• Title/Summary/Keyword: Numerical errors

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Numerical estimation of errors in drop angle during drop tests of IP-Type metallic transport containers for radioactive materials

  • Lim, Jongmin;Yang, Yun Young;Lee, Ju-chan
    • Nuclear Engineering and Technology
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    • v.53 no.6
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    • pp.1878-1886
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    • 2021
  • For industrial package (IP)-type transport containers for radioactive materials, a free drop test should be conducted under regulatory conditions. Owing to various uncertainties observed during the drop test, errors in drop angles inevitably occur. In IP-type metal transport containers in which the container directly impacts onto a rigid target without any shock absorbing materials, the error in the drop angle due to a slight misalignment makes a significant difference from the ideal drop. In particular, in a vertical drop, the error in the drop angle causes a strong secondary impact. In this paper, a numerical method is proposed to estimate the error in the drop angle occurring during the test. To determine this error, an optimization method accompanying a computational drop analysis is proposed, and a surrogate model is introduced to ensure calculation efficiency. Effectiveness of the proposed method is validated by performing the verification and comparison between the test and the analysis applied with the drop angle error.

Performance Analysis of Hybrid SIMO-RF/FSO Communication System with Fixed Gain AF Relay

  • Shi, Wenxiao;Kang, Kai;Wang, Zhuo;Liu, Wei
    • Current Optics and Photonics
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    • v.3 no.5
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    • pp.365-373
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    • 2019
  • This paper investigates the performance of a hybrid single input multiple output radio frequency/free-space optics (SIMO-RF/FSO) communication system. Each SIMO-RF link is modeled as an independent and identically distributed (i.i.d.) Rayleigh distribution, while the FSO link follows a generalized $M{\acute{a}}laga$ (M) distribution. Considering the fixed gain amplify-and-forward (AF) relay and misalignment errors, novel expressions for the outage probability (OP), average bit error rate (ABER) and average capacity are derived. Numerical results show that atmospheric turbulence and misalignment errors can seriously impair the system performance, and the hybrid RF/FSO communication system using SIMO-RF links can greatly improve system performance. We also analyze system performance under different types of modulation schemes. Numerical results are verified by Monte Carlo simulations.

Structural Vibration Control with $H_{\infty}$ Control Algorithm ($H_{\infty}$제어알고리즘을 이용한 구조물의 진동제어)

  • 고현무
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 1998.10a
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    • pp.93-99
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    • 1998
  • Mathematical model can be obtained by physical law or engineering theory. However it is always incomplete expression of the real system. In active controls to suppress vibration due to earthquake or wind load, modeling errors can often cause the problems of instability and performance degradation. In this paper, robust optimal controller design method using H$\infty$ control theory is developed for the systems which have uncertain natural frequency and design constraints. Numerical results show that the proposed H$\infty$ controller can avoid the performance degradation due to several errors and has better performance than conventional LQR method.

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An Adaptive Finite Element Method for Magnetostatic Force Computations (정자력 계산을 위한 적응 유한 요소법)

  • 박용규;박일한;정형석;정현교;이기식;한송엽
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.38 no.2
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    • pp.100-105
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    • 1989
  • This paper presents an adaptive finite element method for magnetostatic force computation using Maxwell's stress tensor. Mesh refinements are performed automatically by interelement magnetic field intensity discontinuity errors and element force errors. In initial mesh, the computed forces for different integration paths give great differences, but converge to a certain value as mesh division is performed by the adaptive scheme, We obtained good agreement between analytic solutions and numerical values in typical examples.

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Human Machine Serial Systems Reliability and Parameters Estimation Considering Human Learning Effect (학습효과를 고려한 인간 기계 직렬체계 신뢰도와 모수추정)

  • KIM, Kuk
    • Journal of the Korea Management Engineers Society
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    • v.23 no.4
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    • pp.159-164
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    • 2018
  • Human-machine serial systems must be normal in both systems. Though the failure of machine is irreducible by itself, the human errors are of recurring type. When the human performance is described quantitatively, non-homogeneous Poisson Process model of human errors can be developed. And the model parameters can be estimated by maximum likelihood estimation and numerical analysis method. System reliability is obtained by multiplying machine reliability by human reliability.

Experimental Measurement and Numerical Computation on the Air-Side Forced Convective Heat Tranfer Coefficient in Plate Fin-Tube Exchangers (평판 핀 튜브 열교환기의 공기측 강제대류 열전달계수에 대한 실험 및 수치계산)

  • Yoon, Young-Hwan;Paeng, Jin-Gi;Yoon, Keon-Sik
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.18 no.9
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    • pp.729-737
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    • 2006
  • Air-side forced convective heat transfer of a plate fin-tube heat exchanger is investigated by experimental measurement and numerical computation. The heat exchanger consists of staggered arrangement of refrigerant pipes of 10.2 m diameter and the pitch of fins is 3.5 m. In the experimental study, the forced convective heat transfer is measured at Reynolds number of 1082, 1397, 1486, 1591 and 1649 based on diameter of refrigerant piping and mean velocity. Average Nusselt number for the convective heat transfer coefficient is also computed for the same Reynolds number by commercial software of STAR-CD with standard $k-{\varepsilon}$ turbulent model. It is found that the relative errors of average Nusselt numbers between experimental and numerical data are less than 6 percentage in Reynolds number of $1082{\sim}1649$. The errors between experiment and other correlations are ranged from 7% to 32.4%. But the correlation of Kim at al is closest to the experimental data within 7% of the relative error.

A Study of River-Bed Variation from Goan to Indogyo due to Flood in Han River (홍수시 한강 하류부의 하상변동에 관한 연구)

  • 박정응;김경수
    • Water for future
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    • v.24 no.2
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    • pp.109-119
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    • 1991
  • The river-bed variation and the sediment transport in an alluvial stream are very complicated physical phenomena, especially in a stream where the dam construction prevents the supply of earth and sand from upper tributaries Therefore, the mathematical modeling is needed to establish. The purpose of this study is to apply river-bed variation to the Han River downstream by the conception of gradually varied unsteady flow instead of that of steady flow in order to decrease errors. For the variation and forecast of river-bed, the numerical analysis has been made in this study by way of discharge variation and river-bed variation. In conclusion, the numerical analysis shows that river-bed variation, sediment transport , and their forecast have similarity to natural phenomena and that river-bed variation is greatly affected in sediment transport by discharge variation and retention time(duration). Therefore, the errors of numerical analysis can be reduced by the application of flood data instead of continuous discharge data.

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On the Average Case Errors of Numerical Integration Rules using Interpolation (보간법을 이용한 수치적분법의 평균 오차에 관한 연구)

  • Choi, Sung-Hee;Hwang, Suk-Hyung;Lee, Jeong-Bae;Hong, Bum-Il
    • The KIPS Transactions:PartA
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    • v.11A no.5
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    • pp.401-406
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    • 2004
  • Among many algorithms for the integration problems in which one wants to compute the approximation to the definite integral in the average case setting, we study the average case errors of numerical integration rules using interpolation. In particular, we choose the composite Newton-Cotes quadratures and the function values at equally spaced sample points on the given interval as information. We compute the average case error of composite Newton-Cotes quadratures and show that it is minimal(modulo a multiplicative constant).

Explicit Motion of Dynamic Systems with Position Constraints

  • Eun, Hee-Chang;Yang, Keun-Hyuk;Chung, Heon-Soo
    • Journal of Mechanical Science and Technology
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    • v.17 no.4
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    • pp.538-544
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    • 2003
  • Although many methodologies exist for determining the constrained equations of motion, most of these methods depend on numerical approaches such as the Lagrange multiplier's method expressed in differential/algebraic systems. In 1992, Udwadia and Kalaba proposed explicit equations of motion for constrained systems based on Gauss's principle and elementary linear algebra without any multipliers or complicated intermediate processes. The generalized inverse method was the first work to present explicit equations of motion for constrained systems. However, numerical integration results of the equation of motion gradually veer away from the constraint equations with time. Thus, an objective of this study is to provide a numerical integration scheme, which modifies the generalized inverse method to reduce the errors. The modified equations of motion for constrained systems include the position constraints of index 3 systems and their first derivatives with respect to time in addition to their second derivatives with respect to time. The effectiveness of the proposed method is illustrated by numerical examples.