• Title/Summary/Keyword: Secant Method

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The Effects of Sample Disturbance on Undrained Properties of Yangsan Clay (양산점토의 비배수 특성에 대한 시료교란의 효과)

  • 김길수;임형덕;이우진
    • Proceedings of the Korean Geotechical Society Conference
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    • 2000.03b
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    • pp.639-646
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    • 2000
  • It is important to estimate the mechanical properties of clay since it is directly related to the design and the construction of geotechnical structures. Site exploration, which is composed of boring, sampling, in-situ, or laboratory tests, is preformed to estimate the mechanical properties. However, mechanical properties of clay measured from laboratory test may be different from in-situ properties due to disturbances occurred during sampling, transportation, storage, and trimming. In this study, the degree of disturbance according to sampling method was estimated with the test results of CK/sub o/U triaxial compression test on Yangsan clay. The soil samples were obtained by three types of sampling method, j.e., 76mm-tube sampler, 76mm-piston sampler, and block sampler. In order to evaluate the quality of samples, volumetric strain, undrained shear strength, secant Young's modulus, and pore pressure coefficient at peak measured from each sample were compared with one another. From the test results, it was observed that mechanical properties of the block and piston samples were more reliable than those of tube samples. But it was observed that the water content of piston was similar to that of tube samples at given depths while the water content of block samples was 14.3∼15.8% smaller than that of piston and tube samples. In addition to the evaluation of the quality of samples, relationship between c/sub u// σ/sub vc/'and OCR was established from the results of the CK/sub o/U triaxial compression tests, which were carried out using SHANSEP method. And also undrained shear strength was analyzed using the in-situ test data such as Cone Penetration Test(CPT), Dilatometer Test(DMT), and Field Vane Test(FVT) and was compared with that evaluated from CK/sub o/U triaxial compression test.

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Independent Component Analysis Using Fixed Point Algorithm Based on Newton and Secant Method Including Moment (모멘트와 뉴우턴법 및 할선법에 기초한 고정점 알고리즘의 독립성분분석 기법)

  • 민성재;조용현
    • Proceedings of the Korea Multimedia Society Conference
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    • 2002.05c
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    • pp.320-324
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    • 2002
  • 본 연구에서는 모멘트와 뉴우턴법 및 모멘트와 할선법에 각각 기초한 고정점 알고리즘의 신경망 기반 독립성분분석 기법을 제안하였다. 여기서 뉴우턴법과 할선법은 각각 엔트로피에 기초한 목적함수의 근을 구하는 근사화 방법으로 빠른 경신을 위함이고, 모멘트는 근사화에 의한 역혼합행렬의 경신과정에서 발생하는 발진을 줄여 좀 더 빠른 학습을 위함이다. 제안된 기법을 256×256 픽셀(pixel)의 8개 지문영상으로부터 임의의 혼합행렬에 따라 발생되는 영상들을 각각 대상으로 시뮬레이션 한 결과, 모멘트와 할선법에 기초한 알고리즘이 모멘트와 뉴우턴에 기초한 알고리즘보다 우수한 분리성능과 빠른 학습속도가 있음을 확인하였다.

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Independent Component Analysis Based on Neural Networks Using Secant Method and Moment (할선법과 모멘트에 의한 신경망 기반 독립성분분석)

  • 오정은;김아람;조용현
    • Proceedings of the Korea Multimedia Society Conference
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    • 2002.05c
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    • pp.325-329
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    • 2002
  • 본 연구에서는 할선법과 모멘트를 조합한 학습알고리즘의 신경망 기반 독립성분분석 기법을 제안하였다. 제안된 알고리즘은 할선법과 모멘트에 기초를 둔 고정점 알고리즘의 독립성분분석 기법이다. 여기서 할선법은 독립성분 상호간의 정보를 최소화하기 위해 negentropy를 최대화는 과정에서 요구되는 1차 미분에 따른 계산량을 줄이기 위함이고, 모멘트는 최대화 과정에서 발생하는 발진을 억제하여 보다 빠른 학습을 위함이다. 제안된 기법을 256×256 픽셀의 8개 지문영상에서 임의 혼합행렬에 따라 발생되는 혼합지문들을 각각 대상으로 시뮬레이션한 결과, 할선법만에 기초한 기법보다 우수한 분리성능과 빠른 학습속도가 있음을 확인하였다.

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DIRECT INELASTIC EARTHQUAKE DESIGN OF R/C STRUCTURE

  • Park, Hong-Gun;Eom, Tae-Sung
    • Proceedings of the Korea Concrete Institute Conference
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    • 2004.05a
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    • pp.472-477
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    • 2004
  • A new earthquake design method performing iterative calculations with secant stiffness was developed. Since basically the proposed design method uses linear analysis, it is convenient and stable in numerical analysis. At the same time, the proposed design method can accurately estimate the inelastic strength and ductility demands of the structural members through iterative calculations. In the present study, the procedure of the proposed design method was established, and a computer program incorporating the proposed method was developed. The proposed method, as an integrated analysis and design method, can directly address the earthquake design strategy intended by the engineer, such as limited ductility of member and the concept of strong column - weak beam. Through iterative calculations on a structural model with member sizes preliminarily assumed, the strength and ductility demands of each member can be determined so as to satisfy the given design strategy. As the result, structural safety and economical design can be achieved.

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Nonlinear inelastic analysis of steel-concrete composite beam-columns using the stability functions

  • Park, Jung-Woong;Kim, Seung-Eock
    • Structural Engineering and Mechanics
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    • v.30 no.6
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    • pp.763-785
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    • 2008
  • In this study, a flexibility-based finite element method considering geometric and material nonlinearities is developed for analyzing steel-concrete frame structures. The stability functions obtained from the exact buckling solution of the beam-column subjected to end moments are used to accurately capture the second-order effects. The proposed method uses the force interpolation functions, including a moment magnification due to the axial force and lateral displacement. Thus, only one element per a physical member can account for the interaction between the bending moment and the axial force in a rational way. The proposed method applies the Newton method based on the load control and uses the secant stiffness method, which is computationally both efficient and stable. According to the evaluation result of this study, the proposed method consistently well predicts the nonlinear inelastic behavior of steel-concrete composite frames and gives good efficiency.

Stiffness Evaluation of Steel Beam-to-Column Joints Using Component method (Component method를 이용한 철골 보-기둥 죠인트의 강성평가)

  • 양철민;조지은;김영문
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.04a
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    • pp.243-250
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    • 2004
  • This paper reports on the evaluation of the initial stiffness of steel joints using component method as well as experimental tests. The so-called component method corresponds precisely to a simplified mechanical model composed of extensional springs and rigid links, whereby the joint is simulated by an appropriate choice of rigid and flexible components. An application to a cantilever beam-to-column steel joint is presented and compared to the experimental results obtained under cyclic loading condition. Comparison between numerical and experimental results allows to conclude that the numerical model is able to simulate, with a good level of accuracy for initial stiffness, the behaviour of beam-to-column joints.

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Advanced Method for an Initial Pole Position Estimation of a PMLSM (PMLSM의 개선된 초기 자극위치 추정방법)

  • Lee Jin-Woo
    • Proceedings of the KIPE Conference
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    • 2004.07a
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    • pp.316-320
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    • 2004
  • This paper presents an advanced method for an initial pole position estimation of a PMLSM (Permanent Magnet Linear Synchronous Motor) that has an incremental encoder for servo applications but does not have Hall sensors as a magnetic pole sensor. The proposed algorithm finds either of two zero force positions and then the correct d-axis by appropriately using the secant method as a numerical method. It only requires the tuned current controller and the relative position information and so it can be simply applicable to a rotary PMSM. The experimental results show the validity of the proposed method with respect to accurate pole position estimation under the minimal moving distance during estimation process.

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Uncalibrated Visual Servoing through the Efficient Estimation of the Image Jacobian for Large Residual

  • Kim, Gon-Woo
    • Journal of Electrical Engineering and Technology
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    • v.8 no.2
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    • pp.385-392
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    • 2013
  • An uncalibrated visual servo control method for tracking a target is presented. We define the robot-positioning problem as an unconstrained optimization problem to minimize the image error between the target feature and the robot end-effector feature. We propose a method to find the residual term for more precise modeling using the secant approximation method. The composite image Jacobian is estimated by the proper method for eye-to-hand configuration without knowledge of the kinematic structure, imaging geometry and intrinsic parameter of camera. This method is independent of the motion of a target feature. The algorithm for regulation of the joint velocity for safety and stability is presented using the cost function. Adaptive regulation for visibility constraints is proposed using the adaptive parameter.

Strength Prediction of Corbels Using Strut-and-Tie Model Analysis

  • Kassem, Wael
    • International Journal of Concrete Structures and Materials
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    • v.9 no.2
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    • pp.255-266
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    • 2015
  • A strut-and-tie based method intended for determining the load-carrying capacity of reinforced concrete (RC) corbels is presented in this paper. In addition to the normal strut-and-tie force equilibrium requirements, the proposed model is based on secant stiffness formulation, incorporating strain compatibility and constitutive laws of cracked RC. The proposed method evaluates the load-carrying capacity as limited by the failure modes associated with nodal crushing, yielding of the longitudinal principal reinforcement, as well as crushing or splitting of the diagonal strut. Load-carrying capacity predictions obtained from the proposed analysis method are in a better agreement with corbel test results of a comprehensive database, comprising 455 test results, compiled from the available literature, than other existing models for corbels. This method is illustrated to provide more accurate estimates of behaviour and capacity than the shear-friction based approach implemented by the ACI 318-11, the strut-and-tie provisions in different codes (American, Australian, Canadian, Eurocode and New Zealand).

A QUASI-NEWTON METHOD USING DIRECTIONAL DERIVATIVES FOR NONLINEAR EQUATIONS

  • Kim, Sun-Young
    • Communications of the Korean Mathematical Society
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    • v.9 no.2
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    • pp.491-502
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    • 1994
  • Many problems arising in science and engineering require the numerical solution of a system of n nonlinear equations in n unknowns: (1) given F : $R^{n}$ $\rightarrow$ $R^{n}$ , find $x_{*}$ $\epsilon$ $R^{n}$ / such that F($x_{*}$) = 0. Nonlinear problems are generally solved by iteration. Davidson [3] and Broyden [1] introduced the methods which had led to a large amount of research and a class of algorithm. This work has been called by the quasi-Newton methods, secant updates, or modification methods. Newton's method is the classical method for the problem (1) and quasi-Newton methods have been proposed to circumvent computational disadvantages of Newton's method.(omitted)

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