• 제목/요약/키워드: Linear Stability Equation

검색결과 263건 처리시간 0.03초

동적 유입류 모델을 이용한 회전익기 전진비행 공탄성 해석 (Aeroelastic Analysis of Rotorcraft in Forward Flight Using Dynamic Inflow Model)

  • 이준배;유승재;정민수;이인;김덕관;오세종;이관중
    • 한국항공우주학회지
    • /
    • 제39권4호
    • /
    • pp.297-305
    • /
    • 2011
  • 본 논문에서는 비정상 공기력을 모델링하기위해 Peters-He의 동적유입류모델을 고려한 2차원 준정상 공기력 이론을 적용하여 회전익기 전진비행에 대한 공탄성 해석을 수행하였다. 또한, 공력탄성학적 안정성 해석을 수행하기 위하여, 전진비행 시 주기적인 특성을 갖는 비선형 정적 트림 해를 얻기 위해 동체 평형을 고려한 연계 트림 해석을 통한 완전 유한요소 방정식을 이용하였다. 동적유입류모델의 공력과 구조 특성을 검증하기 위해 유도 유입류와 깃끝에서의 구조변형을 타 수치해석결과와 비교하였다. 또한, 공탄성 안정성을 검증하기 위해 두 모델의 래그 감쇠값을 비교하였다.

세미 플로팅 링 베어링으로 지지된 터보차저의 Subsynchronous 진동 특성 (Subsynchronous Vibration Behavior of Turbocharger Supported by Semi Floating Ring Bearing)

  • 이동현;김영철;김병옥;안국영;이영덕
    • 한국유체기계학회 논문집
    • /
    • 제20권1호
    • /
    • pp.15-20
    • /
    • 2017
  • The small turbocharger for the automotive application is designed to operate up to 200,000 rpm to increase system efficiency. Because of high rotation speed of turbocharger, floating ring bearing are widely adopted due to its low friction loss and high rotordynamic stability. This paper presents a linear and nonlinear analysis model for a turbocharger rotor supported by a semi-floating ring bearing. The rotordynamic model for the turbocharger rotor was constructed based on the finite element method and fluid film forces were calculated based on the infinitely short bearing assumption. In linear analysis, we considered fluid film force as stiffness and damping element and in nonlinear analysis, the fluid film force was calculated by solving the time dependent Reynolds equation. We verified the developed theoretical model by comparing to modal test results of test rotors. The analysis results show that there are two unstable modes, which are conical and cylindrical modes. These unstable modes appear as sub-synchronous vibrations in nonlinear analysis. In nonlinear analysis, frequency jump phenomenon demonstrated when vibration mode is changed from conical mode to cylindrical one. This jump phenomenon was also demonstrated in the test. However, the natural frequency measured in the test differs from those obtained using nonlinear analysis.

극소형 위성 HAUSAT-1의 3축 자세 안정화 시스템 설계 (The 3-Axis Attitude Stabilization System Design of Picosat Hausat-1)

  • 서승원;정남숙;장영근
    • 한국항공우주학회지
    • /
    • 제31권7호
    • /
    • pp.100-111
    • /
    • 2003
  • 극소형 피코위성 HAUSAT-1(Hankuk Aviation University SATellite-1)의 궤도는 고도 650km~800km, 경사각 65도 또는 98도에서 비행할 예정이다. 저궤도에서 운용되기 때문에 외란으로 작용하는 요소 중 지구중력과 지구 자기장에 의한 영향이 크다. HAUSAT-1은 자세제어를 하기 위해서 자기 토커를 사용하며, 부가적으로 탑재체인 태양전지셀 전개 매커니즘을 중력구배 붐으로 사용한다. 위성의 자세 안정화 성능을 판단하기 위해서 MATLAB을 이용해서 시뮬레이션 하였고, 시뮬레이션은 8차 자기장 모델, 비선형 외란 방정식, 그리고 비선형 위성 자세방정식을 사용해서 수행되었다. 시뮬레이션을 통해서 HAUSAT-1의 중력구배붐 전개 전과 후 그리고 외란에 의한 자세 변화를 확인하고 결과를 비교했다. 자기 토커를 이용한 효율적인 HAUSAT-1의 자세제어 시스템 개발을 위한 자세 안정화 방법에 대해서도 분석하였다.

비탈면 안정해석과 유지관리의 통합해석기법 (Integral Method of Stability Analysis and Maintenance of Slope)

  • 박민철;유병옥;백용;황영철
    • 한국지반환경공학회 논문집
    • /
    • 제17권3호
    • /
    • pp.27-35
    • /
    • 2016
  • 비탈면 안정해석 기법과 유지관리를 위한 계측자료 해석기법은 다양하게 제시되어 있지만 두 기법을 연계할 수 있는 방안은 제시되지 않았다. 본 연구에서는 진행성 파괴에 대한 비탈면 안정해석과 계측기반의 유지관리를 통합할 수 있는 해석기법을 제안하였다. 시간 열화에 의한 비탈면의 붕괴과정은 강도감소계수를 적용한 지반강도정수를 이용하여 정량화하고, 비탈면 붕괴 시 까지의 안전율과 파괴범위를 산정하였다. 변위는 누적 변위 곡선과 변위 속도 곡선, 변위 역속도 곡선으로 정량화하여 유지관리 기법과 연계하였다. 제안된 절차로 해석을 수행한 결과, 누적 변위 곡선을 이용한 비탈면의 파괴모델은 기존 연구와 동일하게 3차 다항모델로 산정되었다. 붕괴 시점 예측에 적용되는 변위 역속도의 취성재료에서는 1차 직선식, 연성재료에서는 3차 다항식으로 감소되어 Fukuzono(1985)의 제안식과 일치하였으며 붕괴사례와도 유사한 거동을 나타내었다.

Parametric Instability Boundaries for Spatial Subharmonics in Photorefractive Moving Gratings: Theory and Experiments

  • Kwak, Chong-Hoon;Lee, El-Hang
    • ETRI Journal
    • /
    • 제16권4호
    • /
    • pp.13-25
    • /
    • 1995
  • We have derived a nonlinear spatiotemporal differential equation for space-charge fields from Kukhtarev’s material equations in a moving coordinate system and obtained the spatial subharmonic instability boundaries by using linear stability analysis. It is also found that there is an analogy between the temporal subharmonic and the spatial subharmonc instabilities in the sense that the governing differential equations describing the instability boundaries are formally identical. The experiments for generating spatial subharmonic waves are performed in a photorefractive $Bi_{12}SiO_{20}$ crystal by using conventional moving grating technique. The threshold detunings are experimentally determined and the results are compared with the theory.

  • PDF

2휠 구동 모바일 로봇의 정밀 위치제어 (A Precise Position Control of Mobile Robot with Two Wheels)

  • 정양근;백승학
    • 한국산업융합학회 논문집
    • /
    • 제18권2호
    • /
    • pp.67-74
    • /
    • 2015
  • Two-wheeled driying mobild robots are precise controlled in terms of linear contol methods without considering the nonlinear dynamical characteristics. However, in the high maneuvering situations such as fast turn and abrupt start and stop, such neglected terms become dominant and heavy influence the overall driving performance. This study describes the nonlinear optimal control method to take advantage of the exact nonlinear dynamics of the balancing robot. Simulation results indicate that the optimal control outperforms in the respect of transient performance and required wheel torques. A design example is suggested for the state matrix that provides design flexibility in the control. It is shown that a well-planned state matrix by reflecting the physics of a balancing robot greatly conrtibutes to the driving performance and stability.

PID 제어기의 주파수응답 기반 다목적 설계도구 (Frequency Response Based Multi-Objective Design Toolbox for PID Controller)

  • 김려화;임연수;김영철
    • 전기학회논문지
    • /
    • 제57권10호
    • /
    • pp.1869-1875
    • /
    • 2008
  • Recently, a direct data-driven synthesis of a proportional integral derivative(PID) controller for a linear time-invariant(LTI) plant was presented in [1]. The authors showed that a complete set of PID controllers achieving robust performance and stability can be calculated directly from frequency response(FR) data without an identified transfer function model. However, it is not convenient to use this method because it requires complicated numerical algorithms to find specific frequencies which are solutions of an identical equation. The method also requires determination of the boundary of the controller's parameters from a finite set of FR data. In this paper, we present the development of a user-friendly Matlab toolbox based on the method in [1]. This toolbox allows us to obtain a complete three-dimensional(3-D) graphical solution of PID controllers that meet multiple design objectives. Several examples are given to demonstrate the use of the toolbox.

Stability analysis of transversely isotropic laminated Mindlin plates with piezoelectric layers using a Levy-type solution

  • Ghasemabadian, M.A.;Saidi, A.R.
    • Structural Engineering and Mechanics
    • /
    • 제62권6호
    • /
    • pp.675-693
    • /
    • 2017
  • In this paper, based on the first-order shear deformation plate theory, buckling analysis of piezoelectric coupled transversely isotropic rectangular plates is investigated. By assuming the transverse distribution of electric potential to be a combination of a parabolic and a linear function of thickness coordinate, the equilibrium equations for buckling analysis of plate with surface bonded piezoelectric layers are established. The Maxwell's equation and all boundary conditions including the conditions on the top and bottom surfaces of the plate for closed and open circuited are satisfied. The analytical solution is obtained for Levy type of boundary conditions. The accurate buckling load of laminated plate is presented for both open and closed circuit conditions. From the numerical results it is found that, the critical buckling load for open circuit is more than that of closed circuit in all boundary and loading conditions. Furthermore, the critical buckling loads and the buckling mode number increase by increasing the thickness of piezoelectric layers for both open and closed circuit conditions.

관측기 기반 하의 최적 슬라이딩 모드 제어기 설계 (Optimal Sliding-Mode Controller Design based on State Observer)

  • 홍민석;유관호
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2005년도 심포지엄 논문집 정보 및 제어부문
    • /
    • pp.119-121
    • /
    • 2005
  • The sliding-mode control technique could make a system unstable which external disturbance and uncertainty exists in. This paper suggests a robust sliding-mode control algorithm which can be applied to a linear system with parameter uncertainties. To reduce the chattering effect, the whole system is comprised of using a state variable in which the state's estimated value is added. The condition of estimated state results from state observer. The proposed control algorithm uses the optimal feedback controller following the dynamic system equation which consists of a state variable resulting from its own state variable, controller input, estimated state variable. Through comparison with the time optimal control algorithm using simulation, the suggested algorithm shows the improved stability and robustness while it manifests the fast tracking characteristics.

  • PDF

Robust H$_{\infty}$ Control Method for Bilinear Systems

  • Kim, Beom-Soo;Lim, Myo-Taeg
    • International Journal of Control, Automation, and Systems
    • /
    • 제1권2호
    • /
    • pp.171-177
    • /
    • 2003
  • In this paper, we investigate a robust $H_{\infty}$ state feedback control technique for continuous time bilinear systems with an additive disturbance input. The nonlinear robust $H_{\infty}$control for bilinear systems requires a solution to the state dependent algebraic Riccati equation (SDARE). We present a new robust $H_{\infty}$control technique based on the successive approximation method for solving the SDARE by converting bilinear systems into time-varying linear systems. The proposed control method guarantees robust stability for closed loop bilinear systems. The proposed algorithm is verified by numerical examples.