• Title/Summary/Keyword: partial stability

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The Three-Dimensional Partial Differential Equation with Constant Coefficients of Time-Delay of Alternating Direction Implicit Format

  • Chu, QianQian;Jin, Yuanfeng
    • Journal of Information Processing Systems
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    • v.14 no.5
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    • pp.1068-1074
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    • 2018
  • In this paper, we consider the delay partial differential equation of three dimensions with constant coefficients. We established the alternating direction difference scheme by the standard finite difference method, gave the order of convergence of the format and the expression of the difference scheme truncation errors.

THE STABILITY OF A GENERALIZED CAUCHY FUNCTIONAL EQUATION

  • LEE, EUN HWI;CHOI, YOUNG HO;NA, YOUNG YOON
    • Honam Mathematical Journal
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    • v.22 no.1
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    • pp.37-46
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    • 2000
  • We prove the stability of a generalized Cauchy functional equation of the form ; $$f(a_1x+a_2y)=b_1f(x)+b_2f(y)+w.$$ That is, we obtain a partial answer for the open problem which was posed by the Th.M Rassias and J. Tabor on the stability for a generalized functional equation.

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Effects of elastic foundation on the dynamic stability of cylindrical shells

  • Ng, T.Y.;Lam, K.Y.
    • Structural Engineering and Mechanics
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    • v.8 no.2
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    • pp.193-205
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    • 1999
  • A formulation for the dynamic stability analysis of cylindrical shells resting on elastic foundations is presented. In this previously not studied problem, a normal-mode expansion of the partial differential equations of motion, which includes the effects of the foundation as well as a harmonic axial loading, yields a system of Mathieu-Hill equations the stability of which is analyzed using Bolotin's method. The present study examines the effects of the elastic foundation on the instability regions of the cylindrical shell for the transverse, longitudinal and circumferential modes.

Conditions for the exponential stability of linear nonautonomous systems

  • Hong, Keum-Shik
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.420-424
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    • 1993
  • New conditions for the exponential stability for both linear nonautnomous finite and a class of infinite dimensional systems described by parabolic partial differential equations (PDE's) are derived. The results for the parabolic systems are derived via semigroup approach.

Partial Conductivity of YSZ Doped with 10 mol% $TiO_2$

  • Kobayashi, Kiyoshi;Kai, Yukiharu;Yamaguchi, Shu;Kawashima, Tsuyoshi;Iguchi, Yoshiaki
    • The Korean Journal of Ceramics
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    • v.4 no.2
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    • pp.114-121
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    • 1998
  • Using Hebb-Wagner's asymmetric cell, partial conductivities of holes and electrons in yttria stabilized zirconia doped with 10 mol% TiO2 have been estimated by a dc polarization measurement. The current interrruption method and ac impedance measurements have been also made to evaluate the ionic conductivity and to examine the consistency of the partial conductivities. Partial conductivities of electrons(σn) and holes (σp) were found to be pro-peortional to -1/4 and 1/4 power of partial pressure of oxygen gas, respectively, except for σn at reducing conditions. In comparison with 5 mol% doped YSZ, σn was found to increase with the increase of TiO2 concentration, but σp stayed at almost a constant value.

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A case of implant-supported removable partial denture in a patient with mandibular unilateral residual tooth (하악 편측 소수 잔존치를 갖는 환자에서 임플란트 지지 가철성 국소의치 수복 증례)

  • Back, Ji San;Lee, Keun-Woo;Lee, Yong-Sang;Bang, Joo-Hyuk;Jang, Hee-Won;Kim, Seong-A
    • The Journal of Korean Academy of Prosthodontics
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    • v.60 no.1
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    • pp.19-28
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    • 2022
  • In removable partial dentures, abutment teeth are essential for support, maintenance, and stability of partial dentures, and are an important factor in the fabrication of functional dentures. If the number of periodontally sound abutments is sufficient and they are located on both sides, it will be easy to manufacture functional dentures with good support, maintenance, and stability. But on the contrary, if the number of teeth is insufficient or if they are located on one side, it is biomechanically disadvantageous and relatively difficult to make functional denture. On the other hand, recently, implant-supported removable dentures, which reinforce the three elements of maintenance, support, and stability by using implant surveyed crown, have been frequently selected as treatment plans. In particular, by adding an implant surveyed crown when only a small number of residual teeth remain, mastication efficiency, esthetics, patient comfort, and pronunciation can be improved. In this case, bilateral posterior extension partial denture was fabricated using implant surveyed crown as abutments by placing implants in the premolars area opposite to the residual tooth unilaterally in the mandible. As a result, the asymmetry of the abutment was resolved, and the maintenance and stability of the denture was achieved.

A Study of the Method for External Noise Shielding using the GIS UHF Sensor Module Applied to the Partial Discharge Signal Sensitivity and Method of Frequency Transforming in the Internal GIS (GIS내부의 부분방전신호 감도개선 및 주파수변환기법에 의한 GIS UHF Sensor 모듈의 외부노이즈차폐기법에 관한 연구)

  • Lee, Seung-Min
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.59 no.4
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    • pp.728-732
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    • 2010
  • GIS(Gas insulated switching gear) is power equipment with excellent dielectric strength and is economy merit in high confidence and stability. Recently, because equipment of GIS was occurring problem of confidence used for a long time, partial discharge on-line diagnosis systems have been importantly recognized. Partial discharge (PD) detection is an effective means for monitoring and evaluation of dielectric condition of gas insulated system (GIS). The ultra-high-frequency (UHF) PD detection technique can detect and locate the PD sources inside GIS by detecting electromagnetic wave emitted from PD source. Therefore, real-time diagnostic system using UHF detection method has been developed for this application is being expanded gradually. However, the signal of partial discharge occurring in SF6 gas is very weak and susceptible to external noises which mainly consist of PD in air. Thus, it is important to distinguish the PD in SF6 gas more sensitively from the external noises. Unfortunately, these external noise signals and the partial discharge signals have very similar characteristics. Therefore, to solve this problem, we need the signal processing method for distinguish partial discharge signals with external noise signals for improvement of SNR(signal to noise ratio) and sensitivity. In this paper, we proposed internal signal processing method for removing external noise signals with built-in pre.amplifier and frequency conversion circuit.

Analysis of the characteristics of mouthguards that affect isokinetic muscular ability and anaerobic power

  • Jung, Jae-Kwang;Chae, Woen-Sik;Lee, Kyu-Bok
    • The Journal of Advanced Prosthodontics
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    • v.5 no.4
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    • pp.388-395
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    • 2013
  • PURPOSE. The purpose of this study was to estimate the effects of occlusal stability to identify action mechanisms of mouthguards, known to have a modulatory effect on limb muscle function. MATERIALS AND METHODS. This study included 20 male subjects to perform the isokinetic muscle tests and the Wingate anaerobic power test on both knee joints under five closed-mouth conditions: without or with 4 types of mouthguards with thickness of 2 mm based on premolar area: (1) full-coverage, (2) anterior partial-coverage, (3) right posterior partial-coverage, and (4) left posterior partial-coverage. The obtained results were subjected to One-way ANOVA with repeated measures, followed by post hoc test of the contrast method (${\alpha}$=.05). RESULTS. There was no significant difference between the closed position with and without a full-coverage mouthguard in all variables. However, significant differences were observed between with and without a partial-coverage mouthguard in muscular endurance during extension of the left knee, muscular power and endurance during flexion of the right knee. Additionally, significant differences were found between occlusal states with full- and partial-coverage mouthguards in muscular power and endurance during extension of the left knee. CONCLUSION. These findings indicate the elevation of vertical dimension by 2 mm or the inducement of occlusal stability had little effect on isokinetic muscle strength and anaerobic performance, while uneven distribution of occlusal force might have some positive effects.

Design of Low Order Cascade Controller to Reduce the Effects of Its Zeros (제어기 영점의 영향을 감소시키는 종속형 저차 제어기의 설계)

  • Kim, Young-Chol;Kim, Jae-Jin
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.6
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    • pp.1048-1057
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    • 2008
  • This paper represents a design method for PID or low-order controllers cascaded with a linear plant in the unit feedback system where it is required to meet the given time response specifications such as overshoot and settling time. This problem is difficult to solve because the zeros of the controller appear in the numerator of the overall system and thus those zeros may make the time response design difficult. In this paper, we propose a new approach based on the partial model matching and the so called K-polynomial. The partial matching problem is formulated to an optimization problem in which a quadratic function of coefficient errors between a target model and the resulting closed loop system is minimized. For the sake of satisfying the closed loop stability, a set of quadratic constraints associated with the cost function is introduced. As a result, the controller designed meets both time response requirements and the closed loop stability, if any. It is shown through several examples that the present method can be easily applied to these problems.

Stability Analysis of the Ignition Coil using Partial Discharge (부분방전법을 이용한 점화코일의 안정도 해석)

  • Park, Hee-Doo;Kim, Tag-Yong;Shin, Hyun-Taek;Kim, Weon-Jong;Shin, Jong-Yeol;Hong, Jin-Woong
    • Journal of the Korean Society of Safety
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    • v.21 no.1 s.73
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    • pp.53-58
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    • 2006
  • This paper has been addressed on the discharge characteristics of the ignition coil by Weibull function. It analyzed discharge number and amount of discharge using Weibull distribution to know the inter-relationship between partial discharge and mileage. We detected the discharge which happens for 10 seconds. The applied voltage increased by 0.5[kV] at discharge inception voltage. We diagnosed failure rate using the shape parameters. As a result, we confirmed that the failure rate was increased, because the shape parameter showed the value of 5 according to increasing mileage degradation. Also, it is considered to increase the degradation of inner insulator of ignition coil. Because failure rate of virgin was increased from 0[%] to 25[%] after degradation, stability analysis of the ignition coil using Weibull analysis is possible.