• 제목/요약/키워드: coupled natural frequency

검색결과 208건 처리시간 0.028초

6kW 풍력발전기 타워-케이블계의 고유진동수 해석 (Natural Frequency Analysis of the Tower-Cable System of a 6kW Wind Turbine)

  • 김석현;박무열
    • 산업기술연구
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    • 제29권A호
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    • pp.3-8
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    • 2009
  • Vibration characteristics of a 6kW stand alone W/T(wind turbine) system are experimentally and theoretically investigated. Vibration resonance of the tower-cable system is monitored and the data are analysed and compared with the analytical results. To predict the resonance speed of the cable supported W/T, Rayleigh-Ritz method is applied to the tower-guy cable coupled system. Parametric study on the relation of the cable tension, cable elasticity and resonance frequency is carried out. Results of the study are utilized to design the stable structure of small size wind turbines which consist of a pivoted tower and guy cables.

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이동부하를 가지고 병진운동하는 유연보의 운동 해석 (Motion analysis of a Translating Flexible Beam Carrying a Moving Mass)

  • 박상덕;정완균;염영일
    • 한국정밀공학회지
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    • 제16권11호
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    • pp.204-212
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    • 1999
  • In this paper, the vibrational motion of a flexible beam clamped on a translating base and carrying a moving mass is investigated. The equations of motion which describe the total dynamics of the beam-mass-cart system are derived and the coupled dynamic equations are solved by unconstrained modal analysis. In modal analysis, the exact normal mode solutions corresponding to the eigenfrequencies for the position of the moving mass and the ratios of the mass of the flexible beam, the moving mass and the base cart are used. Proper transformations of the time solutions between the normal modes for a position and those for the next position of the moving mass are also adopted. Numerical simulations are carried out to obtain the open-loop responses of the system in tracking the pre-designed path of the moving mass.

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Electromagnetic Micro x-y Stage for Probe-Based Data Storage

  • Park, Jae-joon;Park, Hongsik;Kim, Kyu-Yong;Jeon, Jong-Up
    • JSTS:Journal of Semiconductor Technology and Science
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    • 제1권1호
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    • pp.84-93
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    • 2001
  • An electromagnetic micro x-y stage for probe-based data storage (PDS) has been fabricated. The x-y stage consists of a silicon body inside which planar copper coils are embedded, a glass substrate bonded to the silicon body, and eight permanent magnets. The dimensions of flexures and copper coils were determined to yield $100{\;}\mu\textrm{m}$ in x and y directions under 50 mA of supplied current and to have 440 Hz of natural frequency. For the application to PDS devices, electromagnetic stage should have flat top surface for the prevention of its interference with multi-probe array, and have coils with low resistance for low power consumption. In order to satisfy these design criteria, conducting planar copper coils have been electroplated within silicon trenches which have high aspect ratio ($5{\;}\mu\textrm{m}$in width and $30{\;}\mu\textrm{m}$in depth). Silicon flexures with a height of $250{\;}\mu\textrm{m}$ were fabricated by using inductively coupled plasma reactive ion etching (ICP-RIE). The characteristics of a fabricated electromagnetic stage were measured by using laser doppler vibrometer (LDV) and dynamic signal analyzer (DSA). The DC gain was $0.16{\;}\mu\textrm{m}/mA$ and the maximum displacement was $42{\;}\mu\textrm{m}$ at a current of 180 mA. The measured natural frequency of the lowest mode was 325 Hz. Compared with the designed values, the lower natural frequency and DC gain of the fabricated device are due to the reverse-tapered ICP-RIE process and the incomplete assembly of the upper-sided permanent magnets for LDV measurements.

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반잠수 쌍동선의 최적 운동제어기 설계 (Application of Optimal Control Techniques to SWATH Motion Control)

  • 박찬욱;허보현;송준태
    • 대한조선학회논문집
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    • 제31권2호
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    • pp.65-77
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    • 1994
  • 본 논문은 SWATH선의 히브 및 피치 제어에 대한 LQ이론의 상세한 응용과정을 제시한다. 부가질량과 감쇄계수를 상하동요 고유주기에서의 값으로 근사함으로써 선형 시불변 2차 연립 미분방정식이 주파수 응답 모델로부터 유도된다. 파기진력은 사인파들의 합으로서 모델링 된다. 좋은 과도응답(transient response)과 적절한 제어핀 운동을 얻기 위하여 상태 및 제어 가중행렬의 체계적인 선택과정이 제시된다. 본 논문의 제어기 설계과정의 타당성이 시간영역 및 주파수 영역에서의 시뮬레이션과 전달함수행렬의 특이값 선도에 의해 철저히 조사되어 진다. 최종 설계된 제어시스템은 본 연구의 응용이 성공적이었음을 나타내는 좋은 전체 성능을 보여준다.

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해양플랜트에 병렬 계류된 LNG 운반선의 거동에 슬로싱이 미치는 영향 (The Effects of Sloshing on the Responses of an LNG Carrier Moored in a Side-by-side Configuration with an Offshore Plant)

  • 이승재
    • 한국해양공학회지
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    • 제24권5호
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    • pp.16-21
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    • 2010
  • During the loading/offloading operation of a liquefied natural gas carrier (LNGC) that is moored in a side-by-side configuration with an offshore plant, sloshing that occurs due to the partially filled LNG tank and the interactive effect between the two floating bodies are important factors that affect safety and operability. Therefore, a time-domain software program, called CHARM3D, was developed to consider the interactions between sloshing and the motion of a floating body, as well as the interactions between multiple bodies using the potential-viscous hybrid method. For the simulation of a floating body in the time domain, hydrodynamic coefficients and wave forces were calculated in the frequency domain using the 3D radiation/diffraction panel program based on potential theory. The calculated values were used for the simulation of a floating body in the time domain by convolution integrals. The liquid sloshing in the inner tanks is solved by the 3D-FDM Navier-Stokes solver that includes the consideration of free-surface non-linearity through the SURF scheme. The computed sloshing forces and moments were fed into the time integration of the ship's motion, and the updated motion was, in turn, used as the excitation force for liquid sloshing, which is repeated for the ensuing time steps. For comparison, a sloshing motion coupled analysis program based on linear potential theory in the frequency domain was developed. The computer programs that were developed were applied to the side-by-side offloading operation between the offshore plant and the LNGC. The frequency-domain results reproduced the coupling effects qualitatively, but, in general, the peaks were over-predicted compared to experimental and time-domain results. The interactive effects between the sloshing liquid and the motion of the vessel can be intensified further in the case of multiple floating bodies.

해상풍력시스템의 거동 해석을 위한 지반의 연성효과 고려방안 (The Effect of Flexibility for the Offshore Wind Turbine System)

  • 최창호;한진태;조삼덕;장영은
    • 한국지반환경공학회 논문집
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    • 제14권4호
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    • pp.59-66
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    • 2013
  • 현재 해상풍력시스템의 거동 해석은 지반을 고정단으로 가정한 채로 수행하는 것이 일반적이라고 알려져 있다. 지반의 연성이 고려될 경우 해상풍력시스템의 고유 주파수뿐만 아니라 기초구조물 설계를 위한 하중 또한 변화할 것이라고 예상되나, 이에 대한 연구는 아직 미미한 실정이다. 이에 따라, 본 연구는 기초구조물의 연성을 고려하여 시스템 해석을 수행할 경우 시스템의 고유 주파수와 하중의 변화를 살펴보기 위한 목적으로 수행되었다. 해상풍력시스템의 해석을 위하여 풍력발전기 해석프로그램인 GH-Bladed를 활용하였으며, 해석 시에는 coupled spring 모델과 winkler spring 모델을 활용하여 기초구조물의 연성효과를 고려하였다. 해석결과 지반의 연성 고려방안 중 winkler spring 모델을 적용하여 산정한 시스템 1차모드 및 하중이 지반을 고정단으로 가정한 해석결과와 비교하여 감소하는 것을 확인하였으며, 이를 통하여 지반의 연성이 시스템의 거동에 미치는 영향을 관찰하였다.

유체에 부분적으로 둘러싸인 사각형 용기의 접수진동 (Hydroelastic Vibration of a Rectangular Tank Partially Surrounding with a Liquid)

  • 정경훈;김종욱
    • 한국소음진동공학회논문집
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    • 제25권3호
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    • pp.207-215
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    • 2015
  • This paper deals with a theoretical method to calculate natural frequencies of a fixed-free rectangular tank partially in contact with an outer water gap. Orthogonal polynomials satisfying the boundary conditions of the tank are used as admissible functions in the Rayleigh-Ritz method. A quarter model of the liquid-coupled system is constructed and it is simplified to a line supported flat plate in contact with the liquid. The liquid displacement potential functions satisfying the Laplace equation and water boundary conditions are derived, and the finite Fourier transform is accomplished in conjunction with the compatibility requirement along the contacting interfaces between the tank and water. An eigenvalue problem is derived so that the natural frequencies of the wet rectangular tank can be extracted. The predictions from the proposed analytical method show good agreement with the finite element analysis results.

부가질량 효과와 호흡모드를 고려한 구조-유체연성진동해석 (The Effect of Added Mass of Water and Breath Mode in Fluid-Structure Coupled Vibration Analysis)

  • 배성용
    • 동력기계공학회지
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    • 제9권4호
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    • pp.71-76
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    • 2005
  • Marine structures are often in contact with inner or outer fluid as stern, ballast and oil tanks. The effect of interaction between fluid and structure has to be taken into consideration when we estimate the dynamic response of the structure appropriately. Fatigue damages can also be sometimes observed in these tanks which seem to be caused by resonance. Thin walled tank structures in ships which are in contact with water and located near engine or propeller where vibration characteristics are strongly affected by the added mass of containing water. Therefore it is essentially important to estimate the added mass effect to predict vibration characteristics of tank structures. But it is difficult to estimate exactly the magnitude of the added mass because this is a fluid-structure interaction problem and is affected by the free surface, vibration modes of structural panels and the depth of water. I have developed a numerical tool of vibration analysis of 3-dimensional tank structure using finite elements for plates and boundary elements for fluid region. In the present study, the effect of added mass of containing water, the effect of structural constraint between panels on the vibration characteristics are investigated numerically and discussed. Especially a natural frequencies by the fluid interaction between 2 panels and a breath mode of the water tank are focused on.

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An Implementation Method of Linearized Equations of Motion for Multibody Systems with Closed Loops

  • Bae, D.S.
    • 한국공작기계학회논문집
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    • 제12권2호
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    • pp.71-78
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    • 2003
  • This research proposes an implementation method of linearized equations of motion for multibody systems with closed loops. The null space of the constraint Jacobian is first pre-multiplied to the equations of motion to eliminate the Lagrange multiplier and the equations of motion are reduced down to a minimum set of ordinary differential equations. The resulting differential equations are functions of all relative coordinates, velocities, and accelerations. Since the variables are tightly coupled by the position, velocity, and acceleration level coordinates, direct substitution of the relationships among these variables yields very complicated equations to be implemented. As a consequence, the reduced equations of motion are perturbed with respect to the variations of all variables, which are coupled by the constraints. The position velocity and acceleration level constraints are also perturbed to obtain the relationships between the variations of all relative coordinates, velocities, and accelerations and variations of the independent ones. The Perturbed constraint equations are then simultaneously solved for variations of all variables only in terms of the variations of the independent variables. Finally, the relationships between the variations of all variables and these of the independent ones are substituted into the variational equations of motion to obtain the linearized equations of motion only in terms of the independent variables variations.

기어박스로 구동되는 축-저널베어링계의 동적특성에 관한 연구 (Dynamic Characteristics of a Rotor-Journal Bearing System Driven by Gearboxes)

  • 박상규
    • 소음진동
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    • 제5권4호
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    • pp.565-575
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    • 1995
  • Gearboxes are often used in the petrochemical and electrical power plants to transmit mechanical power between two branches of a machinery train rotating at different speeds. When the gearboxes are connected with rotors supported by journal bearings, bearing loads vary in magnitude and direction with rotor speed and torque transmitted by the gearboxes. In this study, dynamic characteristics of the system which consists of gearboxes and a rotor supported by journal bearings are investigated analytically and experimentally by employing the polynomial transfer matrix method and modal analysis under different speeds and torque levels. Journal bearing loads due to the transmitted torque are claculated analytically and the stiffness and damping coefficient of the journal bearings are obtained using finite element method. Comparison of the analytical and experimental results shows that the cross coupled stiffness coefficients increase with increasing rotor speed, while the cross coupled damping coefficients decrease. This generates the oil whirl instability in the journal bearings. As the transmitted torque level goes up, the stiffness coefficients of the journal bearing and the first horizontal natural frequency increase. High levels of the transmitted torque produce high bearing stiffness since the contact loads of the mating gear teeth increase. The logarithmic decrement, which is a stability indicator, is shown to decrease with increasing speed and decreasing torque. Thus, at the low torque level, the system become unstable even at the low shaft speed.

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