• Title/Summary/Keyword: Least squares solution

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A Gridless Finite Difference Method for Elastic Crack Analysis (탄성균열해석을 위한 그리드 없는 유한차분법)

  • Yoon, Young-Cheol;Kim, Dong-Jo;Lee, Sang-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.3
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    • pp.321-327
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    • 2007
  • This study presents a new gridless finite difference method for solving elastic crack problems. The method constructs the Taylor expansion based on the MLS(Moving Least Squares) method and effectively calculates the approximation and its derivatives without differentiation process. Since no connectivity between nodes is required, the modeling of discontinuity embedded in the domain is very convenient and discontinuity effect due to crack is naturally implemented in the construction of difference equations. Direct discretization of the governing partial differential equations makes solution process faster than other numerical schemes using numerical integration. Numerical results for mode I and II crack problems demonstrates that the proposed method accurately and efficiently evaluates the stress intensity factors.

Node Activation Technique for Finite Element Model : Ⅰ. Theory (유한요소 모델의 절점 활성화 기법 : Ⅰ. 이론)

  • Jo, Jin Yeon;Kim, Do Nyeon;Kim, Seung Jo
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.31 no.4
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    • pp.26-34
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    • 2003
  • In this paper, a novel technique is proposed to arbitrarily activate the nodal points in finite element model through the meshless approximation methods such as MLS(moving least squares method), and theoretical investigations are carried out including the consistency and boundeness of numerical solution to prove the validity of the proposed method. By using the proposed node activation technique, one can activate and handle only the concerned nodes as unknown variables among the large number of nodal points in the finite element model. Therefore, the proposed technique has a great potential in design and reanalysis procedure.

Quantification of Skin Moisture in Hairless Mouse by using a Portable NIR System and a FT NIR Spectrometer (Photo Diode Array형의 휴대용 근적외 분광기와 FT 근적외 분광기를 이용한 Hairless Mouse 피부 수분 정량)

  • Suh, Eun-Jung;Woo, Young-Ah;Kim, Hyo-Jin
    • YAKHAK HOEJI
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    • v.49 no.2
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    • pp.115-121
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    • 2005
  • In this study, the performance of a portable NIR system and a FT NIR spectrometer were compared to determine water content of hairless mouse skin. The stratum corneum parts wer e separated from the epidermal tissues by trypsin solution. NIR diffuse reflectance spectra of hairless mouse skin were acquired using a fiber optic probe. In the near infrared, water molecules show two clear absorption bands at 1450 nm from first overtone of O-H stretching and 1940 nm from the combination involving O-H stretching and O-H deformation. It was found that the variations of O-H absorption band according to water content. Partial least squares regression (PLSR) was applied to develop a calibration model. The PLS model showed a good correlation between NIR predicted value and the absolute water content of separated hairless mouse skin, in vitro. For both the portable and the FT NIR spectrometer, These studies showed the possibility of a rapid and nondestructive skin moisture measurement using NIR spectroscopy. The portable NIR spectrometer with a photodiode arrays-microsensor could be more rapidly applied for the determination of water content with comparable accuracy with the performance of a FT spectrometer .

On analysis of row-column designs (행-열 실험계획의 분석에 관한 연구)

  • 백운봉
    • The Korean Journal of Applied Statistics
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    • v.5 no.2
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    • pp.229-242
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    • 1992
  • Bradley and Stewart(1991) considered a large class of experimental designs as multidimensional block designs(MBD's). The simplest MBD could be considered to be a row-column design(RCD). They presented the intrablock analysis of variance for a general row-column design. In this article, a generalized least squares solution for Bradley & Stewart's example is considered. In this case, the assumption is that row and column effects are random. This is an application of revised Paik(1990a,1990b)'s method. The Appendix is devoted to that revised method.

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Plotting positions and approximating first two moments of order statistics for Gumbel distribution: estimating quantiles of wind speed

  • Hong, H.P.;Li, S.H.
    • Wind and Structures
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    • v.19 no.4
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    • pp.371-387
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    • 2014
  • Probability plotting positions are popular and used as the basis for distribution fitting and for inspecting the quality of the fit because of its simplicity. The plotting positions that lead to excellent approximation to the mean of the order statistics should be used if the objective of the fitting is to estimate quantiles. Since the mean depends on the sample size and is not amenable for simple to use closed form solution, many plotting positions have been presented in the literature, including a new plotting position that is derived based on the weighted least-squares method. In this study, the accuracy of using the new plotting position to fit the Gumbel distribution for estimating quantiles is assessed. Also, plotting positions derived by fitting the mean of the order statistics for all ranks is proposed, and an approximation to the covariance of the order statistics for the Gumbel (and Weibull) variate is given. Relative bias and root-mean-square-error of the estimated quantiles by using the proposed plotting position are shown. The use of the proposed plotting position to estimate the quantiles of annual maximum wind speed is illustrated.

OBLIQUE PROJECTION OPERATION FOR NEAR OPTIMAL IMAGE RESIZING

  • Lee, Chulhee
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 1996.06a
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    • pp.209-212
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    • 1996
  • In this paper, we propose to re-size images using an oblique projection operator instead of the orthogonal one in order to obtain faster, simpler, and more general algorithms. The main advantage is that it becomes perfectly feasible to use higher order models(e.g., splines of degree n 3). We develop the theoretical background and present a simple and practical implementation procedure that uses B-splines. Experiments show that the proposed algorithm consistently outperforms the standard interpolation method and that it essentially provides the same performance as the optimal procedure (least squares solution) with considerably less computations.

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Image Reconstruction of Subspace Object Using Electrical Resistance Tomography

  • Boo, Chang-Jin;Kim, Ho-Chan;Lee, Yoon-Joon
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.2480-2484
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    • 2005
  • Electrical resistance tomograpy (ERT) maps resistivity values of the soil subsurface and characterizes buried objects. The characterization includes location, size, and resistivity of buried objects. In this paper, truncated least squares (TLS) is presented for the solution of the ERT image reconstruction. Results of numerical experiments in ERT solved by the TLS approach is presented and compared to that obtained by the Gauss-Newton method.

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Mobile Robot Velocity Estimation Using Redundant Number of Optical Mice (여유 개수의 광 마우스를 이용한 이동로봇 주행속도 추정)

  • Kim, Sung-Bok;Jeong, Il-Hwa;Lee, Sang-Hyup
    • Proceedings of the KIEE Conference
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    • 2007.04a
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    • pp.315-318
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    • 2007
  • 본 논문에서는 이동로봇 바닥에 설치된 여유 개수의 광 마우스를 이용하여 주행 중인 이동로봇의 속도를 효율적으로 추정하는 방안에 대해 기술한다. 먼저, 이동로봇의 속도 벡터와 광 마우스의 속도 벡터간의 관계를 과결정 선형시스템(Overdetermined Linear System)으로 표현한다. 다음, 과결정 시스템에 대한 최소자승 해(Least Squares Solution)로써 이동로봇의 주행 속도를 효율적으로 추정한다. 마지막으로 시뮬레이션을 통해 제안된 이동로봇 주행 속도 추정법의 유효성을 확인한다.

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Modal Analysis of Stress Wave Test for Flaw Detection in Concrete (콘크리트의 결함평가를 위한 탄성파시험의 모우드해석)

  • 정범석;이창무;강병탁;황진호
    • Proceedings of the Korea Concrete Institute Conference
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    • 2000.10b
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    • pp.1261-1266
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    • 2000
  • In the impact echo method, a stress pulse is introduced into an object at on accessible surface by a transmitter. The pulse propagates into the test object and is reflected by flaws or interfaces. In this paper, void and crack locations of concrete specimens were detected using impact echo method. In their modal identification procedures, the double least squares solution for Ibrahim Time Domain technique was used.

Synthesis of Magnesite by Hydrothermal Method (마그네사이트(MgCO$_3$)의 수열합성에 관한 연구)

  • 오기동
    • Journal of the Korean Ceramic Society
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    • v.11 no.3
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    • pp.14-18
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    • 1974
  • Magnesite single crystals up to 250 microns were synthesized from an equi-molar solution of MgCl2 and Na2CO3 in the micro-autoclave at 180-20$0^{\circ}C$. The lattice constant of synthetic magnesite was obtained a=4.6369(7), c=15.0230(10)A.U. by a least squares analysis based on the UNICS Program (Sakurai 1967) was applied to 28 reflections. Results of X-ray powder diffraction and of DTA, TGA, IRA, and EPMA studies indicate that synthesized magnesite has properties to those of natural magnesite.

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