• Title/Summary/Keyword: J-curve

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EFFICIENT ESTIMATION OF THE REGULARIZATION PARAMETERS VIA L-CURVE METHOD FOR TOTAL LEAST SQUARES PROBLEMS

  • Lee, Geunseop
    • Journal of the Korean Mathematical Society
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    • v.54 no.5
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    • pp.1557-1571
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    • 2017
  • The L-curve method is a parametric plot of interrelation between the residual norm of the least squares problem and the solution norm. However, the L-curve method may be hard to apply to the total least squares problem due to its no closed form solution of the regularized total least squares problems. Thus the sequence of the solution norm under the fixed regularization parameter and its corresponding residual need to be found with an efficient manner. In this paper, we suggest an efficient algorithm to find the sequence of the solutions and its residual in order to plot the L-curve for the total least squares problems. In the numerical experiments, we present that the proposed algorithm successfully and efficiently plots fairly 'L' like shape for some practical regularized total least squares problems.

Simulation of elastic curve of SW-CNT for chemical sensor application (화학센서 응용을 위한 SW-CNT의 elastic curve의 Simulation)

  • Lee, K.S.;Na, D.S.;Kim, J.K.;Lee, Y.H.;Iu, Byeong-Kwon
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2005.07a
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    • pp.375-376
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    • 2005
  • 탄소나노튜브는 캔틸레버처럼 주어진 압력에 의해 elastic curve를 형성하게 되는데, 이러한 성질은 탄소나노튜브가 가지고 있는 young's modulus와 구조적인 형태에서 기인한다. 따라서 탄소나노튜브의 변위와 인가된 analyte의 농도에 따른 압력 사이의 관계를 이용해 가스센서로의 적용이 가능하다. 이 번 연구에서는 시뮬레이션을 통해 길이가 30nm 이고 반경이 1.5nm로 모델링 된 단일 벽 탄소나노튜브가 3000ppm와 1000ppm ethanol의 농도에 의해 형성된 elastic curve의 최대변위를 구하고, 농도와 단일 벽 탄소나노튜브의 elastic curve의 최대변위가 비례함을 보였다.

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Evaluation of the true-strength characteristics for isotropic materials using ring tensile test

  • Frolov, A.S.;Fedotov, I.V.;Gurovich, B.A.
    • Nuclear Engineering and Technology
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    • v.53 no.7
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    • pp.2323-2333
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    • 2021
  • The paper proposes a technique for reconstructing the true hardening curve of isotropic materials from ring tensile tests. Neutron irradiated 42XNM alloy tensile properties were investigated. The calculation of the true hardening curve for tensile and compression tests of standard cylindrical samples was performed at the first step. After that, the FEM-model was developed and validated using the ring tension and compression tests (with the hardening curve defined in step 1). Finally, the true hardening curve was calculated by selecting the FEM-model parameters and its validation by ring sample tests in different states using an iterative method. For these samples, experimental and calculated gauge length values were obtained, and the corresponding material's constants were estimated.

19 years of change in community structure of Quercus acutissima dominant stand on Mt. Danseok-san in Gyeongju national park, South Korea (경주 단석산 상수리나무 우점식분 군집구조의 19년간의 변화)

  • Ko, Jae Ki
    • Journal of Wetlands Research
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    • v.20 no.3
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    • pp.243-248
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    • 2018
  • This study was carried out to clarify changes in community structure of Quercus acutissima dominant stand on the south slope of Mt. Danseok-san with fixed twenty quadrates. Five field surveys were conducted from Aug. 1999 to May 2018. During the period, the density lessened to 0.20 in 2012 comparing with 0.33 in 1999. However recent field study in 2018 showed moderate rising to 0.24. In 1999, the DBH class distribution of all trees formed reverse J curve. However, the reverse J curve was torn down, forming bell curve. In 2018, the curve showed similar shape of reverse J shape on the group of young trees, forming bell shape on the group of mature trees. It reveals that DBH 13cm is on the threshold of trees competition trend where the downtrend in the trees are on uptrend. The most dominant Q. acutissima formed bell curve. The peak of the curve shows the shift to the right of the graph as it gets lower by year.In case of Q. mongolica, shows a change in the shape of a low bell as the distribution curve increases. The oak stand in this study is in the process of changing from the initial stage of the secondary forest succession to the intermediate stage. The most dominant tree is Q. acutissima, and the sub-dominant tree is Q. mongolica in present. Considering the age distribution of the two competing tree species, the succession of this stand is expected to transfer to the Q. mongolica-dominant community.

The comparison of the fatigue crack initiation life in a notch (노치부의 피로균열발생 수명 비교)

  • Kim, S.H.;Bae, S.I.;Ham, K.C.;Song, J.I.
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.217-222
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    • 2001
  • For the life evaluating of notched members, it is the best way that performing the real fatigue test of structure containing notch. But this method required generally much times and costs to evaluate fatigue life. So, generally we use the modified S-N curve or several methods to predict fatigue life. In this study, crack initiation life was evaluated by fatigue testing the SAE keyhole specimen and smooth specimen made of Al 7075-T6 alloys using the constant load then obtained S-N curve of smooth specimen and P-N curve of SAE keyhole specimen. And, fatigue lives of keyhole specimen are predicted using some life prediction methods (Nominal range I method, Nominal range II method, FEM analysis) for investigating experimented results, and that were compared with experimental data. Predicted fatigue lives by FEM analysis were corresponded with experimental data between 1/3times and 3times on the whole, and predicted fatigue lives using modified S-N curve (Nominal range I method, Nominal range II method) were nonconservative compared with that of FEM analysis.

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