• 제목/요약/키워드: fundamental solution.

검색결과 733건 처리시간 0.024초

Application of the Boundary Element Method to Finite Deflection of Elastic Bending Plates

  • Kim, Chi Kyung
    • International Journal of Safety
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    • 제2권1호
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    • pp.39-44
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    • 2003
  • The present study deals with an approximate integral equation approach to finite deflection of elastic plates with arbitrary plane form. An integral formulation leads to a system of boundary integral equations involving values of deflection, slope, bending moment and transverse shear force along the edge. The basic principles of the development of boundary element technique are reviewed. A computer program for solving for stresses and deflections in a isotropic, homogeneous, linear and elastic bending plate is developed. The fundamental solution of deflection and moment is employed in this program. The deflections and moments are assumed constant within the quadrilateral element. Numerical solutions for sample problems, obtained by the direct boundary element method, are presented and results are compared with known solutions.

CONDITIONAL INTEGRALS ON ABSTRACT WIENER AND HILBERT SPACES WITH APPLICATION TO FEYNMAN INTEGRALS

  • Chung, Dong-Myung;Kang, Soon-Ja;Lim, Kyung-Pil
    • 대한수학회지
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    • 제41권2호
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    • pp.319-344
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    • 2004
  • In this paper, we define conditional integrals on abstract Wiener and Hilbert spaces and then obtain a formula for evaluating the integrals. We use this formula to establish the existence of conditional Feynman integrals for the classes $A^{q}$(B) and $A^{q}$(H) of functions on abstract Wiener and Hilbert spaces and then specialize this result to provide the fundamental solution to the Schrodinger equation with the forced harmonic oscillator.tor.

Plate on non-homogeneous elastic half-space analysed by FEM

  • Wang, Yuanhan;Ni, Jun;Cheung, Y.K.
    • Structural Engineering and Mechanics
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    • 제9권2호
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    • pp.127-139
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    • 2000
  • The isoparametric element method is used for a plate on non-homogenous foundation. The surface displacement due to a point force acting on the non-homogeneous foundation is the fundamental solution. Based on this analysis, the interaction between the foundation and plate can be determined and the reaction of the foundation can be treated as the external force to the plate. Therefore, only the plate needs to be divided into some elements. The method presented in this paper can be used in cases such as thin or thick plate, different plate shapes, various loading, homogenous and non-homogenous foundations. The examples in this paper show that this method is versatile, efficient and highly accurate.

부지효과를 고려한 2차원 평면상의 지진응답해석 (Seismic Response Analysis Considering the Site Effect in Two Dimensional Cases)

  • 김민규;임윤묵;김문겸
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2001년도 추계 학술발표회 논문집 Proceedings of EESK Conference-Fall 2001
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    • pp.83-90
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    • 2001
  • The site effects of local geological conditions on seismic ground motion are performed using 2D numerical method. For the analysis, a numerical method far ground response analysis using FE-BE coupling method is developed. The total system is divided into two parts so called far field and near field. The far field is modeled by boundary element formulation using the multi-layered dynamic fundamental solution that satisfied radiational condition of wave. And this is coupled with near field modeled by finite elements. In order to verify the seismic response analysis, the results are compared with those of commercial code. As a result, it is shown that the developed method can be an efficient numerical method to solve the seismic response analysis of the site effect in 2D problem.

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다층반무한 기본해를 이용한 자유장응답해석 (Free Field Response Analysis Using Dynamic Fundamental Solution)

  • 김문겸;임윤묵;김민규;이종우
    • 한국지진공학회논문집
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    • 제5권2호
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    • pp.83-91
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    • 2001
  • 본 연구에서는 2차원 평면상에서 자유장응답 해석을 위하여 유한요소-경계요소 조합에 의한 수치해석기법을 개발하였다. 전체 계를 외부영역과 내부영역으로 구분하였다. 외부영역은 동적 다층반무한 기본해를 이용한 경계요소로 모형화되고 내부영역은 유한요소로 모형화하여 조합하였다. 다층지반의 외부에서 입사하는 지진에 의한 지진응답해석을 수행하기 위하여 동적기본해를 이용한 자유장응답해석을 수행하였다. 지진응답해석에서는 지반의 전단병형률에 따라 변화하는 비선형특성을 모형화하기 위해 등가선형화기법을 적용하였다. 지진응답해석의 검증에 의하여 해석결과를 상용프로그램의 결과와 비교하였다. 결과적으로 지진응답해석을 효과적으로 수행할 수 있는 수치해석기법을 개발하였고 구조물이 있는 경우로의 확장돠 가능하게 되었다.

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경화 콘크리트의 단위 시멘트량 추정 방법에 관한 기초적 연구 (A Fundamental Study on the Estimation of Unit Cement Content in Hardened Concrete (Test Method by Sodium Gluconate))

  • 김광서;유영호;박도경
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1996년도 봄 학술발표회 논문집
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    • pp.24-29
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    • 1996
  • The purpose of this study is to propose new estimation method of unit cement content in hardened concrete. In general, the quantity of cement in hardened concrete is tested by hydrochlonic acid dissolving cement paste, however, hydrochloric acid dissolves sea shell contained in sea sand and lime stone in concrete. Therefore, the tested cement content is apt to estimate greater than actual cement content. The sodium gluconate solution dissolves only cement in concrete, it is hard to dissolve sea shell and lime stone as CaCo3. The effects of the quantity, concentration and temperature of sodium gluconate solution, the ignition temperature, the ignition loss of cement on the cement content and the percentage of dissolution of cement were investigated to establish a test method. From the results of these tests, the fundamental test method for cement content of hardened concrete by sodium gluconate is proposed.

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Design of multi-span steel box girder using lion pride optimization algorithm

  • Kaveh, A.;Mahjoubi, S.
    • Smart Structures and Systems
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    • 제20권5호
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    • pp.607-618
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    • 2017
  • In this research, a newly developed nature-inspired optimization method, the Lion Pride Optimization algorithm (LPOA), is utilized for optimal design of composite steel box girder bridges. A composite box girder bridge is one of the common types of bridges used for medium spans due to their economic, aesthetic, and structural benefits. The aim of the present optimization procedure is to provide a feasible set of design variables in order to minimize the weight of the steel trapezoidal box girders. The solution space is delimited by different types of design constraints specified by the American Association of State Highway and Transportation Officials. Additionally, the optimal solution obtained by LPOA is compared to the results of other well-established meta-heuristic algorithms, namely Gray Wolf Optimization (GWO), Ant Lion Optimizer (ALO) and the results of former researches. By this comparison the capability of the LPOA in optimal design of composite steel box girder bridges is demonstrated.

현대건축의 수공간 디자인에서의 심리 치유적 특성에 관한 연구 (A Study on the Characteristics of Psychological Healing in the Waterscape Design of Contemporary Architecture)

  • 서지원;김광호
    • 의료ㆍ복지 건축 : 한국의료복지건축학회 논문집
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    • 제15권2호
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    • pp.31-38
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    • 2009
  • The purpose of this study is to research the fundamental cause of psychological stress and healing elements related to the waterscape design of contemporary architecture. As one of the solution, analysis of the psychological function of waterscape of natural elements in composition of architectural space was included. This study is focused on the form and psychological function of waterscape, and concerned with the cause of psychological stress at the same time. Also, this study includes analyzed cased with both inside and outside of contemporary architecture. The result will show that the waterscape will be useful solution for healing of fundamental cause of psychological stress with sixteen psychological healing elements through compositional elements of waterscape.

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FUNDAMENTAL MATRICES OF THE VARIATIONAL SYSTEMS FOR THE NONLINEAR SYSTEMS WITH A SMALL PARAMETER

  • Koo, Nam Jip;Ryu, Hyun Sook
    • 충청수학회지
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    • 제9권1호
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    • pp.175-181
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    • 1996
  • We show that $\frac{{\partial}x}{{\partial}{\gamma}}(t,{\tau},{\gamma},{\lambda},{\varepsilon})$ is a fundamental matrix of the variational system $\dot{y}=fx(t,x(t,{\tau},{\gamma},{\lambda},{\varepsilon}),{\lambda},{\varepsilon})y$ corresponding to the solution $x(t,{\tau},{\gamma},{\lambda},{\varepsilon})$ of $\dot{x}=f(t,x,{\lambda},{\varepsilon})$.

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BOUNDEDNESS OF DISCRETE VOLTERRA SYSTEMS

  • Choi, Sung-Kyu;Goo, Yoon-Hoe;Koo, Nam-Jip
    • 대한수학회보
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    • 제44권4호
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    • pp.663-675
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    • 2007
  • We investigate the representation of the solution of discrete linear Volterra difference systems by means of the resolvent matrix and fundamental matrix, respectively, and then study the boundedness of the solutions of discrete Volterra systems by improving the assumptions and the proofs of Medina#s results in [6].