• Title/Summary/Keyword: Complex Variable Method

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A Variable Ordering Method for OPKFDDs using Complex Terms (Complex term을 이용한 OPKFDD의 입력변수 순서 방법)

  • Jung, Mi-Gyoung;Kim, Mi-Young;Lee, Guee-Sang
    • Journal of KIISE:Computer Systems and Theory
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    • v.27 no.9
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    • pp.759-767
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    • 2000
  • OPKFDD(Ordered Pseudo-Kronecker Functional Decision Diagram)는 각 노드에서 다양한 decomposition을 취할 수 있는 Ordered-DD(Decision Diagram)의 한 종류이다. OBDD(Ordered Binary Decision Diagram)에서 각 노드는 Shannon decomposition 만을 이용하는 반면, OPKFDD는 각 노드마다 Shannon, positive Davio, negative Davio decomposition 중의 하나를 사용하도록 하며 많은 경우 매우 적은 수의 노드로 함수를 표현할 수 있다. 그러나 각 노드마다 각기 다른 확장 방법을 선택할 수 있는 특징 때문에 입력 노드에 대한 확장 방밥과 입력 변수 순서의 결정에 의해서 OPKFDD의 크기가 좌우되며 이에 대한 최적의 해를 구하는 것은 매우 어려운 문제로 알려져 있다. 본 논문에서는 DD 크기를 기준을 노드 수로 하여 기존의 BDD(Binary Decision Diagram) 자료구조에서 OPKFDD를 효율적으로 유도해내는 방법을 제시하고 complex term을 이용하여 이를 최소화하는 알고리즘을 제시한다. 그리고 입력변수 순서 결정을 위하여 다출력함수의 경우 함수간의 포함관계를 고려한 그룹-sifting과 각 노드의 확장 방법을 제안하고 실험 결과를 제시한다.

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The Study on the Influence of Pad Wear on Brake Squeal Analysis (브레이크 스퀼 해석에서 패드 마모의 영향에 관한 연구)

  • Lee, Ho-Gun;Son, Min-Hyuk;Seo, Young-Wook;Boo, Kwang-Seok;Kim, Heung-Seob
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.32 no.11
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    • pp.930-936
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    • 2008
  • This paper studies the effect of pad at initial stage and wear during braking on the dynamic contact pressure distribution. Wear is influenced by variable factor (contact pressure, sliding speed, radius, temperature) during dynamic braking and variation in contact pressure distribution. Many researchers have conducted complex eigenvalue analysis considering wear characteristic with Lim and Ashby wear map. The conventional analysis method is assumed the pad has smooth and flat surfaces. The purpose of this paper is to validate that wear rate induced by braking is considered for the precise squeal prediction. After obtaining pad wear from experiment, it is incorporated with FE model of brake system. Finally, the comparisons in fugitive nature of squeal will be carried out between the complex eigenvalue analysis and noise dynamometer experiment.

A search-based high resolution frequency estimation providing improved convergence characteristics in power system (전력계통에서 수렴성 향상을 위한 탐색기반 고분해능 주파수 추정기법)

  • An, Gi-Sung;Seo, Young-Duk;Chang, Tae-Gyu;Kang, Sang-Hee
    • Journal of IKEEE
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    • v.22 no.4
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    • pp.999-1005
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    • 2018
  • This paper proposed a search-based high resolution frequency estimation method in power systme. The proposed frequency estimation method adopts a slope-based adaptive search as a base of adaptive estimation structure. The architectural and operational parameters in this adaptive algorithm are changed using the information from context layer analysis of the signals including a localized full-search of spectral peak. The convergence rate of the proposed algorithm becomes much faster than those of other conventional slope-based adaptive algorithms by effectively reducing search range with the application of the localized full-search of spectrum peak. The improvements in accuracy and convergence rate of the proposed algorithm are confirmed through the performance comparison with other representative frequency estimation methods, such as, DFT(discrete Fourier transform) method, ECKF(extended complex Kalman filter), and MV(minimum variable) method.

Perturbation method for the dynamic analysis of a bistable oscillator under slow harmonic excitation

  • Luongo, Angelo;Casciati, Sara;Zulli, Daniele
    • Smart Structures and Systems
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    • v.18 no.1
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    • pp.183-196
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    • 2016
  • In this paper a nonlinear, bistable, single degree of freedom system is considered. It consists of a Duffing oscillator externally excited by a non-resonant, harmonic force. A customized perturbation scheme is proposed to achieve an approximate expression for periodic solutions. It is based on the evaluation of the quasi-steady (slow) solution, and then on a variable change followed by two perturbation steps which aim to capture the fast, decaying contribution of the response. The reconstructed solution, given by the sum of the slow and fast contributions, is in a good agreement with the one obtained by numerical integration.

Deflection calculation method on GFRP-concrete-steel composite beam

  • Tong, Zhaojie;Song, Xiaodong;Huang, Qiao
    • Steel and Composite Structures
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    • v.26 no.5
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    • pp.595-606
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    • 2018
  • A calculation method was presented to calculate the deflection of GFRP-concrete-steel beams with full or partial shear connections. First, the sectional analysis method was improved by considering concrete nonlinearity and shear connection stiffness variation along the beam direction. Then the equivalent slip strain was used to take into consideration of variable cross-sections. Experiments and nonlinear finite element analysis were performed to validate the calculation method. The experimental results showed the deflection of composite beams could be accurately predicted by using the theoretical model or the finite element simulation. Furthermore, more finite element models were established to verify the accuracy of the theoretical model, which included different GFRP plates and different numbers of shear connectors. The theoretical results agreed well with the numerical results. In addition, parametric studies using theoretical method were also performed to find out the effect of parameters on the deflection. Based on the parametric studies, a simplified calculation formula of GFRP-concrete-steel composite beam was exhibited. In general, the calculation method could provide a more accurate theoretical result without complex finite element simulation, and serve for the further study of continuous GFRP-concrete-steel composite beams.

Stress Distribution in the Vicinity of a Crack Tip in a Plate under Tensile Load Using Displacement Data of Finite Element Method (유한요소 변위값을 이용한 인장하중 판재 균열선단 주위의 응력분포 해석)

  • Baek, Tae-Hyun
    • Journal of the Korean Society for Precision Engineering
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    • v.25 no.10
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    • pp.84-91
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    • 2008
  • Due to the complexity of the engineering problems, it is difficult to obtain directly the stress field around the crack tip by theoretical derivation. In the paper, the hybrid method is employed to calculate full-field stress around the crack tip in uni-axially leaded finite width tensile plate, using the displacement data of given points calculated by finite element method as input data. The method uses complex variable formulations involving conformal mappings and analytical continuity. In order to accurately compare calculated fringes with experimental ones, both actual and reconstructed photoelastic fringe patterns are two times multiplied and sharpened by digital image processing. Reconstructed fringes by hybrid method are quite comparable to actual fringes. The experimental results indicate that Mode I stress intensity factor analyzed by the hybrid method are accurate within a few percent compared with ones obtained by empirical equation and finite element analysis.

Process Development of Variable Curvature Extrusion for Automotive Aluminum Bumper (자동차 알루미늄 범퍼의 가변 곡률 압출공정 개발)

  • Kim, Byung-Min;Jo, Young-June;Oh, Kae-Hee;Park, Sang-Woo;Lee, Sang-Kon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.32 no.4
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    • pp.327-332
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    • 2008
  • The effectiveness of vehicle parts made through extrusion is in the limelight because of the advantages of high strength stiffness materials can be produced and the number of processes can be drastically reduced. Therefore, the parts should have sufficient stiffness and be lightweight enough to improve fuel efficiency. However, the application of extruded aluminum requires pre-bending technologies that can manufacture the complex designs profiles demanded by vehicle parts. The aim of this research is that the development of the variable curvature extrusion technology that can produce a variety of curvature. In order to produce a variable curvature, the guide transfer speed and transfer time should be controlled properly. The guide transfer speed and transfer time were examined by the theoretical analysis. A model was developed to simulate the deformation behaviors of extrusion and bending process from the symmetric bumper with range of radii from 1863mm to 2163mm. The theoretical analysis and FE analysis were verified through experimental method.

Determination of optical constants and thickness of organic electroluminescence thin films using variable angle spectroscopic ellipsometry (가변입사각 분광타원 법을 이용한 유기 발광 박막의 광학상수 및 두께 결정)

  • 김상열;류장위;김동현;정혜인
    • Korean Journal of Optics and Photonics
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    • v.12 no.6
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    • pp.472-478
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    • 2001
  • We determined the optical constants and thickness of organic electroluminescence thin films using variable angle spectroscopic ellipsometry. Using the measured transmittance spectra and the spectroscopic ellipsomeoy data of the organic films on glass substrates in the optically transparent region, we determined the effective thickness and the refractive indices of organic thin films. Then by applying a numerical inversion method to variable angle spectro-ellipsometry data, we determined the complex refractive index at each wavelength including the optically absorbing region, as well as the thickness and surface micro-roughness of the organic thin films. The calculated transmittance spectra showed a tight agreement with the measured ones, confining the validity of the present model analysis.

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Hybrid Photoelastic Stress Analysis Around a Central Crack Tip in a Tensile Loaded Plate Using Isochromatic Data (등색프린지 데이터를 이용한 인장하중 판재 중앙 균열선단 주위의 하이브리드 광탄성 응력장 해석)

  • Baek, Tae-Hyun;Chen, Lei
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.12
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    • pp.1200-1207
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    • 2007
  • An experimental test is presented for photoelastic stress analysis around a crack tip in tensile loaded plate. The hybrid method coupling photoelastsic fringe inputs calculated by finite element method and complex variable formulations involving conformal mappings and analytical continuity is used to calculate full-field stress around the crack tip in uniaxially loaded, finite width tensile plate. In order to accurately compare calculated fringes with experimental ones, both actual and regenerated photoelastic fringe patterns are two times multiplied and sharpened by digital image processing. Regenerated fringes by hybrid method are quite comparable to actual fringes. The experimental results indicate that Mode I stress intensity factor analyzed by the hybrid method are accurate within three percent compared with ones obtained by empirical equation and finite element analysis.

Numerical Study of Droplet Impact on Solid Surfaces Using a Coupled Level Set and Volume-of-Fluid Method (CLSVOF 방법을 이용한 액적-벽면 충돌에 관한 수치적 연구)

  • Suh, Young-Ho;Son, Gi-Hun
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.27 no.6
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    • pp.744-752
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    • 2003
  • A level set method is combined with the volume-of-fluid method so that the coupled method can not only calculate an interfacial curvature accurately but also can achieve mass conservation well. The coupled level set and volume-of-fluid(CLSVOF) method is efficiently implemented by employing an interface reconstruction algorithm which is based on the explicit relationship between the interface configuration and the fluid volume function. The CLSVOF method is applied for numerical simulation of droplet impact on solid surfaces with variable contact angles. The numerical results are found to preserve mass conservation and to be in good agreement with the data reported in the literature. Also, the present method proved to be applicable to the complex phenomena such as breakup and rebound of a droplet.