• 제목/요약/키워드: convex distribution

검색결과 118건 처리시간 0.023초

Optimal shape design of contact systems

  • Mahmoud, F.F.;El-Shafei, A.G.;Al-Saeed, M.M.
    • Structural Engineering and Mechanics
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    • 제24권2호
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    • pp.155-180
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    • 2006
  • Many applications in mechanical design involve elastic bodies coming into contact under the action of the applied load. The distribution of the contact pressure throughout the contact interface plays an important role in the performance of the contact system. In many applications, it is desirable to minimize the maximum contact pressure or to have an approximately uniform contact pressure distribution. Such requirements can be attained through a proper design of the initial surfaces of the contacting bodies. This problem involves a combination of two disciplines, contact mechanics and shape optimization. Therefore, the objective of the present paper is to develop an integrated procedure capable of evaluating the optimal shape of contacting bodies. The adaptive incremental convex programming method is adopted to solve the contact problem, while the augmented Lagrange multiplier method is used to control the shape optimization procedure. Further, to accommodate the manufacturing requirements, surface parameterization is considered. The proposed procedure is applied to a couple of problems, with different geometry and boundary conditions, to demonstrate the efficiency and versatility of the proposed procedure.

HYPERGEOMETRIC DISTRIBUTION SERIES AND ITS APPLICATION OF CERTAIN CLASS OF ANALYTIC FUNCTIONS BASED ON SPECIAL FUNCTIONS

  • Murugusundaramoorthy, Gangadharan;Porwal, Saurabh
    • 대한수학회논문집
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    • 제36권4호
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    • pp.671-684
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    • 2021
  • The tenacity of the current paper is to find connections between various subclasses of analytic univalent functions by applying certain convolution operator involving generalized hypergeometric distribution series. To be more specific, we examine such connections with the classes of analytic univalent functions k - 𝓤𝓒𝓥* (𝛽), k - 𝓢*p (𝛽), 𝓡 (𝛽), 𝓡𝜏 (A, B), k - 𝓟𝓤𝓒𝓥* (𝛽) and k - 𝓟𝓢*p (𝛽) in the open unit disc 𝕌.

골재 크기와 분포 특성을 분석하기 위한 골재 인식 알고리즘 개발 (Development of Aggregate Recognition Algorithm for Analysis of Aggregate Size and Distribution Attributes)

  • 서명국;이호연
    • 드라이브 ㆍ 컨트롤
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    • 제19권3호
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    • pp.16-22
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    • 2022
  • Crushers are equipment that crush natural stones, to produce aggregates used at construction sites. As the crusher proceeds, the inner liner becomes worn, causing the size of the aggregate produced to gradually increase. The vision sensor-based aggregate analysis system analyzes the size and distribution of aggregates in production, in real time through image analysis. This study developed an algorithm that can segmentate aggregates in images in real time. using image preprocessing technology combining various filters and morphology techniques, and aggregate region characteristics such as convex hull and concave hull. We applied the developed algorithm to fine aggregate, intermediate aggregate, and thick aggregate images to verify their performance.

철원지역 두루미 취식지의 핵심지역 설정을 위한 MCP, 커널밀도측정법(KDE)과 국지근린지점외곽연결(LoCoH) 분석 (MCP, Kernel Density Estimation and LoCoH Analysis for the Core Area Zoning of the Red-crowned Crane's Feeding Habitat in Cheorwon, Korea)

  • 유승화;이기섭;박종화
    • 한국환경생태학회지
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    • 제27권1호
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    • pp.11-21
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    • 2013
  • 본 연구는 두루미(Grus japonensis)의 이용분포 내에서 행동권 분석의 기법인 MCP(최소볼록다각형법), KDE(커널밀도측정법), LoCoH(국지근린지점외곽연결)를 이용하여 이용면적과 핵심서식지를 선정하였다. 또한, 각 기법의 차이와 의미를 고찰하도록 하였다. 두루미의 분포자료는 철원지역 2012년 2월 17일 조사자료를 사용하였다. MCP에 의한 두루미류 서식영역은 $140km^2$이었다. KDE 분석에서 띠폭에 해당하는 h값을 1000m, CVh, LSCVh로 달리하여 KDE 등치선을 생성하였을 때, 핵심지역에 해당하는(Kernel 50% 이상) 면적은 $33.3km^2$($KDE_{1000m}$), $25.7km^2$($KDE_{CVh}$), $19.7km^2$($KDE_{LSCVh}$)이었다. 결과적으로 띠폭에 대한 기본값(1000m)-CVh(554.6m)-LSCVh(329.9m) 순으로 변수를 작게 입력할 경우 핵심면적 개수는 늘어나고, 면적은 감소하였으며, 형태의 복잡성은 증가하였다. 두루미류의 KDE 분석에 의한 핵심지역의 선정에서 적합한 띠폭변수는 CVh 값인 것으로 판단되었다. LoCoH분석에서는 서식범위와 핵심지역(50% 등치선 이상의 지역)의 면적이 k값의 증가에 따라 증가하는 모습을 보였으며, 점차 큰 핵심지역으로 합쳐지는 모습을 나타내었다. 핵심지역을 도출하기에 적합한 k 값은 24로 나타났으며, 전체 개체군의 핵심지역은 $18.2km^2$로 전체 서식면적의 16.5%를 차지하였다. 최종적으로, LoCoH 분석은 두 개의 큰 핵심서식지를 제시하였으며, 이것은 KDE에 의한 핵심지역에 비하여 작은 수의 핵심지역을 제시한 것이었다. 국내의 게재논문 및 발표자료를 포함한 연구에서 KDE는 대부분 기본설정으로 분석되었으며, 띠폭에 의한 변수를 고려한 것은 매우 드물었다. 따라서 띠폭변수를 명확히 제시하는 것이 요구되었다.

M/En/1 큐에서 Overshoot에 대한 근사 (An Approximation to the Overshoot in M/En/1 Queues)

  • 배종호;정아름;김성곤
    • 응용통계연구
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    • 제24권2호
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    • pp.347-357
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    • 2011
  • 본 논문은 M/$E_n$/1 큐에서 overshoot에 대한 근사식을 제안한다. overshoot은 큐의 작업부하량과정이 어떤 한계점을 처음으로 초과한 순간에 그 초과량을 의미하는데, overshoot의 분포 및 1차, 2차 적률은 큐의 최적화문제를 푸는데 중요한 역할을 한다. 본 논문에서는 그동안 이루어진 overshoot의 분포에 대한 이론적인 결과를 바탕으로 하여 overshoot의 분포를 고객의 서비스시간의 분포와 지수분포의 선형결합으로 표현하는 근사식을 제안한다. 그리고 제안된 근사식의 정확성을 확인하기 위하여 시뮬레이션을 통해 구한 overshoot의 분포와 비교한다.

아고산 지역의 구상나무 분포 변화에 관한 연구 (A Study on Changes and Distributions of Korean Fir in Sub-Alpine Zone)

  • 김남신;이희천
    • 한국환경복원기술학회지
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    • 제16권5호
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    • pp.49-57
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    • 2013
  • This study was carried out to analysis change of distribution and habitat location environment of Korean Fir which is typically vulnerable species by the climate change in Mt. Jiri and Halla. Korean Fir was decreased 18% during 27 year since year 1981, Mt. Halla was 34% during 15 years since year 1988. In the same periods, Temperature change was increased from 8.56 to $9.36^{\circ}C$, from 11.2 to $12.1^{\circ}C$. Distribution changes by the elevation showed higher change ratio 1,400~1,600m in Mt. Jiri and 1,200~1,900m in Mt. Halla. Changes of Korean Fir each slope aspects was high $180{\sim}360^{\circ}$ in Mt. Jiri, $45^{\circ}$ in Mt. Halla. In slope was $30^{\circ}$ in Mt. Jiri and $20^{\circ}$ in Mt. Halla. Changes by reliefs was 12 in Mt. Jiri, 0 or 15 in Mt. Halla, and Sites of Korean Fir was convex slopes both of two areas. Changes by soils was in the good drainage textures.

대형 뉴메틱케이슨 강성기초의 접지압분포 (Distribution of Ground Contact Pressure under Rigid Foundation of Large Pneumatic Caisson)

  • 홍원표;여규권
    • 대한토목학회논문집
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    • 제28권2C호
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    • pp.105-115
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    • 2008
  • 다양한 지층에 설치된 대형 뉴메틱케이슨의 강성기초에 작용하는 접지압분포를 파악하기 위하여 영종대교하부기초로 채택된 뉴메틱케이슨 시공시 실시한 현장계측자료를 분석하였다. 뉴메틱케이슨의 침설시 케이슨의 하부 접지면에 케이슨의 침설에 저항하여 저항력이 작용할 것이다. 이 저항력을 뉴메틱케이슨 기초저면 모서리에 설치한 반압계로 측정할 수 있었다. 그리고 이 저항력측정기록을 이용하여 접지압을 산정하였다. 측정기록의 분석결과 기반암구간에서 뉴메틱케이슨기초에 작용하는 접지압분포는 아래로 볼록한 형상의 접지압분포를 보이는 반면에 해성퇴적층과 풍화암층에서의 접지압분포는 위로 볼록한 형상을 보인다. 그리고 이들 접지압분포는 대체적으로 모든 지층에서 대칭분포를 나타내고 있다. 대형 뉴메틱케이슨기초에 작용한 최대접지압에 의하여 제시된 접지압분포는 Kgler(1936)와 Fang(1991)이 강성기초를 대상으로 제시한 접지압분포특성과 잘 일치하는 것으로 나타났다.

OPTIMAL DESIGN FOR CAPACITY EXPANSION OF EXISTING WATER SUPPLY SYSTEM

  • Ahn, Tae-Jin;Lyu, Heui-Jeong;Park, Jun-Eung;Yoon, Yong-Nam
    • Water Engineering Research
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    • 제1권1호
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    • pp.63-74
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    • 2000
  • This paper presents a two- phase search scheme for optimal pipe expansion of expansion of existing water distribution systems. In pipe network problems, link flows affect the total cost of the system because the link flows are not uniquely determined for various pipe diameters. The two-phase search scheme based on stochastic optimization scheme is suggested to determine the optimal link flows which make the optimal design of existing pipe network. A sample pipe network is employed to test the proposed method. Once the best tree network is obtained, the link flows are perturbed to find a near global optimum over the whole feasible region. It should be noted that in the perturbation stage the loop flows obtained form the sample existing network are employed as the initial loop flows of the proposed method. It has been also found that the relationship of cost-hydraulic gradient for pipe expansion of existing network affects the total cost of the sample network. The results show that the proposed method can yield a lower cost design than the conventional design method and that the proposed method can be efficiently used to design the pipe expansion of existing water distribution systems.

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A Joint Resource Allocation Scheme for Relay Enhanced Multi-cell Orthogonal Frequency Division Multiple Networks

  • Fu, Yaru;Zhu, Qi
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제7권2호
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    • pp.288-307
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    • 2013
  • This paper formulates resource allocation for decode-and-forward (DF) relay assisted multi-cell orthogonal frequency division multiple (OFDM) networks as an optimization problem taking into account of inter-cell interference and users fairness. To maximize the transmit rate of system we propose a joint interference coordination, subcarrier and power allocation algorithm. To reduce the complexity, this semi-distributed algorithm divides the primal optimization into three sub-optimization problems, which transforms the mixed binary nonlinear programming problem (BNLP) into standard convex optimization problems. The first layer optimization problem is used to get the optimal subcarrier distribution index. The second is to solve the problem that how to allocate power optimally in a certain subcarrier distribution order. Based on the concept of equivalent channel gain (ECG) we transform the max-min function into standard closed expression. Subsequently, with the aid of dual decomposition, water-filling theorem and iterative power allocation algorithm the optimal solution of the original problem can be got with acceptable complexity. The third sub-problem considers dynamic co-channel interference caused by adjacent cells and redistributes resources to achieve the goal of maximizing system throughput. Finally, simulation results are provided to corroborate the proposed algorithm.

맨드렐을 이용한 엘보우 성형 공정해석 (Process Analysis of Elbow-shaped Tubes using a Mandrel)

  • 오일영;박성환;박준영;이성훈;이의용;문영훈
    • 소성∙가공
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    • 제26권1호
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    • pp.11-17
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    • 2017
  • In this study, process analysis of elbow-shaped tubes using a mandrel has been performed. To reach the final shape within the dimensional tolerance, the process analysis has been performed at various processing parameters such as tube dimensions, the curved cutting surface and the radius of curvature. The area outside the boundary of the target shape was expressed as a quantitative index to analyze the formability. The validation experiments have also been performed in order to increase the reliability of the process analysis. For the processing of elbow-shaped tubes, it is preferable to make the angle of the portion where the punch touches the tube smaller than the opposite angle. And the convex cutting surface is advantageous due to the increased contacts between the punch and the tube ends during the bending process. Elbow tube having larger radius of curvature shows higher dimensional accuracy due to the relatively uniform strain distribution.