• Title/Summary/Keyword: Excitation Trajectory

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Characteristics of Pulse Width Modulation(PWM) Excitation of Ultrasonic Elliptical Vibration Cutting Device (초음파 진동절삭기의 펄스폭변조 가진 특성)

  • Loh, Byoung Gook;Kim, Gi Dae
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.13 no.1
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    • pp.59-65
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    • 2014
  • To obtain an elliptical trajectory at the cutting edge during elliptical vibration cutting, sinusoidal voltage excitations of two piezoelectric actuators have commonly been used. In this study, PWM excitation, which is relatively simple to generate, was employed and its characteristics were investigated. In experimental and analytical analyses, we found that for PWM excitation, the integer-multiple frequencies of the excitation voltage distorted the shape of the elliptical trajectory, whereas at a duty ratio(DR) of 50%, the distortion of the elliptical trajectory was minimized due to disappearance of the first overtone. When the magnitude of the maximum excitation voltage was maintained at the same level for both PWM and sinusoidal excitation, PWM (DR=50%) excitation produced a greater vibration amplitude than sinusoidal excitation but resulted in more rapid saturation of a high-frequency power amplifier.

Development of Excitation Table for 2-dimensional Vibrational Micro Cutting (2차원 진동 미세가공을 위한 가진테이블 개발)

  • Kim, Gi-Dae;Lee, Kang-Hee
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.11 no.3
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    • pp.62-67
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    • 2012
  • To realize 2-dimensional vibrational micro cutting in milling and drilling, etc. where the tools rotate, it could be a promising way to vibrate a workpiece instead of a rotating tool itself. In this study, an excitation work-table was developed using two piezoelectric materials orthogonally arranged. The trochoidal trajectory of a cutting tool which is necessary for 2D vibrational cutting is enabled in the excitation condition of higher excitation frequency and larger amplitude of vibration and the cutting condition of smaller diameter of cutting tool and lower spindle speed. The various trochoidal trajectories of a cutting tool could be generated in the excitation work-table by adjusting the input voltages to two piezoelectric materials and the phase between the two voltages and the trajectories could be readily used for the 2D vibrational micro cutting.

Rocking Vibration of Rigid Block Structure Accompaning Sliding Motion - In the Case of Two Dimensional Harmonic Excitation with Different Frequencies - (미끄럼운동을 동반하는 강체 블록 구조물의 로킹진동 - 수평방향과 수직방향의 여진진동수가 다른 경우에 대하여 -)

  • Jeong, Man-Yong;Kim, Jeong-Ho;Yang, In-Young
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.6
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    • pp.879-889
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    • 2003
  • This research deals with the nonlinearities of rocking vibration associated with impact and sliding on the rocking behavior of rigid block under two dimensional sinusoidal excitation which has different frequencies in two excitation direction. The varied excitation direction influences not only the rocking response but also the sliding motion and the rocking response shape. Chaotic responses are observed in wider excitation amplitude region, when the frequencies in each excitation direction are different. The complex behavior of chaotic response, in the phase space, is related with the trajectory of base excitation and sliding motion.

RESONANT MOTION OF A PARTICLE ON AN AXISYMMETRIC CONTAINER SUBJECT TO HORIZONTAL EXCITATION

  • Suh, Yong-Kweon
    • Journal of Theoretical and Applied Mechanics
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    • v.2 no.1
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    • pp.51-70
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    • 1996
  • This study is generalization of the study of Miles[Physica 11D, 1984, pp.309-323]on the resonant motion of a spherical pendulum, which is equivalent to a particle on a spherical container subject to a linear, horizontal excitation. This study covers an arbitrary shape of container and a more general excitation (horizontal but elliptic motion). The averaging method is applied to reduce the governing equations to an autonomous system with cubic nonlinear terms, under the assumption of small amplitude of the container motion. It is shown that both the container shape and the excitation pattern affect the particle dynamics. Under the linear excitation, the anharmonic motion of the particle is possible only for a certain finite range of the parameter a controling the container shape. Stability of the particle's harmonic motion is also influenced by the excitation pattern; as the excitation trajectory becomes closer to a circle, the particle's motion has a stronger tendency to become stable and to follow the rotational direction of the excitation. Under a circular excitation, the motion is always stable and circular with the same rotational direction as the excitation. Analogy between the present model and that of the surface wave inside a circular is studied quantitatively.

Interaction of Gas-phase Atomic Hydrogen with Chemisorbed Oxygen Atoms on a Silicon Surface

  • Lee, Sang-Kwon;Ree, Jong-Baik;Kim, Yoo-Hang;Shin, Hyung-Kyu
    • Bulletin of the Korean Chemical Society
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    • v.32 no.5
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    • pp.1527-1533
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    • 2011
  • The reaction of gas-phase atomic hydrogen with oxygen atoms chemisorbed on a silicon surface is studied by use of the classical trajectory approach. We have calculated the probability of the OH formation and energy deposit of the reaction exothermicity in the newly formed OH in the gas-surface reaction H(g) + O(ad)/Si${\rightarrow}$ OH(g) + Si. All reactive events occur in a single impact collision on a subpicosecond scale, following the Eley-Rideal mechanism. These events occur in a localized region around the adatom site on the surface. The reaction probability is dependent upon the gas temperature and shows the maximum near 1000 K, but it is essentially independent of the surface temperature. The reaction probability is also independent upon the initial excitation of the O-Si vibration. The reaction energy available for the product state is carried away by the desorbing OH in its translational and vibrational motions. When the initial excitation of the O-Si vibration increases, translational and vibrational energies of OH rise accordingly, while the energy shared by rotational motion varies only slightly. Flow of energy between the reaction zone and the solid has been incorporated in trajectory calculations, but the amount of energy propagated into the solid is only a few percent of the available energy released in the OH formation.

Elliptical Vibration Cutting with Variable Trajectory for Ultra-precision Micro-Machining (초정밀 미세가공을 위한 궤적 변화에 따른 타원 궤적 진동 절삭)

  • Kim, Gi-Dae;Loh, Byoung-Gook
    • Journal of the Korean Society for Precision Engineering
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    • v.24 no.11
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    • pp.52-58
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    • 2007
  • A cutting device capable of generating various shapes of the cyclic elliptical trajectory of a cutting tool was proposed and micro v-grooving experiments were performed to investigate the characteristics of elliptical vibration cutting (EVC). The proposed cutting device is comprised of a pair of parallel piezoelectric actuators with which harmonic voltages of varying phase difference and magnitude are supplied, creating various shapes of the elliptical tool path. The attributes of the elliptical locus involving the direction of the axis of an ellipse, the rotational direction and amplitudes of a trajectory were fine-tuned for stable operation of the EVC. The EVC characteristics performed with brass and copper revealed reduction in the cutting resistance and suppression of burr formation, resulting in the enhancement of form accuracy of machined micro-features. While the effect of the EVC increases with the increase of excitation frequency and the amplitude, it is found that a change in the cutting force decreases as the amplitude of an elliptical locus increases.

Design of Shaking Beam for Piezoelectric Linear Ultrasonic Motor

  • Yoon, Seok-Jin;Park, Ji-Won;Kim, Sang-Jong;Yu, Yeon-Tae;Kim, Hyun-Jai
    • Journal of the Korean Ceramic Society
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    • v.40 no.11
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    • pp.1062-1066
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    • 2003
  • Design of a piezoelectric actuator for the ultrasonic motor must ensure that contact point has elliptic trajectory of movement. The new idea of an elliptic trajectory formation of the piezoelectric actuator is investigated in the paper. Shaking beam for the piezoelectric linear ultrasonic motor was introduced to realize this new idea. The principle is based on the excitation of longitudinal and flexural vibrations of the actuator by using two sources of longitudinal mechanical vibrations shifted by $\pi$/2. Mode-frequency and harmonic response analyses of the actuator based on FEM have been carried out. The moving trajectory of the contact point has been defined. Finally, The experimental research of shaking beam has been confirmed an opportunity of the elliptic trajectory reception with the help of one stable mode of the vibrations.

Optimal Excitation Trajectories for the Dynamic Parameter Identification of Industrial Robots by Using Combined Model (통합모델과 최적 경로설계를 통한 산업용 로봇 동적 매개변수 규명)

  • Park, K.J.
    • Journal of Power System Engineering
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    • v.12 no.2
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    • pp.55-61
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    • 2008
  • This paper discusses the advantages of using Fourier-based periodic excitation and of combining internal and external models in dynamic robot parameter identification. Internal models relate the joint torques or forces with the motion of the robot; external models relate the reaction forces and torques on the bedplate with the motion data. This combined model allows to combine joint torque/force and reaction torque/force measurements in one parameter estimation scheme. This combined model estimation will yield more accurate parameter estimates, and consequently better predictions of actuator torque, which is shown by means of a simulated experiment on a CRS A465 industrial robot.

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Effects of 2-dimensional vibration on the surface roughness in micro milling (미세밀링 가공 시 2차원 진동이 표면거칠기에 미치는 영향)

  • Kim, Gi Dae
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.12 no.4
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    • pp.81-86
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    • 2013
  • For a 2-dimensional(2D) vibration milling, an excitation work-table was developed using two piezoelectric materials orthogonally arranged, where the trochoidal trajectory of a milling tool is combined with 2 dimensional elliptical vibration of a work-table. Applying 3kHz excitation frequency and 7~8mm amplitude of vibration to micro milling process with brass and nickel materials, the roughness in both bottom and side surface is much more improved compared to the surface by conventional milling process, which is attributed to decreased frictional force, increased cutting speed, and rubbing effect of a 2 dimensional vibration.

A study on equivalent control device model for power system reduction (전력 계통 축약을 위한 등가 제어기 모델에 관한 연구)

  • Lee, H.M.;Rho, K.M.;Jang, B.H.;Kwon, S.H.
    • Proceedings of the KIEE Conference
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    • 1999.11b
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    • pp.273-275
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    • 1999
  • This paper presents a dynamic equivalencing method in large electric power system for stability analysis. This method of modeling simplified equivalents for parts of the network outside the study area is to evaluate the stability of a study area modeled in detail. Generators are closely coupled in an electrical sense tend to swing together in groups during disturbances, and this behavior can be exploited to reduce the size of the power system model. The characteristics of generators swing together are referred to as coherency Coherency groups whose generators state trajectory are similar to the other generators state trajectory in the same coherency group by a certain disturbance. In this paper, procedures for forming dynamic equivalents of control devices of coherency-based generating units are proposed and the aggregation of the control devices such as excitation system and governor-turbine system is accomplished by this method. This method can deal with the aggregation of the same type of control devices and combination of hydro and steam unit or the many types of excitation systems. etc. This method is shown to be efficient in reducing the number of control device of generating units with small error in the study group by result of case study presented latter part of this paper.

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