• Title/Summary/Keyword: Numerical errors

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Least-Squares Meshfree Method and Integration Error (최소 제곱 무요소법과 적분 오차)

  • Park, Sang-Hun;Yun, Seong-Gi
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.10
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    • pp.1605-1612
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    • 2001
  • Least-squares meshfree method is presented. Conventional meshfree methods based on the Galerkin formulation suffer from inaccurate numerical integration. Least-squares formulation exhibits rather different integration-related characteristics. It is demonstrated through numerical examples that least-squares formulation is much more robust to integration errors than the Galerkin's. Therefore efficient meshfree methods can be devised by combining very simple integration algorithms and least-squares formulation.

A Refined Semi-Analytic Sensitivity Study Based on the Mode Decomposition and Neumann Series Expansion (I) - Static Problem - (강체모드분리와 급수전개를 통한 준해석적 민감도 계산 방법의 개선에 관한 연구(I) - 정적 문제 -)

  • Cho, Maeng-Hyo;Kim, Hyun-Gi
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.4
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    • pp.585-592
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    • 2003
  • Among various sensitivity evaluation techniques, semi-analytical method(SAM) is quite popular since this method is more advantageous than analytical method(AM) and global finite difference method(FDM). However, SAM reveals severe inaccuracy problem when relatively large rigid body motions are identified fur individual elements. Such errors result from the numerical differentiation of the pseudo load vector calculated by the finite difference scheme. In the present study, an iterative method combined with mode decomposition technique is proposed to compute reliable semi-analytical design sensitivities. The improvement of design sensitivities corresponding to the rigid body mode is evaluated by exact differentiation of the rigid body modes and the error of SAM caused by numerical difference scheme is alleviated by using a Von Neumann series approximation considering the higher order terms for the sensitivity derivatives.

A Numerical Study of a Room Fire for Fire Sizes II. wall fire and corner fire (FDS를 이용한 실내화재 모사의 문제점 II. 벽면형 및 모서리형 화재)

  • Ko Kyung-Chan;Park Woe-Chul
    • Journal of the Korean Society of Safety
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    • v.19 no.3 s.67
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    • pp.9-13
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    • 2004
  • To confirm the previous finding that FDS predicts a fire growth rate too rapid compared with an experiment in a center fire in a room with an opening, the same computational fluid dynamics was applied to two types of fires, wall fire and comer fire. First the grid size was chosen to eliminate possible numerical errors due to a coarse grid system. Then the two types of fires were simulated for three different fire sizes, 7.65, 21.25, and 51.57kW for each type, which are the same as in the experiment to be compared with. The fires were predicted to grow too fist although the average temperatures and heights of the neutral planes were in good agreement with measurement.

Prediction of the Logitudinal Aerodynamic Coefficients of the Aircraft at Low Speed (항공기 저속 세로축 공력 계수 예측에 관한 연구)

  • Kang, Jung-Hoon
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.8 no.1
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    • pp.83-95
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    • 2000
  • Lift, drag, pitching moment, what we call longitudinal aerodynamic coefficient, effects airplanes directly, so the method to find the accurate result quickly is an important factor from the beginning of the aircraft design. There are different ways to find aerodynamic coefficient such as empirical methods, numerical analysis methods, wind tunnel tests, and finally through an actual flight tests, but choosing the best methods depends on the due date or the cost. The accuracy varies on each design level, but all this methods have relationship to complement and balance each other, so by combining proper methods, the best result can be obtained. At this paper, empirical methods and numerical analysis method were experimented, compared, and reviewed to find the availability of each method and by combining two methods accurate result was obtained. So, we applied this methods to predict the aerodynamic coefficient on cruise configuration aircraft, and was able to obtain more accurate result on the low speed longitudinal aerodynamic coefficient. Also by watching there result, we are able to predict the errors before the actual wind tunnel test.

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A STUDY ON THE PREDICTION OF THE BASE FLOW CHARACTERISTICS OF A LAUNCH VEHICLE USING CFD

  • Kim Younghoon;Ok Honam;Kim Insun
    • Bulletin of the Korean Space Science Society
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    • 2004.10b
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    • pp.258-261
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    • 2004
  • Numerical simulations are made to predict the axial force coefficients of a two-stage launch vehicle, and the results are compared with those by wind tunnel tests. It is found that the forebody axial force is not affected by whether the base of the body is modeled or not. Modeling the sting support used in wind tunnel tests reduced the base axial force compared to the results without it. The present calculation shows that the forebody axial forces are underestimated while the base axial forces are overestimated. The total axial force, therefore, compares with the experimental data with better accuracy by cancelling out the errors of opposite signs. Modeling of the sting support in numerical simulations is found to be necessary to get a better agreement with the experiments for both base and overall axial force coefficients.

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ft Study on the Dither Random Noise for Improving the Bias Stability of Ring Laser Gyroscope (링레이저 자이로의 바이어스 안정도 개선을 위한 몸체진동 잡음 연구)

  • Shim, Kyu-Min;Kim, Cheon-Joong
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.11
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    • pp.1065-1073
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    • 2006
  • In this paper we confirm the relation between the phases and phase errors of the beat signal at the lock-in region of the amplitude modulation type ring laser gyroscope by numerical calculation. Based on this facts, we, numerically, study the envelopes and magnitudes of the dither noise for statistically summing out the beat signal phase error, and we, experimently, confirm these numerical results. As a result, we find that the dither noise requires the increase gradient and the decrease gradient of the dither amplitudes, and those gradients should be combined with white noise. The magnitude of the dither noise which is satisfied with these requirements should be more than 5 percents of the average dither amplitude.

A study on the Modeling and Dynamic Analysis of Cracked Beam Structures (균열이 있는 보의 모델링 및 동적 해석에 관한 연구)

  • 홍성욱;김만달;이종원
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.6
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    • pp.197-204
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    • 2003
  • This paper presents an efficient modeling and dynamic analysis method for open cracked beam structures. An equivalent bending spring model is introduced to represent the structural weakening effect in the presence of cracks. The proposed method adopts the exact dynamic element method (EDEM) to avoid the inconvenience and numerical errors in association with re-meshing the structural model with the crack position changed. The proposed modeling method is validated through a series of simulation and experiments. First, the proposed method is rigorously compared with a commercial finite element code. Then, two kinds of experiments are performed to validate the proposed modeling method. Finally, a diagnostic scheme fur open cracked beam structures is proposed and demonstrated through a numerical example.

REPORT ON CONSOLIDATION-INDUCED SOLUTE TRANSPORT

  • Lee, Jang-Guen
    • Proceedings of the Korean Geotechical Society Conference
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    • 2010.09c
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    • pp.140-145
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    • 2010
  • Consolidation in cohesive soils mainly focuses on compressibility of soils, but it affects solute transport in some cases. The consolidation process takes on particular significance for fine grained soils at high water content, such as dredged sediments, but has also been shown to be important for compacted clay liners during waste filling operation. Numerical investigation using CST1 and CST2 was reviewed on consolidation-induced solute transport in this paper, especially with the development of CST2 model, verification by comparing experimental results with numerical simulations, and cases studies regarding transport in a confined disposal facility (CDF) and during in-situ capping. The importance of the consolidation process on solute transport is accessed based on simulated concentration or mass breakthrough curves. Results indicate that neglecting transient consolidation effects may lead to significant errors in transport analyses, especially with soft contaminated cohesive soils undergoing large volume change.

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The Analysis of Eddy Current Testing Signals Considering Influence of Ferromagnetic Support Plate (강자성체 지지판의 영향이 고려된 와전류탐상의 신호해석)

  • Kim, Yong-Taek;Lee, Hyang-Beom;Yim, Chang-Jae;Choi, Young-Hwan
    • Proceedings of the KIEE Conference
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    • 2005.10c
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    • pp.50-52
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    • 2005
  • In this paper, the analysis of the eddy current testing(ECT) signals under thc Influence of the ferromagnetic support plate was performed in steam generator(SG) tube of nuclear power plant. In order to remove the influence of the ferromagnetic support plate, a multi-frequency ECT was used. The models which was established for the analysis of the signals is calculated using numerical analysis of finite element method. Through the result of numerical analysis, improved signals is acquired considering the influence of the ferromagnetic support plate using mixing of multi-frequency This paper is presented the residual errors and the phase changes for analysis of the defect signals which should be considered when conducting a ECT using multi-frequency.

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Experimental Vibration Analysis of Damped Beam Model Using Multi-degree Curve Fitting Method (다자유도 곡선맞춤법을 이용한 감쇠보 모델의 실험 진동해석)

  • Min, Cheon-Hong;Bae, Soo-Ryong;Park, Han-Il
    • Journal of Ocean Engineering and Technology
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    • v.22 no.1
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    • pp.70-74
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    • 2008
  • It is important to reduce the vibration and noise of submarines and ships. For the purpose of noise reduction, various researches are actively being conducted on the employment of complex structures. However, in the case of numerical analysis for complex structures with damping materials, substantial errors can be generated by the absence of an exact damping model. Thus experimental model analysis is necessary for the verification of a numerical analysis for complex structures. In this research, vibration experiments are conducted in order to ascertain the vibration properties of cantilever beam attached damping materials. First, an initial value is obtained by using a direct linear method. Next, based on this initial value, the exact modal parameters of the cantilever beam are obtained by using the Newton-Raphson method.