• 제목/요약/키워드: Defining equations

검색결과 51건 처리시간 0.022초

The role of extensional rheology in polymer processing

  • Baird, Donald G.
    • Korea-Australia Rheology Journal
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    • 제11권4호
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    • pp.305-311
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    • 1999
  • The shear behavior of polymers obtained by means of devices such as capillary and cone-and-plate rheo-meters is commonly used to assess their processing performance and as a characterization tool. However, the number of instances when two polymers have the same shear properties but perform differently during certain types of processing operations (e.g. film blowing and sheet extrusion) indicate that shear properties alone may not be sufficient to characterize polymeric fluids. We begin by defining the kinematics of shear-free or extensional flow and the associated material functions. The extensional and shear behavior of three different types of polyethylene (PE) are then compared to illustrate the points that one cannot ascertain the extensional properties of polymer melts from their shear properties and, furthermore, there may not be a simple relation between properties obtained from one type of extensional flow and those of another type. The kinematics of most processing flows are extensional rather than shear in nature, and , hence, the performance of polymers during processes such as fiber spinning, film casting, film blowing, thermoforming, blow molding, and even extrusion is more readily accounted for through extensional viscosity measurements. Methods for carrying out extensional flow measurements are then reviewed including approximate methods. To illustrate the sensitivity of extensional viscosity measurements to subtle changes in the molecular architecture of PEs, results are presented for samples with a narrow molecular weight distribution but with varying numbers of long chain branches. Finally, constitutive equations which allow one to separate shear and extensional flow behavior are discussed as any attempts to simulate the subtle processing differences between two polymers will require constitutive equations of this nature.

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자동화된 경계고정좌표 생성법과 자연대류 문제에 대한 적용 (Automated Body-Fitted Grid Generation Method with Application to Natural Convection Problem)

  • 최일곤;맹주성
    • 대한기계학회논문집B
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    • 제23권6호
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    • pp.703-712
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    • 1999
  • This paper suggests an automatic elliptic grid generation method that is well-suited for the numerical mapping of complex geometries which are easily obtained from general CAD programs. An LBLADI solver is used for the governing mapping equations to have the strong diagonal dominance. The full boundary control method is adopted to determine the control functions of the equations, which allows the control of the grid regarding spacing and angle control at all boundary surfaces. The solution method presented here provides the capability of mapping very complicated geometries by defining grid point locations only along the boundaries. In the automated elliptic grid generation procedure, it is showed that strong diagonal dominance is essential to achieve successful mapping irrespective of the initial grid condition provided. To demonstrate the robustness of this method, it is applied to the thermal flow like the natural convection between eccentric cylinders. The results agree well with others.

매립형 합성기둥의 한계상태설계법 제안 (Proposed Limit State Design Method for Encased Composite Columns)

  • 김원기
    • 한국강구조학회 논문집
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    • 제9권4호통권33호
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    • pp.523-533
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    • 1997
  • 현존하는 매립형 합성기둥의 한계상태설계법은 합성재로서의 단면과 재료의 성능을 정의하는 설계식에 비논리적이며 모호한 부분을 내포하고 있다. 본 연구는 기존의 설계식을 제정하는데 사용한 과거의 연구자료를 조사하며 비논리적이며 모호한 점들을 분석하였다. 즉, 합성단면으로서의 항복강도와 탄성계수의 환산, 좌굴강도를 산정하는데 영향을 주는 설계식에서 단면2차모멘트 대신에 단면적의 사용. 강재 단면과 콘크리트 단면의 단면2차반경 중에서 큰 값의 적용등을 분석하였다. 본 연구는 기존의 설계식을 개선하며 두 가지 방법의 설계식을 제안하였으며 이 방법들은 실무 설계에 곧바로 적용될 수가 있다.

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단기통 4사이클 스파아크 점화기관 흡.배기 과정의 시뮬레이션 (Simulation of the gas exchange process for single-cylinder 4-stroke cycle spark ignition engine)

  • 윤건식;유병철
    • 오토저널
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    • 제7권1호
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    • pp.24-34
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    • 1985
  • The study of unsteady gas exchange processes in the inlet and exhaust systems of the single-cylinder 4-stroke cycle spark ignition engine is presented in this paper. The generalized method of characteristics including friction, heat transfer, change of flow area and entropy gradients was used for solving the equations defining the gas exchange process. The path line calculation was also conducted to allow for calculation of the gas composition and entropy change along the path lines, and of the variable specific heat due to the change of temperature and composition. As the result of the simulation, the properties at each point in the inlet and exhaust pipe, pressure and temperature in the cylinder, and charging efficiency were obtained. Pumping loss and residual gas fraction were also computed. The effect of engine speed, exhaust and inlet pipe length on the pumping loss and charging efficiency were studied showing that the results were in agreement with what has been known from experiments.

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A New Method of Collision Mode Evolution for Three-Dimensional Rigid Body Impact With Friction

  • Park, Jong-Hoon;Chung, Wan-Kyun;Youm, Young-Il
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2004년도 ICCAS
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    • pp.1769-1775
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    • 2004
  • In presence of collision between two rigid bodies, they exhibit impulsive behavior to generate physically feasible state. When the frictional impulse is involved, collision resolution can not be easily made based on a simple Newton's law or Poisson's law, mainly due to possible change of collision mode during collision, For example, sliding may change to sticking, and then sliding resumes. We first examine two conventional methods: the method of mode evolution by differential equation, and the other by linear complementarity programming. Then, we propose a new method for mode evolution by solving only algebraic equations defining mode changes. Further, our method attains the original nonlinear impulse cone constraint. The numerical simulation will elucidate the advantage of the proposed method as an alternative to conventional ones.

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UAV를 이용한 돔형 원자력 격납건물 외관조사를 위한 3차원 모델기반 비행 좌표 생성 방법 (3-D Model-based UAV Path Generation for Visual Inspection of the Dome-type Nuclear Containment Building)

  • 김봉근
    • 한국BIM학회 논문집
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    • 제6권1호
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    • pp.1-8
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    • 2016
  • This paper provides a method for generating flight path of Unmanned Aerial Vehicle (UAV) that is intended to be used in visual inspection of dome-type nuclear containment building. The method basically employs 3-D model to extract accurate location coordinates. Two basic route patterns that provide guide lines in defining moving locations were defined for each side wall and dome section of the containment. The route patterns support sequential capturing of images as well. In addition, several simple equations and an algorithm for calculation of the moving location on the route were developed on the basis of 3-D geometric characteristics of the containment building. A prototype computer program has been implemented to validate the proposed method, and a case study shows the method can visualize covering area in 3-D model as well.

GEOMETRIC ANALYSIS ON THE DIEDERICH-FORNÆSS INDEX

  • Krantz, Steven George;Liu, Bingyuan;Peloso, Marco Maria
    • 대한수학회지
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    • 제55권4호
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    • pp.897-921
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    • 2018
  • Given bounded pseudoconvex domains in 2-dimensional complex Euclidean space, we derive analytical and geometric conditions which guarantee the Diederich-$Forn{\ae}ss$ index is 1. The analytical condition is independent of strongly pseudoconvex points and extends $Forn{\ae}ss$-Herbig's theorem in 2007. The geometric condition reveals the index reflects topological properties of boundary. The proof uses an idea including differential equations and geometric analysis to find the optimal defining function. We also give a precise domain of which the Diederich-$Forn{\ae}ss$ index is 1. The index of this domain can not be verified by formerly known theorems.

Steel nitriding optimization through multi-objective and FEM analysis

  • Cavaliere, Pasquale;Perrone, Angelo;Silvello, Alessio
    • Journal of Computational Design and Engineering
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    • 제3권1호
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    • pp.71-90
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    • 2016
  • Steel nitriding is a thermo-chemical process leading to surface hardening and improvement in fatigue properties. The process is strongly influenced by many different variables such as steel composition, nitrogen potential, temperature, time, and quenching media. In the present study, the influence of such parameters affecting physic-chemical and mechanical properties of nitride steels was evaluated. The aim was to streamline the process by numerical-experimental analysis allowing defining the optimal conditions for the success of the process. Input parameters-output results correlations were calculated through the employment of a multi-objective optimization software, modeFRONTIER (Esteco). The mechanical and microstructural results belonging to the nitriding process, performed with different processing conditions for various steels, are presented. The data were employed to obtain the analytical equations describing nitriding behavior as a function of nitriding parameters and steel composition. The obtained model was validated, through control designs, and optimized by taking into account physical and processing conditions.

Impact of uncertain natural vibration period on quantile of seismic demand

  • Hong, H.P.;Wang, S.S.;Kwan, A.K.H.
    • Structural Engineering and Mechanics
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    • 제28권4호
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    • pp.357-372
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    • 2008
  • This study investigates effect of uncertainty in natural vibration period on the seismic demand. It is shown that since this uncertainty affects the acceleration and displacement responses differently, two ratios, one relating peak acceleration responses and the other relating the peak displacement responses, are not equal and both must be employed in evaluating and defining the critical seismic demand. The evaluation of the ratios is carried out using more than 200 strong ground motion records. The results suggest that the uncertainty in the natural vibration period impacts significantly the statistics of the ratios relating the peak responses. By using the statistics of the ratios, a procedure and sets of empirical equations are developed for estimating the probability consistent seismic demand for both linear and nonlinear systems.

흡배기계의 가스유동이 체적효율에 미치는 영향 (The effects of gas flow in intake and exhaust system on volumetric efficiency)

  • 조진호;김병수
    • 오토저널
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    • 제10권4호
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    • pp.57-65
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    • 1988
  • The study of unsteady gas exchange processes in the intake and exhaust systems of four-cylinder, four-stroke cycle internal combustion engine is described in this paper. The calculation model for the intake and exhaust systems is established and solved by the characteristic method for the equations defining these systems. A constant pressure theory is used for modeling branches of intake and exhaust manifolds. The relationship between the volumetric efficiency and the intake, exhaust pressure variation is clarified by simulation of these systems. It is found that the volumetric efficiency mainly depends on the intake pressure during the short period before the intake valves is closed, that the volumetric efficiency is influenced a little by intake chamber volume in the intake and exhaust system.

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