• Title/Summary/Keyword: linear type

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GRADIENT TYPE ESTIMATES FOR LINEAR ELLIPTIC SYSTEMS FROM COMPOSITE MATERIALS

  • Youchan Kim;Pilsoo Shin
    • Journal of the Korean Mathematical Society
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    • v.60 no.3
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    • pp.635-682
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    • 2023
  • In this paper, we consider linear elliptic systems from composite materials where the coefficients depend on the shape and might have the discontinuity between the subregions. We derive a function which is related to the gradient of the weak solutions and which is not only locally piecewise Hölder continuous but locally Hölder continuous. The gradient of the weak solutions can be estimated by this derived function and we also prove the local piecewise gradient Hölder continuity which was obtained by the previous results.

Design problem of Line (선형 집적회로(IC) 설계의 문제점)

  • 김만진
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.13 no.3
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    • pp.22-27
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    • 1976
  • For linear IC design, one has to know the epi thickness, resistivity, and structure of buried island inserted between epi and substrate because the mask structure can only be changed for linear IC consisted of various type of transistors to be made for desired specific function. The interrelation of IC operational and saturation voltages with epi resistivity, theckness and divice structure are studied and presented in graphic forms so that IC design engineers can utilize them.

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A Study on the Thrust force and Normal force Characteristics of Linear Stepping Motor by 2D Finite Element Analysis (2차원 유한요소해석에 의한 선형 스텝핑 전동기의 추력 및 수직력 특성에 관한 연구)

  • 원규식;노채균;김동희;이상호;오홍석
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.17 no.5
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    • pp.141-148
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    • 2003
  • In the recently, the necessity of the hybrid type linear stepping motor(HLSM) of linear motion digital actuator has been increased in the various fields of the automatic control system. The HLSM is directly performed without any converting mechanism. Therefore, the HLSM is better advantaged in the efficiency and economical view than a rotary stepping motor. In this paper, we have designed an optimum tooth shape by the 2D finite element method(FEM) to develop the HLSM with longitudinal flux machine(LFM) type, and calculated the thrust force and normal force. And we have manufactured the prototype of it, and have experimented the thrust force characteristics of it.

Instability and vibration analyses of FG cylindrical panels under parabolic axial compressions

  • Kumar, Rajesh;Dey, Tanish;Panda, Sarat K.
    • Steel and Composite Structures
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    • v.31 no.2
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    • pp.187-199
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    • 2019
  • This paper presents the semi-analytical development of the dynamic instability behavior and the dynamic response of functionally graded (FG) cylindrical shallow shell panel subjected to different type of periodic axial compression. First, in prebuckling analysis, the stresses distribution within the panels are determined for respective loading type and these stresses are used to study the dynamic instability behavior and the dynamic response. The prebuckling stresses within the shell panel are the same as applied in-plane edge loading for the case of uniform and linearly varying loadings. However, this is not true for the case of parabolic loadings. The parabolic edge loading produces all the stresses (${\sigma}_{xx}$, ${\sigma}_{yy}$ and ${\tau}_{xy}$) within the FG cylindrical panel. These stresses are evaluated by minimizing the membrane energy via Ritz method. Using these stresses the partial differential equations of FG cylindrical panel are formulated by applying Hamilton's principal assuming higher order shear deformation theory (HSDT) and von-$K{\acute{a}}rm{\acute{a}}n$ non-linearity. The non-linear governing partial differential equations are converted into a set of Mathieu-Hill equations via Galerkin's method. Bolotin method is adopted to trace the boundaries of instability regions. The linear and non-linear dynamic responses in stable and unstable region are plotted to know the characteristics of instability regions of FG cylindrical panel. Moreover, the non-linear frequency-amplitude responses are obtained using Incremental Harmonic Balance (IHB) method.

Differential-Linear Type Attacks on Reduced Rounds of SHACAL-2 (축소 라운드 SHACAL-2의 차분-선형 유형 공격)

  • Kim Guil;Kim Jongsung;Hong Seokhie;Lee Sangjin;Lim Jongin
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.15 no.1
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    • pp.57-66
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    • 2005
  • SHACAL-2 is a 256-bit block cipher with various key sizes based on the hash function SHA-2. Recently, it was recommended as one of the NESSIE selections. This paper presents differential-linear type attacks on SHACAL-2 with 512-bit keys up to 32 out of its 64 rounds. Our 32-round attack on the 512-bit keys variants is the best efficient attack on this cipher in published literatures.

A Study on the Determination of Linear Model and Linear Control of Biped Robot (이족로봇의 선형모델결정과 제어에 관한 연구)

  • Park, In-Gyu;Kim, Jin-Geol
    • Proceedings of the KIEE Conference
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    • 2000.11d
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    • pp.765-768
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    • 2000
  • Linearization of the biped dynamic equations and design of linear controller for the linearized equations are studied in this paper. The biped robot with inverted pendulum type trunk, used to stabilize the dynamic balancing of the biped robot during dynamic walking period, is modelled with 14 DOF and simulated. Despite of well defined linear control theories so far, the linear control methods was limited to the applications for a walking robot, because they have been inherently strong nonlinear properties, such as a modeling parameter uncertainties, external forces as noise, inertial and Coriolis terms by three dimensional modeling and so on. To linearize the nonlinear equations of motion of biped robot on MIMO and time varying linear equations of motion, 1st order Taylor series is used to formulate the linear equation. And a 2nd order numerical perturbation method Is used to approximate partial differential equations. Using the linearized equations of motion, a linear controller is designed by pole placement method with feed forward compensation. Using the obtained linearized equations and linear controller, the continuous walking simulation is performed.

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High-Performance Damping Device for Suppressing Vibration of Stay Cable (사장 케이블 제진을 위한 고성능 감쇠 장치)

  • Jung Hyung-Jo;Park Chul-Min;Jang Ji-Eun;Park Kyu-Sik;Lee In-Won
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2005.04a
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    • pp.489-496
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    • 2005
  • In this paper, the feasibility of the high-performance damping device vibration suppression of stay cables has been investigated. The proposed damping system consists of a linear viscous damper and a scissor-jack-type toggle linkage. Since the mechanism of the scissor-jack-type toggle linkage amplifies the relative displacement of the linear viscous damper, it is expected that the capacity of the viscous damper used in the scissor-jack-damper energy dissipation system can be reduced without the loss of the control performance. Numerical simulation results demonstrate the efficacy of the damping system employing the scissor-jack-type toggle linkage. Therefore, the proposed damping system could be considered as one of the promising candidates for suppressing vibration of stay cable.

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Optimum Design of the Slit Type Linear Induction Motor (슬릿형 선형 유도 전동기의 최적 설계)

  • Oh, Geun-Ung;Yoon, Sang-Baeck;Hur, Jin;Jeung, In-Sung;Hyun, Dong-Seok
    • Proceedings of the KIEE Conference
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    • 1996.07a
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    • pp.238-240
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    • 1996
  • This paper presents the optimum design of the slit type linear induction motor(LIM). For the analysis of the slit type LIM, as the boundary problem, the equivalent circuit is composed from the analysis method given the slit pitch boundary condition. Using the deterministic method and the stochastic method among the optimization methods, each of the optimum design variables is derived. The analysis result by the proposed method is compared with the experimental result.

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Detent force minimization caused by end effect of moving magnet type Slotless PMLSM (Moving magnet type Slotless PMLSM의 end effect에 의한 detent force 최소화)

  • Kim, Mi-Yong;Ha, Tae-Wook;Jung, Chun-Gil;Kim, Gyu-Tak
    • Proceedings of the KIEE Conference
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    • 2003.10b
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    • pp.33-35
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    • 2003
  • This paper proposes inserted core type of slotless Permanent Magnet Linear Synchronous Motor(PMLSM) to improve its low thrust density. However, by inserting the core between windings of each phase, detent force is generated. Furthermore, linear motors have the feature of structurally limited length. So, it causes the end-effect in actual operation. So, this paper applies the neural network to this model to minimize detent force and maximize thrust. Also, sub-poles used the to the end parts of the mover for compensating the end-effect.

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A Study on the Effects of Turbulence Model and Numerical Scheme on Analysis of the Flow through Airfoil Type Tubular Fan (관류 익형송풍기의 유동해석에 대한 난류모델 및 수치도식의 영향에 관한 연구)

  • Moon, Jung-joo;Seo, Seoung-jin;Kim, Kwang-yong
    • The KSFM Journal of Fluid Machinery
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    • v.6 no.1 s.18
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    • pp.23-29
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    • 2003
  • Three-dimensional flow through a tubular centrifugal fan with airfoil type blades is analyzed, and the effects of turbulence model and numerical scheme on the results are investigated. Standard $k-{\epsilon}$ model and k - w model are tested as turbulence closures. The numerical schemes for convection terms, i.e., Upwind Differencing Scheme (UDS), Mass Weighted Skewed upstream differencing scheme (MWS), Linear Profile Skewed upstream differencing scheme (LPS), and Modified Linear Profile Skewed upstream differencing scheme (MLPS) are also tested, and the performances of these schemes coupled with two turbulence models are evaluated. The static pressure distributions are compared with experimental data obtained in this work, which shows that the $k-{\epsilon}$ model gives better results than the k-w model.