• Title/Summary/Keyword: Linear motion

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Non-linear transverse vibrations of tensioned nanobeams using nonlocal beam theory

  • Bagdatli, Suleyman M.
    • Structural Engineering and Mechanics
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    • v.55 no.2
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    • pp.281-298
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    • 2015
  • In this study, nonlinear transverse vibrations of tensioned Euler-Bernoulli nanobeams are studied. The nonlinear equations of motion including stretching of the neutral axis and axial tension are derived using nonlocal beam theory. Forcing and damping effects are included in the equations. Equation of motion is made dimensionless via dimensionless parameters. A perturbation technique, the multiple scale methods is employed for solving the nonlinear problem. Approximate solutions are applied for the equations of motion. Natural frequencies of the nanobeams for the linear problem are found from the first equation of the perturbation series. From nonlinear term of the perturbation series appear as corrections to the linear problem. The effects of the various axial tension parameters and different nonlocal parameters as well as effects of different boundary conditions on the vibrations are determined. Nonlinear frequencies are estimated; amplitude-phase modulation figures are presented for simple-simple and clamped-clamped cases.

Free vibration analysis of axially moving beam under non-ideal conditions

  • Bagdatli, Suleyman M.;Uslu, Bilal
    • Structural Engineering and Mechanics
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    • v.54 no.3
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    • pp.597-605
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    • 2015
  • In this study, linear vibrations of an axially moving beam under non-ideal support conditions have been investigated. The main difference of this study from the other studies; the non-ideal clamped support allow minimal rotations and non-ideal simple support carry moment in minimal orders. Axially moving Euler-Bernoulli beam has simple and clamped support conditions that are discussed as combination of ideal and non-ideal boundary with weighting factor (k). Equations of the motion and boundary conditions have been obtained using Hamilton's Principle. Method of Multiple Scales, a perturbation technique, has been employed for solving the linear equations of motion. Linear equations of motion are solved and effects of different parameters on natural frequencies are investigated.

Transient Linear Viscoelastic Stress Analysis Based on the Equations of Motion in Time Integral (시간적분형 운동방정식에 근거한 동점탄성 문제의 응력해석)

  • Lee, Sung-Hee;Sim, Woo-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.9
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    • pp.1579-1588
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    • 2003
  • In this paper, the finite element equations for the transient linear viscoelastic stress analysis are presented in time domain, whose variational formulation is derived by using the Galerkin's method based on the equations of motion in time integral. Since the inertia terms are not included in the variational formulation, the time integration schemes such as the Newmark's method widely used in the classical dynamic analysis based on the equations of motion in time differential are not required in the development of that formulation, resulting in a computationally simple and stable numerical algorithm. The viscoelastic material is assumed to behave as a standard linear solid in shear and an elastic solid in dilatation. To show the validity of the presented method, two numerical examples are solved nuder plane strain and plane stress conditions and good results are obtained.

A Diagnosis system of misalignments of linear motion robots using transfer learning (전이 학습을 이용한 선형 이송 로봇의 정렬 이상진단 시스템)

  • Su-bin Hong;Young-dae Lee;Arum Park;Chanwoo Moon
    • The Journal of the Convergence on Culture Technology
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    • v.10 no.3
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    • pp.801-807
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    • 2024
  • Linear motion robots are devices that perform functions such as transferring parts or positioning devices, and require high precision. In companies that develop linear robot application systems, human workers are in charge of quality control and fault diagnosis of linear robots, and the result and accuracy of a fault diagnosis varies depending on the skill level of the person in charge. Recently, there have been many attempts to utilize artificial intelligence to diagnose faults in industrial devices. In this paper, we present a system that automatically diagnoses linear rail and ball screw misalignment of a linear robot using transfer learning. In industrial systems, it is difficult to obtain a lot of learning data, and this causes a data imbalance problem. In this case, a transfer learning model configured by retraining an established model is widely used. The information obtained by using an acceleration sensor and torque sensor was used, and its usefulness was evaluated for each case. After converting the signal obtained from the sensor into a spectrogram image, the type of abnormality was diagnosed using an image recognition artificial intelligence classifier. It is expected that the proposed method can be used not only for linear robots but also for diagnosing other industrial robots.

A Study on Measuring of Motion Accuracy of NC Machine Tools(No.1) -about Measuring of Linear Cycle Positioning Accuracy of NC Lathe (NC 공작기계의 운동정도 측정에 관한 연구(제1보) - NC 선반의 직선 사이클 위치결정정도 측정에 관하여 -)

    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.7 no.1
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    • pp.82-88
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    • 1998
  • It is very important to test linear cycle positioning accuracy of NC lathes as it affect all other machines machined by them in industries. For example, if the linear positioning accuracy of x or z-axis 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 displacement of ATC(Automatic tool changer) of NC lathe using laser interferometer, magnescale and tick pulses coming 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.

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Force Characteristic Analysis of Linear Motor to Reduce Manufacturing Error in A Linear Motion Machine Tool (선형 운동 공작기계의 가공오차 저감을 위한 리니어 모터의 힘 특성 해석)

  • Cho, Han-Wook;Han, Cheol;Choi, Jang-Young;Choi, Sang-Gyu;Park, Cheol-Ho;Jang, Seok-Myeong
    • Proceedings of the KIEE Conference
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    • 2011.07a
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    • pp.1081-1082
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    • 2011
  • In order to predict the accuracy of the linear motion machine tools, the force characteristics such as the detent force, the attraction force and the moment are estimated by analytical method or FEM. In this paper, we proposed the analytical calculation process for the force characteristics of a linear motor. The analytical results are good agreement with FEM one. They could be used for the precision prediction simulator with the information of linear bearings, encoders, etc.

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Development of a Aerostatic Guideway Driven by the Linear Motor (리니어모터를 이용한 초정밀 공기정압안내면 개발)

  • 박종하;황주호;박천홍;홍준희
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2003.10a
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    • pp.36-40
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    • 2003
  • In order to discuss the availability of aerostatic guideways driven by the coreless linear motor to ultra precision machine tools, a prototype of guideway is designed and tested in this research. A coreless linear DC motor with the continuous force of 156N and a laser scale with the resolution of $0.01\mu\textrm{m}$ are used as the feeding system. The experiments are performed on the static stiffness, motion accuracy, positioning accuracy, microstep response and variation of velocity. The guideway also has $0.21\mu\textrm{m}$ of positioning error and $0.09\mu\textrm{m}$ of repeatability, and it shows the stable response against the $0.01\mu\textrm{m}$ resolution step command. The velocity variation of feeding system is less than 0.6%. From these results, it is confirmed that the aerostatic guideway driven by the coreless linear motion is very useful for the ultra precision machine tools.

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Development of Simulation Tool for Dynamic Behavior of a Linear Compressor (선형 압축기의 동적 거동 예측 Simulation Tool 개발)

  • Jeon, Soo-Hong;Jeong, Weui-Bong;Lee, Hyo-Jae;Kim, Dang-Ju
    • Journal of Advanced Marine Engineering and Technology
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    • v.33 no.4
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    • pp.476-483
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    • 2009
  • A linear compressor used in a refrigerator has higher energy efficiency than a reciprocating compressor, but its vibration level is still severe than others. The vibration level of linear compressor at the frequency of 60Hz is dominant since it is the exciting frequency of a motor. In this paper, a simulation tool to predict the shell vibration of the linear compressor was developed. The shell and body parts in a compressor were assumed to be 3-dimensional rigid body having both translational and rotational motion, while the reciprocating piston part has only 1-dimensional translational motion. The flexible loop-pipe was modeled by in-house code of finite element method. To verify the developed tool, five cases of different loop-pipe shapes were examined experimentally. The results by the developed tool showed good agreements with those by experiments.

Fundamental Study of an Integrated Control Method for a Linear Motor Driven Container Crane System

  • An, Sang-Beak;Taniguchi, Yuki;Yamamoto, Shigehiro;Azukizawa, Teruo
    • Journal of Advanced Marine Engineering and Technology
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    • v.33 no.7
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    • pp.1060-1067
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    • 2009
  • The authors have proposed a linear motor driven container crane system, in which the linear motor to drive trolley chassis is also used to control swaying motion of a hanging container. To utilize the proposed system, it is needed to develop a power saving control system for the linear drive system. In this paper, an integrated control system to minimize required electric power to drive a trolley chassis with the suppressed swaying motion of a hanged container, is proposed. The validity of the proposed control system is investigated by the simulation using Simulink.

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

  • 송덕근;최진권;장서일
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.05a
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    • pp.289-294
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    • 2001
  • 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 analytic solutions of the system. The frequency-response curves show 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.

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