• Title/Summary/Keyword: Integration method

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Treatment of Numerical Integration for Boundary Element Method (경계요소법에 있어서 수치적분에 관한 고찰)

  • Park, Sung-Oan;Kwak, Chang-Sup;Koo, Young-Duk
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.2
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    • pp.185-193
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    • 1996
  • Errors included in solutions obtained by the boundary element method are generally larger than those by the finite element method in the case that the number of discreted elements is small. One of the reasons is supposed to be attributed to the error which will be produced in the numerical integration of the singular functions in two dimensional elastic problem. Then, treatment of analytical integration to reduce computing time and to decrease errors of boundary element method are proposed.

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Stability and accuracy for the trapezoidal rule of the Newmark time integration method with variable time step sizes (가변시간간격을 갖는 Newmark 시간적분법의 사다리꼴법칙에 대한 안정성과 정확도)

  • Noh, Yong-Su;Chung, Jin-Tae;Bae, Dae-Seong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.10
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    • pp.1712-1717
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    • 1997
  • Stability and accuracy for the trapezoidal rule of the Newmark time integration method are analyzed when variable time step sizes are adopted. A new analytic approach to stability and accuracy analysis is also proposed for time integration methods with variable time step sizes. The trapezoidal rule with variable time step sizes has the "actual" unconditional stability which is the same as that of the method with constant time step sizes. However, the method with variable time step sizes is first-order accurate while the method with constant time step sizes is second-order accurate. accurate.

Implementation of Battery 'State of Charge' Estimation algorithm (배터리 'State of Charge' 예측 알고리즘 구현)

  • Kim, Yong-Ho;Kim, Dae-Hwan
    • Journal of The Institute of Information and Telecommunication Facilities Engineering
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    • v.10 no.1
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    • pp.27-32
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    • 2011
  • These days more electric devices are implemented in car, and more accurate estimation of SoC is required. OCV with current integration and Internal Resistance is essential method of Battery SoC Estimation. In this paper we propose OCV with current integration method and compare with Internal Resistance method. In OCV with current integration method estimation error was less than average 2%, but requires more than 5 minutes to stabilize OCV. If Stop and Running conditions are change frequently, estimation error will increase. In Internal resistance Modeling method, in high SoC state, estimation error was more than 15%, and in low SoC state, estimation error was less than 8%.

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Reconstruction of Density Distribution for Unsteady and Asymmetric Flow Using Three-dimensional Digital Speckle Tomography (3차원 디지털 스펙클 토모그래피를 이용한 비정상 비대칭 유동의 밀도 분포 재건)

  • Kim, Yong-Jae;Ko, Han-Seo;Baek, Seung-Hwan
    • 한국가시화정보학회:학술대회논문집
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    • 2006.12a
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    • pp.21-24
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    • 2006
  • Transient and asymmetric density distributions have been investigated by a digital speckle tomography with a novel integration method. Multiple CCD images captured movements of speckles in three angles of view simultaneously because the flows were asymmetric and unsteady. The speckle movements which have been formed by a ground glass between no flow and downward butane flow from an elliptical nozzle have been calculated by a cross-correlation tracking method so that those distances can be transferred to deflection angles of laser rays for density gradients. A novel integration method has been developed to obtain projection data from the deflection angles for the speckle tomography. The unsteady density fields have been reconstructed from the accurate projection values by the digital speckle tomography method using the developed integration method.

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Numerical Integration of Non-linear Equation of Motion using Operation of Integration (적분행렬을 이용한 비선형 운동방정식 수치적분)

  • Lee, Donghun;Kwon, Jae-Wook;Choi, Sujin;Rew, Dong-Young;Ju, Gwanghyeok
    • Aerospace Engineering and Technology
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    • v.13 no.2
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    • pp.60-65
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    • 2014
  • In this paper, numerical integration method using operational matrix of integration is studied. Using the operational matrix of integration, modified fixed point iteration method is introduced in order to solve rapidly an initial value problem for non-linear equation of motion. As an example, an initial value problem for orbital motion is considered. Through the numerical example, it is shown that the algorithm is efficient from the computational time point of view.

A Case Study of Post-Merger IT Integration Methodology on Cross-Border Mergers and Acquisitions (해외기업 인수합병 시 정보시스템 통합 방법론에 관한 사례연구)

  • Suh, Byung-Wan;Baek, Seung-Ik
    • Journal of Information Technology Services
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    • v.10 no.4
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    • pp.67-81
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    • 2011
  • Recently, Mergers and Acquisitions (M&A) have become increasingly popular in the last few decades, and overseas' M&A are particularly increasing to sharpen corporate competitiveness on a global scale. Previous studies showed that one of the main reasons attributes to failures of mergers was the lack of attention to merging information systems. In recent years, both academy and industry have more focused on Post-Merger Integration (PMI) and the integration of information systems (IS) between two companies is one of the critical success factors of corporate. This paper focused on Post-Merger IT (Information Technology) Integration Methodology of Cross-Border M&A. We followed a single-site qualitative case study method in order to investigate the type of phenomenon in M&A's natural setting. Moreover, we examined a typical energy and power company case in order-based industry, so that other industry players may have different results to determine post-merger IT integration method and scope.

Integrated equations of motion for direct integration methods

  • Chang, Shuenn-Yih
    • Structural Engineering and Mechanics
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    • v.13 no.5
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    • pp.569-589
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    • 2002
  • In performing the dynamic analysis, the step size used in a step-by-step integration method might be much smaller than that required by the accuracy consideration in order to capture the rapid chances of dynamic loading or to eliminate the linearization errors. It was first found by Chen and Robinson that these difficulties might be overcome by integrating the equations of motion with respect to time once. A further study of this technique is conducted herein. This include the theoretical evaluation and comparison of the capability to capture the rapid changes of dynamic loading if using the constant average acceleration method and its integral form and the exploration of the superiority of the time integration to reduce the linearization error. In addition, its advantage in the solution of the impact problems or the wave propagation problems is also numerically demonstrated. It seems that this time integration technique can be applicable to all the currently available direct integration methods.

The Study on the Determination of the Contact Area of the Circular Plate Resting on Elastic Half-space under Axisymmetric Loading (탄성지반 위의 축대칭 하중을 받는 원판의 접촉응력 해석에 관한 연구)

  • 조현영;정진환;김성철
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1997.10a
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    • pp.87-94
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    • 1997
  • The circular plate resting on Boussinesq's half-space model under axisymmetric loading is studied by a finite element procedure to evaluate the distribution of contact pressure between plate and elastic half-space. The displacement of half-space due to axisymmetric surface loading can be evaluated by double integration of Boussinesq's solution. On that case the analytical integration can be executed for the radial direction but the analytical integration for the circumferential direction is impossible and the numerical integration should be considered. With the radial integration we can get non-dimensional function. Then the numerical integration for the formula is executed for the circumferential direction and the results are approximated 5th order Polynomials by using the least square method. With these 5th order approximate formula, the flexibility matrix of half-space is constructed as the coefficient matrix of nodal contact pressure by the finite element procedures. Iteration procedures are attempted by using this method to determine the separated region.

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Application of the explicit time integration finite element method to quasi-static metal forming problems (금속 성형 공정의 준정적 변형 예측을 위한 외연적 시간 적분 유한 요소법의 적용에 대한 연구)

  • Yoo, Y.H.;Yang, D.Y.
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.12
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    • pp.53-63
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    • 1995
  • In the analysis of metal forming problems, the explicit time integration finite element method, which does not have convergence problems, is frequently used. The present work is to assess the applicability of the explicit time integration finite element method to quasi-static metal forming problems. Compressing analyses of thin-walled tubes and solid cylinders are performed with different loading velocities. The computed buckled profiles of thin walled tubes are compared with the theoretical and experimental ones and it is found that at sufficiently low loading velocity, the explicit time integration finite element method accurately predict quasi-static buckled profiles. When loading volocity is increased, the computed buckled profiles of thin-walled tubes are very sensitive to loading velocity however the computed profiles of solid cylinders are less sensitive to loading velocity. In orther words, the geometrically self-constrained specimens like solid cylinders are less sensitive to loading velocity than the geometrically unconstrained specimens like thin-walled tubes. As a result, it is found that the geometrically self-constrained problems which include the greater part of metal forming problems can be efficiently analyzed with loading velocity control technique.

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