• 제목/요약/키워드: Coupled Mode Theory

검색결과 118건 처리시간 0.023초

준 슬라이딩 모드 제어를 이용한 선박의 종동요 및 횡동요 억제 (Suppression of Coupled Pitch-Roll Motions using Quasi-Sliding Mode Control)

  • 이상도;트롱 엥곡 쿠옹;서효;유삼상
    • 해양환경안전학회지
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    • 제27권2호
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    • pp.211-218
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    • 2021
  • 본 연구는 종방향과 횡방향에서 규칙파가 외란으로 입사하는 선박의 종동요 및 횡동요를 억제하는 문제를 다룬다. 선박의 안전 운항을 위해서 파랑 중 선박의 종동요 및 횡동요를 안정화시키는 것은 필수적인 과제로 여겨진다. 종동요 및 횡동요 거동에서 중요한 특징 중에 하나는 공진인데, 이 현상은 특정한 조건에서 예상치 못한 큰 응답을 초래한다. 종동요와 횡동요는 두 운동이 상호 결합되어 있고 복원항이 강한 비선형을 갖고 있음으로 계의 파라미터에 따라 다양한 동적 거동을 보이는 것이 중요한 특징인데, 특히 종동요에서 이 특성이 두드러지게 나타난다. 무엇보다, 선박의 조종성능 및 안전을 위해 선박의 종동요 가속도 응답을 완전히 억제하는 것은 상당히 도전적인 과제이다. 이 연구에서는 준 슬라이딩 모드 제어 기법을 이용하여 종동요와 횡동요를 줄임으로 파랑 중의 선박을 안정적인 직립 상태로 유지시키고, 아울러 채터링을 감소시키는 목적을 달성하였다. 리아프노프 이론으로 준 슬라이딩 모드 제어의 안정성을 판명하였고, 수치 시뮬레이션으로 제어 방식의 유효성을 증명하였다. 제시한 기법으로 종동요 및 횡동요 응답의 수렴 및 채터링 감소라는 두 가지 목표가 효과적으로 달성되었다.

Effect of different viscoelastic models on free vibrations of thick cylindrical shells through FSDT under various boundary conditions

  • Daemi, Hossein;Eipakchi, Hamidreza
    • Structural Engineering and Mechanics
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    • 제73권3호
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    • pp.319-330
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    • 2020
  • This paper investigates the free vibrations of cylindrical shells made of time-dependent materials for different viscoelastic models under various boundary conditions. During the extraction of equations, the displacement field is estimated through the first-order shear deformation theory taking into account the transverse normal strain effect. The constitutive equations follow Hooke's Law, and the kinematic relations are linear. The assumption of axisymmetric is included in the problem. The governing equations of thick viscoelastic cylindrical shell are determined for Maxwell, Kelvin-Voigt and the first and second types of Zener's models based on Hamilton's principle. The motion equations involve four coupled partial differential equations and an analytical method based on the elementary theory of differential equations is used for its solution. Relying on the results, the natural frequencies and mode shapes of viscoelastic shells are identified. Conducting a parametric study, we examine the effects of geometric and mechanical properties and boundary conditions, as well as the effect of transverse normal strain on natural frequencies. The results in this paper are compared against the results obtained from the finite elements analysis. The results suggest that solutions achieved from the two methods are ideally consistent in a special range.

Impact of spar-nacelle-blade coupling on the edgewise response of floating offshore wind turbines

  • Dinh, Van-Nguyen;Basu, Biswajit;Nielsen, Soren R.K.
    • Coupled systems mechanics
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    • 제2권3호
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    • pp.231-253
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    • 2013
  • The impact of spar-nacelle-blade coupling on edgewise dynamic responses of spar-type floating wind turbines (S-FOWT) is investigated in this paper. Currently, this coupling is not considered explicitly by researchers. First of all, a coupled model of edgewise vibration of the S-FOWT considering the aerodynamic properties of the blade, variable mass and stiffness per unit length, gravity, the interactions among the blades, nacelle, spar and mooring system, the hydrodynamic effects, the restoring moment and the buoyancy force is proposed. The aerodynamic loads are combined of a steady wind (including the wind shear) and turbulence. Each blade is modeled as a cantilever beam vibrating in its fundamental mode. The mooring cables are modeled using an extended quasi-static method. The hydrodynamic effects calculated by using Morison's equation and strip theory consist of added mass, fluid inertia and viscous drag forces. The random sea state is simulated by superimposing a number of linear regular waves. The model shows that the vibration of the blades, nacelle, tower, and spar are coupled in all degrees of freedom and in all inertial, dissipative and elastic components. An uncoupled model of the S-FOWT is then formulated in which the blades and the nacelle are not coupled with the spar vibration. A 5MW S-FOWT is analyzed by using the two proposed models. In the no-wave sea, the coupling is found to contribute to spar responses only. When the wave loading is considered, the coupling is significant for the responses of both the nacelle and the spar.

평행 결합선로 이론에 근거한 MMIC 집중 소자형 방향성 결합기 (Lumped Element MMIC Direction Coupler Based on Parallel Coupled-Line Theory)

  • 강명수;정명섭;박준석;임재봉;조홍구;이재학;김형석
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 하계학술대회 논문집 C
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    • pp.2028-2030
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    • 2004
  • In this paper, a lumped equivalent circuit for a conventional parallel directional coupler is proposed. The equivalent circuit and design formula for the presented lumped element coupler is derived based on the even- and odd-mode properties of a parallel-coupled line. By using the derived design formula, we have designed the 3dB and 4.7dB lumped element directional couplers at the center frequency of 3.4GHz and 5.6GHz. A chip type directional coupler has been designed to fabricate with MMIC(Monolitic Microwave integrated circuit) process. Excellent agreements between simulations and measurements on the designed directional couplers show the validity of this paper.

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Effects of macroporosity and double porosity on noise control of acoustic cavity

  • Sujatha, C.;Kore, Shantanu S.
    • Advances in aircraft and spacecraft science
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    • 제3권3호
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    • pp.351-366
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    • 2016
  • Macroperforations improve the sound absorption performance of porous materials in acoustic cavities and in waveguides. In an acoustic cavity, enhanced noise reduction is achieved using porous materials having macroperforations. Double porosity materials are obtained by filling these macroperforations with different poroelastic materials having distinct physical properties. The locations of macroperforations in porous layers can be chosen based on cavity mode shapes. In this paper, the effect of variation of macroporosity and double porosity in porous materials on noise reduction in an acoustic cavity is presented. This analysis is done keeping each perforation size constant. Macroporosity of a porous material is the fraction of area covered by macro holes over the entire porous layer. The number of macroperforations decides macroporosity value. The system under investigation is an acoustic cavity having a layer of poroelastic material rigidly attached on one side and excited by an internal point source. The overall sound pressure level (SPL) inside the cavity coupled with porous layer is calculated using mixed displacement-pressure finite element formulation based on Biot-Allard theory. A 32 node, cubic polynomial brick element is used for discretization of both the cavity and the porous layer. The overall SPL in the cavity lined with porous layer is calculated for various macroporosities ranging from 0.05 to 0.4. The results show that variation in macroporosity of the porous layer affects the overall SPL inside the cavity. This variation in macroporosity is based on the cavity mode shapes. The optimum range of macroporosities in poroelastic layer is determined from this analysis. Next, SPL is calculated considering periodic and nodal line based optimum macroporosity. The corresponding results show that locations of macroperforations based on mode shapes of the acoustic cavity yield better noise reduction compared to those based on nodal lines or periodic macroperforations in poroelastic material layer. Finally, the effectiveness of double porosity materials in terms of overall sound pressure level, compared to equivolume double layer poroelastic materials is investigated; for this the double porosity material is obtained by filling the macroperforations based on mode shapes of the acoustic cavity.

Turret location impact on global performance of a thruster-assisted turret-moored FPSO

  • Kim, S.W.;Kim, M.H.;Kang, H.Y.
    • Ocean Systems Engineering
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    • 제6권3호
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    • pp.265-287
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    • 2016
  • The change of the global performance of a turret-moored FPSO (Floating Production Storage Offloading) with DP (Dynamic Positioning) control is simulated, analyzed, and compared for two different internal turret location cases; bow and midship. Both collinear and non-collinear 100-yr GOM (Gulf of Mexico) storm environments and three cases (mooring-only, with DP position control, with DP position+heading control) are considered. The horizontal trajectory, 6DOF (degree of freedom) motions, fairlead mooring and riser tension, and fuel consumptions are compared. The PID (Proportional-Integral-Derivative) controller based on LQR (linear quadratic regulator) theory and the thrust-allocation algorithm which is based on the penalty optimization theory are implemented in the fully-coupled time-domain hull-mooring-riser-DP simulation program. Both in collinear and non-collinear 100-yr WWC (wind-wave-current) environments, the advantage of mid-ship turret is demonstrated by the significant reduction in heave at the turret location due to the minimal coupling with pitch mode, which is beneficial to mooring and riser design. However, in the non-collinear WWC environment, the mid-turret case exhibits unfavorable weathervaning characteristics, which can be reduced by employing DP position and heading controls as demonstrated in the present case studies. The present study also reveals the plausible cause of the failure of mid-turret Gryphon Alpha FPSO in milder environment than its survival condition.

Wind-induced responses and equivalent static wind loads of tower-blade coupled large wind turbine system

  • Ke, S.T.;Wang, T.G.;Ge, Y.J.;Tamura, Y.
    • Structural Engineering and Mechanics
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    • 제52권3호
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    • pp.485-505
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    • 2014
  • This study aimed to develop an approach to accurately predict the wind models and wind effects of large wind turbines. The wind-induced vibration characteristics of a 5 MW tower-blade coupled wind turbine system have been investigated in this paper. First, the blade-tower integration model was established, which included blades, nacelle, tower and the base of the wind turbine system. The harmonic superposition method and modified blade element momentum theory were then applied to simulate the fluctuating wind field for the rotor blades and tower. Finally, wind-induced responses and equivalent static wind loads (ESWL) of the system were studied based on the modified consistent coupling method, which took into account coupling effects of resonant modes, cross terms of resonant and background responses. Furthermore, useful suggestions were proposed to instruct the wind resistance design of large wind turbines. Based on obtained results, it is shown from the obtained results that wind-induced responses and ESWL were characterized with complicated modal responses, multi-mode coupling effects, and multiple equivalent objectives. Compared with the background component, the resonant component made more contribution to wind-induced responses and equivalent static wind loads at the middle-upper part of the tower and blades, and cross terms between background and resonant components affected the total fluctuation responses, while the background responses were similar with the resonant responses at the bottom of tower.

Frequency Window Method에 의한 Secondary 구조 시스템의 진동특성 (Frequency Window Method for the Vibration of Secondary Structural Systems)

  • 민경원
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1991년도 춘계학술대회논문집; 한국해사기술연구소, 대전; 1 Jun. 1991
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    • pp.153-158
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    • 1991
  • Recently, demands on light weight, high strength, and low noise or vibration have led to the design of complicated structural systems. Although finite elements [1], mode synthesis [2], and statistical energy analysis [3] can be used to compute the dynamic response of such systems, the structural complexity has made the interpretation of the results of such analysis difficult. Many researchers in dynamic analysis have sought to further develop existing theories or develop alternate methods to obtain greater insight in the behavior of large massive primary systems (P systems) with connected light secondary systems (S systems). Some recent research includes work by Sackman and Kelly [4], Sackman et al.[5], Der Kiureghian et al.[6], and Igusa and Der Kiureghian [7-9] who have combined mode synthesis concepts, matrix algebraic theory, and perturbation methods for characterizing weakly-coupled structural systems. A major limitation of these works are that they are limited to lumped mass S systems. In this paper, the general ideas in the Refs.[4-9] are used to study continuous S systems and the method to reduce the complexity, studied in the works by Igusa, Achenbach, and Min [10,11], is developed into the frequency window method.

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Bus-waveguide-width Dependence of Evanescent Wave Coupling in a Microring Resonator

  • Son, Seong-Jin;Kim, Suyeon;Yu, Nan Ei;Ko, Do-Kyeong
    • Current Optics and Photonics
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    • 제5권5호
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    • pp.538-543
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    • 2021
  • The evanescent wave coupling of a microring resonator is controlled by changing the gap distance between the bus waveguide and the microring waveguide. However, the interdependence of the bus waveguide's width and the coupling is not well understood. In this paper, we investigate the dependence of coupling strength on the bus waveguide's width. The strength of the evanescent wave coupling is analytically calculated using coupled-mode theory (CMT) and numerically calculated by three-dimensional finite-difference-time-domain (FDTD) simulation. The analytic and numerical simulation results show that the phase-matching condition in evanescent wave coupling does not provide maximum coupling strength, because both phase-matching and mode confinement influence the coupling. The analytic and simulation results for the evanescent coupling correspond to the experimental results. The optimized bus-waveguide width that provides maximum coupling strength results in intrinsic quality factors of up to 1.3 × 106. This study provides reliable guidance for the design of microring resonators, depending on various applications.

Trajectory tracking and active vibration suppression of a smart Single-Link flexible arm using a composite control design

  • Mirzaee, E.;Eghtesad, M.;Fazelzadeh, S.A.
    • Smart Structures and Systems
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    • 제7권2호
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    • pp.103-116
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    • 2011
  • This paper is concerned with the trajectory tracking and vibration suppression of a single-link flexible arm by using piezoelectric materials. The dynamics of a single flexible arm with PZT patches as sensor and actuator is derived using extended Hamilton's principle. Resulting equations show that the coupled beam dynamics including beam vibration and its rigid in-plane rotation takes place in two different time scales. By using singular perturbation theory, the system dynamics is divided into two subsystems. Then, a composite control scheme is elaborated that makes the orientation of the arm track a desired trajectory while suppressing its vibration. The proposed controller has two parts: one is a tracking controller designed for the slow (rigid) subsystem, and the other one is a stabilizing controller for the fast (flexible) subsystem. The outputs considered for the system are angular position of the hub and voltage of the sensor mounted on the structure. To avoid requiring further measurements of beam vibration and also angular velocity of the hub for the fast and slow control laws, respectively, two sliding mode observers for estimating the unknown states are also designed.