• Title/Summary/Keyword: suggested equation

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

  • Lee, Hee-Jong;Song, Jung-Han;Park, Sung-Ho;Huh, Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.2 s.257
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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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    • v.33 no.8
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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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    • v.85 no.3
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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.

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 (이종 구조에서 위치의 함수로 표시된 효과질량을 포함하는 Schrodinger 방정식을 위치에 무관한 효과질량을 포함하는 방정식으로 변환하는 방법 및 그 응용)

  • Lee, Byoung-Ho;Lee, Wook
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.33A no.7
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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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Evaluation of Surcharge toads Acting in Backfilled Space (되메움 공간의 상재하중 영향평가에 관한 연구)

  • Moon Chang-Yeul;Kim Hee-Dong;Choi Heon
    • Journal of the Korean Geotechnical Society
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    • v.20 no.9
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    • pp.167-176
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    • 2004
  • Underground structures will be affected by the additional surcharge loads such as traffic load et al. Terzaghi (1956) suggested the equation on the influences of surcharge loads in vertically backfilled spaces. In field, the shapes of backfill spaces are not always formed vertically. Then the Terzagi (1956) equation is not suitable to use because of boundary condition. This study suggests equation to calculate the stress in backfilled space caused by surcharge loads when the backfilled space is sloped symmetrically. The suggested equation is verified by carbon box test and numerical analysis. The experimental results show good agreement with the suggested equation but the numerical analysis result shows a little disagreement. The differences are estimated to be caused by the fact that ground made by carbon rod has become more dense and internal frction and wall friction has increased itself as surcharge load is added but that this increase can not be considered in the numerical analysis. The suggested equation shows good agreement with Terzaghi (1956) equation in case of sloped backfill ground. According to the results, it is considered that the suggested equation can be applied not only to sloped space but also to vertical space. Further investigation using full scale experiment is needed.

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

  • Kim, Dong-Hyeon;Oh, Heung-Keun;Jang, Taeil;Ham, Jong-Hwa
    • Journal of The Korean Society of Agricultural Engineers
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    • v.65 no.2
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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.

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

  • Min, Yong-Ki
    • The Journal of the Korea institute of electronic communication sciences
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    • v.12 no.4
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    • pp.575-584
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    • 2017
  • It is suggested the circuit network to analyze the time response of control system. And it is analyzed the interrelation for classical control and modern control by the transfer function and the state equation. Without complicated integration of state transition equation, it is suggested to possible time response by combining the state transition matrix and the transfer function. A source program is coded to display the time response according to the unit-step and the sinusoidal input. Transient response is analyzed in the unit-step input and phase difference between current and voltage is analyzed in sinusoidal input. As writing the suggested contents in transient response or state-space analysis, it is improved the understanding for control engineering and ability for system design.

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

  • Park, Chul-Whan;Park, Eui-Seob;Park, Chan
    • Tunnel and Underground Space
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    • v.18 no.4
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    • pp.252-262
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    • 2008
  • In the uniaxial compressive test of a single specimen of transversely isotropic rock, its 5 independent elastic constants can not be defined since maximum 4 independent strain measurements are available theoretically. In order to solve this problem, one equation proposed by Saint Venant in 19C and confirmed by Lekhnitskii through the test experiences has been used for long time. Accordign to authors' experiences, however, this equation turned out to give erroneous elastic constants in some cases. Three new equations are suggested and their compatibilities are discussed in this paper. As the results of the analyses of the models, Lekhnitskii's suggested equation is effective for the specimen with the high dip angle whereas it results in the large erred output for that with dip angle less than $25{\sim}30$. It was found that the effectivenesses of three suggested equations and their compatibilities are subject to the dip angle and not to the amounts of elastic constants. Guide map to the selection of the compatible one of those suggested equations is presented as a result of the study.

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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    • 2003.11a
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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
    • Bulletin of the Korean Mathematical Society
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    • v.45 no.1
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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.