• 제목/요약/키워드: mathematical change

검색결과 878건 처리시간 0.029초

정전척 온도분포 개선을 위한 냉각수 관로 형상 (Coolant Path Geometry for Improved Electrostatic Chuck Temperature Variation)

  • 이기석
    • 반도체디스플레이기술학회지
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    • 제10권4호
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    • pp.21-23
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    • 2011
  • Uniformity of plasma etching processes critically depends on the wafer temperature and its distribution. The wafer temperature is affected by plasma, chucking force, He back side pressure and the surface temperature of ESC(electrostatic chuck). In this work, 3D mathematical modeling is used to investigate the influence of the geometry of coolant path and the temperature distribution of the ESC surface. The model that has the coolant path with less change of the cross-sectional area and the curvature shows low standard deviation of the ESC surface temperature distribution than the model with the coolant path of the larger surface area and more geometric change.

공기스프링의 파라미터 변화가 특성 변화에 미치는 영향 (The Effects of Parameter Changes on the Properties of an Air Spring)

  • 장지성
    • 동력기계공학회지
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    • 제18권2호
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    • pp.77-82
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    • 2014
  • The air spring is widely used in various fields such as a suspension system and an anti-vibration system because the natural frequency is kept constant regardless of the change in the load, spring constant is easy to change, and, vibration and shock isolation performance are excellent. The purpose of this study is to derive a nonlinear governing equation of an air spring, to analyze the effect of the various parameters on the dynamic stiffness of the air spring, and, to suggest a more efficient design method of an air spring system. In order to do so, this study investigates the impact of all the parameters that could affect the dynamic stiffness of the air spring while changing the excitation amplitude and the frequency with a developed governing equation.

시뮬레이션을 이용한 공급사슬관리에서의 정보공유 방식에 따른 효과분석 (Analysis of the effects of information-sharing on supply chain management using simulation)

  • 이광수;이창호
    • 대한안전경영과학회지
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    • 제12권4호
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    • pp.153-160
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    • 2010
  • In this paper, effects of information sharing in multi-level supply chain management have been studied through simulation. The simulation model consists of a manufacturing company as a center, three suppliers, two logistic centers, and three different retail supply lines of each logistics centers. The mathematical model and the simulation were developed when real-time information sharing occurs and does not occur in supply chain under the assumption that each company applies (s, S) inventory policies. In addition, this paper analyzed the effects of the change of variables related to total costs, which compose of total ordering cost, total transportation cost, total carrying cost and shortage cost that are caused by the change of demand of three different patterns with the way of information sharing.

지능형 가공시스템의 오차 보정에 관한 연구 (A Study on the Error Compensation of Artificial Intelligent Process System)

  • 공석민;김영탁;문희근;김관형;이상배
    • 한국지능시스템학회논문지
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    • 제11권8호
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    • pp.736-741
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    • 2001
  • 변형된 영상을 다시금 최적영상을 복원하는 것은 여러 영상변환의 복합적인 변환, 그 것의 역변환과 많은 다중 해의 계산을 요구하게 된다. 본 연구에서는 가공기의 운전 전이나 운전 중에 가공기의 외란-진동, 이동, 기계적 특성-에 능동적으로 대치하고 동시에 복잡한 수학적인 수식전개를 피하고, 인공지능인 기법인 퍼지논리(Fuzzy Logic)를 적용하여 전문가적인 경험지식을 바탕으로 보정이 가능함을 보였다.

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하역효율 향상을 위한 컨테이너 크레인의 제어기 설계 (Design of a Container Crane Controller for High Efficiency in Cargo Handling)

  • 신선근;최재준;소명옥;한국해
    • Journal of Advanced Marine Engineering and Technology
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    • 제24권4호
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    • pp.502-508
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    • 2000
  • The amount of container freight is continuously increasing recently, but freight congestion problem frequently occurs at ports due to low efficiency of container crane in transportation and cargo handling. In this paper, a method for designing a fuzzy controller of the container crane system is presented. In this scheme a mathematical model for the system is obtained in state space representation. The response of the proposed fuzzy controller is compared with that of the optimal controller at the same condition. Through the simulation results, the performance of the fuzzy controller was observed better than that of optimal controller in respect of reference change, disturbances and parameter change. The fuzzy controller was also more stable and robust than the optimal controller.

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On Strongly Nonlinear Implicit Complementarity Problems in Hilbert Spaces

  • Cho, Yeol Je;Huang, Nan-Jing
    • Kyungpook Mathematical Journal
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    • 제46권1호
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    • pp.145-152
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    • 2006
  • In this paper, we study a class of strongly nonlinear implicit complementarity problems in the setting of Hilbert spaces H (not necessarily Hilbert lattices). By using the property of the projection and a suitable change of variables, we establish the equivalence between the strongly nonlinear implicit complementarity problem and the fixed point problem in H. Moreover, we use this equivalence and the fixed point theorem of Boyd and Wong to prove the existence and uniqueness of solutions for the strongly nonlinear implicit complementarity problem in H.

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수분손상에 민감한 포장된 제품의 저장수명 예측 (Shelf Life Prediction for Packaged Produce Sensitive to Moisture Damage)

  • 이종현
    • 한국포장학회지
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    • 제4권1호
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    • pp.23-32
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    • 1997
  • The change in moisture content of moisture sensitive products in moisture-semipermeable packages was investigated for the purpose of predicting the shelf life of a product-package combination. A mathematical model, and a computer program based on the physiochemical properties of the product and the moisture permeability of the package was developed. The moisture content for products in moisture-semipermeable packages was determined under various environmental conditions and the results were compared with the predicted values by means of the simulation model. These experimental studies demonstrated that the prediction of the change in moisture content of packaged products over time by the simulation model is accurate, within a practical range of temperature and relative humidity values. The developed semi-empirical model is considered to have applications in industry, since it provides product shelf life information for a range of temperature and relative humidity conditions, with a limited number of experimentally obtained data points.

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Sport impact on the strength of the nanoscale protein tissues under the thermal condition

  • Xin, Fang;Mengqian, Hou
    • Advances in nano research
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    • 제13권6호
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    • pp.561-574
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    • 2022
  • The stability of protein tissues and protein fibers in the human muscle is investigated in the presented paper. The protein fibers are modeled via tube structures embedded in others proteins fibers like the elastic substrate. Physical sport and physical exercise play an important role in the stability of synthesis and strength of the protein tissues. In physical exercise, the temperature of the body increases, and this temperature change impacts the stability of the protein tissues, which is the aim of the current study. The mathematical simulation of the protein tissues is done based on the mechanical sciences, and the protein fibers are modeled via wire structures according to the high-order theory beams. The thermal stress due to the conditions of the sport is applied to the nanoscale protein fibers, then the stability regarding the frequency analysis is investigated. Finally, the impact of temperature change, physical exercise, and small-scale parameters on the stability of the protein tissues are examined in detail.

CHANGING RELATIONSHIP BETWEEN SETS USING CONVOLUTION SUMS OF RESTRICTED DIVISOR FUNCTIONS

  • ISMAIL NACI CANGUL;DAEYEOUL KIM
    • Journal of applied mathematics & informatics
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    • 제41권3호
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    • pp.553-567
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    • 2023
  • There are real life situations in our lives where the things are changing continuously or from time to time. It is a very important problem for one whether to continue the existing relationship or to form a new one after some occasions. That is, people, companies, cities, countries, etc. may change their opinion or position rapidly. In this work, we think of the problem of changing relationships from a mathematical point of view and think of an answer. In some sense, we comment these changes as power changes. Our number theoretical model will be based on this idea. Using the convolution sum of the restricted divisor function E, we obtain the answer to this problem.

RME 기반 수학 교실에서의 개념적 모델의 사회적 변환: 미분방정식에 대한 개념적 은유 사용 패턴 분석 (Social Transformation of Students' Conceptual Model in an RME-based Differential Equations Course: An Analysis of Students' Use of Conceptual Metaphor)

  • 주미경;권오남
    • 대한수학교육학회지:수학교육학연구
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    • 제14권3호
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    • pp.221-237
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    • 2004
  • 본 연구는 개념적 은유의 분석을 통해 RME 기반 대학 미분방정식 수업에 참여한 학생들의 개념적 모델의 변환을 탐구하였다. 분석 결과 학기초 이산적이고 양적인 개념적 모델이 학생들의 수학적 토의 맥락에서 지배적이었으나 맥락문제탐구에 기반한 수학적 의미의 재조정 과정을 통해 연속적이고 질적인 사고를 반영하는 개념적 모델이 발생하여 기존의 개념적 모델이 확장됨이 밝혀졌다. 이와 같은 개념적 모델의 변환은 본 프로젝트 교실 참여가 학생들의 미분방정식에 대한 문제해결적 사고의 유연성을 증대시키는데 기여하였음을 보여준다. 이와 같은 분석 결과에 기초하여, 본 논문은 학생들의 개념적 모델의 변환을 촉발한 교수학적 요소에 대한 논의를 통해 학생들의 개념적 모델 변환이 가지는 사회문화적 의미를 조명하고 RME 기반 수학 수업 모델의 학교 현장 적용에 유용한 시사점을 제공하였다.

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