• Title/Summary/Keyword: 해석적 적분

Search Result 629, Processing Time 0.025 seconds

Analytical Solution for Harbour Oscillations (항내응답에 대한 해석해)

  • 서승남
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.8 no.1
    • /
    • pp.72-80
    • /
    • 1996
  • Two analytical solutions for oscillations in a rectangular harbour are presented. In this paper, the correct solution is obtained by use of matched asymptotic expansion method, which was first derived by Mei(1989). The other solution derived from eigenfunction expansion method is also presented, in which more accurate numerical integration is employed. In order to check the solutions, amplification factors inside the harbor are calculated and plotted by both analytical methods and numerical boundary integral equation method.

  • PDF

Vertical Seismic Vibration of Suspension Bridges (지진을 받는 현수교의 수직진동)

  • Choi, Jee-Hoon;Lee, Jon-Ja;Kim, Su-Bo;Lee, Yong-Jae
    • Journal of Korean Society of Steel Construction
    • /
    • v.12 no.5 s.48
    • /
    • pp.581-593
    • /
    • 2000
  • In this study, vertical dynamic analyses on the suspension bridges under seismic load are developed. Time domain analysis, random vibration analysis, and spectral analysis are formulated theoretically. The random nitration analysis is checked by numerical integration and the mathematical integration with correlation coefficient which include CQC and SRSS method in the conditions of white noise and filtered white noise. Beam, truss and frame elements are used in order to model the suspension bridge. Geometric stiffness due to dead load is considered for cable and tower.

  • PDF

An Analytic Solution of a Circular Aperture Antenna with a Feed Transition (급전부에 전이 구조가 있는 원형 개구면 안테나의 엄밀한 해석 방법)

  • Lee Haeng-Seon
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
    • /
    • v.16 no.10 s.101
    • /
    • pp.982-988
    • /
    • 2005
  • An analytic solution of circular aperture antenna with a feed transition is presented using a hybrid method of generalized scattering matrices and integral transform. The method can give an analytic solution to antennas with integrated filters or mode converters, etc. Scattering matrices and integral transform techniques are combined to accommodate discontinuities connected between an aperture and a feed waveguide, and radiated field from the aperture. The method gives radiation fields as well as return losses of the antenna.

Analysis of Two-dimensional Hydrofoil Problems Using Higher Order Panel Method based on B-Splines (B-스플라인 고차패널법에 의한 2차원 수중익 문제 해석)

  • Chung-Ho Cho;Gun-Do Kim;Chang-Sup Lee
    • Journal of the Society of Naval Architects of Korea
    • /
    • v.36 no.4
    • /
    • pp.9-20
    • /
    • 1999
  • A higher order panel method based on B-spline representation for both the geometry and the velocity potential is developed for the solution of the flow around two-dimensional lifting bodies. The self-influence functions due to the normal dipole and the source are separated into the singular and nonsingular parts, and then the former is integrated analytically whereas the latter is integrated using Gaussian quadrature. A null pressure jump Kutta condition at the trailing edge is found to be effective in stabilizing the solution process and in predicting the correct solution. Numerical experiments indicate that the present method is robust and predicts the pressure distribution around lifting foils with much fewer panels than existing low order panel methods.

  • PDF

Implicit Time Integration Scheme for Real-Time Hybrid Test System (실시간 하이브리드 실험 시스템을 위한 Implicit 시간적분법)

  • Jung, Rae-Young
    • Journal of the Earthquake Engineering Society of Korea
    • /
    • v.10 no.5 s.51
    • /
    • pp.99-106
    • /
    • 2006
  • The Real-Time Hybrid Test system presented in this paper is based on the pseudodynamic test method, and it combines physical testing with model-based simulation. The system is designed to achieve a rate of loading that is significantly higher than that of a conventional pseudodynamic test approaching the real-time response of a structure subjected to earthquake loads. To provide robust computation environment for the analysis of many degree-of-freedom structures, the system adopts an implicit time integration scheme in the model-based simulation. This paper presents an overview of the developed system and numerical simulations that were conducted to evaluate the performance of the computation scheme adopted here. Results of these studies have demonstrated the good performance of the computation scheme for real-time multiple-degree-of-freedom tests.

Stress Intensity Factors of Center Cracked Laminated Composites under Uniaxial Tension (단순인장을 받는 복합 적층재 중앙균열의 응력확대계수)

  • 김성호;오재협;옹장우
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.15 no.5
    • /
    • pp.1611-1619
    • /
    • 1991
  • 본 연구에서는 Hilton과 Sih의 경우를 확장 적용하여 Fig. 1(b)와 같이 탄성 층 내부에 존재하는 중앙균열선단의 응력확대계수 산출을 위하여 균열부위를 제외하고 는 섬유층과 레진층이 완전히 접착되었다고 가정한 모델을 다음과 같이 설정하였다. 중앙균열을 내재하고 있는 복합재료의 역학적 거동을 해석하기 위하여, 접착레진을 주 로하는 층(resin rich layer)을 중심으로 하여 상하 각1개의 섬유 (fiber)층과 균질한 특성을 갖는 복합재료의 층으로 단순화 하였으며, 이러한 단순화는 적층재에서의 균열 주위의 국부응력을 해석하기 위한 것으로서 복합재료는 레진층이나 섬유층에 비하여 매우 두꺼우므로 반무한체로 이상화 하였다. 선형탄성 이론에 의하여 혼합 경계조건 문제(mixed boundary value problem)로 부터 제2종 Fredholm적분방정식(fredholm int- egral equation of a second kind)을 유도하였으며 수치해석적인 방법에 의하여 응력 확대계수를 구하였다.

소격격자 재균형법을 이용한 노달 해석함수 전개해의 가속화 기법

  • 조병오;노재만;이창호;지성균
    • Proceedings of the Korean Nuclear Society Conference
    • /
    • 1997.10a
    • /
    • pp.25-31
    • /
    • 1997
  • 현대적 노달방법은 다차원 중성자 확산방정식을 풀기 쉽고 계산시간을 단축시킬 수 있도록 각 방향에 대하여 횡방향으로 적분하여 등가인 차원 수 만큼의 1차원 중성자 확산 방정식을 만들어 풀고 있다 이 과정에서 횡방향 누출 중성자 적분항을 적절히 근사해야함이 필수적인데 이로 인하여 계산의 정확도를 손상하게 될 수가 있다. 이러한 횡방향 누출 중성자 근사를 제거하여 계산의 정확도를 향상시킨 것이 노달 해석함수 전개법(Analytic Function Expansion Nodal Method)이다. 그러나 이 방법은 기존의 노달 방법 보다는 계산시간이 다소 많이 소요되는 단점이 있었다. 본 논문에서는 소격격자 재균형 가속법(Coarse-Mesh Rebalance Acceleration Method)을 노달 해석함수 전개법에 적용하면 계산의 정확도는 그대로 유지되면서도 속도는 크게 향상시킬 수 있음을 보여 준다.

  • PDF

Infinite Elements for Soil-Structure Interaction Analysis (지반-구조물의 상호작용 해석을 위한 무한요소)

  • 양신추;윤정방;이인모
    • Computational Structural Engineering
    • /
    • v.2 no.3
    • /
    • pp.85-95
    • /
    • 1989
  • This paper presents a study of soil-structure interaction problems using infinite elements. The infinite elements are formulated for homogeneous and layered soil media, based on approximate expressions for three components of propagating waves, namely the Rayleigh, compressive and shear waves. The integration scheme which was proposed for problems with single wave component by waves. The integration scheme which was proposed for problems with single wave component by Zenkiewicz is expanded to the multi-waves problem. Verifications are carried out on rigid circular footings which are placed on and embedded in elastic half space. Numerical analysis is performed for a containment structure of a nuclear power plant subjected to a horizontal seismic excitation.

  • PDF

Proper Orthogonal Decomposition Based Intrusive Reduced Order Models to Accelerate Computational Speed of Dynamic Analyses of Structures Using Explicit Time Integration Methods (외연적 시간적분법 활용 동적 구조해석 속도 향상을 위한 적합직교분해 기반 침습적 차수축소모델 적용 연구)

  • Young Kwang Hwang;Myungil Kim
    • Journal of the Computational Structural Engineering Institute of Korea
    • /
    • v.37 no.1
    • /
    • pp.9-16
    • /
    • 2024
  • Using the proper orthogonal decomposition (POD) based intrusive reduced order model (ROM), the total degrees of freedom of the structural system can be significantly reduced and the critical time step satisfying the conditional stability increases in the explicit time integrations. In this study, therefore, the changes in the critical time step in the explicit time integrations are investigated using both the POD-ROM and Voronoi-cell lattice model (VCLM). The snapshot matrix is composed of the data from the structural response under the arbitrary dynamic loads such as seismic excitation, from which the POD-ROM is constructed and the predictive capability is validated. The simulated results show that the significant reduction in the computational time can be achieved using the POD-ROM with sufficiently ensuring the numerical accuracy in the seismic analyses. In addition, the validations show that the POD based intrusive ROM is compatible with the Voronoi-cell lattice based explicit dynamic analyses. In the future study, the research results will be utilized as an elemental technology for the developments of the real-time predictive models or monitoring system involving the high-fidelity simulations of structural dynamics.

Dynamic Boundary Element Analysis of Underground Structures Using Multi-Layered Half-Plane Fundamental Solutions (2차원 다층 반무한해를 이용한 지하구조계의 동적 경계요소 해석)

  • 김문겸;이종우;조성용
    • Journal of the Earthquake Engineering Society of Korea
    • /
    • v.1 no.4
    • /
    • pp.59-68
    • /
    • 1997
  • In analysis of underground structures, the effects of artificial boundary conditions are considered as one of the major reasons for differences from experimental results. These phenomena can be overcome by using the boundary elements which satisfy the multi-layered half space conditions. The fundamental solutions of multi-layered half-space for boundary element method is formulated satisfying the transmission and reflection of waves at each layer interface and radiation conditions at bottom layer. The governing equations can be obtained from the displacements at each layer which are expressed in terms of harmonic functions. All types of waves can be included using the complete response from semi-infinite integrals with respect to horizontal wavenumbers using expansion of Fourier series and Hankel transformation. Two dimensional Green's functions are derived from cylindrical Navier equations and potentials performing infinite integration in y-direction. In this case, it is effective to transform into two dimensional problem using semi-analytical integration and sinusoidal Bessel function. Some verifications are given to show the accuracy and efficiency of the developed method, and numerical examples to demonstrate the dynamic behavior of underground with various properties.

  • PDF