• 제목/요약/키워드: Nonlinear Equation of Motion

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터렛계류된 FPSO의 비선형 운동 해석 (Nonlinear Motion Analysis of FPSO with Turret Mooring System)

  • 임춘규;이호영
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2002년도 추계학술대회 논문집
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    • pp.161-166
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    • 2002
  • As offshore oil fields move towards the deep ocean, the oil production systems such as FPSO are being built these days. Generally, the FPSO is moored by turret mooring lines to keep the position of FPSO. Thus nonlinear motion analysis of moored FPSO must be carried out in the initial design stage because sea environments affect motion of it. In this paper the mathematical model is based on the slow motion maneuvering equations in the horizontal plane considering wave, current and wind forces. The direct integration method is employed to estimate wave loads. The current forces are calculated by using mathematical model of MMG. The turret mooring forces are quasi-statically evaluated by using the catenary equation. The coefficients of a model for wind forces are calculated from Isherwood's experimental data and the variation of wind speed is estimated by wind spectrum according to the guidelines of API-RP2A. The nonlinear motions of FPSO are simulated under external forces due to wave, current, wind including mooring forces in time domain.

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체크밸브의 비선형거동에 관한 연구 (A Study on the Nonlinear Behavior of Check Valve System)

  • 박철희;홍성철;박용석
    • 소음진동
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    • 제4권2호
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    • pp.221-230
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    • 1994
  • This paper deals with the dynamic stability and the nonlinear behavior of a check valve system. The nonlinear equations of motion of fluid-valve interation model are derived, which are composed of the unsteady Bernoulli's equation included the jet flow mechanism and equation of motion of a check valve formulated by one degree of freedom. Also, the derived equations of motion are nondimensionalized. According to the change of the nondimensional parameters, the stabilities of the system are analyzed, and the nonlinear interaction responses of the check valve and the passing flow rate are obtained. As the results, the stability charts are constructed for the variation of nondimensional parameters. It is shown that self-excited vibrations exist in a check valve system. And also the Hopf bifurcation and the periodic doubling are found. The presented theoretical model of a check valve system can be utilized to the design and operation of a piping system with the check valve.

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조화진동유동을 포함한 곡선 파이프 계의 혼돈 운동 연구 (Chaotic Vibration of a Curved Pipe Conveying Oscillatory Flow)

  • 박철희;홍성철;김태정
    • 소음진동
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    • 제7권3호
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    • pp.489-498
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    • 1997
  • In this paper, chaotic motions of a curved pipe conveying oscillatory flow are theoretically investigated. The nonliear partial differential equation of motion is derived by Newton's method. The transformed nonlinear ordinary differential equation is a type of Hill's equation, which has the external and parametric excitation with a same frequency. Bifurcation curves of chaotic motion of the piping systems are obtained by applying Melnikov's method. Numerical simulations are performed to demonstrate theoretical results and show the strange attractor of the chaotic motion.

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지능 알고리즘 기반의 이족 보행로봇의 보행 구현 (A Gait Implementation of a Biped Robot Based on Intelligent Algorithm)

  • 강찬수;김진걸;노경곤
    • 제어로봇시스템학회논문지
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    • 제10권12호
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    • pp.1210-1216
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    • 2004
  • This paper deals with a human-like gait generation of a biped robot with a balancing weight of an inverted pendulum type by using genetic algorithm. The ZMP (Zero Moment Point) is the most important index in a biped robot's dynamic walking stability. To perform a stable walking of a biped robot, a balancing motion is required according to legs' trajectories and a desired ZMP trajectory. A dynamic equation of the balancing motion is nonlinear due to an inverted pendulum type's balancing weight. To solve the nonlinear equation by the FDM (Finite Difference Method), a linearized model of equation is proposed. And GA (Genetic Algorithm) is applied to optimize a human-like balancing motion of a biped robot. By genetic algorithm, the index of the balancing motion is efficiently optimized, and a dynamic walking stability is verified by the ZMP verification equation. These balancing motion are simulated and experimented with a real biped robot IWR-IV. This human-like gait generation will be applied to a humanoid robot, at future work.

부분상태 궤환제어를 이용한 비선형 천정크레인의 진자각제어 (Anti-swing of the Nonlinear Overhead Crane Using Partial State Feedback Control)

  • 이종규;이상룡
    • 대한기계학회논문집A
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    • 제21권6호
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    • pp.907-917
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    • 1997
  • The purpose of this study is to design an anti-sway motion for industrial overhead cranes which transport objects on a horizontal plane by adjusting movements of a trolley motor and a girder motor. The movement of a hoist motor has not been considered at this time since its role was assumed to move objects only vertically, therefore, not to affect the swing motion of objects. The dynamic behavior of the swing motion shows nonlinear characteristics, which makes the design of anti-sway motion controller difficult. First of all, the nonlinear state equation for the motion of industrial overhead cranes has been derived. Then they have been linearized about normal operating states determined by the dynamic characteristics of motor motion-acceleration, constant speed, and deceleration, and deceleration, during transportation. The partial state feedback control algorithm based on this linearized state equation has been developed on order to suppress the swing motion. The simulation results have demonstrated satisfactory performance of the proposed controller.

선형화 알고리듬을 이용한 재료적 비선형 구조물의 동적해석 (Dynamic analysis of structures using linearized alogrithm for material nonlinearity)

  • 심재수;임선묵
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1993년도 봄 학술발표회논문집
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    • pp.53-60
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    • 1993
  • Nonlinear equation of motion due to material nonlinearity of structure is transformed to linear equation of motion by treating the nonlinear elastic force term as an applied force. The solution in a time step is carried out by iterative linear dynamic analysis. The present simple algorithm is varidated by several examples .The results show that this algorithm is and efficient.

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범함수 정의역 분할에 바탕을 둔 비선형 계층적 움직임 추정기법 (Nonlinear hierarchical motion estimation method based on decompositionof the functional domain)

  • 심동규;박래홍
    • 한국통신학회논문지
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    • 제21권4호
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    • pp.807-821
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    • 1996
  • In this paper, we proposed a nonlinear hierarchical mtion estimation method. Generally, the conventional hierarchical motion estimation methods have been proposed for fast convergence and detection of large motions. But they have a common drawback that large error in motion estimation is propapated across motion discontinuities. This artifiact is due to the constriaint of motion continuity and the linear interpolation of motion vectors between hierarchical levels. In this paper, we propose an effective hierarchical motion estimation mechod that is robust to motion discontinuities. The proposed algorithm is based on the decomposition of the functional domain for optimizing the intra-level motion estimation functional. Also, we propose an inter-level nonlinear motion estimation equation rather than using the conventional linearprojection scheme of motion field. computer simulations with several test sequences show tht the proposed algorithm performs better than several conventional methods.

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Study for the Nonlinear Rolling Motion of Ships in Beam Seas

  • Long, Zhan-Jun;Lee, Seung-Keon;Jeong, Jae-Hun;Lee, Sung-Jong
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 2009년도 추계학술대회
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    • pp.239-240
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    • 2009
  • Vessels stability problems need to resolve the nonlinear mathematical models of rolling motion. For nonlinear systems subjected to random excitations, there are very few special cases can obtain the exact solutions. In this paper, the specific differential equations of rolling motion for intact ship considering the restoring and damping moment have researched firstly. Then the partial stochastic linearization method is applied to study the response statistics of nonlinear ship rolling motion in beam seas. The ship rolling nonlinear stochastic differential equation is then solved approximately by keeping the equivalent damping coefficient as a parameter and nonlinear response of the ship is determined in the frequency domain by a linear analysis method finally.

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Study for the Safety of Ships' Nonlinear Rolling Motion in Beam Seas

  • Long, Zhan-Jun;Lee, Seung-Keon;Jeong, Jae-Hun;Lee, Sung-Jong
    • 한국항해항만학회지
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    • 제33권9호
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    • pp.629-634
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    • 2009
  • Vessels stability problems need to resolve the nonlinear mathematical models of rolling motion. For nonlinear systems subjected to random excitations, there are very few special cases can obtain the exact solutions. In this paper, the specific differential equations of rolling motion for intact ship considering the restoring and damping moment have researched firstly. Then the partial stochastic linearization method is applied to study the response statistics of nonlinear ship rolling motion in beam seas. The ship rolling nonlinear stochastic differential equation is then solved approximately by keeping the equivalent damping coefficient as a parameter and nonlinear response of the ship is determined in the frequency domain by a linear analysis method finally.

비선형 천장 크레인시스템의 위치제어 알고리즘 개발 (Development of the Position Control Algorithm for Nonlinear Overhead Crane Systems)

  • 이종규;이상룡
    • 한국정밀공학회지
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    • 제17권4호
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    • pp.142-147
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    • 2000
  • An overhead crane system which transports an object by girder motion, trolley motion, and hoist motion becomes a nonlinear system because the length of a rope changes. To develope the position control algorithm for the nonlinear crane systems, we apply a nonlinear optimal control method which uses forward and backward difference methods and obtain optimal inputs. This method is suitable for the overhead crane system which is characterized by the differential equation of higher degree and swing motion. From the results of computer simulation, it is founded that the position of the overhead crane system is controlled, and the swing of the object is suppressed.

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