• Title/Summary/Keyword: Elliptic Contact

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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.

Mechanics of lipid membranes subjected to boundary excitations and an elliptic substrate interactions

  • Kim, Chun Il
    • Coupled systems mechanics
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    • v.6 no.2
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    • pp.141-155
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    • 2017
  • We present relatively simple derivations of the Helfrich energy potential that has been widely adopted in the analysis of lipid membranes without detailed explanations. Through the energy variation methods (within the limit of Helfrich energy potential), we obtained series of analytical solutions in the case when the lipid membranes are excited through their edges. These affordable solutions can be readily applied in the related membrane experiments. In particular, it is shown that, in case of an elliptic cross section of a rigid substrate differing slightly from a circle and subjected to the incremental deformations, exact analytical expressions describing deformed configurations of lipid membranes can be obtained without the extensive use of Mathieu's function.

Two-Dimensional Thermo-Viscopiastic Finite Element Analysis of Free Forginf for Large Ingot Considerinf Internal Contact Treament on One Deforming Body (변형하는 동일물체간의 접촉처리를 고려한 대형강괴 자유단조의 2차원 열점소성 유한요소해석)

  • 박치용;양동열
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1995.10a
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    • pp.102-108
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    • 1995
  • Internal contact scheme between two free surfaces on one deforming body has been proposed by using the penalty method. It has been imposed to be internal boundary condition on two-dimensional thermo-viscoplastic finite element method so as to analyze one deforming body, which has two free surfaces penetrating each others. Analysis of side pressing with a circular void and a inclined elliptic hole have been carried out in order to verity the proposed contact scheme. A finite element code imposed internal boundary condition has been applied to two-dimensional analysis of free forging of large ingot with a void. Through the analysis, effects of working parameters in order to consolidate voids have been investigated.

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A Simple Solution of Lateral Buckling of an Elastica with Self-Contact (자기접촉을 가지는 일래스티카 기둥의 수평좌굴 해의 간단한 해법)

  • Jung, Jae-Ho;Kang, Tae-Jin;Lee, Kyung-Woo
    • Proceedings of the Korean Fiber Society Conference
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    • 2003.10b
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    • pp.80-83
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    • 2003
  • Exact Solution of lateral buckling of elastica column with self-contact was obtained. By assuming that there exists a counter force to maintain the horizontal coordinate at contact point to be the same value as that of highest point of bent beam, we could prevent the shape of solution from overlapping with each other. As the simpliest case, we obtained the elliptic integral solutions of the laterally post-buckled shape of linear elastic inextensible column under concentrated load. (omitted)

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Theoretical Investigations and measuring Techniques of Geometrical Factor influencing Sensitive Electronic Devices (감도전자장치에 영향을 주는 기하학적 인수의 이론적 연구와 측정)

  • S. K. Lee
    • 전기의세계
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    • v.14 no.1
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    • pp.5-12
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    • 1965
  • In the designs of the sensitive electronic devices such as phase sensitive detector, X-ray diffractometer, and neutron diffractometers, we must take into account the geometrical factors in a coil systems and extraneous stray fields. Input wave forms in such a sensitive electronic devices are often altered by the influence of these factors. Since the magnitude of the stray fields is generally very small, this affection may be removed by applying a good shielding but it is not ease to remove the affection from a geometrical factor. This affection must be however calculated by the theoretical methods and analytical solution in the equation of these factors. The fundamental purpose of this paper lie in the theoretical calculations and practical measurements of the geometrical factor in the coil systems, finite solenoid, and four point prove. In the heoretical calculations, the geometrical factors in the coil systems were calculated by applying the elliptic functions and in the contact points were calculated by applying the elliptic functions and in the contact points were calculated by applying the eigen functions and the infinite series. The measurements were carried out by using the sensitive electronic device made from author's design, as shown in the Fig. 9. The result of this work has verified the essential correctness of theoretical investigations and measuring techniques of geometrical factors on the design of sensitive electronic devices. It also has several advantages such that: (1) all the data obtained may give effective data to designer to work on the field of sensitive electronic devices or microelectronic devices, (2) it has evidently explained the characteristics of electrical investigations and physical definition, and has removed the conventional error of geometrical factors in the coil systems and contact points.

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An Experimental Study on the Elastic Vibration of Plates in Contact with Water (평판(平板)의 접수진동(接水振動)에 관한 실험적(實驗的) 연구(硏究))

  • K.C.,Kim;J.S.,Kim;H.Y.,Lee
    • Bulletin of the Society of Naval Architects of Korea
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    • v.16 no.2
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    • pp.1-7
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    • 1979
  • The authors had done theoretical analysis of the vibration of rectangular elastic plates in contact with water. In this analysis, using the elliptic cylindrical coordinate system, they investigated the effects of mass density ratios, chord-length to thickness ratios, aspect ratios, boundary conditions and mode shapes on the added mass of plates. The results are reported in papers quoted as the reference [4] and [5] of this paper. In this report the results of experiments conducted to verify the above theoretical analysis are presented. It shows that numerical results derived from the theoretical analysis are generally in good agreement with the experimental results.

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DSP Embeded Hardware for Non-contact Bio-radar Heart and Respiration Rate Monitoring System (DSP를 이용한 비 접촉식 도플러 바이오 레이더 생체신호 모니터링 시스템 임베디드 하드웨어의 개발)

  • Kim, Jin-Seung;Jang, Byung-Jun;Kim, Ki-Doo
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.47 no.4
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    • pp.97-104
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    • 2010
  • In this paper, we provide an embedded type non-contact bio-radar heart and respiration rate monitoring system. We implemented the rate finding algorithm into the embedded system. The high-speed and reliable real-time signal processor is then tested. To avoid null-point data loss problem, we applied quadrature demodulation. Among several other combining techniques, we suggest arctangent demodulation for quadrature channel combining and DSP is used for real-time signal processing. We also suggest DC-offset compensation technique to preserve the wanted DC components of the IQ signals for accurate demodulation while keeping the dynamic range of the ADC lower. Using Texas Instrument C6711 series DSP and external 12Bit ADC, we implemented proper elliptic digital filter and autocorrelation detection algorithm for robust commercial hand held device.

Improvement of Weldlines of an Injection Molded Part with the Aid of High-Frequency Induction Heating (고주파 유도가열을 적용한 사출성형품의 웰드라인 개선)

  • Seo, Young-Soo;Son, Dong-Hwi;Park, Keun
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2009.10a
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    • pp.437-440
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    • 2009
  • High-frequency induction is an efficient way to heat mold surface by electromagnetic induction in a non-contact manner. Thanks to its capability of rapid heating and cooling of mold surface, it has been recently applied to the injection molding. The present study applies the high-frequency induction heating for elimination of weldlines in an injection-molded plastic part. To eliminate weldlines, the mold temperature of the corresponding weld locations should be maintained higher than the glass transition temperature of the resin material. Through experiments, the maximum temperature of $143^{\circ}C$ is obtained on the mold surface around the elliptic coil, while the temperature of the mold plate is lower than $60^{\circ}C$. An injection molding experiment is then performed with the aid of induction heating, and the effect of induction heating conditions on the surface appearance of the weldline is investigated.

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Closed-form Green's functions for transversely isotropic bi-solids with a slipping interface

  • Yue, Zhong Qi
    • Structural Engineering and Mechanics
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    • v.4 no.5
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    • pp.469-484
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    • 1996
  • Green's functions are obtained in exact closed-forms for the elastic fields in bi-material elastic solids with slipping interface and differing transversely isotropic properties induced by concentrated point and ring force vectors. For the concentrated point force vector, the Green functions are expressed in terms of elementary harmonic functions. For the concentrated ring force vector, the Green functions are expressed in terms of the complete elliptic integral. Numerical results are presented to illustrate the effect of anisotropic bi-material properties on the transmission of normal contact stress and the discontinuity of lateral displacements at the slipping interface. The closed-form Green's functions are systematically presented in matrix forms which can be easily implemented in numerical schemes such as boundary element methods to solve elastic problems in computational mechanics.