• 제목/요약/키워드: Mathematical Modelling

검색결과 324건 처리시간 0.028초

정현파 역기전력 특성을 갖는 브러시리스 동기전동기의 모델링 및 특성해석 (The Modelling and Characteristic Analysis of Brushless Synchronous Motor with Sinusoidal back EMF)

  • 김일남;백수현;김철진;맹인재;윤신용
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
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    • 제49권6호
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    • pp.380-386
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    • 2000
  • This paper presents the mathematical modelling analysis of Brushless Synchronous Motor(BLSM). The dynamic and the steady state characteristics of BLSM are simulated and analyzed : electromagnetic torque, speed, line voltage, and current. We used mathematical modelling to model of BLSM with sinusoidal back EMF, namely the shaft transformation referencing rotor frame from a, b, c three to produce constant torque like synchronous motor. The experiment result has already similar to compare with simulation result : torque error about 7%, speed error about 5%. The validity of proposed modelling and analysis was confirmed by the experimental result.

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Energy equivalent lumped damage model for reinforced concrete structures

  • Neto, Renerio Pereira;Teles, Daniel V.C.;Vieira, Camila S.;Amorim, David L.N.F.
    • Structural Engineering and Mechanics
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    • 제84권2호
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    • pp.285-293
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    • 2022
  • Lumped damage mechanics (LDM) is a recent nonlinear theory with several applications to civil engineering structures, such as reinforced concrete and steel buildings. LDM apply key concepts of classic fracture and damage mechanics on plastic hinges. Therefore, the lumped damage models are quite successful in reproduce actual structural behaviour using concepts well-known by engineers in practice, such as ultimate moment and first cracking moment of reinforced concrete elements. So far, lumped damage models are based in the strain energy equivalence hypothesis, which is one of the fictitious states where the intact material behaviour depends on a damage variable. However, there are other possibilities, such as the energy equivalence hypothesis. Such possibilities should be explored, in order to pursue unique advantages as well as extend the LDM framework. Therewith, a lumped damage model based on the energy equivalence hypothesis is proposed in this paper. The proposed model was idealised for reinforced concrete structures, where a damage variable accounts for concrete cracking and the plastic rotation represents reinforcement yielding. The obtained results show that the proposed model is quite accurate compared to experimental responses.

수학적 모델링의 과제공간에서 과제복잡성의 평가척도(rating scheme)설정 - 예비수학교사를 대상으로 (A Study on Setting of Mathematical modelling Task Space and Rating Scheme in its Complexity)

  • 신현성;최희선
    • 한국학교수학회논문집
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    • 제19권4호
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    • pp.357-371
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    • 2016
  • 본 연구는 수학적 모델링의 과제공간을 설정하고 이를 기반으로 모델링 과제의 복잡성을 나타내는 평가척도(rating scheme)를 설계하여 예비 수학교사를 대상으로 두 가지의 실험연구 결과를 얻었다. 첫째는 종전의 문제구조를 표현한 문제공간을 발전시켜 모델링 과제에 맞는 과제공간을 설정하고, 모델링 과제의 복잡성을 수치로 나타내는 계량적인 평가척도를 설계하여 의미 있는 타당도를 확인하였다. 둘째는 모델링의 과제 복잡성에 대한 평가척도, 학생 성취수준, 과제 특수 발견 전략의 개수 사이의 일관된 패턴이 있음을 발견하였다.

메틸삼염화규소로부터 탄화규소 침착의 Pulse-CVI에 대한 수치모사 연구 (Studies on the Mathematical Modelling of the Pulse-CVI for the Infiltration of Siliconcarbide from Methyltrichlorosilane)

  • 김인구;김민기;정귀영
    • Composites Research
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    • 제18권5호
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    • pp.27-33
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    • 2005
  • 본 연구에서는 펄스-CVI (Chemical Vapor Infiltration)에 의해 탄화규소/탄소 복합재료를 제조하는 공정에 대한 수치모사가 행해졌다. 각 펄스가 가스 주입시간, 반응시간, 배출시간으로 구성될 때, 반응시간과 배출시간의 영향이 관찰되었다. 또한 반응가스 농도와 압력의 영향이 연구되었다. 탄소프리폼에의 탄화규소의 균일한 침착과 반응시간 단축을 위한 펄스-CVI공정의 이점이 확인되었다.

중등학교에서 수학적 모델링을 위한 모델링 문항 구성에 관한 연구 (A Study of Modelling Task for Mathematical Modelling in the Secondary Schools)

  • 오춘영
    • East Asian mathematical journal
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    • 제36권2호
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    • pp.147-172
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    • 2020
  • The purpose of this study is to provide to understand correctly for teachers and pre-service teachers who have the wrong conception of mathematical modeling. We present the differences modeling problems and general application problems to identify between general application and modeling problems. We propose the entire process from modeling tasks development to solve the problems of mathematical modeling. Additionally, the entire process of the possible solutions was concluded for the presented modeling problems. We proposed what students and teachers should perform at each stage of each phase of the modeling cycle. The concrete tasks were suggested for teachers and students at each phase of modeling cycles, with the specific role of the teacher in the overall process for students' modeling activities.

RINGS IN WHICH EVERY IDEAL CONTAINED IN THE SET OF ZERO-DIVISORS IS A D-IDEAL

  • Anebri, Adam;Mahdou, Najib;Mimouni, Abdeslam
    • 대한수학회논문집
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    • 제37권1호
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    • pp.45-56
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    • 2022
  • In this paper, we introduce and study the class of rings in which every ideal consisting entirely of zero divisors is a d-ideal, considered as a generalization of strongly duo rings. Some results including the characterization of AA-rings are given in the first section. Further, we examine the stability of these rings in localization and study the possible transfer to direct product and trivial ring extension. In addition, we define the class of dE-ideals which allows us to characterize von Neumann regular rings.

ERRATUM TO "RINGS IN WHICH EVERY IDEAL CONTAINED IN THE SET OF ZERO-DIVISORS IS A D-IDEAL", COMMUN. KOREAN MATH. SOC. 37 (2022), NO. 1, PP. 45-56

  • Adam Anebri;Najib Mahdou;Abdeslam Mimouni
    • 대한수학회논문집
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    • 제38권1호
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    • pp.121-122
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    • 2023
  • In this erratum, we correct a mistake in the proof of Proposition 2.7. In fact the equivalence (3) ⇐ (4) "R is a quasi-regular ring if and only if R is a reduced ring and every principal ideal contained in Z(R) is a 0-ideal" does not hold as we only have Rx ⊆ O(S).

S-COHERENT PROPERTY IN TRIVIAL EXTENSION AND IN AMALGAMATED DUPLICATION

  • Mohamed Chhiti;Salah Eddine Mahdou
    • 대한수학회논문집
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    • 제38권3호
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    • pp.705-714
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    • 2023
  • Bennis and El Hajoui have defined a (commutative unital) ring R to be S-coherent if each finitely generated ideal of R is a S-finitely presented R-module. Any coherent ring is an S-coherent ring. Several examples of S-coherent rings that are not coherent rings are obtained as byproducts of our study of the transfer of the S-coherent property to trivial ring extensions and amalgamated duplications.

WHEN EVERY FINITELY GENERATED REGULAR IDEAL IS FINITELY PRESENTED

  • Mohamed Chhiti;Salah Eddine Mahdou
    • 대한수학회논문집
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    • 제39권2호
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    • pp.363-372
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    • 2024
  • In this paper, we introduce a weak version of coherent that we call regular coherent property. A ring is called regular coherent, if every finitely generated regular ideal is finitely presented. We investigate the stability of this property under localization and homomorphic image, and its transfer to various contexts of constructions such as trivial ring extensions, pullbacks and amalgamated. Our results generate examples which enrich the current literature with new and original families of rings that satisfy this property.