• 제목/요약/키워드: S-iteration process

검색결과 108건 처리시간 0.026초

STABILITY IN THE α-NORM FOR SOME STOCHASTIC PARTIAL FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS

  • Diop, Mamadou Abdoul;Ezzinbi, Khalil;Lo, Modou
    • 대한수학회지
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    • 제56권1호
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    • pp.149-167
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    • 2019
  • In this work, we study the existence, uniqueness and stability in the ${\alpha}$-norm of solutions for some stochastic partial functional integrodifferential equations. We suppose that the linear part has an analytic resolvent operator in the sense given in Grimmer [8] and the nonlinear part satisfies a $H{\ddot{o}}lder$ type condition with respect to the ${\alpha}$-norm associated to the linear part. Firstly, we study the existence of the mild solutions. Secondly, we study the exponential stability in pth moment (p > 2). Our results are illustrated by an example. This work extends many previous results on stochastic partial functional differential equations.

서비스디자인과 제품서비스 시스템의 비교연구 (Difference between Service Design and Product Service Systems)

  • 시에쉬안나;이성필
    • 서비스연구
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    • 제12권2호
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    • pp.94-105
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    • 2022
  • 본 연구는 탈산업화 사회의 관점에서 서비스 디자인 및 제품 서비스 시스템(PSS)의 차이점에 대한 이론적 개념을 명확히하고 새롭게 통합된 디자인 전략을 제안하는 것이 주요 목적이다. 서비스 디자인은 기존 서비스를 개선하거나 혁신하고 지속적인 탐색과 반복 과정에서 생가는 문제를 해결하는 사용자 중심 디자인 접근 방식이다. 그러나 PSS는 기업을 위한 혁신적인 비즈니스 전략으로서 고객에게 제품과 서비스의 통합 기능을 제공하고 시스템 프로세스를 최적화함으로써 기업의 경쟁력을 높이는 것이 주요 목적이다. 본 연구는 문헌조사 방법을 통해 서비스 디자인과 PSS의 개념과 연구 현황, 디자인 방법을 정리하였다. 그리고 디자인 진행 과정에서 서비스 디자인과 PSS의 차이점을 비교하여 정리하였다. 본 연구에서 제안하는 최종 내용은 서비스 디자인 개념을 효과적으로 구현하기 위해 사용자 경험을 PSS의 설계 프로세스에 통합하여 시스템화한 프로세스를 사용자의 요구에 맞게 제안하였다.

가속수명시험을 위한 KTX고속열차 구조물의 S-N 선도 추정 (S-N Curve Deduction of a KTX High-Speed Train Structure for an Accelerated Life Testing)

  • 정달우;최낙삼;박수한
    • 대한기계학회논문집A
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    • 제33권4호
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    • pp.388-395
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    • 2009
  • An accelerated fatigue test is essentially required to maintain the reliability of the actual structures of KTX under operation conditions. However, actual fatigue life cannot be obtained because the conventional fatigue tests are not adequate to the real load conditions. Moreover foreign component makers have not provided data of the loading stresses (S) versus cycles at the failure (N). In this study, we suggested a deduction method of the S-N curve for establishing an accelerating test under various load levels. Load history was acquired from the field tests. A Rainflow method was used on the cycle counting of the field load data. After that, an S-N curve was obtained through the iteration process under the condition that the damage index satisfies to 1 in the Miner's rule. The deduced S-N curve was applied to the performance evaluation of Korean-made sealed knuckles compared with imports.

볼 엔드밀 가공에서의 공구 처짐 예측과 정밀 가공에 관한 연구 (A Study on the Prediction of Tool Deflection and Precision Machining in Ball End Milling Process)

  • 조현덕;양민양
    • 대한기계학회논문집
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    • 제16권9호
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    • pp.1669-1680
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    • 1992
  • 본 연구에서는 볼 엔드밀 가공에서 공구계의 처짐을 고려한 절삭력과 처짐을 예측하고, 처짐의 예측으로 가공 정밀도를 향상시키는 이송 속도와 헬릭스 각의 선정 에 대해서 고찰한다.

변형된 쉘요소를 이용한 판 및 쉘 구조의 후좌굴 및 탄.소성 유한요소해석 (Post-buckling and Elasto-plastic Analysis of Shell Structures using the Degenerated Shell Element)

  • 김문영;민병철
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1995년도 봄 학술발표회 논문집
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    • pp.17-27
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    • 1995
  • For the post-buckling and elasto-plastic analysis of shell structures, the total Lagrangian formulation is presented based upon the degenerated shell element. Geometrically correct formulation is developed by updating the direction of normal vectors in the iteration process and evaluating the total Green-Lagrange stain corresponding U total displacements. In the calculation of the stiffness matrix, the element formulation takes into account the effect of finite rotation increments by retaining second order rotation terms in the incremental displacement field. The selective or reduced integration scheme using the heterosis element is applied in order to overcome both shear locking phenomena and the zero energy mode. The load/displacement incremental scheme is adopted for geometric non-linear F .E. analysis. Based on such methodology, the computer program is developed and numerical examples to demonstrate the accuracy and the effectiveness of the proposed shell element are presented and compared with references's results.

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멀티모달 함수의 최적화를 위한 먼델 연산 유전자 알고리즘 (A Genetic Algorithm with a Mendel Operator for Multimodal Function Optimization)

  • 송인수;심재완;탁민제
    • 제어로봇시스템학회논문지
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    • 제6권12호
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    • pp.1061-1069
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    • 2000
  • In this paper, a new genetic algorithm is proposed for solving multimodal function optimization problems that are not easily solved by conventional genetic algorithm(GA)s. This algorithm finds one of local optima first and another optima at the next iteration. By repeating this process, we can locate all the local solutions instead of one local solution as in conventional GAs. To avoid converging to the same optimum again, we devise a new genetic operator, called a Mendel operator which simulates the Mendels genetic law. The proposed algorithm remembers the optima obtained so far, compels individuals to move away from them, and finds a new optimum.

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Mechanical features of cable-supported ribbed beam composite slab structure

  • Qiao, W.T.;Wang, D.;Zhao, M.S.
    • Steel and Composite Structures
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    • 제25권5호
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    • pp.523-534
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    • 2017
  • Cable-supported ribbed beam composite slab structure (CBS) is proposed in this study. As a new cable-supported structure, it has many merits such as long span availability and cost-saving. Inspired by the previous research on cable-supported structures, the fabrication and construction process are developed. Pre-stress design method based on static equilibrium analysis is presented. In the algorithm, the iteration convergence can be accelerated and the calculation result can be kept in an acceptable precision by setting a rational threshold value. The accuracy of this method is also verified by experimental study on a 1:5 scaled model. Further, important parameters affecting the mechanical features of the CBS are discussed. The results indicate that the increases of sag-span ratio, depth of the ribbed beam and cable diameter can improve the mechanical behavior of the CBS by some extent, but the influence of strut sections on mechanical behavior of the CBS is negligible.

A MESH INDEPENDENCE PRINCIPLE FOR PERTURBED NEWTON-LIKE METHODS AND THEIR DISCRETIZATIONS

  • Argyros, Ioannis K.
    • Journal of applied mathematics & informatics
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    • 제7권1호
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    • pp.139-159
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    • 2000
  • In this manuscript we study perturbed Newton-like methods for the solution of nonlinear operator equations in a Banach space and their discretized versions in connection with the mesh independence principle. This principle asserts that the behavior of the discretized process is asymptotically the same as that for the original iteration and consequently, the number of steps required by the two processes to converge to within a given tolerance is essentially the same. So far this result has been proved by others using Newton's method for certain classes of boundary value problems and even more generally by considering a Lipschitz uniform discretization. In some of our earlierpapers we extend these results to include Newton-like methods under more general conditions. However, all previous results assume that the iterates can be computed exactly. This is mot true in general. That in why we use perturbed Newton-like methods and even more general conditions. Our results, on the one hand, extend, and on the other hand, make more practical and applicable all previous results.

래티스돔의 안정문제에 관한 연구 (A Study on the Stability Problems of the Latticed Domes)

  • 한상을
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1996년도 봄 학술발표회 논문집
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    • pp.9-18
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    • 1996
  • The primary objective of this paper is to grasp many characteristics of buckling behavior of latticed spherical domes under various conditions. The Arc-Length Method proposed by E.Riks is used for the computation and evaluation of geometrically nonlinear fundamental equilibrium paths and bifurcation points. And the direction of the path after the bifurcation point is decided by means of Hosono's concept. Three different nonlinear stiffness matrices of the Slope-Deflection Method are derived for the system with rigid nodes and results of the numerical analysis are examined in regard in geometrical parameters such as slenderness ratio, half-open angle, boundary conditions, and various loading types. But in case of analytical model 2 (rigid node), the post-buckling path could not be surveyed because of Newton-Raphson iteration process being diversed on the critical point since many eigenvalues become zero simultaneously.

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광학설계의 최적화과정에서 Lagrange 부정승수를 이용한 능동적 제어 (Active Control of Optimization Process in Lens Design by Using Lagrange's Undetermined Multipliers)

  • 조용주;이종웅
    • 한국광학회:학술대회논문집
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    • 한국광학회 2000년도 하계학술발표회
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    • pp.40-41
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    • 2000
  • 광학설계의 최적화에서는 최소자승법과 감쇠최소자승법이 주로 사용되고 있다. 최소자승법은 error의 제곱의 합을 최소화하는 방법으로, 이 방법은 최적점 부근에서의 불안정성이 발생하는 문제점이 있다. 감쇠최소자자승법은 최소자승법에 적절한 감쇠항을 부가함으로써 최적점 부근에서의 불안정성을 줄여주고 있다. 본 연구에서는 광학설계의 제한조건을 Lagrange 부정승수$^{(1)}$ 를 사용하여 감쇠최소자승법의 정규방정식에 결합하여 제한조건을 유지하면서 merit function을 줄이는 방법에 대하여 연구하였다. 이 방법에서는 제한조건이 merit function의 error 함수보다 우선적으로 보정되며, 이를 이용하여 매 iteration 마다 merit function에서 절대값이 큰 error를 감쇠최소자승법의 정규방정식에서 제거하고 이 보정조건을 제한조건에 추가함으로서 다른 error항 보다 우선적으로 보정되도록 하였다. 이 때 이 error를 한번에 보정하는 경우에는 merit function의 진동이 심하고 광학계가 사용불가능한 형태로 변화하는 경우가 많아 적절한 target ratio를 설정하여 반복과정을 통하여 점진적으로 보정되도록 하였으며, 이를 통하여 최적화의 안정성을 개선할 수 있었다. (중략)

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