• Title/Summary/Keyword: global behavior

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A Study on Transition of Shrinking Flame Disk to Flame Hole at Low Strain Rate Counterflow Diffusion Flames (저신장율 대향류확산화염에서 소화하는 화염디스크로부터 화염구멍으로 천이에 관한 연구)

  • Park, Dea-Geun;Park, Jeong;Yun, Jin-Han;Keel, Sang-In
    • Journal of the Korean Society of Combustion
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    • v.13 no.4
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    • pp.16-25
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    • 2008
  • Experiments have been conducted to clarify impacts of curtain flow and velocity ratio on low strain rate flame extinction, and to further display transition of shrinking flame disk to flame-hole. Critical mole fractions at flame extinction are examined in terms of velocity ratio, global strain rate, and nitrogen curtain flow rate. It is shown that multi-dimensional effects at low strain rate flames through global strain rate, velocity ratio, and curtain flowrate dominantly contribute to flame extinction and transition of shrinking flame disk to flame hole. Our concerns are particularly focused on the dynamic behavior of an edge flame in shrinking flame disk.

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A Case of Tic Disorder (틱장애를 주소(主訴)로 하는 환아(患兒)의 증례(症例) 보고(報告))

  • Lee Seoung-Hee;Jang Gyu-Tae;Kim Jang-Hyun
    • The Journal of Pediatrics of Korean Medicine
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    • v.15 no.2
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    • pp.111-119
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    • 2001
  • Tic disorder which is purposeless, repeated, unexpected, involuntary behavior and voice can be divided into motor, vocal tic. Tic disorder belongs to pediatic psychosomatic disease. In four clinical cases, patients between the age of 6 to 15 consisted of three males and one females. They all are the eldest or only son and have the parental behavioral, home background and studing problem. The patients appealed to eye blinking in tic early stage and belong to chronic motor or vocal tic disorder or transient tic disorder without tourette's disorder. When estimated by an appraisal standard of Yale Global Tic Severity Scale(YGTSS). Four patients administered Bosimgeunatang known to invigorating the heart, relieving mental stress improved.

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Experimental Study on Behavior near Extinction in Buoyancy-minimized Counterflow Diffusion Flame (부력 효과의 최소화를 통한 소화 근처 대향류 확산화염 거동에 관한 실험적 연구)

  • Chung, Yong Ho;Park, Jeong;Kwon, Oh Boong;Yun, Jin-Han;Keel, Sang-In;Kim, Tae Hyung;Kim, Young Ju
    • 한국연소학회:학술대회논문집
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    • 2012.11a
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    • pp.23-26
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    • 2012
  • Experimental study was conducted to elucidate flame extinction phenomena in counterflow flame. Using a curtain helium flow significantly reduced buoyancy such that the flame can be positioned at the center between the upper and lower nozzles even at the velocity ratio of 1.0. The curves of critical diluent mole fraction versus global strain rate have C-shapes. The flame oscillation was observed prior to low strain rate flame extinction at both flame conditions with and without minimizing buoyancy force. The results show that, at low strain rate flame, the self-excitation frequency with the order of 1.0 Hz in the case of utilizing pure helium gradually decreases in increase of $N_2$ mole fraction in the curtain flow, meaning that buoyancy suppresses the self-excitation of the outer edge flame.

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EXISTENCE AND LONG-TIME BEHAVIOR OF SOLUTIONS TO NAVIER-STOKES-VOIGT EQUATIONS WITH INFINITE DELAY

  • Anh, Cung The;Thanh, Dang Thi Phuong
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.2
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    • pp.379-403
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    • 2018
  • In this paper we study the first initial boundary value problem for the 3D Navier-Stokes-Voigt equations with infinite delay. First, we prove the existence and uniqueness of weak solutions to the problem by combining the Galerkin method and the energy method. Then we prove the existence of a compact global attractor for the continuous semigroup associated to the problem. Finally, we study the existence and exponential stability of stationary solutions.

NODAL SOLUTIONS FOR AN ELLIPTIC EQUATION IN AN ANNULUS WITHOUT THE SIGNUM CONDITION

  • Chen, Tianlan;Lu, Yanqiong;Ma, Ruyun
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.2
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    • pp.331-343
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    • 2020
  • This paper is concerned with the global behavior of components of radial nodal solutions of semilinear elliptic problems -Δv = λh(x, v) in Ω, v = 0 on ∂Ω, where Ω = {x ∈ RN : r1 < |x| < r2} with 0 < r1 < r2, N ≥ 2. The nonlinear term is continuous and satisfies h(x, 0) = h(x, s1(x)) = h(x, s2(x)) = 0 for suitable positive, concave function s1 and negative, convex function s2, as well as sh(x, s) > 0 for s ∈ ℝ \ {0, s1(x), s2(x)}. Moreover, we give the intervals for the parameter λ which ensure the existence and multiplicity of radial nodal solutions for the above problem. For this, we use global bifurcation techniques to prove our main results.

Optimum Design for Rotor-bearing System Using Advanced Genetic Algorithm (향상된 유전알고리듬을 이용한 로터 베어링 시스템의 최적설계)

  • Kim, Young-Chan;Choi, Seong-Pil;Yang, Bo-Suk
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.533-538
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    • 2001
  • This paper describes a combinational method to compute the global and local solutions of optimization problems. The present hybrid algorithm uses both a genetic algorithm and a local concentrate search algorithm (e. g simplex method). The hybrid algorithm is not only faster than the standard genetic algorithm but also supplies a more accurate solution. In addition, this algorithm can find the global and local optimum solutions. The present algorithm can be supplied to minimize the resonance response (Q factor) and to yield the critical speeds as far from the operating speed as possible. These factors play very important roles in designing a rotor-bearing system under the dynamic behavior constraint. In the present work, the shaft diameter, the bearing length, and clearance are used as the design variables.

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Evaluation of Thermal Deformation Model for BGA Packages Using Moire Interferometry

  • Joo, Jinwon;Cho, Seungmin
    • Journal of Mechanical Science and Technology
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    • v.18 no.2
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    • pp.230-239
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    • 2004
  • A compact model approach of a network of spring elements for elastic loading is presented for the thermal deformation analysis of BGA package assembly. High-sensitivity moire interferometry is applied to evaluate and calibrated the model quantitatively. Two ball grid array (BGA) package assemblies are employed for moire experiments. For a package assembly with a small global bending, the spring model can predict the boundary conditions of the critical solder ball excellently well. For a package assembly with a large global bending, however, the relative displacements determined by spring model agree well with that by experiment after accounting for the rigid-body rotation. The shear strain results of the FEM with the input from the calibrated compact spring model agree reasonably well with the experimental data. The results imply that the combined approach of the compact spring model and the local FE analysis is an effective way to predict strains and stresses and to determine solder damage of the critical solder ball.

Haptic Simulation for Deformable Object with s-FEM (s-FEM을 이용한 변형체 햅틱 시뮬레이션)

  • Jun Seong-Ki;Choi Jin-Bok;Cho Maeng-Hyo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2006.04a
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    • pp.373-380
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    • 2006
  • Accurate and fast haptic simulations of deformable objects are desired in many applications such as medical virtual reality. In haptic interactions with a coarse model, the number of nodes near the haptic interaction region is too few to generate detailed deformation. Thus, local refinement techniques need to be developed. Many approaches have employed purely geometric subdivision schemes, but they are not proper in describing the deformation behavior of deformable objects. This paper presents a continuum mechanics-based finite element adaptive method to perform haptic interaction 'with a deformable object. This method superimposes a local fine mesh upon a global coarse model, which consists of the entire deformable object. The local mesh and the global mesh are coupled by the s-version finite element method (s-FEM), which is generally used to enhance accurate solutions near the target points even more. The s-FEM can demonstrate a reliable deformation to users in real-time.

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BEHAVIOR OF POSITIVE SOLUTIONS OF A DIFFERENCE EQUATION

  • TOLLU, D.T.;YAZLIK, Y.;TASKARA, N.
    • Journal of applied mathematics & informatics
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    • v.35 no.3_4
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    • pp.217-230
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    • 2017
  • In this paper we deal with the difference equation $$y_{n+1}=\frac{ay_{n-1}}{by_ny_{n-1}+cy_{n-1}y_{n-2}+d}$$, $$n{\in}\mathbb{N}_0$$, where the coefficients a, b, c, d are positive real numbers and the initial conditions $y_{-2}$, $y_{-1}$, $y_0$ are nonnegative real numbers. Here, we investigate global asymptotic stability, periodicity, boundedness and oscillation of positive solutions of the above equation.

THE DYNAMICS OF POSITIVE SOLUTIONS OF A HIGHER ORDER FRACTIONAL DIFFERENCE EQUATION WITH ARBITRARY POWERS

  • GUMUS, MEHMET;SOYKAN, YUKSEL
    • Journal of applied mathematics & informatics
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    • v.35 no.3_4
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    • pp.267-276
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    • 2017
  • The purpose of this paper is to investigate the local asymptotic stability of equilibria, the periodic nature of solutions, the existence of unbounded solutions and the global behavior of solutions of the fractional difference equation $$x_{n+1}=\frac{^{{\alpha}x}n-1(k+1)}{{\beta}+{\gamma}x^p_{n-k}x^q_{n-(k+2)}}$$, $$n=0,1,{\dots}$$ where the parameters ${\alpha}$, ${\beta}$, ${\gamma}$, p, q are non-negative numbers and the initial values $x_{-(k+2)}$,$x_{-(k+1)}$, ${\dots}$, $x_{-1}$, $x_0{\in}\mathb{R}^+$.