• Title/Summary/Keyword: Linear motion

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Bifurcation Analysis of a Non-linear Hysteretic Oscillating System (비선형 히스테리시스 진동시스템의 분기해석)

  • 장서일;송덕근;최진권
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.12 no.1
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    • pp.57-64
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    • 2002
  • Three kinds of viscoelastic damper model, which has a non-linear spring as an element is studied analytically and numerically The behavior of the damper model shows non-linear hysteresis curves which is qualitatively similar to those of real viscoelastic materials. The motion is governed by a non-linear constitutive equation and an additional equation of motion. Harmonic balance method is applied to get analytical solutions of the system. The frequency-response curves sallow that multiple solutions co-exist and that the jump phenomena can occur. In addition, it is shown that separate solution branch exists and that it can merge with the primary response curve. Saddle-node bifurcation sets explain the occurrences of such non-linear Phenomena.

Structural Characteristics Analysis of a High-Speed Horizontal Machining Center with Built-in Motor and Linear Motors (냉장형 모터와 리니어 모터를 적용한 초고속 수평형 머시닝센터의 구조 특성 해석)

  • 김석일;조재완
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2004.10a
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    • pp.326-333
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    • 2004
  • This paper presents the structural characteristics analysis of a high-speed horizontal machining center with spindle speed of 50, 000rpm and feedrate of 120m/min. The spindle system is designed based on the built-in motor, angular contact ceramic ball bearings, oil-air lubrication and oil-jacket cooling method. The X-axis and Y-axis feeding systems are composed of the linear motor and linear motion guides, and the Z-axis feeding system is composed of the servo-motor, ball screw and linear motion guide. The structural analysis model of the high-speed horizontal machining center is constructed by the finite element method, and the validity of structural design is estimated based on the structural deformation of the high-speed horizontal machining center and spindle nose caused by the gravity and inertia forces.

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A study on Measuring of Motion Accuracy of NC Machine Tools(No. 2) - about Measuring of Linear Cycle Positioning Accuracy of Machining Center - (NC 공작기계의 운동정도 측정에 관한 연구(제2보) -머시닝 센터의 직선 사이클 위치결정정도 측정에 관하여-)

  • Kim, Yeong Seok
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.7 no.3
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    • pp.51-51
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    • 1998
  • It is very important to test linear cycle positioning accuracy of Machining centers as it affect all other machines machined by them in industries. For example, if the linear positioning accuracy of each axes directions is bad, the size of works will be wrong and the change-ability will be bad in the assembly of machine parts. In this paper, measuring systems are organized to measure linear displacements of table or spindle of machine center using laser interferometer, magnescale and tick pulses comming out from computer in order to get data at constant time intervals from the sensors. And each set of data gotten from test is expressed to a plots by computer treatment and the results of linear positioning error motion is estimated to numerics by statistical treatments.

Characteristic Analysis of Tubular Type Linear Oscillating Actuator According to Permanent Magnet Array (영구자석 배열에 따른 Tubular형 직선 왕복 엑추에이터의 특성해석)

  • Jang, S.M.;Choi, J.Y.;Lee, S.H.;Cho, S.K.;Yoo, D.J.
    • Proceedings of the KIEE Conference
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    • 2003.07b
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    • pp.1048-1050
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    • 2003
  • Recently, many linear motion generators and motors are rapidly finding applications that ranges from short stroke linear motion vibrators, such as dynamic con type loud speakers to stilting engine driven linear reciprocating alternators, compressors, textile machines etc. In this paper, we analyze the characteristics of tubular linear motor with Halbach and radial magnet array respectively. We already derived magnetic field solutions due to the PMs and to the currents and Motor thrust. On the basis of analytical field solutions, this paper deals with flux linkages and back emf. The results are validated extensively by comparison with finite element analyses. Then, this parer also presents thrust characteristics according to design parameters for each model.

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Dynamic Characteristics Analysis of Tubular Type Linear BLDC Motor (원통형 리니어 BLDC 전동기의 동 특성 해석)

  • Kim, Tae-Hyun;Kim, Byong-Kuk;Hwang, Dong-Won;Lee, In-Jae;Jo, Won-Yung;Cho, Yun-Hyun
    • Proceedings of the KIEE Conference
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    • 2005.07b
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    • pp.1462-1464
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    • 2005
  • The demand for linear electrical machines, for both controlled motion and electrical power generation, has increased steadily in recent years. For example, for applications in the high-speed packaging and manufacturing sectors, linear electromagnetic machines, which provide thrust force directly to a payload without the need to convert rotary to linear motion, offer significant advantages in terms of simplicity, efficiency, positioning accuracy, and dynamic performance in both acceleration capability and bandwidth. So, this paper describes analysis the dynamic characteristics of Tubular Type Linear BLDC Motor by simulation and experiments.

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Experimental Verification on the Corrective Machining Algorithm for Improving the Motion Accuracy of Hydrostatic Bearing Tables

  • Park, Chun-Hong;Lee, Chan-Hong;Lee, Husang
    • International Journal of Precision Engineering and Manufacturing
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    • v.5 no.3
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    • pp.62-68
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    • 2004
  • Effectiveness of a corrective machining algorithm, which can construct the proper machining information to improve motion errors utilizing measured motion errors, is verified experimentally in this paper, Corrective machining process is practically applied to single and double side hydrostatic bearing tables. Lapping process is applied as a machining method. The machining information is obtained from the measured motion errors by applying the algorithm, without any information on the rail profile. In the case of the single-side table, after 3 times of corrective remachining, linear and angular motion errors are improved up to 0.13 $\mu\textrm{m}$ and 1.40 arcsec from initial error of 1.04 $\mu\textrm{m}$ and 22.71 arcsec, respectively. In the case of the double-side table, linear and angular motion error are improved up to 0.07 /$\mu\textrm{m}$ and 1.42 arcsec from the initial error of 0.32 $\mu\textrm{m}$ and 4.14 arcsec. The practical machining process is performed by an unskilled person after he received a preliminary training in machining. Experimental results show that the corrective machining algorithm is very effective and easy to use to improve the accuracy of hydrostatic tables.

Nonlinear vibration analysis of an electrostatically excited micro cantilever beam coated by viscoelastic layer with the aim of finding the modified configuration

  • Poloei, E.;Zamanian, M.;Hosseini, S.A.A.
    • Structural Engineering and Mechanics
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    • v.61 no.2
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    • pp.193-207
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    • 2017
  • In this study, the vibration of an electrostatically actuated micro cantilever beam is analyzed in which a viscoelastic layer covers a portion of the micro beam length. This proposed model is considered as the main element of mass and pollutant micro sensors. The nonlinear motion equation is extracted by means of Hamilton principle, considering nonlinear shortening effect for Euler-Bernoulli beam. The non-linear effects of electrostatic excitation, geometry and inertia have been taken into account. The viscoelastic model is assumed as Kelvin-Voigt model. The motion equation is discretized by Galerkin approach. The linear free vibration mode shapes of non-uniform micro beam i.e. the linear mode shape of the system by considering the geometric and inertia effects of viscoelastic layer, have been employed as comparison function in the process of the motion equation discretization. The discretized equation of motion is solved by the use of multiple scale method of perturbation theory and the results are compared with the results of numerical Runge-Kutta approach. The frequency response variations for different lengths and thicknesses of the viscoelastic layer have been founded. The results indicate that if a constant volume of viscoelastic layer is to be deposited on the micro beam for mass or gas sensor applications, then a modified configuration may be found by using the analysis of this paper.

Investigation of effectiveness of double concave friction pendulum bearings

  • Ates, Sevket
    • Computers and Concrete
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    • v.9 no.3
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    • pp.195-213
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    • 2012
  • This paper presents the investigation of the stochastic responses of seismically isolated bridges subjected to spatially varying earthquake ground motions including incoherence, wave-passage and site-response effects. The incoherence effect is examined by considering Harichandran and Vanmarcke coherency model. The effect of the wave-passage is dealt with various wave velocities in the response analysis. Homogeneous firm, medium and soft soil conditions are selected for considering the site-response effect where the bridge supports are constructed. The ground motion is described by filtered white noise and applied to each support points. For seismic isolation of the bridge, single and double concave friction pendulum bearings are used. Due to presence of friction on the concave surfaces of the isolation systems, the equation of motion of is non-linear. The non-linear equation of motion is solved by using equivalent linearization technique of non-linear stochastic analyses. Solutions obtained from the stochastic analyses of non-isolated and isolated bridges to spatially varying earthquake ground motions compared with each other for the special cases of the ground motion model. It is concluded that friction pendulum systems having single and double concave surfaces have important effects on the stochastic responses of bridges to spatially varying earthquake ground motions.

Regional Projection Histogram Matching and Linear Regression based Video Stabilization for a Moving Vehicle (영역별 수직 투영 히스토그램 매칭 및 선형 회귀모델 기반의 차량 운행 영상의 안정화 기술 개발)

  • Heo, Yu-Jung;Choi, Min-Kook;Lee, Hyun-Gyu;Lee, Sang-Chul
    • Journal of Broadcast Engineering
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    • v.19 no.6
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    • pp.798-809
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    • 2014
  • Video stabilization is performed to remove unexpected shaky and irregular motion from a video. It is often used as preprocessing for robust feature tracking and matching in video. Typical video stabilization algorithms are developed to compensate motion from surveillance video or outdoor recordings that are captured by a hand-help camera. However, since the vehicle video contains rapid change of motion and local features, typical video stabilization algorithms are hard to be applied as it is. In this paper, we propose a novel approach to compensate shaky and irregular motion in vehicle video using linear regression model and vertical projection histogram matching. Towards this goal, we perform vertical projection histogram matching at each sub region of an input frame, and then we generate linear regression model to extract vertical translation and rotation parameters with estimated regional vertical movement vector. Multiple binarization with sub-region analysis for generating the linear regression model is effective to typical recording environments where occur rapid change of motion and local features. We demonstrated the effectiveness of our approach on blackbox videos and showed that employing the linear regression model achieved robust estimation of motion parameters and generated stabilized video in full automatic manner.

Numerical Integration of Non-linear Equation of Motion using Operation of Integration (적분행렬을 이용한 비선형 운동방정식 수치적분)

  • Lee, Donghun;Kwon, Jae-Wook;Choi, Sujin;Rew, Dong-Young;Ju, Gwanghyeok
    • Aerospace Engineering and Technology
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    • v.13 no.2
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    • pp.60-65
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    • 2014
  • In this paper, numerical integration method using operational matrix of integration is studied. Using the operational matrix of integration, modified fixed point iteration method is introduced in order to solve rapidly an initial value problem for non-linear equation of motion. As an example, an initial value problem for orbital motion is considered. Through the numerical example, it is shown that the algorithm is efficient from the computational time point of view.