• Title/Summary/Keyword: reduced order equation

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Anti-sway Control of Crane System using Hybrid Control Method (하이브리드 방식을 이용한 크레인의 안티스웨이 제어)

  • 박흥수;박준형;이동훈;김상봉
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.559-562
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    • 1995
  • In the crane control system, it is reguired that the travelling time of the crane must be reduced as much as possible and the swing must be stoped at the end point. In paper, we present a hybrid control method which include the optimal regulator and velocity pattern controller in order to make high performance of the anti-sway. To implement the control algorithm, the dynamic equation is linearlized at an equilibrium point, so that the liner time invariant state equation can be obtained. In order to experiment the crane control, we consider 1 over 10 of the gantry crane which is used in a port. As a result, the hybrid control method improve efficient anti-sway control more than conventional velocity pattern control. It is expected that the proposed system will make an important contribution to the industrial fields.

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Exact solution for nonlinear vibration of clamped-clamped functionally graded buckled beam

  • Selmi, Abdellatif
    • Smart Structures and Systems
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    • v.26 no.3
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    • pp.361-371
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    • 2020
  • Exact solution for nonlinear behavior of clamped-clamped functionally graded (FG) buckled beams is presented. The effective material properties are considered to vary along the thickness direction according to exponential-law form. The in-plane inertia and damping are neglected, and hence the governing equations are reduced to a single nonlinear fourth-order partial-integral-differential equation. The von Kármán geometric nonlinearity has been considered in the formulation. Galerkin procedure is used to obtain a second order nonlinear ordinary equation with quadratic and cubic nonlinear terms. Based on the mode of the corresponding linear problem, which readily satisfy the boundary conditions, the frequencies for the nonlinear problem are obtained using the Jacobi elliptic functions. The effects of various parameters such as the Young's modulus ratio, the beam slenderness ratio, the vibration amplitude and the magnitude of axial load on the nonlinear behavior are examined.

연계(連繫)된 전력계통(電力系統)의 최적(最適) 부하주파수(負荷周波數) 제어(制御)

  • Han, Man-Chun;Jang, Seong-Hwan
    • Proceedings of the KIEE Conference
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    • 1979.08a
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    • pp.119-120
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    • 1979
  • A linear state equation of the first order differential form relating the load-frequency dynamic characteristics of interconnected power systems was derived for use in computer simulation. A now solution of the algebraic matrix riccati equation for application in quadratic optimal controllor and least-square state estimator dermination was developed. The program for a dynamic state equation for two interconnected control areas was developed. The optimized load-frequency deviation was analysed and a numerical analysis was tried based on the computer simulation. It was shown that the dynamic response of th loed-frequency could be optimized with weighting factors IR and Q. The result was that the load-frequency and the tie-line deviation were visibly reduced.

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DEVELOPMENT OF A NUMERICAL TECHNIQUE FOR IMPACT AND SPREADING OF A DROPLET CONTAINING PARTICLES ON THE SOLID SUBSTRATE (미세입자분산 액적의 고체면에서 충돌과 퍼짐현상에 관한 직접수치해석 기법개발)

  • Jeong, Hyun-Jun;Hwang, Wook-Ryol;Kim, Chong-Youp
    • Journal of computational fluids engineering
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    • v.13 no.3
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    • pp.8-13
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    • 2008
  • We present a numerical simulation technique and some preliminary results of the impact and spreading of a droplet containing particles on the solid substrate in 2D. We used the 2nd-order Adams-Bashforth / Crank-Nicholson method to solve the Navier-Stokes equation and employed the level-set method with the continuous surface stress for description of droplet spreading with interfacial tension. The impact velocity has been generated by the instantaneous gravity. The distributed Lagrangian-multipliers method has been combined for the implicit treatment of rigid particles and the discontinuous Galerkin method has been used for the stabilization of the interface advection equation. We investigated the droplet spreading by the inertial force and discussed effects of the presence of particles on the spreading behavior using an example problem. We observed reduced oscillation and spread for the particulate droplet.

A Study on Aerodynamic Reduced Order Model Using Proper Orthogonal Decomposition (Proper Orthogonal Decomposition을 이용한 공력축소모델 연구)

  • Jun, Sang-Ook;Park, Kyung-Hyun;Kang, Seung-On;Lee, Dong-Ho
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2009.04a
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    • pp.151-154
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    • 2009
  • 본 연구에서는 Proper Orthogonal Decomposition (POD)를 이용하여 공력축소모델을 구축하였다. 일반적으로 Euler equations과 같은 높은 정확도를 가지는 공력해석을 수행할 경우 많은 계산 비용이 발생하게 된다. 특히 공탄성 해석과 같이 수차례의 공력해석이 필요한 경우 그 비용은 더 증가하게 된다. 이러한 문제를 줄이기 위해서 축소모델(Reduced Order Model; ROM)의 개발은 반드시 필요하다. 공력축소모델을 구하는 방법 중 하나인 POD는 snapshot 데이터로부터 기저벡터를 구하고, 이들의 선형결합을 통하여 축소된 공간에서 해를 찾는 방법이다. 본 연구에서는 POD 기저벡터를 이용한 공력축소모델을 구축하고, 이를 전투기 날개문제에 적용하여 구하여진 정상상태 해와 Euler 해석 결과를 비교해 보았다. 또한 진동하는 익형문제에 적용하여 봄으로써 공탄성 해석에 적용 가능성 여부를 확인하였다.

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Reduced-Order $H^{\infty}$ Optimal Kalman Filtering for Weakly Coupled Systems (연성 결합 시스템에서의 저차 $H^{\infty}$ 최적 칼만 필터 설계)

  • Cho, Jang-Hui;Kim, Beom-Soo;Lim, Myo-Taeg
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2311-2313
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    • 2000
  • In this paper, we consider $H^{\infty}$ optimal Kalman filter problems for linear weakly coupled stochastic systems. We introduce a decomposition for the systems of the Hamiltonian form, which plays an important role of exclusion of ill-condition by ${\varepsilon}$-effect and the parallel computation possibility. It is shown that the algebraic Riccati equation of the weakly coupled $H^{\infty}$ optimal Kalman filter problem is decoupled into completely independent reduced-order, well-defined, two suboptimal Kalman filters.

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Evolutionary Computation for the Real-Time Adaptive Learning Control(II) (실시간 적응 학습 제어를 위한 진화연산(II))

  • Chang, Sung-Ouk;Lee, Jin-Kul
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.730-734
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    • 2001
  • In this study in order to confirm the algorithms that are suggested from paper (I) as the experimental result, as the applied results of the hydraulic servo system are very strong a non-linearity of the fluid in the computer simulation, the real-time adaptive learning control algorithms is validated. The evolutionary strategy has characteristics that are automatically. adjusted in search regions with natural competition among many individuals. The error that is generated from the dynamic system is applied to the mutation equation. Competitive individuals are reduced with automatic adjustments of the search region in accord with the error. In this paper, the individual parents and offspring can be reduced in order to apply evolutionary algorithms in real-time as the description of the paper (I). The possibility of a new approaching algorithm that is suggested from the computer simulation of the paper (I) would be proved as the verification of a real-time test and the consideration its influence from the actual experiment.

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A Design of Variable Structure Controller for the General Single Input Systems with Unmeasurable State Variables (측정불가능한 상태변수를 갖는 일반적인 단일 입력 계통에 대한 가변구조 제어기의 설계)

  • 박귀태;최중경
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.41 no.7
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    • pp.773-783
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    • 1992
  • There have been several control schemes for the single input systems with unmeasurable state variables using variable structure control(VSC) theory. However, each of them is a study on the systems which can be represented in the phase canonical form or non-phase canonical form dynamic equation separately. As these control algorithms have difficulties in practical application by its theoretical limitations, in this paper we propose a new VSC theory which overcomes those limitations, in this paper we propose a new VSC theory which overcomes those limitations of proposed schemes. This new control scheme can be realized for the general linear systems which have unmeasurable state variables. And the switching function of this VSS algorithm consists of measurable state variable function(reduced-order switching function) and its derivatives. Also in the construction of control imput only measurable state variables are used.

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Assessing the Unit Load Reduction Equation of Drainage Outlet Raising Management in Paddy Fields (논 물꼬관리 기법 적용에 따른 원단위 삭감부하량 산정식 평가)

  • Kim, Dong-Hyeon;Oh, Heung-Keun;Jang, Taeil;Ham, Jong-Hwa
    • Journal of The Korean Society of Agricultural Engineers
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    • v.65 no.2
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    • pp.35-45
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    • 2023
  • The DOR (Drainage outlet raising) in the paddy field has been suggested as one of the most important best management practices for the TMDL (Total maximum daily load) management in the technical guidelines by the NIER (National institute of environmental research). However, this method is underestimated and is not well adopted by local governments for the TMDL. The purpose of this study is to evaluate the unit load reduction equation according to the application of DOR in order to expand this equation. The original equation in the guideline was derived using the HSPF (Hydrological Simulation Program-Fortran) model for 1 year in Changnyeong. We analyzed the reduction effect of the original equation application by collecting additional long-term monitoring data from the Buan, Icheon, Iksan, and Jeonju. When comparing the reduction loads between the original equation and monitoring results, the evaluation results of the original equation were 11% of the monitoring analysis results, which was underestimated. This means that the original equation needs to be improved. For assessing the equation, the HSPF Paddy-RCH model was established according to the NI ER guideline and evaluated for applicability. The performance results of the model showed a reasonable range by the statistical criteria. Modified equations 1 and 2 were proposed based on the monitoring and modeling results. Modified equation 1 was the method of modifying the original equation's main factors, and modified equation 2 was the method of applying the non-point pollution reduction efficiency according to the rainfall class using the long-term modeling results. At the level of 58.6~64.6% of monitoring data, the difference between them could be further reduced compared to the original equation. The suggested approach will be more reasonable and practicable for decision-makers and will contribute to the TMDL management plans.

Mixed Lubrication Analysis of Piston Ring Pack in Internal Combustion Engine (내연기관 피스톤 링 팩의 혼합윤활해석)

  • Yun, J.E.
    • Transactions of the Korean Society of Automotive Engineers
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    • v.3 no.6
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    • pp.55-68
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    • 1995
  • Approximately 30 to 70 % of the mechanical losses in a reciprocating engine are contributed by the friction at the piston ring-cylinder interface. The friction characteristics of the piston ring during engine operation is known to as mixed lubrication experimentally. The mixed lubrication models based on the Average Reynolds Equation have been used by this time in order to study the tribological performance of the ring. However, the Average Reynolds Equation contains the expected value term(${\bar{h}}_r$) of local film thickness as well as nominal film thickness(h), so that the work of numerically solving ${\bar{h}}_r$ must be included to obtain the pressure in the oil film. The process of solving ${\bar{h}}_T$ causes a greater multiplying in the numerical solution. In this paper the mixed lubrication analysis using the Simplified Average Reynolds Equation in the piston ring is presented. This equation has only h as oil film thickness term. Therefore the tedious numerical procedure required to obtain ${\bar{h}}_T$ is not needed, and also, computation time can be reduced.

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