• 제목/요약/키워드: Equation of a Circle

검색결과 73건 처리시간 0.05초

A Roots Method in GI/PH/1 Queueing Model and Its Application

  • Choi, Kyung Hwan;Yoon, Bong Kyoo
    • Industrial Engineering and Management Systems
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    • 제12권3호
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    • pp.281-287
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    • 2013
  • In this paper, we introduce a roots method that uses the roots inside the unit circle of the associated characteristics equation to evaluate the steady-state system-length distribution at three epochs (pre-arrival, arbitrary, and post-departure) and sojourn-time distribution in GI/PH/1 queueing model. It is very important for an air base to inspect airplane oil because low-quality oil leads to drop or breakdown of an airplane. Since airplane oil inspection is composed of several inspection steps, it sometimes causes train congestion and delay of inventory replenishments. We analyzed interarrival time and inspection (service) time of oil supply from the actual data which is given from one of the ROKAF's (Republic of Korea Air Force) bases. We found that interarrival time of oil follows a normal distribution with a small deviation, and the service time follows phase-type distribution, which was first introduced by Neuts to deal with the shortfalls of exponential distributions. Finally, we applied the GI/PH/1 queueing model to the oil train congestion problem and analyzed the distributions of the number of customers (oil trains) in the queue and their mean sojourn-time using the roots method suggested by Chaudhry for the model GI/C-MSP/1.

Liquid boundary effect on free vibration of an annular plate coupled with a liquid

  • Kyeong-Hoon Jeong
    • Coupled systems mechanics
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    • 제12권2호
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    • pp.127-149
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    • 2023
  • A theoretical method is developed to analyze the free vibration of an elastic annular plate in contact with an ideal liquid. The displacement potential functions of the contained liquid are expressed as a combination of the Bessel functions that satisfy the Laplace equation and the liquid boundary conditions. The compatibility condition along the interface between the annular plate and the contained liquid is taken into account to consider the fluid-structure coupling. The dynamic displacement of the wet annular plate is assumed to be a combination of dry eigenfunctions, allowing for prediction of the natural frequencies using the Rayleigh-Ritz method. The study investigates the effect of radial liquid boundary conditions on the natural frequencies of the wet annular plate, considering four types of liquid bounding: outer container bounded, outer and inner bounded, inner bounded, and radially unbounded. The proposed theoretical method is validated by comparing the predicted wet natural frequencies with those obtained from finite element analysis, showing excellent accuracy. The results indicate that the radial liquid bounding effect on the natural frequencies is negligible for the axisymmetric vibrational mode, but relatively significant for the mode with one nodal diameter (n =1) and no nodal circle (m' = 0). Furthermore, the study reveals that the wet natural frequencies are the largest for the plate with an inner bounded cylinder among the radial liquid boundary cases, regardless of the vibration mode.

Estimation of Chinese Cabbage Growth by RapidEye Imagery and Field Investigation Data

  • Na, Sangil;Lee, Kyoungdo;Baek, Shinchul;Hong, Sukyoung
    • 한국토양비료학회지
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    • 제48권5호
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    • pp.556-563
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    • 2015
  • Chinese cabbage is one of the most important vegetables in Korea and a target crop for market stabilization as well. Remote sensing has long been used as a tool to extract plant growth, cultivated area and yield information for many crops, but little research has been conducted on Chinese cabbage. This study refers to the derivation of simple Chinese cabbage growth prediction equation by using RapidEye derived vegetation index. Daesan-myeon area in Gochang-gun, Jeollabuk-do, Korea is one of main producing district of Chinese cabbage. RapidEye multi-spectral imagery was taken on the Daesan-myeon five times from early September to late October during the Chinese cabbage growing season. Meanwhile, field reflectance spectra and five plant growth parameters, including plant height (P.H.), plant diameter (P.D.), leaf height (L.H.), leaf length (L.L.) and leaf number (L.N.), were measured for about 20 plants (ten plants per plot) for each ground survey. The normalized difference vegetation index (NDVI) for each of the 20 plants was measured using an active plant growth sensor (Crop $Circle^{TM}$) at the same time. The results of correlation analysis between the vegetation indices and Chinese cabbage growth data showed that NDVI was the most suited for monitoring the L.H. (r=0.958~0.978), L.L. (r=0.950~0.971), P.H. (r=0.887~0.982), P.D. (r=0.855~0.932) and L.N. (r=0.718~0.968). Retrieval equations were developed for estimating Chinese cabbage growth parameters using NDVI. These results obtained using the NDVI is effective provided a basis for establishing retrieval algorithm for the biophysical properties of Chinese cabbage. These results will also be useful in determining the RapidEye multi-spectral imagery necessary to estimate parameters of Chinese cabbage.

인벌류우트-원호 합성치형의 적정 원호반경에 대한 연구 (A Study on the Adequate Radius of Circular Arc in the Involute-Circular Arc Composite Tooth Profile)

  • 정인승;손지원;윤갑영
    • 대한기계학회논문집
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    • 제11권2호
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    • pp.296-303
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    • 1987
  • 본 논문에서는 동력전달용 기어에 주로 쓰이는 물림률 1.3 이상일 때, 치면접 촉응력과 공칭굽힘응력이 작게되는 풀림각 1˚로 고정하여 잇수 30∼100개 압력각 14˚∼30˚의 범위에서 최소 원호반경식과 치형 조건을 만족하는 최대 원호반경식에 대하여 고찰하였다.

Prediction of Ship Manoeuvrability in Initial Design Stage Using CFD Based Calculation

  • Cho, Yu-Rim;Yoon, Bum-Sang;Yum, Deuk-Joon;Lee, Myen-Sik
    • Journal of Ship and Ocean Technology
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    • 제11권1호
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    • pp.11-24
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    • 2007
  • Better prediction of a ship's manouevrabilty in initial design stage is becoming more, important as IMO manoeuvring criteria has been activated in the year of 2004. In the present study, in order to obtain more exact and reliable results for ship manoeuvrability in the initial design stage, numerical simulation is carried out by use of RANS equation based calculation of hydrodynamic forces exerted upon the ship hull. Other forces such as rudder force and propeller force are estimated by one of the empirical models recommended by MMG Group. Calculated hydrodynamic force coefficients are compared with those obtained by empirical models. Standard manoeuvring simulations such as turning circle and zig-zag are also carried out for a medium size Product Carrier and the results are compared with those of pure empirical models and manoeuvring sea trial. Generally good qualitative agreement is obtained in hydrodynamic forces due to steady oblique motion and steady turning motion between the results of CFD calculation and those of MMG model, which is based on empirical formulas. The results of standard manoeuvring simulation also show good agreement with sea trial results.

머신비전을 이용한 PCB 스크린인쇄기의 정렬오차측정 및 위치보정 (2) (Measurement and Correction of PCB Alignment Error for Screen Printer Using Machine Vision (2))

  • 신동원
    • 한국정밀공학회지
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    • 제20권6호
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    • pp.96-104
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    • 2003
  • This paper presents the measurement and correction method of PCB alignment errors for PCB screen printer. Electronic equipment is getting smaller and yet must satisfy high performance standard. Therefore, there is a great demand for PCB with high density. However conventional PCB screen printer doesn't have enough accuracy to accommodate the demand for high-resolution circuit pattern and high-density mounting capacity of electronic chips. It is because the alignment errors of PCB occur when it is loaded to the screen printer. Therefore, this study focuses on the development of the system which is able to measure and correct alignment errors with high-accuracy. An automatic optical inspection part measures the PCB alignment errors using machine vision, and the high-accuracy 3-axis stage makes correction for these errors. This system used two CCD cameras to get images of two fiducial marks of PCB. The centers of fiducial marks are obtained by using moment, gradient method. The first method is calculating the centroid by using first moment of blob, and the latter method is calculating the center of the circle whose equation is obtained by curve-fitting the boundaries of fiducial mark. The operating system used to implement the whole set-up is carried in Window 98 (or NT) environment. Finally we implemented this system to PCB screen printer.

유연생산 시스템 구축을 위한 공작물 자동교환 유닛의 수평 이송 기구 설계에 관한 연구(파트 2) (A Study on the Design of Horizontal Traverse Units in an Automatic Object Changer Unit to Establish a Flexible Production System (Part 2))

  • 박후명;성재경;이용중;하만경
    • 한국기계가공학회지
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    • 제7권2호
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    • pp.52-59
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    • 2008
  • The objective of this study is to develop an automatic object changer unit to improve processing problems existed in the conventional horizontal machining center. To achieve this goal, this study designed a horizontal transfer as the second project continued to the first project that designed a upward and downward traverse unit. A horizontal traverse unit shows a symmetric structure and consists of frame, which consists of four unit tools, motor and reducer, which are fixed at a frame, operation unit with pinions, first traverse unit, and second traverse unit. Constraint conditions based on the operation mechanism with these elements were configured and obtained following results after modeling a model for a traverse motor. In the kinematic expression of sliding motion with one degree of freedom, the sliding motion is constrained. Also, the rack 3 installed at a frame is used to configure possible kinematic constraint conditions of the rack 2 according to the rolling motion of the pinion 2 in the first traverse unit. In addition, the moment of inertia that is a type of kinetic energy in a converted horizontal traverse unit in the side of the reducer can be applied to introduce the moment of inertia of a converted horizontal traverse unit in the side of the reducer by using the sum of kinetic energy in the rack and pinion, which is a part of the horizontal traverse unit. Also, the equation of motion of the converted upward and downward traverse unit in the side of the motor using the equation of motion of the motor. Furthermore, the horizontal traverse unit predetermines the mass of the first and second traverse unit and applied load including the radius and reduction ratio of the pitch circle in the pinion 1 and applied load to the rack 2. Then, a proper motor can be determined using several parameters in the upward and downward traverse unit in order to verify such predetermined specifications. In future studies later this study, a simulation that verifies the results of the previous two stages of studies using a finite element method.

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천해에서 간섭패턴 정합을 이용한 근거리 음원의 3차원 위치추정 기법연구 (A Study on 3-Dimensional Near-Field Source Localization Using Interference Pattern Matching in Shallow Water Environments)

  • 김세영;천승용;손윤준;김기만
    • 한국음향학회지
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    • 제28권4호
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    • pp.318-327
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    • 2009
  • 본 논문에서는 천해환경에서 근거리 광대역 음원의 3차원 위치추정 알고리즘을 제안한다. 음향 도파관 불변 이론에 따라 센서 스펙트로그램에 나타나는 간섭패턴의 기울기는 음원의 거리에 비례한다. 두 개의 센서 스펙트로그램에 나타나는 간섭패턴의 정합을 통해 음원과 두 센서간의 상대적인 거리비를 추정 하였다. 이를 아폴로니오스의 원에 적용하여 두 센서로부터 일정한 거리비를 가지는 음원의 궤적을 나타낸다. 3개의 센서를 이용하면 두 개의 아폴로니오스 원이 음원의 수평거리와 방위를 나타내는 교점을 형성하며 이는 음원의 수심에 대하여 일정하다. 따라서 음원의 깊이는 두 센서로부터 거리차가 일정한 3차원 쌍곡면의 방정식을 적용하여 최종 추정하였다. 제안된 알고리즘의 성능평가를 위하여 음파 전달 모델을 이용한 모의실험을 통해 위치추정 오차를 분석하였다. 모의실험 결과 음원의 거리에 대한 추정오차는 50 m이내, 깊이에 대한 추정오차는 15 m 이내인 것으로 나타났다.

이산시간 Q 매개변수화 제어를 이용한 자기축수 시스템에 대한 부상과 불평형보정의 실험적 평가 (Experimental Evaluation of Levitation and Imbalance Compensation for the Magnetic Bearing System Using Discrete Time Q-Parameterization Control)

  • 이준호;;이기서
    • 소음진동
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    • 제8권5호
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    • pp.964-973
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    • 1998
  • 본 논문에서 자기 축수 시스템의 부상과 불평형 보상 제어기를 제안한다. 특정한 동작속도에서 불균형 진동과 부상을 제어하기위해 우리는 이산시간 Q 매개변수화 제어를 사용한다. 회전자의 속도가 p=0일 때, 회전소도와 같은 주파수로 회전자의 불균형은 없다. 그래서 부상을 만들기 위해 우리는 제어기가 z=1의 단위원에서 극점을 가지는 Q매개변수화 Q를 선택한다. 그러나 회전자의 속도가 p$\neq$0일 때, 회전속도와 같은 주파수로 정현파의 외란이 존재하게 된다. 그래서 이 외란의 점근적인 소멸을 하기위해 Q 매개화변수 제어기 자유 변수 Q가 제어기가 어떠한 회전속도 p에 대한 z=expjpTs에 있는 단위 원에서 극점을 가지도록 선택된다. 첫째로, 우리는 이 연구에서 적용된 실험적인 구성을 소개한다. 두 번째로, 우리는 차분 방정식의 형태로 자기축수 시스템의 수학적인 모델을 제안한다. 세 번째로 우리는 제안된 이산 시간 Q매개변수화 제어기 설계방법을 설명한다. 제어기의 자유 매개변수 Q는 안정한 전달함수가 된다고 가정한다. 네 번째로, 우리는 설계목적을 만족하는 자유 매개변수가 복잡한 최적문제를 풀기보다는 선형 방정식을 구함으로서 만족될 수 있다. 마지막으로 몇 개의 시뮬레이션과 실험적인 결과가 제언된 제어기를 평가하기 위해 구해진다. 획득된 결과는 회전설계 속도에서의 불균형 진동을 제어하는 제안된 제어기의 효과를 나타낸다.

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기업의 사회적 책임 속성이 기업 신뢰와 구매 의도에 미치는 영향 (The Effect of Corporate Social Responsibility on Corporate Trust and Purchase Intention)

  • 남현동;남태우
    • 산업경영시스템학회지
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    • 제43권3호
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    • pp.243-253
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    • 2020
  • As economic profits and social influences of firms grow with economic development and their organizational expansion, consumers increasingly require firms to have their social responsibility. Because social responsibility strongly influences corporate reliability, consumers' intention to purchase, customer loyalty to the products and the recognition of an ethical firm have gained attention as a concept of strategical importance. The prosperity of society should be proceeded for the sustainable development of a firm and the necessity of social responsibility should be emphasized to achieve virtuous circle structure that promotes growth. Additionally, the social responsibility should be proceeded to form trust on a firm. It is very important to change the recognition of consumers to purchase products and increase the profit of a company. This study aims to analyze how social responsibility properties of firms (economic, ethical, discretionary, and legal aspects as low-level factors of social responsibility which Carroll (1979) defined) affect corporate reliability and purchase intention. The analysis found that consumers trust in firms are positively influenced by ethical responsibility (0.391), economic responsibility (0.293), legal responsibility (0.251), and discretionary responsibility (0.248). The relationship between sub-factor of social responsibility and purchase intention is not significantly influenced by other explanatory variables. Corporate trust exerts a direct influence on purchase Intention (0.456). The social responsibility of a firm didn't influence a direct purchase intention. It was found that it brought positive effect on the purchase intention in the course of forming trust. This study suggests that firms should make efforts to understand the relationship between corporate trust and purchase intention along with the characteristics of social responsibility that consumers recognize and improve management strategies for mutual complementary interests.