• Title/Summary/Keyword: Eigen value

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A Study on the Critical Speed of Railway Vehicles (철도차량의 임계속도에 관한 연구)

  • Jeong, U-Jin;Kim, Seong-Won
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.8 s.179
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    • pp.1991-1999
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    • 2000
  • This research has been performed to reveal the hysteresis phenomena of the hunting motion in a railway passenger car having a bolster. Since linear analysis can not explain them, bifurcation analysis is used to predict its outbreak velocities in this paper. However bifurcation analysis is attended with huge computing time, thus this research proposes more effective numerical algorithm to reduce it than previous researches. Stability of periodic solution is obtained by adapting of Floquet theory while stability of equilibrium solutions is obtained by eigen-value analysis. As a result, linear and nonlinear critical speed are acquired. Full scale roller rig test is carried out for the validation of the numerical result. Finally, it is certified that there are many similarities between numerical and test results.

Fatigue Life Prediction of FRP Composites under Uniaxial Tension and Pure Torsion Loadings (인장-비틀림 하중에 의한 섬유강화 복합재료의 피로수명 예측)

  • 박성완;이장규
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2003.04a
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    • pp.352-361
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    • 2003
  • A fatigue damage accumulation model based on the continuum damage mechanics theory was develope(1 where modules decay ratios in tension and shear on used as indicators for damage variables D . In the model, the damage variables are considered to be second-order tensors. Then the maximum principal damage variable, $D^*$ is introduced According to the similarity to the Principal stress, $D^*$ is obtained as the maximum eigen value of damage tensor [D']. Under proportional tension and torsion loadings, fatigue lives were satisfactorily predicted at any combined stress ratios using the present model in which the fatigue characteristics only under uniaxial tension and pure torsion loadings on needed. Fatigue life prediction under uniaxial tension and pure torsion loadings, was performed based on the damage mechanics using boundary element method.

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Fatigue Life Prediction of FRP Composites under Uniaxial Tension and Pure Torsion Loadings (인장-비틀림 하중에 의한 섬유강화 복합재료의 피로수명 예측)

  • Park Sung-Oan
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.13 no.6
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    • pp.64-73
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    • 2004
  • A fatigue damage accumulation model based on the continuum damage mechanics theory was developed where modulus decay ratios in tension and shear were used as indicators for damage variables D. In the model, the damage variables are considered to be second-order tensors. Then, the maximum principal damage variable, $D^*$ is introduced. According to the similarity to the principal stress, $D^*$ is obtained as the maximum eigen value of damage tensor [D]. Under proportional tension and torsion loadings, fatigue lives were satisfactorily predicted at any combined stress ratios using the present model in which the Fatigue characteristics only under uniaxial tension and pure torsion loadings were needed. Fatigue life prediction under uniaxial tension and pure torsion loadings, was performed based on the damage mechanics using boundary element method.

Dynamics of Track/Wheel Systems on High-Speed Vehicles

  • Kato Isamu;Terumichi Yoshiaki;Adachi Masahito;Sogabe Kiyoshi
    • Journal of Mechanical Science and Technology
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    • v.19 no.spc1
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    • pp.328-335
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    • 2005
  • For high speed railway vehicles, we consider a vibration of flexible track/wheel system. It is very important to deal with the complex phenomena of high-speed vehicles that can be occurred in the vertical vibration of the system. From a viewpoint of multibody dynamics, this kind of problem needs accurate analysis because the system includes mutual dynamic behaviors of rigid body and flexible body. The simulation technique for the complex problems is also discussed. We consider the high-speed translation, rail elasticity, elastic supports under the rail and contact rigidity. Eigen value analysis is also completed to verify the mechanism of the coupled vertical vibration of the system.

Dynamic Characterization of Large-scale Structures through Mobile-phone Application (휴대폰 애플리케이션을 통한 초대형 구조물의 동적특성 분석)

  • Jung, Young-Seok;Yoon, Sung-Won
    • Journal of Korean Association for Spatial Structures
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    • v.15 no.4
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    • pp.99-105
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    • 2015
  • The serviceability design of the high-rise building is affected by the wind response vibration such as the acceleration, at this time it is important to calculate the natural frequency correctly. Since the suggestion equation of the natural frequency being used in the design phase is not the regression equation obtained from the vibration measurement of the high-rise building, the verification to use for the serviceability design of the high-rise building is necessary. This thesis conducted an ambient vibration measuring on the high-rise building through the mobile-phone application to calculate the natural frequency and suggested a natural frequency approximate expression following the building's height, and compared with the domestic/foreign standard and the result of the eigen-value analysis.

A Study on Power Spectral Estimation of Background EEG with Pisarenko Harmonic Decomposition (Pisarenko Harmonic Decomposition에 의한 배경 뇌파 파워 스팩트럼 추정에 관한 연구)

  • Jeong, Myeong-Jin;Hwang, Su-Yong;Choe, Gap-Seok
    • Journal of Biomedical Engineering Research
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    • v.8 no.1
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    • pp.69-74
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    • 1987
  • The power spectrum of background EEG is estimated by the Plsarenko Harmonic Decomposition with the stochastic process whlch consists of the nonhamonic sinus Bid and the white nosie. The estimation results are examined and compared with the results from the maximum entropy spectral extimation, and the optimal order of this from the maximum entropy spectral extimation, and the optimal order of this model can be determined from the eigen value's fluctuation of autocorrelation of background EEG. From the comparing results, this method is possible to estimate the power spectrum of background EEG.

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A Theoretical Investigation on the Instability Phenomena of Induction Motor Drive System (유도전동기구동계(系)의 불안정현상에 관한 이론적고찰)

  • Baek, Soo-Hyun;Kim, Pill-Soo;Song, Sung-Joon;Kim, Yong
    • Proceedings of the KIEE Conference
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    • 1990.07a
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    • pp.7-10
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    • 1990
  • In this paper the instability analysis of Inverter fed Induction motor drive system is performed by calculate the eigen value of the linearised equation which describe the behavior of the Induction motor. Inverter fed Induction motor drive system may become unstable at low speeds(frequencies) even though balanced, sinusoidal voltage are applied. Effect for the change of machine parameter and Inverter delay time are simulated by digital computer.

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Effect of power law index for vibration of armchair and zigzag single walled carbon nanotubes

  • Khadimallah, Mohamed Amine;Hussain, Muzamal
    • Steel and Composite Structures
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    • v.37 no.5
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    • pp.621-632
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    • 2020
  • This research deals with the study of vibrational behavior of armchair and zigzag single-walled carbon nanotubes invoking extended Love shell theory. The effects of different physical and material parameters on the fundamental frequencies are investigated. By using volume fraction for power law index, the fundamental natural frequency spectra for two forms of single-walled carbon nanotubes are calculated. The influence of frequencies against length-to-diameter ratios with varying power law index are investigated in detail for these tubes. To discretize the governing equation in eigen-value form, wave propagation approach is developed. Complex exponential functions have been used and the axial model depends on boundary condition that has been described at the edges of carbon nanotubes to calculate the axial modal dependence. Computer software MATLAB is utilized for the frequencies of single-walled carbon nanotubes and current results shows a good stability with comparison of other studies.

Secondary buckling analysis of spherical caps

  • Kato, Shiro;Chiba, Yoshinao;Mutoh, Itaru
    • Structural Engineering and Mechanics
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    • v.5 no.6
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    • pp.715-728
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    • 1997
  • The aim of this paper is to investigate the secondary buckling behaviour and mode-coupling of spherical caps under uniformly external pressure. The analysis makes use of a rotational finite shell element on the basis of strain-displacement relations according to Koiter's shell theory (Small Finite Deflections). The post-buckling behaviours after a bifurcation point are analyzed precisely by considering multi-mode coupling between several higher order harmonic wave numbers: and on the way of post-buckling path the positive definiteness of incremental stiffness matrix of uncoupled modes is examined step by step. The secondary buckling point that has zero eigen-value of incremental stiffness matrix and the corresponding secondary mode are obtained, moreover, the secondary post-buckling path is traced.

A DESIGN METHOD OF LYAPUNOV-STABLE MMG FUZZY CONTROLLER

  • Hara, Fumio;Yamamoto, Kazuomi
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1993.06a
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    • pp.873-876
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    • 1993
  • A fuzzy controller designed by mini-max-gravity(MMG) method is essentially nonlinear with respect to the controller's input and output relationship, and stability analysis is thus needed to construct a stable control system. This paper deals with a design method of a position-type MMG fuzzy controller stable in a sense of Lyapunov when considered is a single-input-single-output linear, stable plant. We first introduce a method to construct a Laypunov function by using an eigen-value of A matrix of the linear, stable plant dynamics and then we derive an asymtotic stability condition in terms of scale factors for fuzzy state variables and controller gain. The stability condition is found reasonably practical through comparing the theoretical stability region with that obtained from simulations.

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