• Title/Summary/Keyword: Periodic solutions

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Optimal Solution of a Cyclic Task Using the Global Path Information for a Redundant Robot (여유자유도 로봇에 있어서 광역의 경로정보를 이용한 주기작업의 최적해)

  • 최병욱;원종화;정명진
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.29B no.3
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    • pp.6-15
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    • 1992
  • This paper proposes a method for the global optimization of redundancy over the whole task period for a kinematically redundant robot. The necessary conditions based on the calculus of variations for an integral type cost criterion result in a second-order differential equation. For a cyclic task, the periodic boundary conditions due to conservativity requirements are discussed. We refine the two-point boundary value problem to an initial value adjustment problem and suggest a numerical search method for providing the conservative global optimal solution using the gradient projection method. Since the initial joint velocity is parameterized with the number of the redundancy, we only search the parameter value in the space of as many dimensions as the number of degrees of redundancy. We show through numerical examples that multiple nonhomotopic extremal solutions and the generality of the proposed method by considering the dynamics of a robot.

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Preparation and Characterization of Porous Polymethylmethacrylate Film Showing Optical Reflectivity

  • Kim, Jihoon
    • Journal of Integrative Natural Science
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    • v.6 no.2
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    • pp.82-86
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    • 2013
  • This paper describes a method for the preparation of porous polymethylmethacrylate showing optical reflectivity from the porous silicon template. A porous polymethylmethacrylate showing optical reflectivity was prepared by replicating porous silicon template which was obtained by applying a computer-generated periodic square current density and resulted in a mirror with high reflectivity in a specific narrow spectral region. A porous polymethylmethacrylate showing an excellent reflectivity was successfully obtained by dissolving the Porous silicon template from the porous polymethylmethacrylate composite film. A porous polymethylmethacrylate exhibited a sharp reflection resonance in the reflectivity spectrum. Surface image of the porous polymethylmethacrylate indicated that the surface of the porous polymethylmethacrylate film had a porous structure. These porous polymethylmethacrylate films in aqueous solutions were stable for several days without any degradation.

Lyotropic Chromonic Liquid Crystals in Aligned Films for Applications as Polarizing Coatings

  • Schneider, Tod;Golovin, Andrii;Lee, Jong-Chan;Lavrentovich, Oleg D.
    • Journal of Information Display
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    • v.5 no.2
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    • pp.27-38
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    • 2004
  • We describe dried oriented films with anisotropic structural and optical properties prepared from the aqueous solutions of plank-like molecules, the so-called Lyotropic Chromonic Liquid Crystals (LCLCs). The dried LCLC films may be used as optical elements, such as polarizers, compensators, color filters, or retardation plates in the UV, visible, or infrared parts of spectrums. The optical quality of the films is determined by the uniformity of the molecular alignment, which often distorted by periodic variations of the director field. We describe different ways to improve the alignment properties of the films by using additives. We present compositions capable of polarizing effects in visible and UV parts of spectrum.

Influence of a Structure by the Submerged Breakwater and the Porous Wave Absorber (수중방파제와 다공성 소파장치가 구조물에 미치는 영향)

  • Park, Jin-Ho;Jung, Tae-Hwa;Cho, Yong-Sik
    • 한국방재학회:학술대회논문집
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    • 2008.02a
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    • pp.225-228
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    • 2008
  • There are many studies about submerged structures or porous wave absorbers to decrease damage of coast and structures. Submerged structures and porous wave absorber are decreasing energy of incoming wave by reflecting or dissipation with changing depth or with porous rubble mound. This study addresses the reflection and transmission of long wave from a trapezoidal breakwater and a vertical porous wave absorber at the same time. A systematic shape transfer is derived to determine wave reflection and transmission. And periodic solutions are matched at the slope and the front face of the absorber by assuming continuity of pressure and mass. The transmission coefficient is determined as a function of parameters describing the incoming waves, transmitting waves through the trapezoidal breakwater and the absorber characteristics.

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A Nonlinear Theory for the Oregonator Model with an External Input

  • Ryu Moon Hee;Lee Dong J.;Lee Sangyoub;Shin Kook Joe
    • Bulletin of the Korean Chemical Society
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    • v.15 no.6
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    • pp.488-496
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    • 1994
  • An approximate nonlinear theory of the Oregonator model is obtained with the aid of an ordinary perturbation method when the system is perturbed by some kinds of external input. The effects of internal and external parameters on the oscillations are discussed in detail by taking specific values of the parameters. A simple approximate solution for the Oregonator model under the influence of a constant input is obtained and the result is compared with the numerical result. For other types of external inputs the approximate solutions up to the fourth order expansion are compared with the numerical results. For a periodic input, we found that the entrainment depends crucially on the difference between the internal and external frequencies near the bifurcation point.

The torsional buckling analysis for cylindrical shell with material non-homogeneity in thickness direction under impulsive loading

  • Sofiyev, A.H.
    • Structural Engineering and Mechanics
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    • v.19 no.2
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    • pp.231-236
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    • 2005
  • This study considers the buckling of orthotropic cylindrical thin shells with material nonhomogeneity in the thickness direction, under torsion, which is a power function of time. The dynamic stability and compatibility equations are obtained first. Applying Galerkin's method then applying Ritz type variational method to these equations and taking the large values of loading parameters into consideration, analytic solutions are obtained for critical parameter values. Using those results, the effects of the periodic and power variations of Young's moduli and density, ratio of Young's moduli variations, loading parameters variations and the power of time in the torsional load expression variations are studied via pertinent computations. It is concluded that all these factors contribute to appreciable effects on the critical parameters of the problem in question.

A MATHEMATICAL MODEL OF TRANSMISSION OF PLASMODIUM VIVAX MALARIA WITH A CONSTANT TIME DELAY FROM INFECTION TO INFECTIOUS

  • Kammanee, Athassawat;Tansuiy, Orawan
    • Communications of the Korean Mathematical Society
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    • v.34 no.2
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    • pp.685-699
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    • 2019
  • This research is focused on a continuous epidemic model of transmission of Plasmodium vivax malaria with a time delay. The model is represented as a system of ordinary differential equations with delay. There are two equilibria, which are the disease-free state and the endemic equilibrium, depending on the basic reproduction number, $R_0$, which is calculated and decreases with the time delay. Moreover, the disease-free equilibrium is locally asymptotically stable if $R_0<1$. If $R_0>1$, a unique endemic steady state exists and is locally stable. Furthermore, Hopf bifurcation is applied to determine the conditions for periodic solutions.

Anodic oxidation behavior of AZ31 Mg alloy in aqueous solution containing various NaF concentrations

  • Moon, Sungmo;Kwon, Duyoung
    • Journal of Surface Science and Engineering
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    • v.55 no.4
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    • pp.196-201
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    • 2022
  • This paper deals with anodic oxidation behavior of AZ31 Mg alloy in aqueous solutions containing various NaF concentrations from 0.01 M to 1 M. Three different voltage-time curves and anodic oxide formation behaviors appeared with concentration of NaF in deionized water. When NaF concentration is lower than 0.02 M, the voltage of AZ31 Mg alloy increased linearly and then reached a steady-state value more than 200 V, and large size pits and thin oxide layer were formed. When NaF concentration is between 0.05 M and 0.1 M, the voltage of AZ31 Mg alloy showed large periodic fluctuations of about 30 ~ 50 V around more than 200 V and large number of small particles were observed. If NaF concentration is higher than 0.2 M, PEO films can be formed without visible arcs under solution pH 6.5 ~ 7.5 by F- ions without help of OH- ions.

Use of Piezoelectric Effect in Portable Loadless Wind-Power Source for Ubiquitous Sensor Networks (유비쿼터스 센서네트워크를 위한 압전효과 기반의 무구속 휴대용 풍력 전원 장치)

  • Chang, Hyung-Kwan;Kim, Dae-Joong;Park, Jung-Yul
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.34 no.6
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    • pp.623-628
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    • 2010
  • This paper presents a wind-power-driven portable power source based on piezoelectric effect. Positive piezoelectric effect is one of efficient and widely used mechanisms for converting mechanical energy to electrical energy. However, for this mechanism, a periodic mechanical stress with a high frequency, as in the case of AC, has to be exerted; such stress cannot be exerted by the natural wind in the environment. The natural wind has a constant velocity with slow and irregular variations, as in the case of DC. In this paper, we propose a novel and simple mechanism to convert mechanical energy into electrical energy. The DC-like wind flow is passed through a propeller to convert it to an AC-like wind flow; the resultant AC-like periodic flow induces vibrations in a piezoelectric cantilever, thereby, generating electrical power. This system is expected to be one of practical solutions for wireless energy supply to ubiquitous sensor networks (USNs).

Numerical Simulation on Laminar Flow Past a Rotary Oscillating Circular Cylinder (주기 회전하는 원형 실린더 주위 층류 유동장의 수치 시뮬레이션)

  • Park, Jong-Chun;Moon, Jin-Kuk;Chun, Ho-Hwan;Suh, Sung-Bu
    • Journal of the Society of Naval Architects of Korea
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    • v.42 no.4 s.142
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    • pp.368-378
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    • 2005
  • The effects of rotary oscillation on the unsteady laminar flow past a circular cylinder. are numerically investigated in the present study. The numerical solutions for the 20 Wavier-Stokes equation are obtained using a finite volume method Tn the framework of an overlapping grid system. The vortex formation behind a circular cylinder and the hydrodynamics of wake flows for different rotary oscillation conditions are analyzed from the results of numerical simulation. The lock-on region is defined as the region that the natural shedding frequency due to the Karmann Vortex shedding and the forcing frequency due to the forced oscillating a cylinder are nearly same, and the quasi-periodic states are observed around that region. At the intersection between lock-on and non-lock-on region the shedding frequency is bifurcated. After the bifurcation, one frequency fellows the forcing frequency($S_f$) and the other returns to the natural shedding frequency($St_0$). in the quasi-periodic states, the variation of magnitudes and relevant phase changes of $C_L$ with forcing phase are examined.