• 제목/요약/키워드: Periodic function

검색결과 435건 처리시간 0.029초

트랙 추종 서보 시스템에 대한 주기적 외란 보상기의 이득 설정과 구현 (Design and Implementation of Periodic Disturbance Compensators for Track Following Servo Systems)

  • 정준
    • 한국소음진동공학회논문집
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    • 제24권2호
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    • pp.139-145
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    • 2014
  • Periodic disturbance compensators are widely used in track following servo systems. They are commonly designed and implemented by adaptive feedforward compensators or internal model based compensators. In track following servo systems, the gains of the compensators should be determined considering the change of the sensitivity transfer function and the implementation methods should be selected considering the system environment. This paper proposes a guide for determining gains of the periodic disturbance compensators. Various simulation and experimental results are presented to see the effect of gains. In addition, this paper introduces the various types of implementation methods and compares their merits and demerits.

삼중 주기적 최소곡면을 이용한 조직공학을 위한 생체모사 스캐폴드의 컴퓨터응용 설계 및 제작 (Computer-aided Design and Fabrication of Bio-mimetic Scaffold for Tissue Engineering Using the Triply Periodic Minimal Surface)

  • 유동진
    • 한국정밀공학회지
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    • 제28권7호
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    • pp.834-850
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    • 2011
  • In this paper, a novel tissue engineering scaffold design method based on triply periodic minimal surface (TPMS) is proposed. After generating the hexahedral elements for a 3D anatomical shape using the distance field algorithm, the unit cell libraries composed of triply periodic minimal surfaces are mapped into the subdivided hexahedral elements using the shape function widely used in the finite element method. In addition, a heterogeneous implicit solid representation method is introduced to design a 3D (Three-dimensional) bio-mimetic scaffold for tissue engineering from a sequence of computed tomography (CT) medical image data. CT image of a human spine bone is used as the case study for designing a 3D bio-mimetic scaffold model from CT image data.

Theoretical Description of All-Optical Switching Phenomena Involving Coupled Gap Solitons

  • Lee, Sangjae
    • 한국광학회지
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    • 제7권4호
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    • pp.403-413
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    • 1996
  • We study the propagation of two pulses with orthogonal linear polarizations in a nonlinear periodic dielectric structure with $X^{(3)}$ nonlinearity. Using an envelope- function approach, we derive the coupled nonlinear Schrodinger equations governing the spatio-temporal evolutions of the two orthogonally polarized modes in a nonlinear periodic structure. We then find their solitary-wave solutions referred to as coupled gap solitons. We show that two orthogonally polarized pulses can co-propagate as a coupled gap soliton through a nonlinear periodic structure while each pulse alone will be strongly reflected due to the Bragg reflection. Based on the results, we present an all-optical switching scheme which has a novel architecture and principle. We also study the stability of coupled gap solitons to find the dragging phenomena in a nonlinear birefringent periodic medium.

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ANTI-PERIODIC SOLUTIONS FOR BAM NEURAL NETWORKS WITH MULTIPLE DELAYS ON TIME SCALES

  • Shu, Jiangye;Li, Yongkun
    • Journal of applied mathematics & informatics
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    • 제29권1_2호
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    • pp.279-292
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    • 2011
  • In this paper, we consider anti-periodic solutions of the following BAM neural networks with multiple delays on time scales: $$\{{x^\Delta_i(t)=-a_i(t)e_i(x_i(t))+{\sum\limits^m_{j=1}}c_{ji}(t)f_j(y_j(t-{\tau}_{ji}))+I_i(t),\atop y^\Delta_j(t)=-b_j(t)h_j(y_j(t))+{\sum\limits^n_{i=1}}d_{ij}(t)g_i(x_i(t-{\delta}_{ij}))+J_j(t),}\$$ where i = 1, 2, ..., n,j = 1, 2, ..., m. Using some analysis skills and Lyapunov method, some sufficient conditions on the existence and exponential stability of the anti-periodic solution to the above system are established.

리아프노프 함수를 이용한 Chua 오실레이터 회로에서의 카오스 제어 (A Study on Chaos Control of a Chua' Oscillator Circuit Using a Lyapunov function)

  • 배영철;고재호;유창환;홍대승;임화영
    • 한국정보통신학회논문지
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    • 제3권1호
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    • pp.113-120
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    • 1999
  • Chua 발진기의 카오스 신호를 선형 상태 피드백 제어 이론을 적용하여 평형점, 1주기, 2주기의 신호로 제어하는 방법을 제안하였다. 제안한 선형 상태 피드백 이득 값을 리아프노프 함수를 이용하여 Chua 오실레이터가 나타내는 모든 카오스 현상을 제어할 수 있도록 파라미터 부호의 조합에 의해 4가지로 분류하였다. 본 논문의 상태 피드백 제어 기법은 시스템의 카오스 상태에서 얻고자 하는 상태(평형점, 주기 신호등)로 효율적으로 제어 가능하고, 매우 간단한 구조로 파라미터의 변화 없이 최소의 입력으로 가능케 하였다.

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넓은 수평 환형 공간에서의 혼동 열 대류 : Pr=0.1 (Chaotic Thermal Convection in a Wide-Gap Horizontal Annulus : Pr=0.1)

  • 유주식;엄용균
    • 설비공학논문집
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    • 제13권2호
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    • pp.88-95
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    • 2001
  • Transition to chaotic convection is investigated for natural convection of a fluid with Pr=0.1 in a wide-gap horizontal annuls. The unsteady two-dimensional stream-function-vorticity equation is solved with finite difference method. As the Rayleigh number is increased, the steady 'downward flow' bifurcates to a time-periodic flow with a fundamental frequency, and afterwards a period-doubling bifurcation occurs. As the Rayleigh number is increased further, the chaotic flow regime is reached after a sequence of successive Hopf bifurcation to quasi-periodic and chaotic flow regimes. The route to chaos shows the Ruelle-Takens-Newhouse scenario. The flow of chaotic regime displays complex coalescence and separation of eddies in the side and lower region of the annulus.

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주기 하중을 받는 3-자유절점 공간 트러스의 동적 불안정 현상과 주파수 특성 (Dynamic Snapping and Frequency Characteristics of 3-Free-Nodes Spatial Truss Under the Periodic Loads)

  • 손수덕;황경주
    • 한국공간구조학회논문집
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    • 제20권4호
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    • pp.149-158
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    • 2020
  • The governing equation for a dome-type shallow spatial truss subjected to a transverse load is expressed in the form of the Duffing equation, and it can be derived by considering geometrical non-linearity. When this model under constant load exceeds the critical level, unstable behavior is appeared. This phenomenon changes sensitively as the number of free-nodes increases or depends on the imperfection of the system. When the load is a periodic function, more complex behavior and low critical levels can be expected. Thus, the dynamic unstable behavior and the change in the critical point of the 3-free-nodes space truss system were analyzed in this work. The 4-th order Runge-Kutta method was used in the system analysis, while the change in the frequency domain was analyzed through FFT. The sinusoidal wave and the beating wave were utilized as the periodic load function. This unstable situation was observed by the case when all nodes had same load vector as well as by the case that the load vector had slight difference. The results showed the critical buckling level of the periodic load was lower than that of the constant load. The value is greatly influenced by the period of the load, while a lower critical point was observed when it was closer to the natural frequency in the case of a linear system. The beating wave, which is attributed to the interference of the two frequencies, exhibits slightly more behavior than the sinusoidal wave. And the changing of critical level could be observed even with slight changes in the load vector.

ON PERIODICIZING FUNCTIONS

  • Naito Toshiki;Shin Jong-Son
    • 대한수학회보
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    • 제43권2호
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    • pp.253-263
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    • 2006
  • In this paper we introduce a new concept, a 'periodicizing' function for the linear differential equation with the periodic forcing function. Moreover, we construct this function, which is closely related with the solution of a difference equation and an indefinite sum. Using this function, we can obtain a representation of solutions from which we see immediately the asymptotic behavior of the solutions.

韓國産 冬眠 박쥐의 精巢와 副精巢의 週期的인 變化에 관한 硏究 (Periodic Changes of the Testis and Ductus Epididymis in Korean Hibernating Bats)

  • Oh, Yung-Keun
    • 한국동물학회지
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    • 제20권2호
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    • pp.67-76
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    • 1977
  • The periodic changes of testis and \ulcorner션 epididymidis in Korean hibernating bats, the oriental discoloured bats (Vesportilio superans Thomas) and the Korean greater horseshoe bats (Rhinolophus ferrumequinum korak Kuroda) were studied in order to clarify the possibility of correlation between their histological findings and one of physiological facets, hibernation, and the results obtained were as follows: 1. The spermatogenic function of the oriental discoloured bats obtained in July and August was depressed although the spermatocytes showed a considerable cell proliferation. Few mature sperms were observed in the seminiferous tubules of the bat obtained in August. 2. The spermatogenic function of the Korean greater horeshoe bats obtained in September was not remalkable but a considerable number of sperms were stored in the excretory ducts which were characterized by existence of para-tubular spaces in the ductus epididymidis. 3. The spermatogenic epithelia of the Korean greater horseshoe bats obtained in December showed histologically atrophied figures. However, a vast number of sperm remained in extremely expaned luminae of the ductuc epididymidis which epithelial cells were maintained rectangular in shape. 4. These results suggest that there are periodic changes of the spermatogenic epithelia and the excretory ducts, and that those histological changes are closely related to their wintering.

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