• Title/Summary/Keyword: 4-방정식

Search Result 2,454, Processing Time 0.033 seconds

Constitutive equations for curing epoxy resins (경화중의 에폭시레진에 대한 구성방정식)

  • Hahn, H. T.
    • Journal of the korean Society of Automotive Engineers
    • /
    • v.6 no.4
    • /
    • pp.29-35
    • /
    • 1984
  • 에폭시 레진이 경화될 때 이들의 기계적 성질의 변화는 지금까지 주로 실험과 실험식에 의하여 구하여졌다. 근간에 이들의 변화를 이론적으로 구하기 위한 구성방정식이 본 발표자에 의하여 발표되었으나 실험데이터와 구성방정식 상호간의 정량적 관계가 정립되지는 못하였다. 본 연구 에서는 세 종류의 시료, 즉 Epon 815/V140, Epon 820/Z와 DER 332가 경화될 때 이들의 기계적 성질을 구성방정식을 사용하여 구하여 초음파 방법으로 측정된 실험 결과와 비교검토함으로써 에폭시 레진의 경화에 따른 기계적 성질들의 대부분을 제안된 구성 방정식으로 구할 수 있음을 보였다.

  • PDF

Some Remarks on the Solution of the DMZ Equation (DMZ 방정식의 해에 관한 연구)

  • 김홍양
    • Proceedings of the Korea Institutes of Information Security and Cryptology Conference
    • /
    • 1992.11a
    • /
    • pp.267-275
    • /
    • 1992
  • 비선형 체계의 상태 추정량은 H4Z(Ducan - Mortensen - Zakai) 방정식(Runggaldier, Spizzichino: 1987)의 해를 구함으로써 얻어 진다. 일반 비선형 체계의 DMZ 방정식의 해를 구하기는 어렵다. 계산 가능한 "유한 차원"의 DMZ 방정식의 해를 제공하는 체계의 족(class)은 이론 및 실제 응용에 중요하다. 본 연구에서는"마코비안 도약 선형 체계(Marcovian Jump Linear System: MJLS)"의 DMZ 방정식이 유한 차원의 해를 가지는 것을 증명하였다.

  • PDF

Study on the teaching of quadratic equation through proportions in a dynamic environment (역동적 기하 환경에서 비례를 이용한 이차방정식의 지도)

  • Lew, Hee Chan;Yoon, Okyo
    • School Mathematics
    • /
    • v.14 no.4
    • /
    • pp.565-577
    • /
    • 2012
  • In this study, we investigated the process of constructing the geometrical solutions to quadratic equation, through proportions between lengths of similar triangles in a dynamic environment. To do this, we provided one task to 4 ninth grades students and observed the process of the students' activities and strategies. As a result of this pilot lesson study, our research shows the advantage and possibility of geometrical method in learning and teaching quadratic equation.

  • PDF

A Constitutive Equation Including Strain Rate Effect for the Expanded Polypropylene (변형률 속도가 고려된 발포 폴리프로필렌의 구성방정식)

  • Kim, Han-Kook;Cheon, Seong S.
    • Composites Research
    • /
    • v.27 no.4
    • /
    • pp.130-134
    • /
    • 2014
  • The purpose of this paper is to build DB in order to Propose new constitutive equations by redefining constitutive equations for Polyurethane presented by Jeong et al. [12] based on Quasi-static test and Impact test DB of Expanded polypropylene using cylindrical specimens with 4 different densities presentsd by Kim et al. [7] for EPP foam and combining the impulse-momentum theory.

A Comparative Study of Two-Dimensional Numerical Models for Surface Discharge of Heated Water into Crossflow Field (가로흐름 수역으로 방출되는 2차원 표면온배수 수치모형 비교연구)

  • 이남주;최흥식;이길성
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.6 no.1
    • /
    • pp.40-50
    • /
    • 1994
  • For an accurate prediction of the temperature field induced by heated water discharged into a shallow crossflow, a two-dimensional near-field numerical model is developed. It is based on a 4-equation turbulence model in which the transport equations for mean of the temperature fluctuation squared and its dissipation rate are added to those of a 2-equation turbulence model which cannot give the information of the thermal time scale ratio. Vertical diffusion is also considered by including buoyancy production and turbulence heat flux terms. The developed model is applied to a steady flow in an open channel with simple geometry and the results are compared with existing experimental data and those of the already established 2-equation turbulence model. Numerical results of the model agree with the experimental data better than those of the 2-equation model. The present model also simulates quite adequately the physical characteristics of thermal discharge in the jet entrainment and stable regions.

  • PDF

A Study on the Elastic Wave Velocity of Magnetostrictive Materials (자왜 재료의 탄성파 속도에 관한 연구)

  • 강국진;노용래
    • The Journal of the Acoustical Society of Korea
    • /
    • v.20 no.4
    • /
    • pp.54-61
    • /
    • 2001
  • Magnetostrictive materials have nonlinear elasto-magnetic properties. However the constitutive equations to describe the nonlinear properties are not available, yet. In this study we develope the equation in magnetostrictive materials by use of piezomagnetic constitutive equation which is quasi-linearized. With the wave equation, we determine the propagation velocity inside the magnetostrictive materials when a plane wave propagates along a given magnetic field. Validity of the calculated velocity is verified through comparison with experimental velocity measurement results for the most representative magnetostrictive materials. Terfenol-D.

  • PDF

Parallel Computation of Elliptic Partial Differential Equation on MP-2 (MP-2에서의 타원형 편미분 방정식 병렬계산)

  • Kim, Hyoung-Joong;Lee, Yong-Ho
    • Journal of Industrial Technology
    • /
    • v.14
    • /
    • pp.19-28
    • /
    • 1994
  • We can get a tridiagonal block Toeplitz linear system by the finite difference approximation of 2-D Poisson equation. To exploit the nice property of this linear equation, we transform the equation into a Lyapunov equation and apply DST (discrete sine transform) to get diagonal matrix based Lyapunov equation. DST can be performed using FFT, which enables high-speed computaion. All the computations are performed on an SIMD parallel computer, the MasPar MP-2 with 4,096 processing elements. In this paper, parallel algorithm, mapping method of the algorithm onto the MP-2, and timing results are presented.

  • PDF

Derivation and Numerical Verification of Harmonic Oscillatory Description of Ferromagnetic Vortex Motion (강자기 소용돌이의 단조화 운동 유도 및 수치 검증)

  • Kim, Jun-Yeon;Choe, Sug-Bong
    • Journal of the Korean Magnetics Society
    • /
    • v.18 no.4
    • /
    • pp.127-130
    • /
    • 2008
  • We report a theoretical description of ferromagnetic vortex motion in sub-micrometer size magnetic thin film. Based on Thiele's equation combined with later theoretical achievements, we derive the analytic description of dynamics of ferromagnetic vortex core as a damped harmonic oscillatory motion. Consequently, the relations about frequency and damping constant in damped harmonic oscillation are presented. The validity of the results is verified through micromagnetic simulation.

A Comparative Study of 2-Dimensional Turbulence Models for Thermal Discharge (2차원 온배수 난류모형의 비교연구)

  • Choi, Hung-Sik
    • Journal of Korea Water Resources Association
    • /
    • v.32 no.3
    • /
    • pp.225-235
    • /
    • 1999
  • For a comparative evaluation of three turbulence models in the analyses of thermal discharge behavior into a crossflow, a 2-dimemsional near-field numerical model is developed. The selected models are k-$\varepsilon$ and k-ι turbulence models as a 2-equation turbulence model and a 4-equation turbulence model in which the transport equations for mean of the temperature fluctuation squared and its dissipation rate for the consideration of buoyancy production and turbulent heat flux terms are added to a k-$\varepsilon$ turbulence model. The developed models are applied to a steady flow in an open channel with simple geometry and the numerical results agree with the existing experimental data. Numerical results of buoyancy induced gravitational lateral spreading by 4-equation turbulence model agree with the experimental data better than those of 2-quation turbulence models. The flow patterns by 4 and 2-equation turbulence models are similar.

  • PDF

Dynamic Characteristic Analysis by using Electric Circuit Parameter Extracted from Distributed Electromagnetic Systems (분포정수 전자기시스템에서 추출된 전기회로 상수를 이용한 동특성 해석)

  • Shin, Yu-Jeong;Han, Sang-Joon;Lee, Se-Hee;Park, Il-Han
    • Proceedings of the KIEE Conference
    • /
    • 2002.11d
    • /
    • pp.103-105
    • /
    • 2002
  • 전기-기계 결합시스템에서의 동특성을 정확히 해석하기 위해서는 해석모델의 전기회로 방정식과 운동방정식이 함께 고려되어야 한다. 이때 시스템의 다양한 입력과 기하학적인 구조 등에 대한 등가회로 상수는 시스템의 전반적인 특성에 매우 민감하게 작용하므로 중요하게 고려 되어야한다. 본 논문에서는 전자기시스템의 회로상수를 미리 계산한 다음 이를 기계 역학시스템에 적용하여 다양한 전기적 입력과 외부 부하특성에 대하여 어떻게 동작하는지를 알아보았다. 전자기시스템의 회로상수 추출을 위해 전자장해석은 유한요소법을 이용하였으며 전기회로 방정식과 운동방정식이 함께 고려된 상태 미분방정식은 4차 Runge-Kutta 미분방정식 해법을 이용하여 운동특성을 해석하였다. 계산된 결과는 수학적으로 검증된 미분방정식과 비교하여 검증하였다.

  • PDF