• Title/Summary/Keyword: Secant method

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할선법과 모멘트의 고정점 알고리즘 독립성분분석에 의한 특징추출 (Feature Extraction Using Fixed-Point ICA of Secant Method and Moment)

  • 조용현;김아람;오정은;전윤희
    • 한국정보처리학회:학술대회논문집
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    • 한국정보처리학회 2003년도 춘계학술발표논문집 (중)
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    • pp.883-886
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    • 2003
  • 본 연구에서는 할선법과 모멘트의 고정점 알고리즘 독립성분분석을 이용하여 영상의 특징을 추출하는 기법을 제안하였다. 여기서 할선법은 독립성분 상호간의 정보를 최소화하기 위한 목적함수의 최적화 과정에서 요구되는 1차 미분에 따른 계산을 간략화하기 위함이고, 모멘트는 최적화 과정에서 발생하는 발진을 억제하여 보다 빠른 학습을 위함이다. 제안된 기법을 $256{\times}256$ 픽셀의 10개 지문영상에서 선택된 각각 10,000개의 3가지 영상패치들을 대상으로 적용한 결과, 제안된 기법은 뉴우턴법이나 할선법의 알고리즘 보다도 빠른 특징추출 속도가 있음을 확인하였다 한편 추출된 $16{\times}16$ 펙셀의 160개 독립성분 기저벡터 각각은 영상 각각에 포함된 공간적인 주파수 특성과 방향성을 가지는 경계 특성이 잘 드러나는 국부적인 특징들임을 확인하였다.

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On the Motion of the Structure Varying Multibody Systems with Two-Dimensional Dry Friction

  • Xie Fujie;Wolfs Peter;Cole Colin
    • Journal of Mechanical Science and Technology
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    • 제19권4호
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    • pp.927-935
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    • 2005
  • In the present paper the dynamics of the structure varying multibody systems caused by stick-slip motion with two-dimensional dry friction are analyzed. The methods to determine friction force both in stick and slip states are described. The direct method of considering the wagon bogie system as a structure varying system was used to consider two dimensional friction at the wheelset-side frame connection. The concept of friction direction angle used to determine the friction force components of two-dimensional dry friction both in the stick and slip motion states was used. A speed depended friction coefficient was used and described approximately by hyperbolic secant function. All switch conditions were derived and friction forces both for stick and slip states. Some simulation results are provided.

Vibration analysis of nonlocal strain gradient porous FG composite plates coupled by visco-elastic foundation based on DQM

  • Abdulrazzaq, Mohammed Abdulraoof;Muhammad, Ahmed K.;Kadhim, Zeyad D.;Faleh, Nadhim M.
    • Coupled systems mechanics
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    • 제9권3호
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    • pp.201-217
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    • 2020
  • This paper employs differential quadrature method (DQM) and nonlocal strain gradient theory (NSGT) for studying free vibrational characteristics of porous functionally graded (FG) nanoplates coupled by visco-elastic foundation. A secant function based refined plate theory is used for mathematical modeling of the nano-size plate. Two scale factors are included in the formulation for describing size influences based on NSGT. The material properties for FG plate are porosity-dependent and defined employing a modified power-law form. Visco-elastic foundation is presented based on three factors including a viscous layer and two elastic layers.The governing equations achieved by Hamilton's principle are solved implementing DQM. The nanoplate vibration is shown to be affected by porosity, temperature rise,scale factors and viscous damping.

경량혼합토의 도로 노상층 재료 사용 가능성 평가 (Evaluation of Lightweight Soil as a Subgrade Material)

  • 박대욱;보베이트하이
    • 한국도로학회논문집
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    • 제15권5호
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    • pp.57-64
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    • 2013
  • PURPOSES : It is to evaluate lightweight soil as a subgrade material based on mechanical tests and calculation of pavement performance. METHODS : In this research, various contents of cement and air foam are used to make lightweight soil using wasted dredged soil. Uniaxial compressive strength test is conducted to evaluate strength of 7 and 28 day cured specimens. Secant modulus was calculated based on the stress and strain relationship of uniaxial compressive strength test. Resilient modulus test was measured using by repeated triaxial compression test. The measured resilient modulus was used in layered elastic program to predict fatigue and rutting life at a given pavement structure. RESULTS : Uniaxial compressive strength increases as cement content increases but decrease as air foam content increases. Resilient modulus also increases as cement content increases and decrease as air foam content decrease. CONCLUSIONS : It is concluded that dredge clay soil can be used as subgrade layer material using by lightweight treated soil method.

할선법에 기초한 고정점 학습알고리즘의 독립성분분석 (Independent Component Analysis of Fixed Point Learning Algorithm Based on Secant Method)

  • 조용현;박용수
    • 한국멀티미디어학회:학술대회논문집
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    • 한국멀티미디어학회 2002년도 춘계학술발표논문집(상)
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    • pp.336-341
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    • 2002
  • 본 연구에서는 엔트로피 최적화를 위한 목적함수의 근을 구하기 위해 단순히 함수 값만을 이용하여 계산을 근사화한 할선법에 기초한 고정점 알고리즘의 독립성분분석 기법을 제안하였다. 이렇게 하면 기존의 뉴우턴법에 기초한 고정점 알고리즘에서 요구되는 복잡한 도함수의 계산과정을 간략화 할 수 있어 더 우수한 학습성능의 독립성분분석이 가능하다. 제안된 학습알고리즘의 독립성분분석 기법을 512$\times$512의 픽셀을 가지는 10개의 영상을 대상으로 임의의 혼합행렬에 따라 발생되는 혼합영상들을 실험하였다. 실험결과, 기존의 뉴우턴법에 기초한 고정점 알고리즘의 분석기법보다 빠른 학습속도와 개선된 분리성능이 있음을 확인하였다. 특히 기존의 알고리즘에서 임의로 설정되는 초기값에 덜 의존하는 학습성능이 있음도 확인할 수 있었다.

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Finite element modeling of reinforced and prestressed concrete panels under far-field blast loads using a smeared crack approach

  • Andac Lulec;Vahid Sadeghian;Frank J. Vecchio
    • Computers and Concrete
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    • 제33권6호
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    • pp.725-738
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    • 2024
  • This study presents a macro-modeling procedure for nonlinear finite element analysis of reinforced and prestressed concrete panels under blast loading. The analysis procedure treats cracked concrete as an orthotropic material based on a smeared rotating crack model within the context of total-load secant stiffness-based formulation. A direct time integration method compatible with the analysis formulation is adapted to solve the dynamic equation of motion. Considerations are made to account for strain rate effects. The analysis procedure is verified by modeling 14 blast tests from various sources reported in the literature including a blast simulation contest. The analysis results are compared against those obtained from experiments, simplified single-degree-of-freedom (SDOF) methods, and sophisticated hydrocodes. It is demonstrated that the smeared crack macro-modeling approach is a viable alternative analysis procedure that gives more information about the structural behavior than SDOF methods, but does not require detailed micro-modeling and extensive material characterization typically needed with hydrocodes.

Characterization of elastic modulus and fracture toughness of randomly oriented chopped glass fibers functionally graded materials

  • Sayed Mohammad Hossein Izadi;Mahdi Fakoor;Babak Mirzavand
    • Steel and Composite Structures
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    • 제53권1호
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    • pp.91-101
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    • 2024
  • A cost-effective fabrication method suitable for research purposes is proposed in this study. The elastic modulus of the fabricated functionally graded materials is evaluated and compared using two experimental methods: the three-point bending test and the tensile test, with a focus on the fiber volume fraction of the FGM layers. New methods for computing the elastic modulus are introduced, which are based on Castigliano's theorem and the secant modulus concept, incorporating the non-linear behavior of the material. Additionally, the mode I fracture toughness of the FGM layers is measured accurately using the three-point bending test and finite element analysis, and the influence of varying fiber volume fractions on this parameter is investigated through statistical analysis. Results indicate that while an increase in fiber volume fraction correlates with a rise in elastic modulus, it does not necessarily lead to an enhancement in mode I fracture toughness, highlighting the complex interactions between material composition and mechanical properties.

LWDT와 Geogauge를 이용한 성토지반의 다짐관리 현장적용성 평가 (Applicability Estimation Compaction Method of Embankment using LWDT and Geogauge)

  • 임성윤;송호성;류희룡
    • 한국농공학회논문집
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    • 제58권4호
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    • pp.85-95
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    • 2016
  • PBT (Plate Bearing Test) is a commonly used compaction estimation used to provide basal support for embankments. This study presents the results from experimental evaluations PBT, LWDT (Light Drop Weight Tester) test and Geogauge test with embankment materials which consist in sandy soil, crushed stone and rock. The results of this study indicate that the regression analyze results (r) from test results between Young's modulus and $k_{30}$, $E_v$ are 0.385 and 0.111~0.496, estimated very lack of correlation. The Geogauge is frequency vibration from machine to underground. Geogauge can not measure to accuracy test results when it is used on ground of the rock or crushed stone. The regression analyze results (r) from $E_v$ and Dynamic modulus are 0.502~0.847, different estimated by calculate method, as it were, when calculate $E_v$, least square method are appeared more accuracy than gradient of secant.

2종류 또는 3종류의 흙으로 뒷채움이 구성될 경우의 정적 및 동적 수평주동토압합력 예측 (A Prediction of the Static and Dynamic Horizontal Active Thrusts Exerted by a Backfill Consisting of Two or Three Layers of Different Properties)

  • 김홍택;강인규
    • 대한토목학회논문집
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    • 제11권2호
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    • pp.65-76
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    • 1991
  • 본 연구에서는, 서로 다른 토질정수를 지닌 2종류 또는 3종류의 흙으로 뒷채움이 구성되는 다양한 경우에, 내진설계를 포함한 실제의 옹벽 설계에서 요구되는 토압예측을 위한 시도가 이루어 졌다. 이를 위해, Mononobe-Okabe해석법 및 secant방법이 이용되었다. 제시된 해석방법을 토대로 2종류의 흙으로 뒷채움이 구성되는 경우에 효율적인 구성형태에 관련된 분석이 이루어 졌다. 아울러 2종류 또는 3종류의 흙으로 뒷채움이 구성된 설계예를 통해, 어느 특정층의 토질정수를 토대로 토압예측이 이루어지는 경우에 예상되는 문제점 분석이 이루어 졌다.

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Inelastic large deflection analysis of space steel frames consisting of I-shaped cross section

  • ElSabbagh, Ashraf;Hanefa, Ahmed;Zubydan, Ahmed;ElGhandour, Mohamed;Sharaf, Tarek
    • Steel and Composite Structures
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    • 제41권6호
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    • pp.887-898
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    • 2021
  • This paper presents a simplified model to capture the nonlinear behavior of steel frames depending on the spread of plasticity method. New interaction formulae were derived to evaluate the plastic strength for I-shaped steel sections under uniaxial bending moment and axial compression load. Also, new empirical formulae were derived to evaluate the tangent stiffness modulus of steel I-shaped cross-sections considering the effect of the residual stresses suggested by the specifications in European Convention for Construction Steelworks (ECCS). The secant stiffness which depends on the tangent modulus is used to evaluate the internal forces. Based on stiffness matrix method, a finite element analysis program was developed for the nonlinear analysis of space steel frames using the derived formulae. Comparison between the proposed model results with those given by the fiber model shows very good agreement. Numerical examples were introduced to verify, check the accuracy, and evaluate the efficiency of the proposed model. The analysis results show that the new proposed model is accurate and able to minimize the solution time.