• 제목/요약/키워드: closed form

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A Simple Mixed-Based Approach for Thin-Walled Composite Blades with Two-Cell Sections

  • Jung Sung Nam;Park Il-Ju
    • Journal of Mechanical Science and Technology
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    • 제19권11호
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    • pp.2016-2024
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    • 2005
  • In this work, a mixed beam approach that combines both the stiffness and the flexibility methods has been performed to analyze the coupled composite blades with closed, two-cell cross-sections. The Reissner's semi-complementary energy functional is used to derive the beam force-displacement relations. Only the membrane part of the shell wall is taken into account to make the analysis simple and also to deliver a clear picture of the mixed method. All the cross section stiffness coefficients as well as the distribution of shear across the section are evaluated in a closed-form through the beam formulation. The theory is validated against experimental test data, detailed finite element analysis results, and other analytical results for coupled composite blades with a two-cell airfoil section. Despite the simple kinematic model adopted in the theory, an accuracy comparable to that of two-dimensional finite element analysis has been obtained for cases considered in this study.

사용자 협력통신을 위한 새로운 전송 신호 구조 설계 (A Design of New Transmission Signal Structure for User Cooperative Communication)

  • 정휘재;공형윤
    • 정보처리학회논문지C
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    • 제14C권4호
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    • pp.383-388
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    • 2007
  • 본 논문에서는 기존의 협력통신을 위한 신호 구조와 동일한 성능을 유지하면서 스펙트럼 효율을 높일 수 있는 Alamouti 전송 다이버시티를 기초한 새로운 신호 구조를 제안한다. 제안하는 신호 구조는 (n+1)시간 슬롯에 n 개의 데이터를 처리할 수 있어 n 값이 커질수록 1(bit/s/Hz)에 근접하는 스펙트럼 효율을 보이게 된다. 제안하는 신호 구조의 성능을 검증하기 위해 수학적 접근으로 Closed form BER을 유도한 결과와 레일리 페이딩과 AWGN(Additive White Gaussian Noise)이 합해진 채널상황에서 시뮬레이션으로 얻은 성능을 비교하였다. 분석 결과 제안하는 신호 구조의 Closed form BER 성능과 시뮬레이션을 통해 얻은 성능이 정확하게 일치하는 것을 알 수 있었다.

모멘트 생성 함수 기법을 이용한 물류 운반 시스템 이용에 따른 유연 생산 시스템의 성능 해석 (Performance Analysis of the Flexible Manufacturing System According to the Strategy of Material Handling System Using Moment Generating Function Based Approach)

  • 양희구;김종원
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1995년도 추계학술대회 논문집
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    • pp.1186-1190
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    • 1995
  • This paper is focused on the formulation of explicit closed-form functions describing the performance measures of the general flexible manufacturing system (FMS)according to the strategy of material handling system(MHS). the performance measures such as the production rate, the production lead-time and the utilization rate of the general FMS are expressed, respectively, as the explicit closed-form functions of the part processing time, the service rate of the material handling system (MHS) and the number of machine tools in the FMS. For this, the gensral FMS is presented as a generalized stochastic Petri net model, then, the moment generating function (MGF) based approach is applied to obtain the steady-state probabity formulation. Based on the steady-state formulation, the explicit closed-form functions for performance measures of the probability FMS can be obtained. Finally, the analytical results are compared with the Petri net simulation results to verify the validity of the suggested method. The paper is of significance in the sense that it provides a comprehensive formula for performance measures of the FMS even to the industry engineers and academic reademic resuarchers who have no background on Markov chain analysis method or Petrinet modeling

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Downlink Performance of Distributed Antenna Systems in MIMO Composite Fading Channel

  • Xu, Weiye;Wang, Qingyun;Wang, Ying;Wu, Binbin
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제8권10호
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    • pp.3342-3360
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    • 2014
  • In this paper, the capacity and BER performance of downlink distributed antenna systems (DAS) with transmit antenna selection and multiple receive antennas are investigated in MIMO composite channel, where path loss, Rayleigh fading and lognormal shadowing are all considered. Based on the performance analysis, using the probability density function (PDF) of the effective SNR and numerical integrations, tightly-approximate closed-form expressions of ergodic capacity and average BER of DAS are derived, respectively. These expressions have more accuracy than the existing expressions, and can match the simulation well. Besides, the outage capacity of DAS is also analyzed, and a tightly-approximate closed-form expression of outage capacity probability is derived. Moreover, a practical iterative algorithm based on Newton's method for finding the outage capacity is proposed. To avoid iterative calculation, another approximate closed-form outage capacity is also derived by utilizing the Gaussian distribution approximation. With these theoretical expressions, the downlink capacity and BER performance of DAS can be effectively evaluated. Simulation results show that the theoretical analysis is valid, and consistent with the corresponding simulation.

거리정보 기반 무선위치추정을 위한 혼합 폐쇄형 해 (Hybrid Closed-Form Solution for Wireless Localization with Range Measurements)

  • 조성윤
    • 제어로봇시스템학회논문지
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    • 제19권7호
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    • pp.633-639
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    • 2013
  • Several estimation methods used in the range measurement based wireless localization area have individual problems. These problems may not occur according to certain application areas. However, these problems may give rise to serious problems in particular applications. In this paper, three methods, ILS (Iterative Least Squares), DS (Direct Solution), and DSRM (Difference of Squared Range Measurements) methods are considered. Problems that can occur in these methods are defined and a simple hybrid solution is presented to solve them. The ILS method is the most frequently used method in wireless localization and has local minimum problems and a large computational burden compared with closed-form solutions. The DS method requires less processing time than the ILS method. However, a solution for this method may include a complex number caused by the relations between the location of reference nodes and range measurement errors. In the near-field region of the complex solution, large estimation errors occur. In the DSRM method, large measurement errors occur when the mobile node is far from the reference nodes due to the combination of range measurement error and range data. This creates the problem of large localization errors. In this paper, these problems are defined and a hybrid localization method is presented to avoid them by integrating the DS and DSRM methods. The defined problems are confirmed and the performance of the presented method is verified by a Monte-Carlo simulation.

원료불출기의 역기구학: 여유자유도와 구속조건을 이용한 닫힌 형태의 해 (Inverse kinematics of a Reclaimer: Redundancy and a Closed- Form Solution by Exploiting Geometric Constraints)

  • Hong, K.S.;Kim, Y.M.;Shin, K.T.
    • 한국정밀공학회지
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    • 제14권7호
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    • pp.144-153
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    • 1997
  • The inverse kinematics problem of a reclaimer which excavates and transports raw materials in a raw yard is investigated. Because of the geometric feature of the equipment in which scooping buckets are attached around the rotating disk, kinematic redundancy occurs in determining joint variable. Link coordinates are introduced following the Denavit-Hartenbery representation. For a given excavation point the forward kinematics yields 3 equations, however the number of involved joint variables in the equations is four. It is shown that the rotating disk at the end of the boom provides an extra passive degree of freedom. Two approaches are investigated in obtaining inverse kinematics solutions. The first method pre-assigns the height of excavation point which can be determined through path planning. A closed form solution is obtained for the first approach. The second method exploits the orthogonality between the normal vector at the excavation point and the z axis of the end-effector coordinate system. The geometry near the reclaiming point has been approximated as a plane, and the plane equation has been obtained by the least square method considering 8 adjacent points near the point. A closed form solution is not found for the second approach, however a linear approximate solution is provided.

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Neural network based approach for rapid prediction of deflections in RC beams considering cracking

  • Patel, K.A.;Chaudhary, Sandeep;Nagpal, A.K.
    • Computers and Concrete
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    • 제19권3호
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    • pp.293-303
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    • 2017
  • Maximum deflection in a beam is a serviceability design criterion and occurs generally at or close to the mid-span. This paper presents a methodology using neural networks for rapid prediction of mid-span deflections in reinforced concrete beams subjected to service load. The closed form expressions are further obtained from the trained neural networks. The closed form expressions take into account cracking in concrete at in-span and at near the interior supports and tension stiffening effect. The expressions predict the inelastic deflections (incorporating the concrete cracking) from the elastic moments and the elastic deflections (neglecting the concrete cracking). Five separate neural networks are trained since these have been postulated to represent all beams having any number of spans. The training, validating, and testing data sets for the neural networks are generated using an analytical-numerical procedure of analysis. The proposed expressions have been verified by comparison with the experimental results reported elsewhere and also by comparison with the finite element method (FEM). The proposed expressions, at minimal input data and minimal computation effort, yield results that are close to FEM results. The expressions can be used in every day design since the errors are found to be small.

Massive MIMO WPCN에서 에너지 효율 향상을 위한 안테나 수 최적화 기법 (Optimization of the Number of Antennas for Energy Efficiency in Massive MIMO WPCN)

  • 한용규;심동규;이충용
    • 전자공학회논문지
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    • 제52권3호
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    • pp.19-24
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    • 2015
  • 본 논문에서는 massive multiple-input multiple-output (MIMO) 기반의 wireless powered communication network (WPCN)에서 에너지 효율을 향상시키기 위한 기지국 안테나 수 최적화 기법을 제안한다. 제안하는 기법은 massive MIMO 시스템의 채널 hardening 특성을 이용하여 채널 이득을 안테나 수에 대한 식으로 근사한다. 그리고 근사화 된 최적화 문제에 편미분을 적용한 후 Lambert-W 함수를 이용하여 최적해를 closed form으로 찾는다. 모의실험을 통해 제안하는 기법의 근사 과정과 최적화 문제를 해결하는 방법이 적절함을 보이고, closed form 해가 exhaustive search 방법으로 찾은 해와 오차가 크지 않음을 확인한다.

원근 혼합환경에서 간단한 닫힌 형식을 이용한 단일 음원 위치 추정 기법 (Simple closed-form solution for a single source estimation in mixed far-field and near-field conditions)

  • 정태진;이균경
    • 한국음향학회지
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    • 제35권1호
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    • pp.35-41
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    • 2016
  • 본 논문에서는 상관함수와 최소자승 기법에 기반하여 단일 음원의 위치가 원거리 혹은 근거리 모두 가능한 경우, 이에 상관없이 닫힌 형태로 위치를 추정하는 기법을 제안한다. 최근 균일 환영 배열에서 상호상관함수를 이용하여 원거리 단일 음원의 위치를 2차원으로 추정하는 기법이 제안되었으며, 이를 확장하여 근거리 단일 음원의 위치를 3차원으로 추정하는 기법이 제안되었다. 그러나 기존 기법은 음원의 위치가 원거리, 혹은 근거리로 제한된 상황만 다루고 있다. 반면 제안 기법은 먼저 원거리 음원으로 가정하여 거리 독립적으로 방위와 고각을 구하고 이후 거리 추정에서 원거리와 근거리 음원을 구분하여 혼합 환경에 적용가능하다. 시뮬레이션에서는 두 가지 경우 모두에 대해 실험하여 제안 기법의 타당성을 검증하였다.

오버랩 기반 CSS 시스템 설계를 위한 닫힌꼴 비트 오류율 표현 (A Closed-Form BER Expression for Overlap-Based CSS System Design)

  • 윤태웅;이영윤;이명수;송익호;윤석호
    • 한국통신학회논문지
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    • 제34권4C호
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    • pp.469-475
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    • 2009
  • Chirp 확산 대역에서 (chirp spread spectrum: CSS) 데이터 전송량을 증가시키기 위해 사용되는 오버랩 기법은 인접 심벌 간 간섭을 (intersymbol interference: ISI) 유발하여 심각한 비트 오류율 (bit error rate: BER) 성능 저하를 초래한다. 따라서 효과적으로 오버랩 기법을 사용하기 위해서는 요구되는 BER 성능 기준에 따라 적절한 횟수로 오버랩을 실시하여야 한다. 본 논문에서는 근사화 된 가우시안 Q 함수를 바탕으로 오버랩 횟수를 매개변수로 가지는 오버랩 기법이 적용된 CSS 시스템의 닫힌꼴 BER 성능 수식을 유도한다. 유도한 닫힌꼴 BER 성능 수식의 정확성은 모의실험 결과와의 비교를 통하여 검증한다.