations of energy absorption rates of the materials in different parts of structures, or from the external damping sources inserted into the structures. In this study, an approximate method based on the real valued normal modes to analyze the responses of a nonclassically damped system under stationary random excitations has been suggested. The dynamic responses of an aircraft landing gear under stationary random excitations has been analyzed using the proposed method. It has been found by a series of simulation that this method is superior to other approaches in respect of computational effort and accuracy.

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Vibration Analysis of the Active Multi-Layer Beams by Using Spectrally Formulated Exact Natural Modes

  • Lee, Usik;Kim, Joohong;Andrew Y. T. Leung
    • Journal of Mechanical Science and Technology
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    • v.15 no.2
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    • pp.199-209
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    • 2001
  • Modal analysis method (MAM) is introduced for the fully coupled structural dynamic problems. In this paper, the beam with active constrained layered damping (ACLD) treatment is considered as a representative problem. The ACLD beam consists of a viscoelastic layer that is sandwiched between the base beam structure and an active piezoelectric layer. The exact damped natural modes are spectrally formulated from a set of fully coupled dynamic equations of motion. The orthogonality property of the exact damped natural modes is then derived in a closed form to complete the modal analysis method. The accuracy of the present MAM is evaluated through some illustrative examples: the dynamic characteristics obtained by the present MAM are compared with the results by spectral element method (SEM) and finite element method (FEM). It is numerically proved that MAM solutions become identical to the accurate SEM solutions as the number of exact natural used in MAM is increased.

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Checking Techniques for Missed Eigenvalues of Nonproportionally Damped System (비비례감쇠 시스템의 고유치해석에 필요한 누락고유치 검사기법)

  • 정형조;조지성;김병완;이인원
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.05a
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    • pp.948-951
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    • 2004
  • This paper introduces the two recently developed checking techniques far missed eigenvalues of nonproportionally damped system. The first technique is based on the argument principle. On the other hand, the second one is based on Rombouts' algorithm and Gleyse's theorem, which has been known as the effective and well-proven method. In the paper, the main features of the two techniques are explained and their effectiveness is also investigated by considering a numerical example.

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Improved Algebraic Method for Computing Eigenpair Sensitivities of Damped System (감쇠 시스템의 고유진동수와 모드의 미분을 구하기 위한 대수적 방법의 개선)

  • Jo, Hong-Ki;Ko, Man-Gi;Lee, In-Won
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.501-507
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    • 2000
  • This paper presents a very simple procedure for determining the sensitivities of the eigenpairs of damped vibratory system with distinct eigenvalues. The eigenpairs derivatives can be obtained by solving algebraic equation with a symmetric coefficient matrix whose order is (n+1) ${\times}$ (n+1), where n is the number of degree of freedom the mothod is an improvement of recent work by I. W. Lee, D. O. Kim and G. H. Jung; the key idea is that the eigenvalue derivatives and the eigenvector derivatives are obtained at once via only one algebraic equation, instead of using two equations separately as like in Lee and Jung's method. Of course, the method preserves the advantages of Lee and Jung's method.

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Effects of parameters of a linear dynamic vibration absorber on the vibrational characteristics of damped vibrational systems (선형동흡진기의 매개변수가 감쇠진동계의 진동특성에 미치는 영향)

  • Yoon, Jang-Sang;Lee, Yang-U;Song, Chang-Seop
    • Journal of the Korean Society for Precision Engineering
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    • v.6 no.4
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    • pp.136-144
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    • 1989
  • This paper presents the vibrational characteristics of linear damped vibrational systems with a linear dynamic absorber. The amplitude ratios of main vibrational system are derived from the equation of motion for the system, and optimal natural frequency ratio and damping ratio of dynamic absorber are obtained by computer simu- lation, which minimize the amplitude ratio of main vibrational system for the whole range of the frequency ratio. And, the effects of the parameters on the amplitude ratios are investigated. As the results, the effect of the natural frequency ratio on the amplitude ratio of main vibrational system is more important than that of the damping ratio of dynamic absorber as damping ratio of main vibrational system becomes larger. For the case of large damping ration of main vibrational system becomes larger. For the case of large damping ratio of main vibration system, the amplitude ratios are not decreased dramationally in spite of inoreasing mass ratio.

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A study on the dynamic vibration absorber having non-linear spring and linear damper (非線型 스프링과 線型감쇠를 가지는 動吸振器에 관한 硏究)

  • 김광식;안찬우
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.3
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    • pp.473-478
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    • 1987
  • In this paper the optimum values of natural frequency ratio and damping ratio for damped systems were studied by numerical analysis. The relation between the amplitude ratio and frequency ratio obtained for the non-linear dynamic vibration absorber was found and it was compared with that of linear system. The results shows that the optimum frequency ratio decreases and the optimum damping ratio increases when the mass ratio of the damped system increases. The resonance frequency ratio and amplitude ratio decrease as mass ratio increases for the non-linear spring system.

Theoretical and experimental modal responses of adhesive bonded T-joints

  • Kunche, Mani Chandra;Mishra, Pradeep K.;Nallala, Hari Babu;Hirwani, Chetan K.;Katariya, Pankaj V.;Panda, Subhransu;Panda, Subrata K.
    • Wind and Structures
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    • v.29 no.5
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    • pp.361-369
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    • 2019
  • The modal frequency responses of adhesive bonded T-joint structure have been analyzed numerically and verified with own experimental data. For this purpose, the damped free frequencies of the bonded joint have been computed using a three-dimensional finite element model via ANSYS parametric design language (APDL) code. The practical relevance of the joint structure analysis has been established by comparing the simulation data with the in-house experimental values. Additionally, the influences of various geometrical and material parameters on the damped free frequency responses of the joint structure have been investigated and final inferences discussed in details. It is observed that the natural frequency values increase for the higher aspect ratios of the joint structure. Also, the joint made up of Glass fiber/epoxy with quasi-isotropic fiber orientation indicates more resistance towards free vibration.

Study on Measurements of the In-Plane Vibration Intensity In a Beam With a Damped End (감쇠 단을 갖는 보의 면내 진동인텐시티 측정에 관한 연구)

  • Kim Chang-Yeol;Kil Hyun-Gwon;Hong Suk-Yoon
    • The Journal of the Acoustical Society of Korea
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    • v.24 no.7
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    • pp.371-378
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    • 2005
  • The objective or this paper is to measure the in-plane vibration intensity of a beam with a damped end that means the magnitude and direction of vibration power. Three experimental methods have been implemented to measure the in-plane vibration intensity over the beam. The first method is the accelerometer array method using two accelerometers. The second method is the frequency response function method using the only one accelerometer. The third method is the reference accelerometer method using a fixed reference accelerometer and another moving accelerometer. Those methods have been used to measure the spatial distribution of in-plane vibration intensity over the beam. The results obtained with those methods have been compared with each other. The results have been compared with an input power. It showed that the frequency response function method and the reference accelerometer method as well as the accelerometer array method can be effectively used to measure the in-plane vibration intensity in beams.

Development of precision vibration isolation table and study of dynamic characteristics with experiment (정밀 제진대 개발 및 동특성에 관한 실험적 연구)

  • 김인수;김종연;한문성;김영중
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.11a
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    • pp.329-334
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    • 2001
  • Recently, the high precision technology can not be developed continuously if we don't have anti vibration technology. Vibration isolation technology using an air spring and laminated robber bearing is widely used because it has excellent vibration isolation characteristics. We developed high precision vibration table with two good element(air spring and LRB) for semiconductor factory. Air Spring is used for isolating the vertical vibration and LRB is used for isolating the horizontal Vibration. As a result, It has D-Class degree in BBR-Criteria. In this paper, we talk about orifice characteristics in the self-damped air spring and design flow of the laminated robber bearing. The orifice characteristics is delicate shade of length and diameter. When we do experimentation to find orifice characteristics, length is fixed and diameter is changed. The orifice diameter is the wider and the air spring stiffness is the softer.

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