• 제목/요약/키워드: continuity theory

검색결과 247건 처리시간 0.029초

IDENTIFICATION OF SINGLE VARIABLE CONTINUITY LINEAR SYSTEM WITH STABILITY CONSTRAINTS FROM SAMPLES OF INPUT-OUTPUT DATA

  • Huang, Zhao-Qing;Ao, Jian-Feng
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1991년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 22-24 Oct. 1991
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    • pp.1883-1887
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    • 1991
  • Identification theory for linear discrete system has been presented by a great many reference, but research works for identification of continuous-time system are less than preceding identification. In fact, a great man), systems for engineering are continuous-time systems, hence, research for identification of continuous-time system has important meaning. This paper offers the following results: 1. Corresponding relations for the parameters of continuous-time model and discrete model may be shown, when single input-output system has general characteristic roots. 2. To do identification of single variable continuity linear system with stability constraints from samples of input-output data, it is necessary to use optimization with stability constraints. 3. Main results of this paper may be explained by a simple example.

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MULTI-DEGREE REDUCTION OF BÉZIER CURVES WITH CONSTRAINTS OF ENDPOINTS USING LAGRANGE MULTIPLIERS

  • Sunwoo, Hasik
    • 충청수학회지
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    • 제29권2호
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    • pp.267-281
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    • 2016
  • In this paper, we consider multi-degree reduction of $B{\acute{e}}zier$ curves with continuity of any (r, s) order with respect to $L_2$ norm. With help of matrix theory about generalized inverses we can use Lagrange multipliers to obtain the degree reduction matrix in a very simple form as well as the degree reduced control points. Also error analysis comparing with the least squares degree reduction without constraints is given. The advantage of our method is that the relationship between the optimal multi-degree reductions with and without constraints of continuity can be derived explicitly.

오행기질(五行氣質)의 불균형적(不均衡的) 구조(構造)에 근거(根據)한 체질론(體質論)의 수리학적(數理學的) 분석(分析) (Mathematical Analysis of Constitutional Theory Based on Imbalanced Structure of Five Energy Elements)

  • 허경구;박광석
    • 대한한의학회지
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    • 제33권3호
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    • pp.105-119
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    • 2012
  • Background: In contrast to the increased interest in constitutional medicine evidenced by clinical experiences, there has been no theoretical or mathematical analysis on the stability or number of constitutional types. Objectives: The purpose of the study was to evaluate the stability of possible constitutional types and to find stable constitutional types based on imbalanced structure of five energy elements using mathematical analysis. Methods: For the 120 constitutional types which are possible by the imbalanced combination of five energy elements, vitality, stability and continuity were evaluated mathematically based on mutual activation and suppression between the five energy elements. Results: 10 constitutional types were derived. They had the highest vitality and stability, and they had permanent continuity, never changing their order of imbalanced structure. Conclusions: 10 constitutional types are logical and most reasonable when we classify the body types based on imbalanced structure of five energy elements.

NEW KINDS OF CONTINUITY IN FUZZY NORMED SPACES

  • Hazarika, Bipan;Mohiuddine, S.A.
    • 호남수학학술지
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    • 제43권3호
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    • pp.547-559
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    • 2021
  • We first define the notions of filter continuous, filter sequentially continuous and filter strongly continuous in the framework of fuzzy normed space (FNS), and then we introduce the notion of filter slowly oscillating sequences in the setting of FNS and shows that this notion is stronger than slowly oscillating sequences. Further, we define the concept of filter slowly oscillating continuous functions, filter Cesàro slowly oscillating sequences as well as some other related notions in the aforementioned space and investigate several related results.

다층간분리된 적층판의 자유진동해석 (Free Vibration Analysis of Multi-delaminated Composite Plates)

  • Taehyo Park;Seokoh Ma;Yunju Byun
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2004년도 봄 학술발표회 논문집
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    • pp.25-32
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    • 2004
  • In this proposed work new finite element model for multi-delaminated plates is proposed. In the current analysis procedures of multi-delaminated plates, plate element based on Mindlin plate theory is used in order to obtain accurate results of out-of-plane displacement of thick plate. And for delaminated region, plate element based on Kirchhoff plate theory is considered. To satisfy the displacement continuity conditions, displacement vector based on Kirchhoff theory is transformed to displacement of transition element. The numerical results show that the effect of delaminations on the modal parameters of delaminated composites plates is dependent not only on the size, the location and the number of the delaminations but also on the mode number and boundary conditions. Kirchhoff based model have higher natural frequency than Mindlin based model and natural frequency of the presented model is closed to Mindlin based model.

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경험학습이론의 의학교육에의 적용 (Application of Experiential Learning Theory to Medical Education)

  • 채수진
    • 의학교육논단
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    • 제22권2호
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    • pp.93-98
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    • 2020
  • This paper examined the principles of experiential learning theory (ELT) relevant to learning from experience and introduces examples which were applied to medical education from a theoretical perspective. The experiential learning theory encompasses the theories of Dewey, Kolb, and Schon, whose key ideas highlight the continuity of experience, interaction of experience, and reflection. According to ELT, growth is education, and education is a reconstruction of experience. Experiential learning is a way of thinking about the educational process by constructing meaningful learning through reflection-in-action. This paper examines the learning principles of ELT and presents practical examples of the application of ELT and its implications for medical education. An in-depth understanding and application of ELT could benefit the field of medical education.

다중 층간분리부가 내재된 복합재 평판의 유한요소 진동해석 (Dynamic analysis for delaminated composites based on finite element)

  • 오진호;조맹효;김준식
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2003년도 춘계학술발표대회 논문집
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    • pp.143-146
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    • 2003
  • A finite element based on the efficient higher order zig-zag theory with multiple delaminations Is developed to refine the predictions of frequency and mode shapes. Displacement field through the thickness are constructed by superimposing linear zig-zag field to the smooth globally cubic varying field. The layer-dependent degrees of freedom of displacement fields are expressed in terms of reference primary degrees of freedom by applying interface continuity conditions including delaminated interfaces as well as free hounding surface conditions of transverse shear stresses. Thus the proposed theory is not only accurate but also efficient. This displacement field can systematically handle the number, shape, size, and locations of delaminations. Throught the dynamic version of variational approach, the dynamic equilibrium equations and variationally consistent boundary conditions are obtained. Through the natural frequency analysis and time response analysis of composite plate with multiple delaminations, the accuracy and efficiency of the present finite element are demonstrated. The present finite element is suitable in the predictions of the dynamic response of the thick composite plate with multiple delaminations.

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탄성지반으로 지지된 보강판의 안정해석 (Stability Analysis of Stiffened Plates on Elastic Foundations)

  • 이병구;이용수;오숙경;이태은
    • 한국소음진동공학회논문집
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    • 제13권12호
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    • pp.947-955
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    • 2003
  • This research analyzes the dynamic stability of stiffened plates on elastic foundations using the finite element method. For analyzing the stiffened plates, both the Mindlin plate theory and Timoshenko beam-column theory were applied. In application of the finite element method, 8-nodes serendipity element system and 3-nodes finite element system were used for plate and beam elements, respectively Elastic foundations were modeled as the Pasternak foundations in which the continuity effect of foundation is considered. In order to verify the theory of this study, solutions obtained by this analysis were compared with the classical solutions in open literature and experimental solutions. The dynamic stability legions of stiffened plates on Pasternak foundations were determined according to changes of in-plane stresses, foundation parameters and dimensions of stiffener.

다층 층간분리된 적층 판의 유한요소 자유진동해석 (Finite Element Analysis for Free Vibration of Laminated Plates Containing Multi-Delamination)

  • Taehyo Park;Seokoh Ma
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2003년도 가을 학술발표회 논문집
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    • pp.37-44
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    • 2003
  • In this proposed work, computational, finite element model far multi-delaminated plates will be developed. In the current analysis procedures of multi-delaminated plates, different elements are used at delaminated and undelaminated region separately. In the undelaminated region, plate element based on Mindlin plate theory is used in order to obtain accurate results of out-of-plane displacement of thick plate. And for delaminated region, plate element based on Kirchhoff plate theory is considered. To satisfy the displacement continuity conditions, displacement vector based on Kirchhoff theory is transformed to displacement of transition element. Element mass and stiffness matrices of each region (delaminated, undelaminated and transition region) will be assembled for global matrix.

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적분형 르장드르 형상함수를 이용한 단일 수준 적응적 hp-체눈 세분화 (Single Level Adaptive hp-Refinement using Integrals of Legendre Shape Function)

  • 조준형;유효진;우광성
    • 한국전산구조공학회논문집
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    • 제23권3호
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    • pp.331-340
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    • 2010
  • 적응적 hp-세분화 기법과 그 기법의 효과적인 구성방법을 포함한 새로운 적응적 유한요소 알고리즘의 기초이론 및 적용이 이 연구를 통해 제시되었다. 적응적 hp-세분화 기초의 유한요소기법은 적분형 르장드르 형상함수와 요소별로 불균등한차수의 분배 및 비정형적인 절점연결과 관련된 연속조건을 만족시킬 수 있는 제약조건을 필요로 한다. 따라서 요소간의 접합부분에서 적응적 hp-유한요소망의 연속성이 중요한 문제로 대두된다. 이러한 문제를 요소경계에 연속성 제약조건을 절점연결 사상행렬을 적용하여 해결하였다. 또한, 적분형 르장드르 형상함수의 계층성질을 이용하여 제시된 알고리즘의 효율적 정식화 방안을 제시하였다. 간단한 캔틸레버문제가 h-세분화, p-세분화 그리고 hp-세분화 방법에 의해 계산되었다. hp-세분화의 결과는 다른 방식의 세분화에 비해 보다 빠른 수렴성을 보여 주는 것이 확인되었다. 그러므로 제시된 hp-세분화 알고리즘은 실제문제에 효율적으로 적용될 수 있을 것으로 생각된다.