• Title/Summary/Keyword: Numerical errors

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Numerical Analysis Models for Jointless Bridges Through Sensitivity Analysis (민감도 해석을 통한 무조인트 교량의 수치해석 모델 제안)

  • Noh, Chi-Oug;Kim, Seung-Won;Lee, Hwan-Woo;Nam, Moon-Seok
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.34 no.4
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    • pp.255-262
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    • 2021
  • In this study, a jointless bridge that integrates the superstructure and abutment without installing an expansion joint was analyzed. An example of a jointless bridge that has been introduced in Korea since 2009. Owing to the short period of use and lack of experience in design, construction, and maintenance, there is insufficient information regarding the long-term behavior of jointless bridges. When analyzing numerous bridges, the numerical analysis model must maintain the numerical values used and ensure the convenience of model construction. In this study, sensitivity analysis was performed to select a numerical model for various types of jointless bridges using commercial finite element programs, MIDAS Civil and ABAQUS 2018. According to a solid element-based model, we analyzed the mean and maximum relative errors between structural models. Consequently, it was found that the beam element-based model exhibits a significantly small relative error in comparison to the shell element, where a relatively large error was recorded. Therefore, the optimal numerical analysis model, a practical model that maintains the similarity and precision of the displacement shape cause by relative error, was judged to be the most suitable for jointless bridges based on the shell element.

Negative apparent resistivity in dipole-dipole electrical surveys (쌍극자-쌍극자 전기비저항 탐사에서 나타나는 음의 겉보기 비저항)

  • Jung, Hyun-Key;Min, Dong-Joo;Lee, Hyo-Sun;Oh, Seok-Hoon;Chung, Ho-Joon
    • Geophysics and Geophysical Exploration
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    • v.12 no.1
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    • pp.33-40
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    • 2009
  • In field surveys using the dipole-dipole electrical resistivity method, we often encounter negative apparent resistivity. The term 'negative apparent resistivity' refers to apparent resistivity values with the opposite sign to surrounding data in a pseudosection. Because these negative apparent resistivity values have been regarded as measurement errors, we have discarded the negative apparent resistivity data. Some people have even used negative apparent resistivity data in an inversion process, by taking absolute values of the data. Our field experiments lead us to believe that the main cause for negative apparent resistivity is neither measurement errors nor the influence of self potentials. Furthermore, we also believe that it is not caused by the effects of induced polarization. One possible cause for negative apparent resistivity is the subsurface geological structure. In this study, we provide some numerical examples showing that negative apparent resistivity can arise from geological structures. In numerical examples, we simulate field data using a 3D numerical modelling algorithm, and then extract 2D sections. Our numerical experiments demonstrate that the negative apparent resistivity can be caused by geological structures modelled by U-shaped and crescent-shaped conductive models. Negative apparent resistivity usually occurs when potentials increase with distance from the current electrodes. By plotting the voltage-electrode position curves, we could confirm that when the voltage curves intersect each other, negative apparent resistivity appears. These numerical examples suggest that when we observe negative apparent resistivity in field surveys, we should consider the possibility that the negative apparent resistivity has been caused by geological structure.

Analysis of 2-Dimensional Elasto-Plastic Stress by a Time-Discontinuous Variational Integrator of Hamiltonian (해밀토니안의 시간 불연속 변분적분기를 이용한 2차원 탄소성 응력파 해석)

  • Chol, S.S.;Huh, H.;Park, K.C.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2008.10a
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    • pp.263-266
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    • 2008
  • This paper is concerned with the analysis of elasto-plastic stress waves in a mode I semi-infinite cracked solid subjected to Heaviside pulse load. This study adopts a time-discontinuous variational integrator based on Hamiltonian in order to reduce the numerical dispersive and dissipative errors. This also utilizes an integration scheme of the constitutive model with 2nd-order accuracy which is formulated on the strain space for a rate and temperature dependent material model. Finite element analyses of elasto-plastic stress waves are carried out in order to compare the accuracy between a conventional Galerkin method and the time- discontinuous variational integrator.

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Estimators for Parameters Included in Cold Standby Systems with Imperfect Switches

  • Al-Ruzaiza A. S.;Sarhan Ammar M.
    • International Journal of Reliability and Applications
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    • v.6 no.2
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    • pp.65-78
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    • 2005
  • In this paper we derive estimations of the parameters included in the distribution of the lifetime of k-out-of-m cold standby system with imperfect switches. Maximum likelihood and Bayes procedures are followed to get such estimations. Numerical studies, using Monte Carlo simulation method, are given in order to explain how we can utilize the theoretical results derived, and to compare the performance of the two different methods used. The criterion of comparisons is the mean squared errors associated with each estimate.

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An Extension of the Optimality of Exponential Smoothing to Integrated Moving Average Process (일반적인 IMA과정에 대한 지수평활 최적성의 확장)

  • Park, Hae-Chul;Park, Sung-Joo
    • Journal of the military operations research society of Korea
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    • v.8 no.1
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    • pp.99-107
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    • 1982
  • This paper is concerned with the optimality of exponential smoothing applied to the general IMA process with different moving average and differencing orders. Numerical experiments were performed for IMA(m,n) process with various combinations of m and n, and the corresponding forecast errors were compared. Results show that the higher differencing order is more critical to the optimality of exponential smoothing, i.e., the IMA process with the higher moving average order, forecasted by exponential smoothing, has comparatively smaller forecast error. If the difference between the differencing order and the moving average order becomes larger, the accuracy of forecast by exponential smoothing declines gradually.

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A Study under behavior of tensile and vibration in composite plate by ESPI method (ESPI 법에 의한 복합재 평판의 인장 및 진동 거동에 관한 연구)

  • 김경석
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.8 no.4
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    • pp.106-111
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    • 1999
  • This study discusses a non-contact optical technique electronic, electronic speckle pattern interferometry(ESPI) that is well suited for in-plane and out-of-plane deformation measurement Used as specimen which has the boundary condition of two clamped parallel edges composite material AS4/PEEK[30/-30/90]s was analyzed by ESPI to determined the characteristics of tensile and vibration. These are quantitativly compared with the result of FEM analysis. Finally the results of this study are briefly summarized as follows : (1) In the in-plane strain analysis by comparison of theoretical results with experimental results qualitatively we confirmed that measurement errors are within 3 % in case of accuracy (2) From comparison of experimental vibration modes with numerical vibration mode shapes by the FEM analysis quantitatively we confirmed that vibration mode measurement by the ESPI has high accuacy.

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A Clustering-based Semi-Supervised Learning through Initial Prediction of Unlabeled Data (미분류 데이터의 초기예측을 통한 군집기반의 부분지도 학습방법)

  • Kim, Eung-Ku;Jun, Chi-Hyuck
    • Journal of the Korean Operations Research and Management Science Society
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    • v.33 no.3
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    • pp.93-105
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    • 2008
  • Semi-supervised learning uses a small amount of labeled data to predict labels of unlabeled data as well as to improve clustering performance, whereas unsupervised learning analyzes only unlabeled data for clustering purpose. We propose a new clustering-based semi-supervised learning method by reflecting the initial predicted labels of unlabeled data on the objective function. The initial prediction should be done in terms of a discrete probability distribution through a classification method using labeled data. As a result, clusters are formed and labels of unlabeled data are predicted according to the Information of labeled data in the same cluster. We evaluate and compare the performance of the proposed method in terms of classification errors through numerical experiments with blinded labeled data.

Geometrically non-linear dynamic analysis of plates by an improved finite element-transfer matrix method on a microcomputer

  • Chen, YuHua
    • Structural Engineering and Mechanics
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    • v.2 no.4
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    • pp.395-402
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    • 1994
  • An improved finite element-transfer matrix method is applied to the transient analysis of plates with large displacement under various excitations. In the present method, the transfer of state vectors from left to right in a combined finite element-transfer matrix method is changed into the transfer of generally incremental stiffness equations of every section from left to right. Furthermore, in this method, the propagation of round-off errors occurring in recursive multiplications of transfer and point matrices is avoided. The Newmark-${\beta}$ method is employed for time integration and the modified Newton-Raphson method for equilibrium iteration in each time step. An ITNONDL-W program based on this method using the IBM-PC/AT microcomputer is developed. Finally numerical examples are presented to demonstrate the accuracy as well as the potential of the proposed method for dynamic large deflection analysis of plates with random boundaries under various excitations.

Modified Unscented Kalman Filter for a Multirate INS/GPS Integrated Navigation System

  • Enkhtur, Munkhzul;Cho, Seong Yun;Kim, Kyong-Ho
    • ETRI Journal
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    • v.35 no.5
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    • pp.943-946
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    • 2013
  • Instead of the extended Kalman filter, the unscented Kalman filter (UKF) has been used in nonlinear systems without initial accurate state estimates over the last decade because the UKF is robust against large initial estimation errors. However, in a multirate integrated system, such as an inertial navigation system (INS)/Global Positioning System (GPS) integrated navigation system, it is difficult to implement a UKF-based navigation algorithm in a low-grade or mid-grade microcontroller, owing to a large computational burden. To overcome this problem, this letter proposes a modified UKF that has a reduced computational burden based on the basic idea that the change of probability distribution for the state variables between measurement updates is small in a multirate INS/GPS integrated navigation filter. The performance of the modified UKF is verified through numerical simulations.

Fault Detection of a Spacecraft's Reaction Wheels by Extended Unknown Input Observer (확장형 미지입력 관측기를 이용한 위성 반작용 휠의 고장 검출)

  • Jin, Jae-Hyun;Yong, Ki-Ryeok
    • Journal of Institute of Control, Robotics and Systems
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    • v.17 no.11
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    • pp.1138-1144
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    • 2011
  • This article deals with the problem of fault detection of a spacecraft's actuators. The authors introduce an extended unknown input observer for nonlinear systems. This is an extended form of unknown input observers which are used for linear systems. Since faults are not available, those are considered as unknown inputs. Unknown input observers can estimate states without full information of inputs if some conditions are satisfied. The authors suggest a continuous-time extended UIO (eUIO) and prove the convergence of state estimation errors. Since the dynamic equation of a spacecraft is nonlinear, an extended UIO can be applied. Three eUIOs are designed to monitor three reaction wheels. The moving averages of each eUIO's residuals are selected for decision logic. The proposed method is verified by numerical simulations.