• Title/Summary/Keyword: closed form

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Performance Evaluation of a CONWIP System with Compound Poisson Demands and Coxian Processing Times (복합포아송 수요와 Coxian 가공시간을 갖는 CONWIP 시스템의 성능평가)

  • 박찬우;이효성
    • Journal of the Korean Operations Research and Management Science Society
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    • v.31 no.3
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    • pp.63-79
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    • 2006
  • In this study we consider a CONWIP system in which the processing times at each station follow a Coxian distribution and the demands for the finished products arrive according to a compound Poisson process. The demands that are not satisfied immediately are either backordered or lost according to the number of demands that exist at their arrival Instants. For this system we develop an approximation method to calculate performance measures such as steady state probabilities of the number of parts at each station, proportion of lost demands and the mean number of backordered demands. For the analysis of the proposed CONWIP system, we model the CONWIP system as a closed queueing network with a synchronization station and analyze the closed queueing network using a product-form approximation method. A recursive technique is used to solve the subnetwork in the application of the product-form approximation method. To test the accuracy of the approximation method, the results obtained from the approximation method are compared with those obtained by simulation. Comparisons with simulation show that the approximation method provides fairly good results.

Dynamic response of Euler-Bernoulli beams to resonant harmonic moving loads

  • Piccardo, Giuseppe;Tubino, Federica
    • Structural Engineering and Mechanics
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    • v.44 no.5
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    • pp.681-704
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    • 2012
  • The dynamic response of Euler-Bernoulli beams to resonant harmonic moving loads is analysed. The non-dimensional form of the motion equation of a beam crossed by a moving harmonic load is solved through a perturbation technique based on a two-scale temporal expansion, which permits a straightforward interpretation of the analytical solution. The dynamic response is expressed through a harmonic function slowly modulated in time, and the maximum dynamic response is identified with the maximum of the slow-varying amplitude. In case of ideal Euler-Bernoulli beams with elastic rotational springs at the support points, starting from analytical expressions for eigenfunctions, closed form solutions for the time-history of the dynamic response and for its maximum value are provided. Two dynamic factors are discussed: the Dynamic Amplification Factor, function of the non-dimensional speed parameter and of the structural damping ratio, and the Transition Deamplification Factor, function of the sole ratio between the two non-dimensional parameters. The influence of the involved parameters on the dynamic amplification is discussed within a general framework. The proposed procedure appears effective also in assessing the maximum response of real bridges characterized by numerically-estimated mode shapes, without requiring burdensome step-by-step dynamic analyses.

Stabilizing Solutions of Algebraic Matrix riccati Equations in TEX>$H_\infty$ Control Problems

  • Kano, Hiroyuki;Nishimura, Toshimitsu
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.364-368
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    • 1994
  • Algebraic matrix Riccati equations of the form, FP+PF$^{T}$ -PRP+Q=0. are analyzed with reference to the stability of closed-loop system F-PR. Here F, R and Q are n * n real matrices with R=R$^{T}$ and Q=Q$^{T}$ .geq.0 (nonnegative-definite). Such equations have been playing key roles in optimal control and filtering problems with R .geq. 0. and also in the solutions of in H$_{\infty}$ control problems with R taking the form R=H$_{1}$$^{T}$ H$_{1}$-H$_{2}$$^{T}$ H$_{2}$. In both cases an existence of stabilizing solution, i.e. the solution yielding asymptotically stable closed-loop system, is an important problem. First, we briefly review the typical results when R is of definite form, namely either R .geq. 0 as in LQG problems or R .leq. 0. They constitute two extrence cases of Riccati to the cases H$_{2}$=0 and H$_{1}$=0. Necessary and sufficient conditions are shown for the existence of nonnegative-definite or positive-definite stabilizing solution. Secondly, we focus our attention on more general case where R is only assumed to be symmetric, which obviously includes the case for H$_{\infty}$ control problems. Here, necessary conditions are established for the existence of nonnegative-definite or positive-definite stabilizing solutions. The results are established by employing consistently the so-called algebraic method based on an eigenvalue problem of a Hamiltonian matrix.x.ix.x.

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A Study on Type Analysis and the Formative Exaggeration Phenomenon in Fashion through Indexical Consideration of Delong's Theory: Focus on 16th to 20th Century Women's Costumes (Delong의 지표적 고찰에 따른 형태적 과장 현상과 유형 분석 연구: 근세.근대 복식을 중심으로)

  • Bae, Jung-Min
    • Journal of the Korean Home Economics Association
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    • v.48 no.6
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    • pp.9-16
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    • 2010
  • The formative exaggeration phenomenon, which makes the plastic space, escaping from the form peculiar to the human body, is being developed into the more diversified and abstract structure. This study analyzed the form and shape of costumes with objective attitude through the use of an oppositional concept method, which Delong presented from the formative viewpoint. Delong's theory, which was presented in this study, can be said to be one index that analyzed the form and shape of costumes. The costumes of the Renaissance Era, in which formative exaggeration is remarkable, are determinate in that they are closed and static, and can be classified into part, planer separation, and flat. The costumes of the Baroque and Rococo Eras are divided into similar formative perspectives, and can be said to be open, whole, and integrated due to indeterminate and diverse decorations. Entering modern times, the formative-exaggeration phenomenon in costumes of the Romantic Era are characterized by closed, part, and planer separation similar to costumes of the Renaissance Era. However, in the aspect of sleeve design and decoration, the characteristics of determinate and indeterminate were considered.

Effect Investigation of a GP for Asynchronous MC-CDMA Systems (비동기 MC-CDMA 시스템에 대한 보호구간의 영향 분석)

  • Ko, Kyun-Byoung;Hong, Dae-Sik
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.33 no.11C
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    • pp.851-859
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    • 2008
  • This paper investigates the effect a guard period (GP) in the form of a cyclic prefix for asynchronous multicarrier-code division multiple access (MC-CDMA) systems. At first, we analyze the performance of asynchronous MC-CDMA systems with a GP, which results in closed-form bit error rate (BER) performance. Furthermore, it confirms that the frequency diversity of MC-CDMA systems is identical to the path diversity. The analytical approach proposed here is extended to the case without a GP. The derived analytical results show that a GP is required for MC-CDMA systems in order to mitigate not only the effect of intersymbol interference (ISI) and intercarrier interference (ICI) but also the desired signal power degradation. In addition, the accuracy of the proposed analysis is verified by simulations.

A Study on the Characteristics and Images of Rainbow Colors For Fashion Design (패션 디자인을 위한 무지개 색의 특성과 이미지 고찰)

  • 김지언;김영인
    • Journal of the Korean Society of Costume
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    • v.54 no.5
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    • pp.125-138
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    • 2004
  • This study has the aim of defining the special characteristics and images of the rainbow colored fashion by understanding the theoretical bases of rainbow colors and analyzing rainbow colored fashion images in historical materials. western and folk costumes. modern fashion design. Giving careful consideration to the rainbow colored fashion makes it possible to develope the innovative way of fashion design to satisfy the needs of color usual for designers and colorists. To obtain the purposes, document study and survey study have been executed. The results of this study are as follows. In document studies, the beginning of rainbow colored fashion went back in ancient Egypt. Also saikdong of korea, poncho of indians are the examples of the rainbow colored fashion. The rainbow colored fashion were put on a man of position in principle ceremony for ornaments. In survey studies, the clothing perception characteristics in rainbow colored fashion were analyzed. Main factors of perception characteristics In the rainbow colored fashion are 'closed form', 'whole', 'indeterminate', 'rounded', 'planar separation' The factors that affect the perception of rainbow colored fashion are 'closed form' and 'indeterminate' characteristics. And rainbow colored fashion images and clothing perception characteristics can be classified into four main images : Vigorous, Colorful/fairy, Fresh, Mysterious/brilliant. Therefore. this study is to systematize the characteristics and images of rainbow colors. Based on the results makes it possible to adapt rainbow colors to fashion design efficiently, for the suggested design elements and color palettes include basic three fashion design elements color. texture. form.

Numerical Analysis on the compressive behavior of closed-cell Al foam (닫힌 셀 구조 Al 발포 재료의 압축 거동에 대한 수치해석)

  • Jeon, In-Su
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.1663-1666
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    • 2007
  • The finite element method is applied to analyze the deformation mechanisms in the closed-cell Al foam under the compression. The modeling of the real cellular structure proceeds with the concept of the reverse engineering. First of all, the small, $10{\times}\;10{\times}\;10mm^3$ sized specimens of the closed-cell Al foam are prepared. The micro focus X-ray CTsystem of SHIMADZU Corp. is used to scan the full structures of the specimens. The scanned structures are converted to the geometric surfaces and solids through the software for 3-D scan data processing, RapidFormTMof INUS Tech. Inc. Then the solid meshes are directly generated on the converted geometric solids for the finite element analysis. The large elastic-plastic deformation and 3-D contact problems for the Al cellular material are considered. The clear and successful analysis for the deformation mechanisms in the closed-cell Al foam is carried out through the comparison of the numerical results in this research with the referred experimental ones.

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Seismic Behavior of SRC Columns with Alternative Hoops by Steel Clip-Type Devices to Improve Constructability of Closed Hoops (폐쇄형 후프의 시공성을 개선하기 위해 강재 클립형 연결장치로 보강한 대체후프를 갖는 SRC기둥의 내진거동 )

  • Kim, Young-joo;Choi, Byong-Jeong
    • Journal of Korean Association for Spatial Structures
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    • v.22 no.4
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    • pp.59-70
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    • 2022
  • In SRC column, the closed hoops are applied with the same detail of both 135° standard hooks to expect the same performance as hoops of RC columns. This standard detail is actually complicated to construct, thus, two separating rebars are connected in the form of a square shape and welded over the overlapping section. But this is also complicated in construction practice. Therefore, this study describes experimental results regarding cyclic behaviors shown with alternative hoops cramped by the steel clip type-binding device instead of welding and standard specimen. As a result of the experiment, the specimens with alternative hoops of the SRC column showed comparable performance to the specimens with closed hoops. Therefore, it can be evaluated that the alternative hoops applied with the rebar confinement clips in the SRC column can replace the closed hoop.

Local Buckling Strength of PFRP I-Shape Compression Members Obtained by LRFD Design Method and Closed-Form Solution (하중저항계수설계법 및 정밀해법에 의한 PFRP I형 단면 압축재의 국부좌굴강도)

  • Choi, Jin-Woo;Seo, Su-Hong;Joo, Hyung-Joong;Yoon, Soon-Jong
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.5 no.2
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    • pp.1-8
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    • 2014
  • Fiber reinforced polymeric plastic (FRP) materials have many advantages over conventional structural materials, i.e., high specific strength and stiffness, high corrosion resistance, right weight, etc. Among the various manufacturing methods, pultrusion process is one of the best choices for the mass production of structural plastic members. Since the major reinforcing fibers are placed along the axial direction of the member, this material is usually considered as an orthotropic material. However, pultruded FRP (PFRP) structural members have low modulus of elasticity and are composed of orthotropic thin plate components the members are prone to buckle. Therefore, stability is an important issue in the design of the pultruded FRP structural members. Many researchers have conducted related studies to publish the design method of FRP structures and recently, referred to the previous researches, pre-standard for LRFD of pultruded FRP structures is presented. In this paper, the accuracy and suitability of design equation for the local buckling strength of pultruded FRP I-shape compression members presented by ASCE are estimated. In the estimation, we compared the results obtained by design equation, closed-form solution, and experiments conducted by previous researches.

Analysis on the Walking Volumes of a Hexapod System with General 3R Link Legs (일반적 3R 링크를 갖는 6각 보행로봇 다리의 보행체적에 대한 해석)

  • Han, Gyu-Beom;Yang, Chang-Il;Baek, Yun-Su
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.7
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    • pp.2205-2212
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    • 1996
  • In order to move the body of a walking robot translationally, and step over the obstacles, the walking robot must have at least 3 degrees of freedom for each leg. Therefore each leg of the general walking robots can be composed of 3-link system with 3 revolute joints. In this paper, the colsed form of inverse kinimatic solutions is shown for this general 3R linkage. Moreover, in order to have efficient walking volume in rough terrain, the workspace of each log is obtained considering the twist angles and the offsets in D-H parameters. When we design a walking robot, the information of the walking volume is needed for planning desired trajectories of the feet effectively. Appropriate knowledge of the walking volume can also be used to maximize linear or angular velocity of minimize power of stress. However, since it is impossible to obrain the information of walking volume in 3-D space directly from the kinematic equations, the walking volume can be searched through the edge detection algorithm using the triangle tracer with closed from inverse kinematic solutions. In this study, we present the closed form inverse kinematic solutions for 3R linkage model, and the walking volume of 6 legged walking robot which is modeled after the darking bettle, Eleodes obscura sulcipennis, through the method of edge detection for an arbitrary 2 dimensional shape using triangle tracer.