• Title/Summary/Keyword: Force approximation

Search Result 136, Processing Time 0.025 seconds

Experimental Assessment of Numerical Models for Reinforced Concrete Shear Walls with Deficient Details (결함 상세를 포함하는 철근콘크리트 전단벽의 수치 모델에 관한 실험적 평가)

  • Jeon, Seong-Ha;Park, Ji-Hun
    • Journal of the Earthquake Engineering Society of Korea
    • /
    • v.20 no.4
    • /
    • pp.211-222
    • /
    • 2016
  • Reinforced concrete shear walls with deficient reinforcement details are tested under cyclic loading. The deficiency of reinforcement details includes insufficient splice length in U-stirrups at the ends of horizontal reinforcement and boundary column dowel bars found in existing low- to mid-rise Korean buildings designed non-seismically. Three test specimens have rectangular, babel and flanged sections, respectively. Flexure- and shear-controlled models for reinforced concrete shear walls specified in ASCE/SEI 41-13 are compared with the flexural and shear components of force-displacement relation extracted separately from the top displacement of the specimen based on the displacement data measured at diverse locations. Modification of the shear wall models in ASCE/SEI 41-13 is proposed in order to account for the effect of bar slip, cracking loads in flexure and shear. The proposed modification shows better approximation of the test results compared to the original models.

Evaluation of the Cochlear Electrode Behavior in the 3D Human Cochlea Model by FEM Analysis (3차원 달팽이관 모델에서의 인공와우 전극의 거동에 대한 유한요소해석)

  • 임윤섭;박세익;김용협;오승하;김성준
    • Journal of Biomedical Engineering Research
    • /
    • v.25 no.3
    • /
    • pp.207-215
    • /
    • 2004
  • A finite element analysis is used in this study to model 6 kinds of electrode by a genetic program in order to evaluate the mechanical effect on the 3D human cochlea model and the behavior of electrode. Human cochlea is modeled by the spiral-approximation method and the shape of scala tympani is extracted from the mid section of the human cochlea. Contact pressure at the tip and the insertion force are found to be highest when the wires stack horizontally. Axial rotation of electrode is minimal comparing with the stimulating current spread. The results indicate that the electrode stiffness is important to minimize the trauma.

Unsteady Analysis of the Conduction-Dominated Three-Dimensional Close-Contact Melting (열전도가 주도적인 삼차원 접촉융해에 대한 비정상 해석)

  • Yoo, Hoseon
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.23 no.8
    • /
    • pp.945-956
    • /
    • 1999
  • This work reports a set of approximate analytical solutions describing the initial transient process of close-contact melting between a rectangular parallelepiped solid and a flat plate on which either constant temperature or constant heat flux is imposed. Not only relative motion of the solid block tangential to the heating plate, but also the density difference between the solid and liquid phase is incorporated in the model. The thin film approximation reduces the force balance between the solid weight and liquid pressure, and the energy balance at the melting front into a simultaneous ordinary differential equation system. The normalized model equations admit compactly expressed analytical solutions which include the already approved two-dimensional solutions as a subset. In particular, the normalized liquid film thickness is independent of all pertinent parameters, thereby facilitating to define the transition period of close-contact melting. A unique behavior of the solid descending velocity due to the density difference is also resolved by the present solution. A new geometric function which alone represents the three-dimensional effect is introduced, and its properties are clarified. One of the representative results is that heat transfer is at least enhanced at the expense of the increase in friction as the cross-sectional shape deviates from the square under the same contact area.

Development of four-equation turbulence model for prediction of mixed convective heat transfer on a flat plate (수평평판위 의 혼합대류 열전말 계산 을 위한 4-방정식 모델 의 개발)

  • 성형진;정명균
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.7 no.2
    • /
    • pp.193-203
    • /
    • 1983
  • The mixed convective heat transfer problems are characterized by the relatively significant contribution of buoyancy force to the transport processes of momentum and heat. Past analytical studies on this kind of problems have been carried out by employing either the conventional R-.epsilon. turbulence model which includes constant turbulent Prandtl number .sigma.$_{+}$ 1 or an extended R-.epsilon. turbulence model which takes account of the buoyancy effect in appropriate length scale equations. But in the latter case, the temperature variance .the+a.$^{2}$ over bar is approximated by a model under local equilibrium condition and the time scale ratio between velocity and temperature is assumed to be constant. These approximation is known to break down when the buoyancy effect is dominant. The present study is aimed at development of new computational turbulence closure level which can be applied to this rather complex turbulent process. The temperature variance is obtained directly by solving its dynamic transport equation and the time scale ratio which is variable in space is computed by a solution of a dynamic equation for the rate of scalar dissipation .epsilon.$_{\thetod}$ It was found that the computational results are in good agreement with available experimental data of wide range of unstable conditions.

FINITE-DIFFERENCE BISECTION ALGORITHMS FOR FREE BOUNDARIES OF AMERICAN OPTIONS

  • Kang, Sunbu;Kim, Taekkeun;Kwon, Yonghoon
    • Journal of the Korean Society for Industrial and Applied Mathematics
    • /
    • v.19 no.1
    • /
    • pp.1-21
    • /
    • 2015
  • This paper presents two algorithms based on the Jamshidian equation which is from the Black-Scholes partial differential equation. The first algorithm is for American call options and the second one is for American put options. They compute numerically free boundary and then option price, iteratively, because the free boundary and the option price are coupled implicitly. By the upwind finite-difference scheme, we discretize the Jamshidian equation with respect to asset variable s and set up a linear system whose solution is an approximation to the option value. Using the property that the coefficient matrix of this linear system is an M-matrix, we prove several theorems in order to formulate a bisection method, which generates a sequence of intervals converging to the fixed interval containing the free boundary value with error bound h. These algorithms have the accuracy of O(k + h), where k and h are step sizes of variables t and s, respectively. We prove that they are unconditionally stable. We applied our algorithms for a series of numerical experiments and compared them with other algorithms. Our algorithms are efficient and applicable to options with such constraints as r > d, $r{\leq}d$, long-time or short-time maturity T.

Nucleation and Growth of Vacancy Agglomeration in CZ Silicon Crystals

  • Ogawa, Tomoya;Ma, Minya
    • Proceedings of the Korea Association of Crystal Growth Conference
    • /
    • 1999.06a
    • /
    • pp.45-49
    • /
    • 1999
  • When concentration of vacancies in a CZ silicon crystal is defined by molar fraction XB, the degree of super-saturation $\sigma$ is given by [XB-XBS]/XBS=XB/XBS-1=ln (XB/XBS) because XB/XBS is nearly equal to unity. Here, XBS is the saturated concentration of vacancies in a silicon crystal and XB is a little larger than XBS. According to Bragg-Williams approximation, the chemical potential of the vacancies in the crystal is given by ${\mu}$B=${\mu}$0+RT ln XB+RT ln ${\gamma}$, where R is the gas constant, T is temperature, ${\mu}$0 is an ideal chemical potential of the vacancies and ${\gamma}$ is an adjustable parameter similar to the activity of solute in a solution. Thus, $\sigma$(T) is equal to (${\mu}$B-${\mu}$BS)/RT. Driving force of nucleation of the vacancy agglomeration will be proportional to the chemical potential difference (${\mu}$B-${\mu}$BS) or $\sigma$(T), while growth of the vacancy agglomeration is proportional to diffusion of the vacancies and grad ${\mu}$B.

  • PDF

CAE Analysis of $SF_6$ Arc Plasma for a Gas Circuit Breaker Design (가스차단기 최적설계를 위한 $SF_6$ 아크 플라즈마 CAE 해석)

  • Lee Jong C.;Ahn Heui-Sub;Kim Youn J.
    • Proceedings of the KSME Conference
    • /
    • 2002.08a
    • /
    • pp.365-368
    • /
    • 2002
  • The design of industrial arc plasma systems is still largely based on trial and error although the situation is rapidly improving because of the available computational power at a cost which is still fast coming down. The desire to predict the behavior of arc plasma system, thus reducing the development cost, has been the motivation of arc research. To interrupt fault current, the most enormous duty of a circuit breaker, is achieved by separating two contacts in a interruption medium, $SF_{6}$ gas or air etc., and arc plasma is inevitably established between the contacts. The arc must be controlled and interrupted at an appropriate current zero. In order to analyze arc behavior in $SF_{6}$ gas circuit breakers, a numerical calculation method combined with flow field and electromagnetic field has been developed. The method has been applied to model arc generated in the Aachen nozzle and compared the results with the experimental results. Next, we have simulated the unsteady flow characteristics to be induced by arcing of AC cycle, and conformed that the method can predict arc behavior in account of thermal transport to $SF_{6}$ gas around the arc, such as increase of arc voltage near current zero and dependency of arc radius on arc current to maintain constant arc current density.

  • PDF

An Analytical Solution for the Unsteady Close-Contact Melting by Convective Heating (대류가열 비정상 접촉융해에 대한 해석해)

  • Yoo, Ho-Seon
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.24 no.3
    • /
    • pp.450-458
    • /
    • 2000
  • This study deals with the unsteady close-contact melting of solid blocks on a flat surface subject to convective heating. Normalizing the model equations in reference to the steady solution successfully leads them to cover constant heat flux and isothermal limits at small and large extremes of the Biot number, respectively. The resulting equations admit a compactly expressed analytical solution, which includes the previous solutions as a subset. Based on the steady solution, the characteristics of close-contact melting can be categorized into constant heat flux, transition, and isothermal regimes, the boundaries of which appear to be nearly independent of the contact force. The unsteady solutions corresponding to Biot numbers in the transition regime show intermediate behaviors between those of the two limits. With a proper approximation, the present solution procedure can cope with the case of variable fluid temperature and heat transfer coefficient. Regardless of imposed conditions, the mean normalized Nusselt number during the unsteady process asymptotically approaches to a constant value as the Biot number comes close to each limit.

Multilevel Multiobjective Optimization for Structures (다단계 다목적함수 최적화를 이용한 구조물의 최적설계)

  • 한상훈;최홍식
    • Computational Structural Engineering
    • /
    • v.7 no.1
    • /
    • pp.117-124
    • /
    • 1994
  • Multi-level Multi-objective optimization(MLMO) for reinforced concrete framed structure is performed, and compared with the results of single-level single-objective optimization. MLMO method allows flexibility to meet the design needs such as deflection and cost of structures using weighting factors. Using Multi-level formulation, the numbers of constraints and variables are reduced at each levels, and the optimization formulation becomes simplified. The force approximation method is used to reflect the variation in design variables between the substructures, and thus coupling is maintained. And the linear approximated constraints and objective function are used to reduce the number of structural analysis in optimization process. It is shown that the developed algorithm with move limit can converge effectively to optimal solution.

  • PDF

Geometric Effects on Pressure Distribution on Mechanical Face seals (기계평면시일의 기하학적 형태가 압력분포에 미치는 영향에 관한 연구)

  • 김청균;이일권;서태석
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
    • /
    • 1989.06b
    • /
    • pp.35-47
    • /
    • 1989
  • 누설방지를 목적으로 산업용 기계에서 많이 사용되고 있는 기계평면시일(mechanical face seal)은 기능상 높은 신뢰도를 요구하고 있다. 이를 위하여 동적 안정성이 커야되고, 밀봉된 유체의 누설을 최소화시킬 수 있는 정도에서 시일의 수명을 결정해야 한다. 이와같이 상반된 성질을 동시에 만족시키기 위하여 시일 성능에 영향을 미칠 수 있는 기하학적 요인들을 고려하여 해석해야 한다. 일반적으로 미끄럼 접촉운동을 하고 있는 시일에서 시일링 간극(sealing gap)이 수 micron 단위라는 점을 고려할때 시일 조립시 중심맞추기(alignnment) 정미\ulcorner 결여 및 회전축의 자중량 등에 의한 기계적 변형(mechanical distortion), 특히 고온의 분위기에서 작동되고 있는 시일의 열변형(thermal distortion)은 시일의 경사집에 커다란 영햐을 주고 있다. 또한 누설을 최소화시킬 목적으로 시일 링(seal ring) 을 시일의 경사짐에 커다란 영향을 주고 있는 스프링의 강성도를 증가시키면 상대 미끄럼 운동을 하고 있는 접촉명이 건조마찰에 의한 마멸이 진행되어 코닝(coning)현상이 생긴다. 시일 평면에서 코닝 현상은 시일의 축방향 분리력(axial separtating force)과 경사 모우면트(tilting moment)에 커다란 영향을 주고 있는 것으로 알여졌다. 이들의 연구는 주로 경사진 시일평판에 시일근사치이논(seal approximation bhoryl)을 이용하여 1차원 비압축성에 관한 시월 성능을 해석하였다. 본 연구에서는 비압축성 유체의 점성이 온도에 의하여 변화를 일으키는 조건하에서 경사진 회전시일에 코닝이 발생되었을때 시일링 각극에서의 압력분포를 ㅈ차원인 경우에 대하여 수치적으로 해석을 하였다.

  • PDF