• Title/Summary/Keyword: Non-linear Vibration

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Analysis of Damped Vibration Signal Using Empirical Mode Decomposition Method (경험 모드 분리법을 이용한 감쇠 진동 신호의 분석)

  • Lee, Injae;Lee, Jong-Min;Hwang, Yoha;Huh, Kunsoo
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.15 no.2 s.95
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    • pp.192-198
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    • 2005
  • Empirical mode decomposition(EMD) method has been recently proposed to analyze non-linear and non-stationary data. This method allows the decomposition of one-dimensional signals into intrinsic mode functions(IMFs) and is used to calculate a meaningful multi-component instantaneous frequency. In this paper, it is assumed that each mode of damped vibration signal could be well separated in the form of IMF by EMD. In this case, we can have a new powerful method to calculate natural frequencies and dampings from damped vibration signal which usually has multiple modes. This proposed method has been verified by both simulation and experiment. The results by EMD method whichhas used only output vibration data are almost identical to the results by FRF method which has used both input and output data, thereby proving usefulness and accuracy of the proposed method.

Analysis of Damped Vibration Signal using Empirical Mode Decomposition Method (경험 모드 분석법을 이용한 감쇠 진동 신호의 분석)

  • Lee, In-Jae;Lee, Jong-Min;Hwang, Yo-Ha;Huh, Kun-Soo
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.11a
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    • pp.699-704
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    • 2004
  • Empirical mode decomposition(EMD) method has been recently proposed to analyze non-linear and non-stationary data. This method allows the decomposition of one-dimensional signals into intrinsic mode functions(IMFs) and is used to calculate a meaningful multi-component instantaneous frequency. In this paper, it is assumed that each mode of damped vibration signal could be well separated in the form of IMF by EMD. In this case, we can have a new powerful method to calculate natural frequencies and dampings from damped vibration signal which usually has multiple modes. This proposed method has been verified by both simulation and experiment. The result by EMD method which has used only output vibration data is almost identical to the result by FRF method which has used both input and output data, thereby proving usefulness and accuracy of the proposed method.

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Vibration analysis of heterogeneous nonlocal beams in thermal environment

  • Ebrahimi, Farzad;Barati, Mohammad Reza
    • Coupled systems mechanics
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    • v.6 no.3
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    • pp.251-272
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    • 2017
  • In this paper, the thermo-mechanical vibration characteristics of functionally graded (FG) nanobeams subjected to three types of thermal loading including uniform, linear and non-linear temperature change are investigated in the framework of third-order shear deformation beam theory which captures both the microstructural and shear deformation effects without the need for any shear correction factors. Material properties of FG nanobeam are assumed to be temperature-dependent and vary gradually along the thickness according to the power-law form. Hence, applying a third-order shear deformation beam theory (TSDBT) with more rigorous kinetics of displacements to anticipate the behaviors of FG nanobeams is more appropriate than using other theories. The small scale effect is taken into consideration based on nonlocal elasticity theory of Eringen. The nonlocal equations of motion are derived through Hamilton's principle and they are solved applying analytical solution. The obtained results are compared with those predicted by the nonlocal Euler-Bernoulli beam theory and nonlocal Timoshenko beam theory and it is revealed that the proposed modeling can accurately predict the vibration responses of FG nanobeams. The obtained results are presented for the thermo-mechanical vibration analysis of the FG nanobeams such as the effects of material graduation, nonlocal parameter, mode number, slenderness ratio and thermal loading in detail. The present study is associated to aerospace, mechanical and nuclear engineering structures which are under thermal loads.

Gravity and Angular Velocity Profile Effects on the Balancing Performance of an Automatic Ball Balancer (자동볼평형장치의 밸런싱 성능에 대한 중력과 속도파형의 영향)

  • 정진태;정두한
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.11a
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    • pp.418-423
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    • 2003
  • The balancing performance of an automatic ball balancer (ABB) in the vertical or horizontal position is studied in this paper. Considering the effects of gravity and angular velocity profiles, a physical model for an ABB installed on the Jeffcott rotor is adopted. The non-linear equations of motion for the rotor with ABB are derived by using Lagrange's equation. Based on derived equations, dynamic responses for the rotor are computed by using the generalized-u method. From the computed responses, the effects of gravity and angular velocity profiles on the balancing performance are investigated. It is found that the rotor with ABB can be balanced regardless of the gravity effect. It is also shown that a smooth velocity profile yields relatively smaller vibration amplitude than a non-smooth velocity profile.

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Natural Frequency Analysis of a NPT with Honeycomb Spokes (Honeycomb 스포크로 된 비공기압 타이어의 고유진동수 해석)

  • Jo, Hong-Jun;Lee, Chi-Hoon;Kim, Ki-Hong;Kim, Kam-Chan;Kim, Doo-Man
    • Journal of Aerospace System Engineering
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    • v.5 no.2
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    • pp.33-39
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    • 2011
  • The vibration characteristic of tires is one of very important issues which heavily affect the noise and comfort on driving. Therefore, when the new tire is designed, the vibration characteristic of tire should be considered. In this paper, the vibration characteristic of non-pneumatic tire is investigated for geometric of NPT which is designed by cell angle of spoke. The analysis is based on the finite element method and used ABAQUS program, which is able to non-linear analysis. The material of NPT is used for the Ogden energy model, which is model of hyperelastic material. This paper investigate natural frequency and modal of NPT and compare result of NPT with it of pneumatic tire.

Spectral Analysis Method for the Multi-DOFs Dynamic Systems with Non-Proportional Damping (비비례 진동감쇠를 갖는 선형 동역학계의 스펙트럴 해석법)

  • Cho, Joo-Yong;Kim, Sung-Hwan;Lee, U-Sik
    • Proceedings of the KSR Conference
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    • 2004.10a
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    • pp.411-416
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    • 2004
  • This paper introduces a fast Fourier transform (FFT)-based spectral analysis method for the transient responses as well as the steady-state responses of linear dynamic systems with non-proportional damping. The force vibration of a non-proportionally damped three-DOF system is considered as the illustrative numerical example. The proposed spectral analysis method is evaluated by comparing with the numerical solution obtained by the Runge-Kutta method

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Analysis of a cantilever bouncing against a stop according to Timoshenko beam theory

  • Tsai, Hsiang-Chuan;Wu, Ming-Kuen
    • Structural Engineering and Mechanics
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    • v.5 no.3
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    • pp.297-306
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    • 1997
  • The bouncing of a cantilever with the free end pressed against a stop can create high-frequency vibration that the Bernoulli-Euler beam theory is inadequate to solve. An analytic procedure is presented using Timoshenko beam theory to obtain the non-linear response of a cantilever supported by an elastic stop with clearance at the free end. Through a numerical example, the bouncing behavior of the Timoshenko and Bernoulli-Euler beam models are compared and discussed.

Performance of Rotational Friction Dampers Under earthquake excitation (회전형 Friction Damper의 거동 특성 연구)

  • 배춘희;박영필
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.05a
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    • pp.810-813
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    • 2004
  • A study on the dynamic response of single-storey steel frames equipped with a rotational friction damper is presented. Extensive testing was carried out for assessing the friction pad material, damper unit performance and foaled model frame response to lateral harmonics excitation. Numerical simulations based on non-linear time history analysis were used to evaluate the seismic behaviour of steel frames with rotational frictional damper. It Is demonstrated that using discrete friction dampers of proper parameters to link steel frame can reduce dynamic response significantly.

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Vibration Control of Magnetic Levitation System with a Flexible Rail (유연한 레일을 갖는 자기부상시스템의 진동제어)

  • Kim, Jong-Moon;Park, Min-Kook;Kim, Seok-Joo
    • Proceedings of the KIEE Conference
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    • 2002.11c
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    • pp.349-352
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    • 2002
  • In this paper, a rail-vibration controller of magnetic levitation system is designed and implemented. The target plant to be controlled is electro-magnetic type which is open-loop unstable, highly non-linear and time-varying system. The designed controller is validated by some kinds of experiments.

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A Study on the Characteristics of the Suspension Components of Rolling Stocks in the Very low Temperature (극한 온도에서의 철도차량용 현가부품의 특성연구)

  • Choi, Byoung-Il;Na, Hee-Seung;Jang, Seung-Ho
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.11a
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    • pp.45-48
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    • 2004
  • This study is a preview of characteristics of (1st/2nd) rubber suspension parts in low temperature, it will be researched before Trans Korean Railway and continental railway network connection. Rubber material characteristics are different to steel materials. Behavior of rubber material shows large deformation in hyper-elastic region. Moreover, added dashpot and low temperature condition shows various non-linear characteristics.

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