• 제목/요약/키워드: Simultaneous equations system

검색결과 104건 처리시간 0.024초

운전모드에 따른 회전축계의 동적거동 (Dynamic Behavior of Rotating Shaft System Corresponding to Operating Modes)

  • 김상환
    • 대한기계학회논문집A
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    • 제20권9호
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    • pp.2744-2751
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    • 1996
  • In case of limited power supply, a rotating shaft system may not reach its operating speed that is greater than its critical speed, but the speed oscillates with small ampllitude near critical speed. As a result, it is considered that the operating mode plays an important role in the smooth start of machines. In order to investigate the dynamic behaviors of the rotating shaft system at the beginning stage, one has derived the equations of motion whose degrees of freedom is three, two translations and one rotation. The simultaneous differential equations are numerically solved by using runge-Kutta method, and thus the small time step length could be required corresponding to the stability of solution. Three types of operating modes dependent upon the driving torque rate have been numerically investigated according to the maximum displacement of shaft center. The first type of relation is linear, the second type is composed of two linear curves recommended by machine manufacturer, and the last one is the proposed torque curve reflecting the frequency response curve of one degree of freedom system. For the second type of modes, it is found that the optimal range of intermediate speed to the critical speed lies between 0.8 and 0.9. In addition to that, the maximum displacement can be reduced more if the third type of mode is utilized.

분기관의 자동제어를 통한 조석수조의 설계 (Design of Tidal Basin Using Automatically Controlled Manifold System)

  • 전인식;오영민;이달수
    • 한국해안해양공학회지
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    • 제6권4호
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    • pp.327-334
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    • 1994
  • 실험실 수조에서 조석 및 조류를 발생시키기 위해서는 수조내에 흐름의 분출부와 흡입부를 적절히 설치해야 한다. 분기관은 관수로 측면에 설치된 다수의 구멍을 통하여 관내ㆍ외 압력차에 의해 물을 분출 또는 흡입하는 장치이다. 수조 폭에 따라 균등한 단위폭당 유량을 발생시키기 위해서는 각 구멍의 크기를 적절히 결정해야 하며 이를 위해서는 공급류량, 공급수두, 수두손실, 구멍에서의 분출 및 흡입류량 등의 수리특성을 파악하여야 한다. 본 연구에서는 에너지 방정식과 연속방정식으로부터 비롯되는 비선형 연립방정식을 구성하고 Newton 해법을 적용하여 분출 및 흡입분기관의 수리특성을 파악하였다. 아울러, 자동제어 밸브가 부착된 분기관이 수조폭에 걸쳐 일정한 유량을 유지해야하는 조석수조에 효과적으로 사용될 수 있음을 확인하였다.

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비대선 모형에 대한 점성유동의 수치해석연구 (A Study on the Numerical Analysis of the Viscous Flow for a Full Ship Model)

  • 박명규;강국진
    • 한국항해학회지
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    • 제19권2호
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    • pp.13-22
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    • 1995
  • This paper presents the numerical analysis results of the viscous flow for a full ship model. The mass and momentum conservation equations are used for governing equations, and the flow field is discretized by the Finite-Volume Method for the numerical calculation. An algebraic grid and elliptic grid generation techniques are adopted for generation of the body-fitted coordinates system, which is suitable to ship's hull forms. Time-marching procedure is used to solve the three-dimensional unsteady problem, where the convection terms are approximated by the QUICK scheme and the 2nd-order central differencing scheme is used for other spatial derivatives. A Sub-Grid Scale turbulence model is used to approximate the turbulence, and the wall function is used at the body surface. Pressure and velocity fields are calculated by the simultaneous iteration method. Numerical calculations were accomplished for the Crude Oil Tanker(DWT 95,000tons, Cb=0.805) model. Calculation results are compared to the experimental results and show good agreements.

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Repair policies of failure detection equipments and system availability

  • Na, Seongryong;Bang, Sung-Hwan
    • Communications for Statistical Applications and Methods
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    • 제29권2호
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    • pp.151-160
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    • 2022
  • The total system is composed of the main system (MS) and the failure detection equipment (FDE) which detects failures of MS. The analysis of system reliability is performed when the failure of FDE is possible. Several repair policies are considered to determine the order of repair of failed systems, which are sequential repair (SQ), priority repair (PR), independent repair (ID), and simultaneous repair (SM). The states of MS-FDE systems are represented by Markov models according to repair policies and the main purpose of this paper is to derive the system availabilities of the Markov models. Analytical solutions of the stationary equations are derived for the Markov models and the system availabilities are immediately determined using the stationary solutions. A simple illustrative example is discussed for the comparison of availability values of the repair policies considered in this paper.

기업지배구조별 주가변동체계 간 통계적 연관성 (Statistical Interrelationships Among Variations in Stock Price System by Corporate Governance)

  • 김태호;김민정;이승은
    • 응용통계연구
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    • 제27권5호
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    • pp.797-808
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    • 2014
  • 건전성과 신뢰성이 높은 기업에 선별 투자가 이루어지면 이는 기업의 가치 상승으로 이어지므로 상위 등급의 기업 가치 변동 간 상관성 및 동적 특성에 대한 연구의 필요성이 증대하게 되었다. 본 연구에서는 증권거래소 분류 기업지배구조 등급별 주식수익의 중장기 변동성향을 분석하기 위한 연립방정식 통계모형을 설정하였다. 외생적 충격에 의해 등급별 주식수익에 일어난 변화는 시간이 흐르면서 완만히 조정되어 가는 구조적 특징을 공통적으로 가지고 있으며, 변동 과정이나 성향도 등급 간에 별다른 차이가 없는 것으로 판명되었다.

Identification of structural systems and excitations using vision-based displacement measurements and substructure approach

  • Lei, Ying;Qi, Chengkai
    • Smart Structures and Systems
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    • 제30권3호
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    • pp.273-286
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    • 2022
  • In recent years, vision-based monitoring has received great attention. However, structural identification using vision-based displacement measurements is far less established. Especially, simultaneous identification of structural systems and unknown excitation using vision-based displacement measurements is still a challenging task since the unknown excitations do not appear directly in the observation equations. Moreover, measurement accuracy deteriorates over a wider field of view by vision-based monitoring, so, only a portion of the structure is measured instead of targeting a whole structure when using monocular vision. In this paper, the identification of structural system and excitations using vision-based displacement measurements is investigated. It is based on substructure identification approach to treat of problem of limited field of view of vision-based monitoring. For the identification of a target substructure, substructure interaction forces are treated as unknown inputs. A smoothing extended Kalman filter with unknown inputs without direct feedthrough is proposed for the simultaneous identification of substructure and unknown inputs using vision-based displacement measurements. The smoothing makes the identification robust to measurement noises. The proposed algorithm is first validated by the identification of a three-span continuous beam bridge under an impact load. Then, it is investigated by the more difficult identification of a frame and unknown wind excitation. Both examples validate the good performances of the proposed method.

Dynamic Analysis of a Reciprocating Compression Mechanism Considering Hydrodynamic Forces

  • Kim, Tae-Jong
    • Journal of Mechanical Science and Technology
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    • 제17권6호
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    • pp.844-853
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    • 2003
  • In this paper, a dynamic analysis of the reciprocating compression mechanism of a small refrigeration compressor is performed. In the problem formulation of the mechanism dynamics, the viscous frictional force between the piston and the cylinder wall is considered in order to determine the coupled dynamic behaviors of the piston and the crankshaft. Simultaneous solutions are obtained for the equations of motion of the reciprocating mechanism and the time-dependent Reynolds equations for the lubricating film between the piston and the cylinder wall and for the oil films on the journal bearings. The hydrodynamic forces of the journal bearings are calculated by using a finite bearing model along with the Gumbel boundary condition. A Newton-Raphson procedure is employed in solving the nonlinear equations for the piston and crankshaft. The developed computer program can be used to calculate the complete trajectories of the piston and the crankshaft as functions of the crank angle under compressor-running conditions. The results explored the effects of the radial clearance of the piston, oil viscosity, and mass and mass moment of inertia of the piston and connecting rod on the stability of the compression mechanism.

지구 중력장 내에서 성립하는 운동 상태 방정식의 해를 구하기 위한 벡터의 스칼라 프로덕트 응용 (Application of Vector Scalar Product to Solve the Kinematic Equations in the Earth's Gravitational Field)

  • 엄기홍
    • 한국인터넷방송통신학회논문지
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    • 제17권6호
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    • pp.217-222
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    • 2017
  • 지구 중력장 내에 위치한 물체는 연직 아래 방향의 힘을 받고 있다. 중력장 내에서 물체의 운동을 기술하기 위하여 운동상태 방정식을 이용한다. 자유 낙하하는 물체를 해석할 때 기준 방향은 연직 하방을 +y으로, 연직위로 던져 올린 물체를 해석할 때 기준방향은 연직상방을 +y으로, 연직 아래로 던져 내린 물체를 해석할 때, 기준 방향은 연직 하방을 +y으로 선택하여 해석함이 일반적이다. 이 논문에서는 두 벡터의 스칼라 곱 (즉, 도트 곱)을 이용하여 연직 상방 또는 하방 두 경우를 방향으로 선택하여 구성한 벡터 운동 상태 방정식(vector kinematics equations)을 해석의 결과가 서로 일치함을 제시한다. 두 벡터의 스칼라 곱 (즉, 도트 곱)을 이용하여 물체의 상태 방정식를 해석한 예는 선행 연구에서 거의 찾아볼 수가 없다. 이 결과를 이용하면, 수평면의 방향 또는 빗각을 이루는 방향의 초속도로 던져 올리거나 던져 내린 물체의 운동 상태를 해석하기 위하여 연직 기준 방향을 상방 또는 하방으로 임의 선택할 수가 있다.

훅조인트로 연결된 축계의 비선형 비틀림 진동 : 조합공진의 경우 (Nonlinear Torsional Oscillations of a System Incorporating a Hooke's Joint : Combination Resonances)

  • 장서일
    • 한국소음진동공학회논문집
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    • 제15권6호
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    • pp.706-711
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    • 2005
  • Torsional oscillations of a system incorporating a Hooke's joint are investigated by studying a simple similar nonlinear 2-degree-of-freedom model, which has linear and quadratic nonlinear parametric excitations. The simple system is identified to have the possibilities of primary, sub harmonic and combination resonances. The case of simultaneous primary and combination resonances is selected for perturbation analysis to have the reduced amplitude-equations of motion. The same procedure is applied to the system incorporating a Hooke's joint.

기술함수를 이용한 비선형 결합부를 가진 구조물의 진동해석 (Vibration Analysis of Structure with Nonlinear Joint Using Describing Function)

  • 박해성;지태한;박영필
    • 대한기계학회논문집
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    • 제18권2호
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    • pp.372-379
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    • 1994
  • In this study, the describing function is adopted to represent nonlinearity in the system equations. The compliance can be obtained by solving nonlinear simultaneous algebraic quations for multi-degrees-of-freedom system with multinonlinearities. When the technique is applied, the nonlinearity of the system can be identified from the compliance which is obtained from the sinusoidal excitation of the system. By employing the describing function in the Building Block Analysis, we can extensively develop the BBA into investigation of the continuous systems with nonlinearities. The evaluated compliance can quantitatively show the effects of nonlinearity such as the transfer of the natural frequency, the variance of the compliance at the natural frequency, and the jump phenomena which occur during sweeping of the excitation frequency.