• 제목/요약/키워드: suggested equation

검색결과 1,507건 처리시간 0.023초

차체용 강판의 온도에 따른 동적 구성방정식에 관한 연구 (II) - 온도에 따른 동적 구성방정식 - (Dynamic Constitutive Equations of Auto-body Steel Sheets with the Variation of Temperature (II) - Flow Stress Constitutive Equation -)

  • 이희종;송정한;박성호;허훈
    • 대한기계학회논문집A
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    • 제31권2호
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    • pp.182-189
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    • 2007
  • This paper is concerned with the empirical flow stress constitutive equation of steel sheets for an auto-body with the variation of temperature and strain rate. In order to represent the strain rate and temperature dependent behavior of the flow stress at the intermediate strain rates accurately, an empirical hardening equation is suggested by modifying the well-known Khan-Huang-Liang model. The temperature and strain rate dependent sensitivity of the flow stress at the intermediate strain rate is considered in the hardening equation by coupling the strain, the strain rate and the temperature. The hardening equation suggested gives good correlation with experimental results at various intermediate strain rates and temperatures. In order to verify the effectiveness and accuracy of the suggested model quantitatively, the standard deviation of the fitted result from the experimental one is compared with those of the other two well-known empirical constitutive models such as the Johnson-Cook and the Khan-Huang-Liang models. The comparison demonstrates that the suggested model gives relatively well description of experimental results at various strain rates and temperatures.

Modified Equation for Predicting the Radius of Assembled Superstructures Made of Nanowires Including Polypyrrole Segment of All Length Scales

  • Lim, Jong-Kuk
    • Bulletin of the Korean Chemical Society
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    • 제33권8호
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    • pp.2699-2702
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    • 2012
  • Gold-polypyrrole segment nanowires prepared using anodized aluminum oxide templates can be assembled into a curved superstructure that shows stimuli-induced contraction and expansion. The radius of the superstructures can be predicted using the simple equation suggested by J. K. Lim et al. (Nano Lett. 8, 4441 (2008)). The suggested equation, however, is valid only within the limiting condition in that the length of the polypyrrole segment is comparable to, or much longer than the gold segment. In this study, the original equation was modified to a new equation that is valid for all length scales of polypyrrole segments. The radius of the superstructures calculated using the modified equation was compared with the result calculated by the original equation, and the validity of the modified equation is discussed.

Machine learning model for predicting ultimate capacity of FRP-reinforced normal strength concrete structural elements

  • Selmi, Abdellatif;Ali, Raza
    • Structural Engineering and Mechanics
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    • 제85권3호
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    • pp.315-335
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    • 2023
  • Limited studies are available on the mathematical estimates of the compressive strength (CS) of glass fiber-embedded polymer (glass-FRP) compressive elements. The present study has endeavored to estimate the CS of glass-FRP normal strength concrete (NSTC) compression elements (glass-FRP-NSTC) employing two various methodologies; mathematical modeling and artificial neural networks (ANNs). The dataset of 288 glass-FRP-NSTC compression elements was constructed from the various testing investigations available in the literature. Diverse equations for CS of glass-FRP-NSTC compression elements suggested in the previous research studies were evaluated employing the constructed dataset to examine their correctness. A new mathematical equation for the CS of glass-FRP-NSTC compression elements was put forwarded employing the procedures of curve-fitting and general regression in MATLAB. The newly suggested ANN equation was calibrated for various hidden layers and neurons to secure the optimized estimates. The suggested equations reported a good correlation among themselves and presented precise estimates compared with the estimates of the equations available in the literature with R2= 0.769, and R2 =0.9702 for the mathematical and ANN equations, respectively. The statistical comparison of diverse factors for the estimates of the projected equations also authenticated their high correctness for apprehending the CS of glass-FRP-NSTC compression elements. A broad parametric examination employing the projected ANN equation was also performed to examine the effect of diverse factors of the glass-FRP-NSTC compression elements.

이종 구조에서 위치의 함수로 표시된 효과질량을 포함하는 Schrodinger 방정식을 위치에 무관한 효과질량을 포함하는 방정식으로 변환하는 방법 및 그 응용 (Method of converting schrodinger equation for heterostructures with a positon-dependent effective mass to the equation with a position-independent effective mass and its appliations)

  • 이병호;이욱
    • 전자공학회논문지A
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    • 제33A권7호
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    • pp.223-229
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    • 1996
  • a simpel coordinate transformaton method is suggested that converts Schr$\"{o}$dinger's equation involving a position-dependent effective mass in a heterostructure to an equation involving a positon-independent effective mass. This method enables the conceptual study of the effect of the positon-dependent effective mass inserted between the divergence operator and the gradient operator in Schr$\"{o}$dinger's equation. It is also shown that the characteristics such as a transmission coefficient in various heterostructures involving a position-dependent effective masses can be obtained iwth ease by the suggested method.

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되메움 공간의 상재하중 영향평가에 관한 연구 (Evaluation of Surcharge toads Acting in Backfilled Space)

  • 문창열;김희동;최헌
    • 한국지반공학회논문집
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    • 제20권9호
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    • pp.167-176
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    • 2004
  • 지중에 매설되는 구조물은 매설된 후 교통하중등의 외부하중을 추가로 부담하게 된다. Terzaghi(1956) 는 수직하게 형성된 되메움 상태의 상재하중 영향을 산출하는 이론식을 제안한 바 있다. 그러나 현장에서는 되메움 공간 형태가 수직하게만 형성되지 않으며, 수직하지 않은 공간을 취하는 경우에는 그 경계조건이 부합되지 않아 사용이 적합하지 않다. 본 연구에서는 되메움 공간 형태가 대칭적으로 경사지며 되메움 후 상재하중이 작용될 경우, 상재하중에 의한 되메움 공간에서의 응력의 크기를 산출하는 이론식을 제안하였다. 제안된 이론식은 실내모형 탄소봉실험과 수치해석을 수행하여 이를 검증하고자 하였다. 연구결과에 따르면 제안된 이론식은 실험결과와 매우 유사한 결과를 나타냈으나 수치해석과는 다소 상이한 결과를 보였다. 이는 탄소봉으로 조성한 지반이 하중증가에 따라 다소 조밀하여지면서 내부마찰각의 증가와 이에 따른 벽면 마찰의 증가가 발생되었음에 비추어 수치해석상에는 반영될 수 없는 점이 그 차이를 나타내는 결과로 사료된다. 되메움 지반이 경사진 경우에 대하여 제안된 이론식은 수직한 되메움 공간의 형태에 적용시켰을 경우 Terzaghi(1956)의 이론식과는 동일한 결과를 나타냈다. 본 연구의 결과를 살펴보았을 때 제안된 이론식은 적용이 가능한 것으로 사료되며 또한 수직한 공간에 대한 적용 역시 가능한 것으로 판단된다. 그러나 본 연구에서는 실내모형 탄소봉실험이므로 실대형 실험을 통한 검증이 요구되어진다 하겠다.

논 물꼬관리 기법 적용에 따른 원단위 삭감부하량 산정식 평가 (Assessing the Unit Load Reduction Equation of Drainage Outlet Raising Management in Paddy Fields)

  • 김동현;오흥근;장태일;함종화
    • 한국농공학회논문집
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    • 제65권2호
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    • pp.35-45
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    • 2023
  • The DOR (Drainage outlet raising) in the paddy field has been suggested as one of the most important best management practices for the TMDL (Total maximum daily load) management in the technical guidelines by the NIER (National institute of environmental research). However, this method is underestimated and is not well adopted by local governments for the TMDL. The purpose of this study is to evaluate the unit load reduction equation according to the application of DOR in order to expand this equation. The original equation in the guideline was derived using the HSPF (Hydrological Simulation Program-Fortran) model for 1 year in Changnyeong. We analyzed the reduction effect of the original equation application by collecting additional long-term monitoring data from the Buan, Icheon, Iksan, and Jeonju. When comparing the reduction loads between the original equation and monitoring results, the evaluation results of the original equation were 11% of the monitoring analysis results, which was underestimated. This means that the original equation needs to be improved. For assessing the equation, the HSPF Paddy-RCH model was established according to the NI ER guideline and evaluated for applicability. The performance results of the model showed a reasonable range by the statistical criteria. Modified equations 1 and 2 were proposed based on the monitoring and modeling results. Modified equation 1 was the method of modifying the original equation's main factors, and modified equation 2 was the method of applying the non-point pollution reduction efficiency according to the rainfall class using the long-term modeling results. At the level of 58.6~64.6% of monitoring data, the difference between them could be further reduced compared to the original equation. The suggested approach will be more reasonable and practicable for decision-makers and will contribute to the TMDL management plans.

회로망 기반의 시간응답 해석에 따른 고전제어와 현대제어의 비교 연구 (Comparative Study on Classical Control and Modern Control via Analysis of Circuit-based Time Response)

  • 민용기
    • 한국전자통신학회논문지
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    • 제12권4호
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    • pp.575-584
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    • 2017
  • 제어시스템의 시간응답을 해석하기 위해 전기회로망을 제안한다. 전달함수와 상태방정식을 이용해 시스템의 시간응답을 계산함으로써 고전제어와 현대제어의 연계성을 분석한다. 상태천이방정식의 복잡한 적분과정을 생략하고, 상태천이행렬과 전달함수의 조합만으로도 시간응답의 해석이 가능함을 제시한다. 단위계단함수와 정현파입력에 따른 전압­전류의 출력응답을 표현하기 위해 프로그램을 코딩하였다. 단위계단입력에서는 과도응답을 해석하였으며, 정현파입력에서는 전압과 전류의 위상차를 해석하였다. 제안된 내용을 과도응답이나 상태공간에 기술함으로써 제어공학의 이해도와 설계능력을 높인다.

평면이방성 암석의 변형특성 모델연구 (A Model Study on Deformability of A Transversely Isotropic Rock)

  • 박철환;박의섭;박찬
    • 터널과지하공간
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    • 제18권4호
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    • pp.252-262
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    • 2008
  • 한 개의 평면이방성 시험편의 일축압축시험을 통하여 얻을 수 있는 변형률은 최대 4개이므로 5개의 독립적 탄성상수를 이론적으로 결정할 수 없다. 이런 문제를 해결하기 위하여 Saint Venant에 의하여 가정식이 제안되었는데 Lekhnitskii는 실험 경험을 통하여 이 식을 재확인하였다. 그러나 이 식은 열동력학적인 탄성상수를 얻기 어려우며, 실험에서 이의 적용에는 한계가 있음이 경험적으로 발견되었다. 이에 새로운 가정식을 제안하였으며, 설정된 평면이방성 암석의 모델에서 이러한 제안식들의 적합성을 검토하였다. 그 결과 Lekhnitskii의 제안식은 경사각이 큰 시험편에는 유효하지만 $25{\sim}30$도 이하에서는 참값과 큰 오차를 보이는 결과로 해석되어 적용의 한계성이 있음이 밝혀졌다. 3개의 제안식들은 유효성이 각각 다르게 나타나는데 적합성은 시험편의 경사각에 좌우되며 탄성상수의 크기에 거의 무관한 것으로 판명되었다. 시험편의 경사각에 따라 가정된 식을 선택해야하는 지침이 본 연구의 결과로 제공되었다.

A study on the prediction of tunnel crown and surface settlement in tunneling as a function of deformation modulus and overburden

  • Kim Seon-Hong;Moon Hyun-Koo
    • 한국지구물리탐사학회:학술대회논문집
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    • 한국지구물리탐사학회 2003년도 Proceedings of the international symposium on the fusion technology
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    • pp.129-141
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    • 2003
  • The precise prediction of ground displacement plays an important role in planning and constructing tunnels. In this study, an equation for predicting the surface and crown settlement is suggested by examining the theories of ground movement caused by tunnel excavation. From the 3D numerical modeling, the reinforcement effect of UAM (Umbrella Arch Method) is quantitatively analyzed with respect to deformation modulus and overburden. By using a regression technique for the numerical results, an equation for predicting the settlement is suggested.

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TWO-DIMENSIONAL RIEMANN PROBLEM FOR BURGERS' EQUATION

  • Yoon, Dae-Ki;Hwang, Woon-Jae
    • 대한수학회보
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    • 제45권1호
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    • pp.191-205
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    • 2008
  • In this paper, we construct the analytic solutions and numerical solutions for a two-dimensional Riemann problem for Burgers' equation. In order to construct the analytic solution, we use the characteristic analysis with the shock and rarefaction base points. We apply the composite scheme suggested by Liska and Wendroff to compute numerical solutions. The result is coincident with our analytic solution. This demonstrates that the composite scheme works pretty well for Burgers' equation despite of its simplicity.